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1. 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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2. 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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3. 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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4. 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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5. 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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6. 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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7. 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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8.

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8. 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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9. 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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10. 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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11. 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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12. 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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13. 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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目次情報: 続きを見る
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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14. 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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15. 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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目次情報: 続きを見る
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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16. 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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目次情報: 続きを見る
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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17. 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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目次情報: 続きを見る
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
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18. Compact Lie Groups
edited by Mark R. Sepanski
出版情報: New York, NY : Springer Science+Business Media, LLC, 2007
シリーズ名: Graduate Texts in Mathematics ; 235
オンライン: http://dx.doi.org/10.1007/978-0-387-49158-5
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19. Metric Structures for Riemannian and Non-Riemannian Spaces
edited by Mikhail Gromov, Pierre Pansu
出版情報: Boston : Birkhäuser, 2007
シリーズ名: Modern Birkhäuser Classics ;
オンライン: http://dx.doi.org/10.1007/978-0-8176-4583-0
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20. Nonlinear PDE’s and Applications : C.I.M.E. Summer School, Cetraro, Italy 2008, Editors: Luigi Ambrosio, Giuseppe Savaré
by Stefano Bianchini, Eric A. Carlen, Alexander Mielke, Cédric Villani
出版情報: Berlin, Heidelberg : Springer-Verlag Berlin Heidelberg, 2011
シリーズ名: Lecture Notes in Mathematics ; 2028
オンライン: http://dx.doi.org/10.1007/978-3-642-21861-3
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