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電子ブック
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1. Solving Ordinary Differential Equations II : Stiff and Differential-Algebraic Problems
by Ernst Hairer, Gerhard Wanner
出版情報: Berlin, Heidelberg : Springer-Verlag Berlin Heidelberg, 2010
シリーズ名: Springer Series in Computational Mathematics ; 14
オンライン: http://dx.doi.org/10.1007/978-3-642-05221-7
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2.

電子ブック
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2. Spectral Theory and Analysis : Conference on Operator Theory, Analysis and Mathematical Physics (OTAMP) 2008, Bedlewo, Poland
edited by Jan Janas, Pavel Kurasov, Ari Laptev, Sergei Naboko, Günter Stolz
出版情報: Basel : Springer Basel AG, 2011
シリーズ名: Operator Theory: Advances and Applications ; 214
オンライン: http://dx.doi.org/10.1007/978-3-7643-9994-8
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3. 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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4.

電子ブック
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4. Hypernumbers and Extrafunctions : Extending the Classical Calculus
by Mark Burgin
出版情報: New York, NY : Springer New York, 2012
シリーズ名: SpringerBriefs in Mathematics ;
オンライン: http://dx.doi.org/10.1007/978-1-4419-9875-0
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5. 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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6.

電子ブック
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6. Advances in Phase Space Analysis of Partial Differential Equations : In Honor of Ferruccio Colombini's 60th Birthday
edited by Antonio Bove, Daniele Del Santo, M.K. Venkatesha Murthy
出版情報: Boston : Birkhäuser Boston, 2009
シリーズ名: Progress in Nonlinear Differential Equations and Their Applications ; 78
オンライン: http://dx.doi.org/10.1007/978-0-8176-4861-9
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7.

電子ブック
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7. Analysis and Mathematical Physics
edited by Björn Gustafsson, Alexander Vasil’ev
出版情報: Basel : Birkhäuser Basel, 2009
シリーズ名: Trends in Mathematics ;
オンライン: http://dx.doi.org/10.1007/978-3-7643-9906-1
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8.

電子ブック
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8. Teoria Spettrale e Meccanica Quantistica : Operatori in spazi di Hilbert
by Valter Moretti
出版情報: Milano : Springer-Verlag Milan, 2010
シリーズ名: UNITEXT ;
オンライン: http://dx.doi.org/10.1007/978-88-470-1611-8
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9.

電子ブック
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9. Spectral Theory and Quantum Mechanics : With an Introduction to the Algebraic Formulation
by Valter Moretti
出版情報: Milano : Springer Milan : Imprint: Springer, 2013
シリーズ名: UNITEXT ;
オンライン: http://dx.doi.org/10.1007/978-88-470-2835-7
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目次情報: 続きを見る
Introduction and mathematical backgrounds
Normed and Banach spaces, examples and applications
Hilbert spaces and bounded operators
Families of compact operators on Hilbert spaces and fundamental properties
Densely-defined unbounded operators on Hilbert spaces
Phenomenology of quantum systems and Wave Mechanics: an overview
The first 4 axioms of QM: propositions, quantum states and observables
Spectral Theory I: generalities, abstract C -algebras and operators in B(H)
Spectral theory II: unbounded operators on Hilbert spaces
Spectral Theory III: applications
Mathematical formulation of non-relativistic Quantum Mechanics
Introduction to Quantum Symmetries
Selected advanced topics in Quantum Mechanics
Introduction to the Algebraic Formulation of Quantum Theories
Order relations and groups
Elements of differential geometry
Introduction and mathematical backgrounds
Normed and Banach spaces, examples and applications
Hilbert spaces and bounded operators
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電子ブック
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10. Geometric Numerical Integration : Structure-Preserving Algorithms for Ordinary Differential Equations
by Ernst Hairer, Gerhard Wanner, Christian Lubich
出版情報: Berlin, Heidelberg : Springer, 2006
シリーズ名: Springer Series in Computational Mathematics ; 31
オンライン: http://dx.doi.org/10.1007/3-540-30666-8
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