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1.

電子ブック
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1. 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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2.

電子ブック
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2. 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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3.

電子ブック
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3. 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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4.

電子ブック
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4. Partial Differential Equations. 3rd ed. 2013
by Jürgen Jost
出版情報: New York, NY : Springer New York : Imprint: Springer, 2013
シリーズ名: Graduate Texts in Mathematics ; 214
オンライン: http://dx.doi.org/10.1007/978-1-4614-4809-9
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Preface
Introduction: What are Partial Differential Equations?
1 The Laplace equation as the Prototype of an Elliptic Partial Differential Equation of Second Order
2 The Maximum Principle
3 Existence Techniques I: Methods Based on the Maximum Principle
4 Existence Techniques II: Parabolic Methods. The Heat Equation
5 Reaction-Diffusion Equations and Systems
6 Hyperbolic Equations
7 The Heat Equation, Semigroups, and Brownian Motion.- 8 Relationships between Different Partial Differential Equations
9 The Dirichlet Principle. Variational Methods for the Solutions of PDEs (Existence Techniques III)
10 Sobolev Spaces and L^2 Regularity theory
11 Strong solutions
12 The Regularity Theory of Schauder and the Continuity Method (Existence Techniques IV)
13The Moser Iteration Method and the Regularity Theorem of de Giorgi and Nash
Appendix: Banach and Hilbert spaces. The L^p-Spaces
References
Index of Notation
Index
Preface
Introduction: What are Partial Differential Equations?
1 The Laplace equation as the Prototype of an Elliptic Partial Differential Equation of Second Order
5.

電子ブック
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5. Compact Riemann Surfaces : An Introduction to Contemporary Mathematics. Third Edition
by Jürgen Jost
出版情報: Berlin, Heidelberg : Springer-Verlag Berlin Heidelberg, 2006
オンライン: http://dx.doi.org/10.1007/978-3-540-33067-7
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6.

電子ブック
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6. Partial Differential Equations. Second Edition
by Jürgen Jost
出版情報: New York, NY : Springer-Verlag New York, 2007
シリーズ名: Graduate Texts in Mathematics ; 214
オンライン: http://dx.doi.org/10.1007/978-0-387-49319-0
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電子ブック
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7. The Evolution of Chemical Knowledge : A Formal Setting for its Analysis. 1st ed. 2022
by Jürgen Jost, Guillermo Restrepo
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2022
シリーズ名: Wissenschaft und Philosophie – Science and Philosophy – Sciences et Philosophie ;
オンライン: https://doi.org/10.1007/978-3-031-10094-9
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Part I Chemical knowledge as a complex dynamical system. Introduction
Modelling the evolution of chemical knowledge
Evolution of the constitutive systems of chemical knowledge
Interactions between systems, their differences and environments
Part II Data and mathematical and computational formalisms for the analysis of chemical knowledge. Data
Methods
Conclusions and outlook
References
Index
Part I Chemical knowledge as a complex dynamical system. Introduction
Modelling the evolution of chemical knowledge
Evolution of the constitutive systems of chemical knowledge