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1.

電子ブック
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1. Non-Euclidean Geometries : János Bolyai Memorial Volume
edited by András Prékopa, Emil Molnár
出版情報: Boston, MA : Springer Science+Business Media, Inc., 2006
シリーズ名: Mathematics and Its Applications ; 581
オンライン: http://dx.doi.org/10.1007/0-387-29555-0
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2.

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2. Differential Geometry of Curves and Surfaces : A Concise Guide
by Victor A. Toponogov ; edited by Vladimir Y. Rovenski
出版情報: Boston, MA : Birkhäuser-Verlag, 2006
オンライン: http://dx.doi.org/10.1007/b137116
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3.

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3. Dirac Operators in Representation Theory
by Jing-Song Huang, Pavle Pandžić
出版情報: Boston, MA : Birkhäuser Boston, 2006
シリーズ名: Mathematics: Theory & Applications ;
オンライン: http://dx.doi.org/10.1007/978-0-8176-4493-2
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4.

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4. Geometric Function Theory : Explorations in Complex Analysis
edited by Steven G. Krantz
出版情報: Boston, MA : Birkhäuser Boston, 2006
シリーズ名: Cornerstones ;
オンライン: http://dx.doi.org/10.1007/0-8176-4440-7
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5.

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5. Statistics and Analysis of Shapes
edited by Hamid Krim, Anthony Yezzi
出版情報: Boston, MA : Birkhäuser Boston, 2006
シリーズ名: Modeling and Simulation in Science, Engineering and Technology ;
オンライン: http://dx.doi.org/10.1007/0-8176-4481-4
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6.

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6. Modern Differential Geometry in Gauge Theories : Maxwell Fields, Volume I
by Anastasios Mallios
出版情報: Boston, MA : Birkhäuser Boston, 2006
オンライン: http://dx.doi.org/10.1007/0-8176-4474-1
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7.

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7. Differential Geometry and Analysis on CR Manifolds
by Sorin Dragomir, Giuseppe Tomassini
出版情報: Boston, MA : Birkhäuser Boston, 2006
シリーズ名: Progress in Mathematics ; 246
オンライン: http://dx.doi.org/10.1007/0-8176-4483-0
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8.

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8. Cycle Spaces of Flag Domains : A Complex Geometric Viewpoint
by Gregor Fels, Alan Huckleberry, Joseph A. Wolf
出版情報: Boston, MA : Birkhäuser Boston, 2006
シリーズ名: Progress in Mathematics ; 245
オンライン: http://dx.doi.org/10.1007/0-8176-4479-2
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9.

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9. Discrete Groups, Expanding Graphs and Invariant Measures
by Alexander Lubotzky
出版情報: Basel : Birkhäuser Basel, 2010
シリーズ名: Modern Birkhäuser Classics ;
オンライン: http://dx.doi.org/10.1007/978-3-0346-0332-4
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10.

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10. Modeling of Curves and Surfaces with MATLAB®
by Vladimir Rovenski
出版情報: New York, NY : Springer Science+Business Media, LLC, 2010
シリーズ名: Springer Undergraduate Texts in Mathematics and Technology ; 7
オンライン: http://dx.doi.org/10.1007/978-0-387-71278-9
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11.

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11. Modern Differential Geometry in Gauge Theories : Yang¿Mills Fields, Volume II. 1
by Anastasios Mallios
出版情報: Boston : Birkhäuser Boston, 2010
オンライン: http://dx.doi.org/10.1007/978-0-8176-4634-9
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12.

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12. CR Submanifolds of Complex Projective Space
by Mirjana Djoric, Masafumi Okumura
出版情報: New York, NY : Springer-Verlag New York, 2010
シリーズ名: Developments in Mathematics, Diophantine Approximation: Festschrift for Wolfgang Schmidt ; 19
オンライン: http://dx.doi.org/10.1007/978-1-4419-0434-8
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13.

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13. Mean Curvature Flow and Isoperimetric Inequalities
by Manuel Ritoré, Carlo Sinestrari
出版情報: Basel : Birkhäuser Basel, 2010
シリーズ名: Advanced Courses in Mathematics — CRM Barcelona, Centre de Recerca Matemàtica ;
オンライン: http://dx.doi.org/10.1007/978-3-0346-0213-6
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14.

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14. Riemannian Geometry of Contact and Symplectic Manifolds
by David E. Blair
出版情報: Boston : Springer Science+Business Media, LLC, 2010
シリーズ名: Progress in Mathematics ; 203
オンライン: http://dx.doi.org/10.1007/978-0-8176-4959-3
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15.

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15. Shapes and Diffeomorphisms
by Laurent Younes
出版情報: Berlin, Heidelberg : Springer-Verlag Berlin Heidelberg, 2010
シリーズ名: Applied Mathematical Sciences ; 171
オンライン: http://dx.doi.org/10.1007/978-3-642-12055-8
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16.

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16. Elementary Differential Geometry
by A.N. Pressley
出版情報: London : Springer-Verlag London, 2010
シリーズ名: Springer Undergraduate Mathematics Series ;
オンライン: http://dx.doi.org/10.1007/978-1-84882-891-9
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17.

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17. Global Analysis of Minimal Surfaces
by Ulrich Dierkes, Stefan Hildebrandt, Anthony J. Tromba
出版情報: Berlin, Heidelberg : Springer-Verlag Berlin Heidelberg, 2010
シリーズ名: Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics ; 341
オンライン: http://dx.doi.org/10.1007/978-3-642-11706-0
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18.

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18. Minimal Surfaces
by Ulrich Dierkes, Stefan Hildebrandt, Friedrich Sauvigny
出版情報: Berlin, Heidelberg : Springer-Verlag Berlin Heidelberg, 2010
シリーズ名: Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics ; 339
オンライン: http://dx.doi.org/10.1007/978-3-642-11698-8
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19.

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19. Regularity of Minimal Surfaces
by Ulrich Dierkes, Stefan Hildebrandt, Anthony J. Tromba
出版情報: Berlin, Heidelberg : Springer-Verlag Berlin Heidelberg, 2010
シリーズ名: Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics ; 340
オンライン: http://dx.doi.org/10.1007/978-3-642-11700-8
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20.

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20. Mathematical Analysis of Problems in the Natural Sciences
by Vladimir Zorich
出版情報: Berlin, Heidelberg : Springer-Verlag Berlin Heidelberg, 2011
オンライン: http://dx.doi.org/10.1007/978-3-642-14813-2
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21.

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21. Integral Geometry and Radon Transforms
by Sigurdur Helgason
出版情報: New York, NY : Springer Science+Business Media, LLC, 2011
オンライン: http://dx.doi.org/10.1007/978-1-4419-6055-9
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22.

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22. An Introduction to Manifolds
by Loring W. Tu
出版情報: New York, NY : Springer Science+Business Media, LLC, 2011
シリーズ名: Universitext ;
オンライン: http://dx.doi.org/10.1007/978-1-4419-7400-6
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23.

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23. Heat Kernels for Elliptic and Sub-elliptic Operators : Methods and Techniques. 1
by Ovidiu Calin, Der-Chen Chang, Kenro Furutani, Chisato Iwasaki
出版情報: Boston : Springer Science+Business Media, LLC, 2011
シリーズ名: Applied and Numerical Harmonic Analysis ;
オンライン: http://dx.doi.org/10.1007/978-0-8176-4995-1
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24.

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24. Geodesic and Horocyclic Trajectories
by Françoise Dal’Bo
出版情報: London : Springer-Verlag London Limited, 2011
シリーズ名: Universitext ;
オンライン: http://dx.doi.org/10.1007/978-0-85729-073-1
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25.

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25. The Mathematics of Knots : Theory and Application
edited by Markus Banagl, Denis Vogel
出版情報: Berlin, Heidelberg : Springer-Verlag Berlin Heidelberg, 2011
シリーズ名: Contributions in Mathematical and Computational Sciences ; 1
オンライン: http://dx.doi.org/10.1007/978-3-642-15637-3
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26.

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26. Symplectic Invariants and Hamiltonian Dynamics
by Helmut Hofer, Eduard Zehnder
出版情報: Basel : Springer Basel AG, 2011
シリーズ名: Modern Birkhäuser Classics ;
オンライン: http://dx.doi.org/10.1007/978-3-0348-0104-1
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27.

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27. Geometry of Homogeneous Bounded Domains
edited by E. Vesentini
出版情報: Berlin, Heidelberg : Springer-Verlag Berlin Heidelberg, 2011
シリーズ名: C.I.M.E. Summer Schools ; 45
オンライン: http://dx.doi.org/10.1007/978-3-642-11060-3
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28.

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28. Problemi di geometria differenziale in grande
edited by E. Bompiani
出版情報: Berlin, Heidelberg : Springer-Verlag Berlin Heidelberg, 2011
シリーズ名: C.I.M.E. Summer Schools ; 16
オンライン: http://dx.doi.org/10.1007/978-3-642-10895-2
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29.

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29. Complex and Differential Geometry : Conference held at Leibniz Universität Hannover, September 14 – 18, 2009
edited by Wolfgang Ebeling, Klaus Hulek, Knut Smoczyk
出版情報: Berlin, Heidelberg : Springer-Verlag Berlin Heidelberg, 2011
シリーズ名: Springer Proceedings in Mathematics ; 8
オンライン: http://dx.doi.org/10.1007/978-3-642-20300-8
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30.

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30. Geometric Aspects of Analysis and Mechanics : In Honor of the 65th Birthday of Hans Duistermaat
edited by Johan A.C. Kolk, Erik P. van den Ban
出版情報: Boston : Springer Science+Business Media, LLC, 2011
シリーズ名: Progress in Mathematics ; 292
オンライン: http://dx.doi.org/10.1007/978-0-8176-8244-6
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31.

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31. Topics in Extrinsic Geometry of Codimension-One Foliations. 1
by Vladimir Rovenski, Paweł Walczak
出版情報: New York, NY : Vladimir Rovenski and Pawet Walczak, 2011
シリーズ名: SpringerBriefs in Mathematics ; 1
オンライン: http://dx.doi.org/10.1007/978-1-4419-9908-5
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32.

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32. Riemannian Geometry and Geometric Analysis
by Jürgen Jost
出版情報: Berlin, Heidelberg : Springer-Verlag Berlin Heidelberg, 2011
シリーズ名: Universitext ;
オンライン: http://dx.doi.org/10.1007/978-3-642-21298-7
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33.

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33. The Heat Kernel Lefschetz Fixed Point Formula for the Spin-c Dirac Operator
by J. J. Duistermaat
出版情報: Boston, MA : Springer Science+Business Media, LLC, 2011
シリーズ名: Modern Birkhäuser Classics ;
オンライン: http://dx.doi.org/10.1007/978-0-8176-8247-7
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34.

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34. Symplectic Methods in Harmonic Analysis and in Mathematical Physics
by Maurice A. Gosson
出版情報: Basel : Springer Basel AG, 2011
シリーズ名: Pseudo-Differential Operators, Theory and Applications ; 7
オンライン: http://dx.doi.org/10.1007/978-3-7643-9992-4
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35.

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35. Hamiltonian Structures and Generating Families
by Sergio Benenti
出版情報: New York, NY : Springer Science+Business Media, LLC, 2011
シリーズ名: Universitext ;
オンライン: http://dx.doi.org/10.1007/978-1-4614-1499-5
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36.

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36. An Invitation to Morse Theory
by Liviu Nicolaescu
出版情報: New York, NY : Springer Science+Business Media, LLC, 2011
シリーズ名: Universitext ;
オンライン: http://dx.doi.org/10.1007/978-1-4614-1105-5
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37.

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37. Singularities of Differentiable Maps, Volume 1 : Classification of Critical Points, Caustics and Wave Fronts
by V.I. Arnold, S.M. Gusein-Zade, A.N. Varchenko
出版情報: Boston : Birkhäuser Boston, 2012
シリーズ名: Modern Birkhäuser Classics ;
オンライン: http://dx.doi.org/10.1007/978-0-8176-8340-5
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38.

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38. Singularities of Differentiable Maps, Volume 2 : Monodromy and Asymptotics of Integrals
by V.I. Arnold, S.M. Gusein-Zade, A.N. Varchenko
出版情報: Boston : Birkhäuser Boston, 2012
シリーズ名: Modern Birkhäuser Classics ;
オンライン: http://dx.doi.org/10.1007/978-0-8176-8343-6
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39.

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39. Vector Analysis Versus Vector Calculus
by Antonio Galbis, Manuel Maestre
出版情報: Boston, MA : Springer US, 2012
シリーズ名: Universitext ;
オンライン: http://dx.doi.org/10.1007/978-1-4614-2200-6
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40.

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40. Geometric Optimal Control : Theory, Methods and Examples
by Heinz Schättler, Urszula Ledzewicz
出版情報: New York, NY : Springer New York, 2012
シリーズ名: Interdisciplinary Applied Mathematics ; 38
オンライン: http://dx.doi.org/10.1007/978-1-4614-3834-2
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41.

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41. Metric and Differential Geometry : The Jeff Cheeger Anniversary Volume
edited by Xianzhe Dai, Xiaochun Rong
出版情報: Basel : Springer Basel, 2012
シリーズ名: Progress in Mathematics ; 297
オンライン: http://dx.doi.org/10.1007/978-3-0348-0257-4
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42.

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42. Loop Spaces, Characteristic Classes and Geometric Quantization
by Jean-Luc Brylinski
出版情報: Boston, MA : Birkhäuser Boston, 2008
シリーズ名: Modern Birkhäuser Classics ;
オンライン: http://dx.doi.org/10.1007/978-0-8176-4731-5
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43.

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43. Einstein Manifolds
by Arthur L. Besse
出版情報: Berlin, Heidelberg : Springer Berlin Heidelberg, 2008
シリーズ名: Classics in Mathematics ;
オンライン: http://dx.doi.org/10.1007/978-3-540-74311-8
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44.

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44. Generalized Curvatures
by Jean-Marie Morvan
出版情報: Berlin, Heidelberg : Springer-Verlag Berlin Heidelberg, 2008
シリーズ名: Geometry and Computing ; 2
オンライン: http://dx.doi.org/10.1007/978-3-540-73792-6
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45.

電子ブック
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45. An Introduction to Manifolds
by Loring W. Tu
出版情報: New York, NY : Springer Science+Business Media, LLC, 2008
シリーズ名: Universitext ;
オンライン: http://dx.doi.org/10.1007/978-0-387-48101-2
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46.

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46. Riemannian Geometry and Geometric Analysis
by Jürgen Jost
出版情報: Berlin, Heidelberg : Springer-Verlag Berlin Heidelberg, 2008
シリーズ名: Universitext ;
オンライン: http://dx.doi.org/10.1007/978-3-540-77341-2
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47.

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47. Mixed Hodge Structures
by Chris A.M. Peters, Joseph H.M. Steenbrink
出版情報: Berlin, Heidelberg : Springer-Verlag, 2008
シリーズ名: Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics ; 52
オンライン: http://dx.doi.org/10.1007/978-3-540-77017-6
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48.

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48. Geometry and Dynamics of Groups and Spaces : In Memory of Alexander Reznikov
edited by Mikhail Kapranov, Yuri Ivanovich Manin, Pieter Moree, Sergiy Kolyada, Leonid Potyagailo
出版情報: Basel : Birkhäuser Verlag AG, 2008
シリーズ名: Progress in Mathematics ; 265
オンライン: http://dx.doi.org/10.1007/978-3-7643-8608-5
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49.

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49. The Mathematics of Minkowski Space-Time : With an Introduction to Commutative Hypercomplex Numbers
by Francesco Catoni, Dino Boccaletti, Roberto Cannata, Vincenzo Catoni, Enrico Nichelatti, Paolo Zampetti
出版情報: Basel : Birkhäuser Verlag AG, 2008
シリーズ名: Frontiers in Mathematics ;
オンライン: http://dx.doi.org/10.1007/978-3-7643-8614-6
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50.

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50. Discrete Differential Geometry
edited by Alexander I. Bobenko, John M. Sullivan, Peter Schröder, Günter M. Ziegler
出版情報: Basel : Birkhäuser Verlag AG, 2008
シリーズ名: Oberwolfach Seminars ; 38
オンライン: http://dx.doi.org/10.1007/978-3-7643-8621-4
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51.

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51. Vanishing and Finiteness Results in Geometric Analysis : A Generalization of the Bochner Technique
by Stefano Pigola, Alberto G. Setti, Marco Rigoli
出版情報: Basel : Birkhäuser Verlag AG, 2008
シリーズ名: Progress in Mathematics ; 266
オンライン: http://dx.doi.org/10.1007/978-3-7643-8642-9
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52.

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52. Gradient Flows : in Metric Spaces and in the Space of Probability Measures. Second Edition
by Luigi Ambrosio, Nicola Gigli, Giuseppe Savaré ; edited by Michael Struwe
出版情報: Basel : Birkhäuser Basel, 2008
シリーズ名: Lectures in Mathematics ETH Zürich ;
オンライン: http://dx.doi.org/10.1007/978-3-7643-8722-8
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53.

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53. Fourier¿Mukai and Nahm Transforms in Geometry and Mathematical Physics
by Daniel Hernández Ruipérez, Ugo Bruzzo, Claudio Bartocci
出版情報: Boston : Birkhäuser Boston, 2009
シリーズ名: Progress in Mathematics ; 276
オンライン: http://dx.doi.org/10.1007/b11801
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54.

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54. A History of Algebraic and Differential Topology, 1900 - 1960
by Jean Dieudonné
出版情報: Boston : Birkhäuser Boston, 2009
シリーズ名: Modern Birkhäuser Classics ;
オンライン: http://dx.doi.org/10.1007/978-0-8176-4907-4
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55.

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55. Optimal Transport : Old and New
edited by M. Berger, B. Eckmann, P. Harpe, F. Hirzebruch, N. Hitchin, L. Hörmander, A. Kupiainen, G. Lebeau, M. Ratner, D. Serre, Ya. G. Sinai, N. J. A. Sloane, A. M. Vershik, M. Waldschmidt, Cédric Villani
出版情報: Berlin, Heidelberg : Springer Berlin Heidelberg, 2009
シリーズ名: Grundlehren der mathematischen Wissenschaften ; 338
オンライン: http://dx.doi.org/10.1007/978-3-540-71050-9
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56.

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56. Encyclopedia of Distances
by Elena Deza, Michel Marie Deza
出版情報: Berlin, Heidelberg : Springer-Verlag Berlin Heidelberg, 2009
オンライン: http://dx.doi.org/10.1007/978-3-642-00234-2
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57.

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57. Metric Foliations and Curvature
by Detlef Gromoll, Gerard Walschap ; edited by H. Bass, J. Oesterlé, A. Weinstein
出版情報: Basel : Birkhäuser Basel, 2009
シリーズ名: Progress in Mathematics ; 268
オンライン: http://dx.doi.org/10.1007/978-3-7643-8715-0
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58.

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58. Families of Conformally Covariant Differential Operators, Q-Curvature and Holography
by Andreas Juhl
出版情報: Basel : Birkhäuser Basel, 2009
シリーズ名: Progress in Mathematics ; 275
オンライン: http://dx.doi.org/10.1007/978-3-7643-9900-9
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59.

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59. Collected Papers : Volume I 1955-1966
by Bertram Kostant ; edited by Anthony Joseph, Shrawan Kumar, Michèle Vergne
出版情報: New York, NY : Springer-Verlag New York, 2009
オンライン: http://dx.doi.org/10.1007/b94535
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60.

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60. Inequalities for Differential Forms
by Ravi P. Agarwal, Shusen Ding, Craig Nolder
出版情報: New York, NY : Springer-Verlag New York, 2009
オンライン: http://dx.doi.org/10.1007/978-0-387-68417-8
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61.

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61. Geometry and Physics
by Jürgen Jost
出版情報: Berlin, Heidelberg : Springer-Verlag Berlin Heidelberg, 2009
オンライン: http://dx.doi.org/10.1007/978-3-642-00541-1
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62.

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62. Semiparallel Submanifolds in Space Forms
by Ülo Lumiste
出版情報: New York, NY : Springer-Verlag New York, 2009
オンライン: http://dx.doi.org/10.1007/978-0-387-49913-0
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63.

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63. Quantitative Arithmetic of Projective Varieties
by Timothy D. Browning
出版情報: Basel : Birkhäuser Basel, 2009
シリーズ名: Progress in Mathematics ; 277
オンライン: http://dx.doi.org/10.1007/978-3-0346-0129-0
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64.

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64. Analysis and Algebra on Differentiable Manifolds : A Workbook for Students and Teachers
by P. M. Gadea, J. Muñoz Masqué
出版情報: Dordrecht : Springer Science+Business Media B.V., 2009
オンライン: http://dx.doi.org/10.1007/978-90-481-3564-6
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65.

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65. Homological Algebra of Semimodules and Semicontramodules : Semi-infinite Homological Algebra of Associative Algebraic Structures
by Leonid Positselski
出版情報: Basel : Springer Basel AG, 2010
シリーズ名: Monografie Matematyczne ; 70
オンライン: http://dx.doi.org/10.1007/978-3-0346-0436-9
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66.

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66. The Geometry of Filtering
by K. David Elworthy, Yves Le Jan, Xue-Mei Li
出版情報: Basel : Springer Basel AG, 2010
シリーズ名: Frontiers in Mathematics ;
オンライン: http://dx.doi.org/10.1007/978-3-0346-0176-4
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67.

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67. Conformal Differential Geometry : Q-Curvature and Conformal Holonomy
by Helga Baum, Andreas Juhl
出版情報: Basel : Birkhäuser Basel, 2010
シリーズ名: Oberwolfach Seminars ; 40
オンライン: http://dx.doi.org/10.1007/978-3-7643-9909-2
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68.

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68. Differential Geometry of Lightlike Submanifolds
by Krishan L. Duggal, Bayram Sahin
出版情報: Basel : Birkhäuser Basel, 2010
シリーズ名: Frontiers in Mathematics ;
オンライン: http://dx.doi.org/10.1007/978-3-0346-0251-8
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69. Curves and Surfaces
by Marco Abate, Francesca Tovena
出版情報: Milano : Springer Milan, 2012
シリーズ名: Collana Unitext - La Matematica per il 3+2 ;
オンライン: http://dx.doi.org/10.1007/978-88-470-1941-6
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70. A Geometric Approach to Differential Forms. Second
by David Bachman
出版情報: Boston : Springer Science+Business Media, LLC, 2012
オンライン: http://dx.doi.org/10.1007/978-0-8176-8304-7
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71. Structure and Geometry of Lie Groups
by Joachim Hilgert, Karl-Hermann Neeb
出版情報: New York, NY : Springer Science+Business Media, LLC, 2012
シリーズ名: Springer Monographs in Mathematics ;
オンライン: http://dx.doi.org/10.1007/978-0-387-84794-8
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72. The Pullback Equation for Differential Forms
by Gyula Csató, Bernard Dacorogna, Olivier Kneuss
出版情報: Boston : Springer Science+Business Media, LLC, 2012
シリーズ名: Progress in Nonlinear Differential Equations and Their Applications ; 83
オンライン: http://dx.doi.org/10.1007/978-0-8176-8313-9
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73. Stochastic Models, Information Theory, and Lie Groups, Volume 2 : Analytic Methods and Modern Applications
by Gregory S. Chirikjian
出版情報: Boston : Springer Science+Business Media, LLC, 2012
シリーズ名: Applied and Numerical Harmonic Analysis ;
オンライン: http://dx.doi.org/10.1007/978-0-8176-4944-9
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74. A New Approach to Differential Geometry using Clifford's Geometric Algebra
by John Snygg
出版情報: Boston : Springer Science+Business Media, LLC, 2012
オンライン: http://dx.doi.org/10.1007/978-0-8176-8283-5
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75.

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75. Representation Theory, Complex Analysis, and Integral Geometry
edited by Bernhard Krötz, Omer Offen, Eitan Sayag
出版情報: Boston : Springer Science+Business Media, LLC, 2012
オンライン: http://dx.doi.org/10.1007/978-0-8176-4817-6
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76. Global Differential Geometry
edited by Christian Bär, Joachim Lohkamp, Matthias Schwarz
出版情報: Berlin, Heidelberg : Springer-Verlag Berlin Heidelberg, 2012
シリーズ名: Springer Proceedings in Mathematics ; 17
オンライン: http://dx.doi.org/10.1007/978-3-642-22842-1
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77.

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77. Classical Mechanics with Mathematica®
by Romano Antonio
出版情報: Boston, MA : Birkhäuser Boston : Imprint: Birkhäuser, 2012
シリーズ名: Modeling and Simulation in Science, Engineering and Technology ;
オンライン: http://dx.doi.org/10.1007/978-0-8176-8352-8
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目次情報:
I Introduction to Linear Algebra and Differential Geometry.- 1 Vector Space and Linear Maps.- 2 Tensor Algebra.- 3 Skew-symmetric Tensors and Exterior Algebra.- 4 Euclidean and Symplectic Vector Spaces.- 5 Duality and Euclidean Tensors.- 6 Differentiable Manifolds.- 7 One-Parameter Groups of Diffeomorphisms.- 8 Exterior Derivative and Integration.- 9 Absolute Differential Calculus
10 An Overview of Dynamical Systems.- II Mechanics.- 11 Kinematics of a Point Particle.- 12 Kinematics of Rigid Bodies.- 13 Principles of Dynamics.- 14 Dynamics of a Material Point.- 15 General Principles of Rigid Body Dynamics.- 16 Dynamics of a Rigid Body.- 17 Lagrangian Dynamics.- 18 Hamiltonian Dynamics.- 19 Hamilton-Jacobi Theory.- 20 Completely Integrable Systems.- 21 Elements of Statistical Mechanics of Equilibrium.- 22 Impulsive Dynamics.- 23 Introduction to Fluid Mechanics
A First-Order PDE.- B Fourier’s Series.- References.- Index
I Introduction to Linear Algebra and Differential Geometry.- 1 Vector Space and Linear Maps.- 2 Tensor Algebra.- 3 Skew-symmetric Tensors and Exterior Algebra.- 4 Euclidean and Symplectic Vector Spaces.- 5 Duality and Euclidean Tensors.- 6 Differentiable Manifolds.- 7 One-Parameter Groups of Diffeomorphisms.- 8 Exterior Derivative and Integration.- 9 Absolute Differential Calculus
10 An Overview of Dynamical Systems.- II Mechanics.- 11 Kinematics of a Point Particle.- 12 Kinematics of Rigid Bodies.- 13 Principles of Dynamics.- 14 Dynamics of a Material Point.- 15 General Principles of Rigid Body Dynamics.- 16 Dynamics of a Rigid Body.- 17 Lagrangian Dynamics.- 18 Hamiltonian Dynamics.- 19 Hamilton-Jacobi Theory.- 20 Completely Integrable Systems.- 21 Elements of Statistical Mechanics of Equilibrium.- 22 Impulsive Dynamics.- 23 Introduction to Fluid Mechanics
A First-Order PDE.- B Fourier’s Series.- References.- Index
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78. Introduction to Smooth Manifolds. 2nd ed. 2012
by John M. Lee
出版情報: New York, NY : Springer New York : Imprint: Springer, 2012
シリーズ名: Graduate Texts in Mathematics ; 218
オンライン: http://dx.doi.org/10.1007/978-1-4419-9982-5
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Preface
1 Smooth Manifolds
2 Smooth Maps
3 Tangent Vectors
4 Submersions, Immersions, and Embeddings
5 Submanifolds
6 Sard's Theorem
7 Lie Groups
8 Vector Fields
9 Integral Curves and Flows
10 Vector Bundles
11 The Cotangent Bundle
12 Tensors
13 Riemannian Metrics
14 Differential Forms
15 Orientations
16 Integration on Manifolds.- 17 De Rham Cohomology.- 18 The de Rham Theorem
19 Distributions and Foliations.- 20 The Exponential Map.- 21 Quotient Manifolds.-  22 Symplectic Manifolds
Appendix A: Review of Topology
Appendix B: Review of Linear Algebra
Appendix C: Review of Calculus
Appendix D: Review of Differential Equations
References
Notation Index
Subject Index
Preface
1 Smooth Manifolds
2 Smooth Maps
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79. Homogeneous Finsler Spaces
by Shaoqiang Deng
出版情報: New York, NY : Springer New York : Imprint: Springer, 2012
シリーズ名: Springer Monographs in Mathematics ;
オンライン: http://dx.doi.org/10.1007/978-1-4614-4244-8
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Preface
Acknowledgements
1. Introduction to Finsler Geometry
2. Lie Groups and Homogenous Spaces
3. The Group of Isometries
4. Homogeneous Finsler Spaces
5. Symmetric Finsler Spaces
6. Weakly Symmetric Finsler Spaces
7. Homogeneous Randers Spaces
References
Index.
Preface
Acknowledgements
1. Introduction to Finsler Geometry
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80. Yamabe-type Equations on Complete, Noncompact Manifolds
by Paolo Mastrolia, Marco Rigoli, Alberto G Setti
出版情報: Basel : Springer Basel : Imprint: Birkhäuser, 2012
シリーズ名: Progress in Mathematics ; 302
オンライン: http://dx.doi.org/10.1007/978-3-0348-0376-2
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Introduction
1 Some Riemannian Geometry
2 Pointwise conformal metrics
3 General nonexistence results
4 A priori estimates
5 Uniqueness
6 Existence
7 Some special cases
References
Index
Introduction
1 Some Riemannian Geometry
2 Pointwise conformal metrics
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81. Finsler Geometry : An Approach via Randers Spaces
by Xinyue Cheng, Zhongmin Shen
出版情報: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2012
オンライン: http://dx.doi.org/10.1007/978-3-642-24888-7
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Randers Spaces
Randers Metrics and Geodesics
Randers Metrics of Isotropic S-Curvature
Riemann Curvature and Ricci Curvature
Projective Geometry of Randers Spaces
Randers Metrics with Special Riemann Curvature Properties
Randers Metrics of Weakly Isotropic Flag Curvature.-Projectively Flat Randers Metrics
Conformal Geometry of Randers Metrics
Dually Flat Randers Metrics
Randers Spaces
Randers Metrics and Geodesics
Randers Metrics of Isotropic S-Curvature
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82. Geography of Order and Chaos in Mechanics : Investigations of Quasi-Integrable Systems with Analytical, Numerical, and Graphical Tools
by Bruno Cordani
出版情報: New York, NY : Springer New York : Imprint: Birkhäuser, 2013
シリーズ名: Progress in Mathematical Physics ; 64
オンライン: http://dx.doi.org/10.1007/978-0-8176-8370-2
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Preface
List of Figures
1 Introductory Survey
2 Analytical Mechanics and Integrable Systems
3 Perturbation Theory
4 Numerical Tools I: ODE Integration
5 Numerical Tools II: Detecting Order, Chaos, and Resonances
6 The Kepler Problem
7 The KEPLER Program
8 Some Perturbed Keplerian Systems
9 The Multi-Body Gravitational Problem
Bibliography
Index
Preface
List of Figures
1 Introductory Survey
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83. Recent Trends in Lorentzian Geometry
edited by Miguel Sánchez, MIguel Ortega, Alfonso Romero
出版情報: New York, NY : Springer New York : Imprint: Springer, 2013
シリーズ名: Springer Proceedings in Mathematics & Statistics ; 26
オンライン: http://dx.doi.org/10.1007/978-1-4614-4897-6
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84. The Implicit Function Theorem : History, Theory, and Applications
by Steven G. Krantz, Harold R. Parks
出版情報: New York, NY : Springer New York : Imprint: Birkhäuser, 2013
シリーズ名: Modern Birkhäuser Classics ;
オンライン: http://dx.doi.org/10.1007/978-1-4614-5981-1
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Preface
Introduction to the Implicit Function Theorem
History
Basic Ideas
Applications
Variations and Generalizations
Advanced Implicit Function Theorems
Glossary
Bibliography
Index
Preface
Introduction to the Implicit Function Theorem
History
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85. Arithmetic and Geometry of K3 Surfaces and Calabi–Yau Threefolds
edited by Radu Laza, Matthias Schütt, Noriko Yui
出版情報: New York, NY : Springer New York : Imprint: Springer, 2013
シリーズ名: Fields Institute Communications ; 67
オンライン: http://dx.doi.org/10.1007/978-1-4614-6403-7
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.-Preface.-Introduction
List of Participants
K3 and Enriques Surfaces (S. Kondo)
Transcendental Methods in the Study of Algebraic Cycles with a Special Emphasis on Calabi–Yau Varieties (J.D. Lewis)
Two Lectures on the Arithmetic of K3 Surfaces (M. Schütt)
Modularity of Calabi–Yau Varieties (N. Yui)
Explicit Algebraic Coverings of a Pointed Torus (A. Anema, J. Top)
Elliptic Fibrations on the Modular Surface Associated to Γ1(8)
Universal Kummer Families over Shimura Curves (A. Besser, R. Livné)
Numerical Trivial Automorphisms of Enriques Surfaces in Arbitrary Characteristic (I.V. Dolgachev)
Picard-Fuchs Equations of Special One-Parameter Families of Invertible Polynomials (S. Gährs)
A Structure Theorem for Fibrations on Delsarte Surfaces (B. Heijne, R. Kloosterman)
Fourier–Mukai Partners and Polarised K3 Surfaces (K. Hulek, D. Ploog)
On a Family of K3 Surfaces with S4 Symmetry (D. Karp, J. Lewish, D. Moore, D. Skjorshammer, U. Whitcher)
K1ind of Elliptically Fibered K3 Surfaces (M. Kerr)
A Note About Special Cycles on Moduli Spaces of K3 Surfaces (S. Kudla)
Enriques Surfaces of Hutchinson–Göpel Type and Mathieu Automorphisms (S. Mukai, H. Ohashi)
Quartic K3 Surfaces and Cremona Transformations (K. Oguiso)
Invariants of Regular Models of the Product of Two Elliptical Curves at a Place of Multiplicative Reduction (C. Schoen)
Dynamics of Special Points on Intermediate Jacobians (X. Chen, J.D. Lewis)
Calabi–Yau Conifold Expansions (S. Cynk, D. van Straten)
Quadratic Twists of Rigid Calabi–Yau Threefolds over Q (F.Q. Gouvêa, I. Kimming, N. Yui)
Counting Sheaves on Calabi–Yau and Abelian Threefolds (M.G. Gulbrandsen)
The Serge Cubic and Borcherds Products (S. Kondo)
Quadi-Modular Forms Attached to Hodge Structures (H. Movasati)
The Zero Locus of the Infinitesimal Invariable (G. Pearlstein, Ch. Schnell)
.-Preface.-Introduction
List of Participants
K3 and Enriques Surfaces (S. Kondo)
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86. Developments of Harmonic Maps, Wave Maps and Yang-Mills Fields into Biharmonic Maps, Biwave Maps and Bi-Yang-Mills Fields
by Yuan-Jen Chiang
出版情報: Basel : Springer Basel : Imprint: Birkhäuser, 2013
シリーズ名: Frontiers in Mathematics ;
オンライン: http://dx.doi.org/10.1007/978-3-0348-0534-6
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Preface. 1 Harmonic Maps
2 Wave Maps.-3 Yang-Mills Fields
4 Biharmonic Maps
5 Biwave Maps
6 Bi-Yang-Mills Fields.-7 Exponential Harmonic Maps.-8 Exponential Wave Maps
Index.
Preface. 1 Harmonic Maps
2 Wave Maps.-3 Yang-Mills Fields
4 Biharmonic Maps
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87. Offbeat Integral Geometry on Symmetric Spaces
by Valery V. Volchkov, Vitaly V. Volchkov
出版情報: Basel : Springer Basel : Imprint: Birkhäuser, 2013
オンライン: http://dx.doi.org/10.1007/978-3-0348-0572-8
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Preface
Part 1. Analysis on Symmetric Spaces. 1 Preliminaries
2 The Euclidean case
3 Symmetric spaces of the non-compact type.-4 Analogies for compact two-point homogeneous Spaces
5 The phase space associated to the Heisenberg group.-Part 2. Offbeat Integral Geometry
1 Functions with zero ball means on Euclidean space
2 Two-radii theorems in symmetric spaces
3 The problem of finding a function from its ball means
4 Sets with the Pompeiu property
5 Functions with zero integrals over polytopes.-6 Ellipsoidal means
7 The Pompeiu property on a sphere
8 The Pompeiu transform on symmetric spaces and groups.-9 Pompeiu transforms on manifolds
Bibliography
Index
Basic notation
Preface
Part 1. Analysis on Symmetric Spaces. 1 Preliminaries
2 The Euclidean case
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88. Encyclopedia of Distances. 2nd ed. 2013
by Michel Marie Deza, Elena Deza
出版情報: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2013
オンライン: http://dx.doi.org/10.1007/978-3-642-30958-8
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Part I. Mathematics of Distances
1 General Definitions
2 Topological Spaces
3 Generalization of Metric Spaces
4 Metric Transforms
5 Metrics on Normed Structures
Part II. Geometry and Distances
6 Distances in Geometry
7 Riemannian and Hermitian Metrics
8 Distances on Surfaces and Knots
9 Distances on Convex Bodies, Cones and Simplicial Complexes
Part III. Distances in Classical Mathematics
10 Distances in Algebra
11 Distances on Strings and Permutations
12 Distances on Numbers, Polynominals and Matrices
13 Distances in Functional Analysis
14 Distances in Probability Theory
Part IV. Distances in Applied Mathematics
15 Distances in Graph theory
16 Distances in Coding Theory
17 Distances and Similarities in Data Analysis
18 Distances in Systems and Mathematical Engineering
Part V. Computer-Related Distances
19 Distances on Real and Digital Planes
20 Voronoi Diagram Distances
21 Image and Audio Distances
22 Distances in Networks
Part VI. Distances in Natural Sciences
23 Distances in Biology
24 Distances in Physics and Chemistry
25 Distances in Earth Science and Astronomy
26 Distances in Cosmology and Theory of Relativity
Part VII. Real-World Distances
27 Length Measures and Scales
28 Distances in Applied Social Sciences
29 Other Distances
Part I. Mathematics of Distances
1 General Definitions
2 Topological Spaces
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89. Poisson Structures
by Camille Laurent-Gengoux, Anne Pichereau, Pol Vanhaecke
出版情報: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2013
シリーズ名: Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics ; 347
オンライン: http://dx.doi.org/10.1007/978-3-642-31090-4
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目次情報: 続きを見る
Part I Theoretical Background:1.Poisson Structures: Basic Definitions
2.Poisson Structures: Basic Constructions
3.Multi-Derivations and Kähler Forms
4.Poisson (Co)Homology
5.Reduction
Part II Examples:6.Constant Poisson Structures, Regular and Symplectic Manifolds
7.Linear Poisson Structures and Lie Algebras
8.Higher Degree Poisson Structures
9.Poisson Structures in Dimensions Two and Three
10.R-Brackets and r-Brackets
11.Poisson–Lie Groups
Part III Applications:12.Liouville Integrable Systems
13.Deformation Quantization
A Multilinear Algebra
B Real and Complex Differential Geometry
References
Index
List of Notations.
Part I Theoretical Background:1.Poisson Structures: Basic Definitions
2.Poisson Structures: Basic Constructions
3.Multi-Derivations and Kähler Forms
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90. Clifford Algebras and Lie Theory
by Eckhard Meinrenken
出版情報: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2013
シリーズ名: Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics ; 58
オンライン: http://dx.doi.org/10.1007/978-3-642-36216-3
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Preface
Conventions
List of Symbols
1 Symmetric bilinear forms
2 Clifford algebras
3 The spin representation
4 Covariant and contravariant spinors
5 Enveloping algebras
6 Weil algebras
7 Quantum Weil algebras
8 Applications to reductive Lie algebras
9 D(g; k) as a geometric Dirac operator
10 The Hopf–Koszul–Samelson Theorem
11 The Clifford algebra of a reductive Lie algebra
A Graded and filtered super spaces
B Reductive Lie algebras
C Background on Lie groups
References
Index
Preface
Conventions
List of Symbols
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91. Topological Crystallography : With a View Towards Discrete Geometric Analysis
by Toshikazu Sunada
出版情報: Tokyo : Springer Japan : Imprint: Springer, 2013
シリーズ名: Surveys and Tutorials in the Applied Mathematical Sciences ; 6
オンライン: http://dx.doi.org/10.1007/978-4-431-54177-6
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92. Geometric Properties for Parabolic and Elliptic PDE's
edited by Rolando Magnanini, Shigeru Sakaguchi, Angelo Alvino
出版情報: Milano : Springer Milan : Imprint: Springer, 2013
シリーズ名: Springer INdAM Series ; 2
オンライン: http://dx.doi.org/10.1007/978-88-470-2841-8
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Goro Akagi, Stability and instability of group invariant asymptotic profiles for fast diffusion equations
Elvise Berchio, A family of Hardy-Rellich type inequalities involving the L2-norm of the Hessian matrices
Massimiliano Bianchini and Paolo Salani, Power concavity for solutions of nonlinear elliptic problems in convex domains
Lorenzo Brasco and Rolando Magnanini, The heart of a convex set
Giulio Ciraolo, A viscosity equation for minimizers of a class of very degenerate elliptic functionals
Adele Ferone, Kato's inequality in the half space: an alternative proof and relative improvements
Ilaria Fragalà, Filippo Gazzola and Jimmy Lamboley, Sharp bounds for the p-torsion of convex planar domains
Giovanni Franzina and Enrico Valdinoci, Geometric analysis of fractional phase transition interfaces
Antonio Greco, Existence of solutions to some classical variational problems
Norihisa Ikoma, Existence of minimizers for some coupled nonlinear Schrödinger equations
Kazuhiro Ishige and Yoshitsugu Kabeya, Decay rate of Lq norms of critical Schrödinger heat semigroups
Shuichi Jimbo, Hadamard variation for electromagnetic frequencies
Toru Kan, Global structure of the solution set for a semilinear elliptic problem related to the Liouville equation on an annulus
Anna Mercaldo, A priori estimates and comparison principle for some nonlinear elliptic equations
Takeyuki Nagasawa, Existence and uniqueness of the n-dimensional Helfrich flow
Bernhard Ruf and Federica Sani, Ground states for elliptic equations in R2 with exponential critical growth
Shigeru Sakaguchi, Stationary level surfaces and Liouville-type theorems characterizing hyperplanes
Futoshi Takahashi, Nonexistence of multi-bubble solutions for a higher order mean field on equation on convex domains
Goro Akagi, Stability and instability of group invariant asymptotic profiles for fast diffusion equations
Elvise Berchio, A family of Hardy-Rellich type inequalities involving the L2-norm of the Hessian matrices
Massimiliano Bianchini and Paolo Salani, Power concavity for solutions of nonlinear elliptic problems in convex domains
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93. Analysis and Algebra on Differentiable Manifolds : A Workbook for Students and Teachers. 2nd ed. 2013
by Pedro M. Gadea, Jaime Muñoz Masqué, Ihor V. Mykytyuk
出版情報: Dordrecht : Springer Netherlands : Imprint: Springer, 2013
シリーズ名: Problem Books in Mathematics ;
オンライン: http://dx.doi.org/10.1007/978-94-007-5952-7
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目次情報: 続きを見る
Differentiable manifolds
Tensor Fields and Differential Forms
Integration on Manifolds
Lie Groups
Fibre Bundles
Riemannian Geometry
Some Formulas and Tables
Differentiable manifolds
Tensor Fields and Differential Forms
Integration on Manifolds
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94. First Steps in Differential Geometry : Riemannian, Contact, Symplectic
by Andrew McInerney
出版情報: New York, NY : Springer New York : Imprint: Springer, 2013
シリーズ名: Undergraduate Texts in Mathematics ;
オンライン: http://dx.doi.org/10.1007/978-1-4614-7732-7
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目次情報: 続きを見る
Basic Objects and Notation
Linear Algebra Essentials
Advanced Calculus
Differential Forms and Tensors
Riemannian Geometry
Contact Geometry
Symplectic Geometry
References
Index
Basic Objects and Notation
Linear Algebra Essentials
Advanced Calculus
95.

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95. An Introduction to Compactness Results in Symplectic Field Theory
by Casim Abbas
出版情報: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2014
オンライン: http://dx.doi.org/10.1007/978-3-642-31543-5
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96. Progress in Mathematical Relativity, Gravitation and Cosmology : Proceedings of the Spanish Relativity Meeting ERE2012, University of Minho, Guimarães, Portugal, September 3-7, 2012
edited by Alfonso García-Parrado, Filipe C. Mena, Filipe Moura, Estelita Vaz
出版情報: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2014
シリーズ名: Springer Proceedings in Mathematics & Statistics ; 60
オンライン: http://dx.doi.org/10.1007/978-3-642-40157-2
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目次情報:
Part I Plenary sessions
Part II Parallel sessions
Part III Poster presentations
Part I Plenary sessions
Part II Parallel sessions
Part III Poster presentations
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97. Geometric Control Theory and Sub-Riemannian Geometry
edited by Gianna Stefani, Ugo Boscain, Jean-Paul Gauthier, Andrey Sarychev, Mario Sigalotti
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2014
シリーズ名: Springer INdAM Series ; 5
オンライン: http://dx.doi.org/10.1007/978-3-319-02132-4
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目次情報: 続きを見る
1 A. A. Agrachev - Some open problems
2 D. Barilari, A. Lerario - Geometry of Maslov cycles
3 Y. Baryshnikov, B. Shapiro - How to Run a Centipede: a Topological Perspective
4 B. Bonnard, O. Cots, L. Jassionnesse - Geometric and numerical techniques to compute conjugate and cut loci on Riemannian surfaces
5 J-B. Caillau, C. Royer - On the injectivity and nonfocal domains of the ellipsoid of revolution
6 P. Cannarsa, R. Guglielmi - Null controllability in large time for the parabolic Grushin operator with singular potential
7 Y. Chitour, M. Godoy Molina, P. Kokkonen - The rolling problem: overview and challenges
8 A. A. Davydov, A. S. Platov - Optimal stationary exploitation of size-structured population with intra-specific competition
9 B. Doubrov, I. Zelenko - On geometry of affine control systems with one input
10 B. Franchi, V. Penso, R. Serapioni - Remarks on Lipschitz domains in Carnot groups
11 R. V. Gamkrelidze - Differential-geometric and invariance properties of the equations of Maximum Principle (MP)
12 N. Garofalo - Curvature-dimension inequalities and Li-Yau inequalities in sub-Riemannian spaces
13 R. Ghezzi, F. Jean - Hausdorff measures and dimensions in non equiregular sub-Riemannian manifolds
14 V. Jurdjevic - The Delauney-Dubins Problem
15 M. Karmanova, S. Vodopyanov - On Local Approximation Theorem on Equiregular Carnot–Carathéodory spaces
16 C. Li - On curvature-type invariants for natural mechanical systems on sub-Riemannian structures associated with a principle G-bundle
17 I. Markina, S. Wojtowytsch - On the Alexandrov Topology of sub-Lorentzian Manifolds
18 R. Monti - The regularity problem for sub-Riemannian geodesics
19 L. Poggiolini, G. Stefani - A case study in strong optimality and structural stability of bang–singular extremals
20 A. Shirikyan - Approximate controllability of the viscous Burgers equation on the real line
21 M. Zhitomirskii - Homogeneous affine line fields and affine line fields in Lie algebras
1 A. A. Agrachev - Some open problems
2 D. Barilari, A. Lerario - Geometry of Maslov cycles
3 Y. Baryshnikov, B. Shapiro - How to Run a Centipede: a Topological Perspective
98.

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98. Geometry and its Applications
edited by Vladimir Rovenski, Paweł Walczak
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2014
シリーズ名: Springer Proceedings in Mathematics & Statistics ; 72
オンライン: http://dx.doi.org/10.1007/978-3-319-04675-4
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Part I: Geometry
The Ricci flow on some generalized Wallach spaces (N.A. Abiev, A. Arvanitoyeorgos, Y.G. Nikonorov, P. Siasos)
Gaussian mean curvature flow for submanifolds in space forms (A. Borisenko, V. Rovenski)
Cantor laminations and exceptional minimal sets in codimension one foliations (G. Hector)
Integral formulas in foliations theory (K. Andrzejewski, P. Walczak, V. Rovenski)
On prescribing the mixed scalar curvature of a foliations (V. Rovenski, L. Zelenko)
The partial Ricci flow for foliations (V. Rovenski)
Osculation in general (P. Walczak)
On stability of totally geodesic unit vector fields on three-dimensional Lie groups (A. Yampolsky)
Part II: Applications
Rotational liquid film interacted with ambient gaseous media (I. Gaissinski, Y. Levy, V. Rovenski, V. Sherbaum)
On cycles and other geometric phenomena in phase portraits of some nonlinear dynamical systems (V. Golubyatnikov, Yu. A. Gaidov)
Remez-type inequality for smooth functions (Y. Iomdin)
Part I: Geometry
The Ricci flow on some generalized Wallach spaces (N.A. Abiev, A. Arvanitoyeorgos, Y.G. Nikonorov, P. Siasos)
Gaussian mean curvature flow for submanifolds in space forms (A. Borisenko, V. Rovenski)
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99. Sub-Riemannian Geometry and Optimal Transport
by Ludovic Rifford
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2014
シリーズ名: SpringerBriefs in Mathematics ;
オンライン: http://dx.doi.org/10.1007/978-3-319-04804-8
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1 Sub-Riemannian structures
2 Sub-Riemannian geodesics
3 Introduction to optimal transport
Appendix A Ordinary differential equations
Appendix B Elements of differential calculus
References
1 Sub-Riemannian structures
2 Sub-Riemannian geodesics
3 Introduction to optimal transport
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100. Fractals, Wavelets, and their Applications : Contributions from the International Conference and Workshop on Fractals and Wavelets
edited by Christoph Bandt, Michael Barnsley, Robert Devaney, Kenneth J. Falconer, V. Kannan, Vinod Kumar P.B.
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2014
シリーズ名: Springer Proceedings in Mathematics & Statistics ; 92
オンライン: http://dx.doi.org/10.1007/978-3-319-08105-2
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Part I: Fractal Theory
Introduction to Fractals
Geometry of self similar sets
An introduction to Julia and Fatou set
Crazy topology in complex dynamics
Measure preserving fractal homeomorphisms
The dimension theory of almost self affine sets and measures
Countable alphabet non autonomous self affine sets
On transverse hyperplanes to self similar Jordan arcs
Fractals in product fuzzy metric space
Some properties on Koch curve
Projections of Mandelbrot percolation in higher dimensions
Some examples of finite type fractals in three dimensional space
Fractals in partial metric spaces
Part II: Wavelet Theory
Frames and extension problems I
Frames and extension problems II
Local fractal functions and function spaces
Some historical precedents of the fractal functions
A new class of rational quadratic fractal function with positive shape preservation
Interval wavelets determined by points on the circle
Construction of multi scaling functions using matrix polynomials
A remark on reconstruction of splines from their local weighted average samples
C1rational cubic fractal interpolation surface using functional values
On fractal rational functions
Part III: Applications of Fractals and Wavelets
Innovation on the tortuous path: Fractal Electronics
Permutation entropy analysis of EEG of mild cognitive impairment patients during memory activation task
A multifractal based image analysis for cervical dysplasia classification
Self similar network traffic modeling using fractal point process Markovian approach
Validation of variance based fitting for self similar network traffic
Self similar network traffic modeling using circulant Markov modulated poisson process
Investigation of priority based optical packet switch under self similar variable length input traffic using matrix queuing theory
Computationally efficient wavelet domain solver for fluorescence diffuse optical tomography
Implementation of wavelet based and discrete cosine based algorithms on panchromatic image
Trend, time series and wavelet analysis of river water dynamics
An efficient wavelet based approximation method to film – pore diffusion model arising in chemical engineering
A new wavelet based hybrid method for Fisher type equations
Part I: Fractal Theory
Introduction to Fractals
Geometry of self similar sets