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1. Selected Topics in Convex Geometry
by Maria Moszyńska
出版情報: Boston, MA : Birkhäuser Boston, 2006
オンライン: http://dx.doi.org/10.1007/0-8176-4451-2
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2. Real Analysis and Applications : Theory in Practice
by Kenneth R. Davidson, Allan P. Donsig
出版情報: New York, NY : Springer-Verlag New York, 2010
シリーズ名: Undergraduate Texts in Mathematics ;
オンライン: http://dx.doi.org/10.1007/978-0-387-98098-0
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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. Green's Functions and Infinite Products : Bridging the Divide
by Yuri A. Melnikov
出版情報: Boston : Springer Science+Business Media, LLC, 2011
オンライン: http://dx.doi.org/10.1007/978-0-8176-8280-4
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5. 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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6. 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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7. Variational Analysis and Aerospace Engineering: Mathematical Challenges for Aerospace Design : Contributions from a Workshop held at the School of Mathematics in Erice, Italy
edited by Giuseppe Buttazzo, Aldo Frediani
出版情報: Boston, MA : Springer US, 2012
シリーズ名: Springer Optimization and Its Applications ; 66
オンライン: http://dx.doi.org/10.1007/978-1-4614-2435-2
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8. Calcolo Scientifico : Esercizi e problemi risolti con MATLAB e Octave. 4a edizione
by Alfio Quarteroni, Fausto Saleri
出版情報: Milano : Springer Milan, 2008
シリーズ名: Unitext ;
オンライン: http://dx.doi.org/10.1007/978-88-470-0838-0
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9. Matematica Numerica. 3a edizione
by Alfio Quarteroni, Riccardo Sacco, Fausto Saleri
出版情報: Milano : Springer-Verlag Milan, 2008
シリーズ名: UNITEXT ;
オンライン: http://dx.doi.org/10.1007/978-88-470-0818-2
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10. Set-Valued Analysis
by Hélène Frankowska, Jean-Pierre Aubin
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/10.1007/978-0-8176-4848-0
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11. 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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12. Problems in Real Analysis : Advanced Calculus on the Real Axis
by Titu Andreescu, Vicentiu D. Radulescu, Teodora-Liliana Radulescu
出版情報: New York, NY : Springer-Verlag New York, 2009
オンライン: http://dx.doi.org/10.1007/978-0-387-77379-7
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13. 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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14. Numerical Models for Differential Problems
by Alfio Quarteroni
出版情報: Milano : Springer-Verlag Milan, 2009
シリーズ名: MS&A ; 2
オンライン: http://dx.doi.org/10.1007/978-88-470-1071-0
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15. Calcul Scientifique : Cours, exercices corrigés et illustrations en MATLAB et Octave. Deuxième édition
by Alfio Quarteroni, Paola Gervasio, Fausto Saleri
出版情報: Milano : Springer-Verlag Milan, 2010
オンライン: http://dx.doi.org/10.1007/978-88-470-1676-7
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16. 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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17. Advanced Calculus : A Geometric View
by James J. Callahan
出版情報: New York, NY : Springer Science+Business Media, LLC, 2010
シリーズ名: Undergraduate Texts in Mathematics ;
オンライン: http://dx.doi.org/10.1007/978-1-4419-7332-0
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18. Numerical Analysis. Second Edition
by Walter Gautschi
出版情報: Boston : Springer Science+Business Media, LLC, 2012
オンライン: http://dx.doi.org/10.1007/978-0-8176-8259-0
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19. Foundations of Mathematical Analysis. 1
by S. Ponnusamy
出版情報: Boston : Springer Science+Business Media, LLC, 2012
オンライン: http://dx.doi.org/10.1007/978-0-8176-8292-7
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20. Analytically Tractable Stochastic Stock Price Models
by Archil Gulisashvili
出版情報: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2012
シリーズ名: Springer Finance ;
オンライン: http://dx.doi.org/10.1007/978-3-642-31214-4
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目次情報: 続きを見る
Preface
Aknowledgements
1.Volatility Processes
2.Stock Price Models with Stochastic Volatility
3.Realized Volatility and Mixing Distributions
4.Integral Transforms of Distribution Densities
5.Asymptotic Analysis of Mixing Distributions
6.Asymptotic Analysis of Stock Price Distributions
7.Regularly Varying Functions and Pareto Type Distributions
8.Asymptotic Analysis of Option Pricing Functions
9.Asymptotic Analysis of Implied Volatility
10.More Formulas for Implied Volatility
11.Implied Volatility in Models Without Moment Explosions
Bibliography
Index
Preface
Aknowledgements
1.Volatility Processes
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21. Calcolo Scientifico : Esercizi e problemi risolti con MATLAB e Octave. 5a edizione
by Alfio Quarteroni, Fausto Saleri, Paola Gervasio
出版情報: Milano : Springer Milan : Imprint: Springer, 2012
シリーズ名: UNITEXT ;
オンライン: http://dx.doi.org/10.1007/978-88-470-2745-9
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目次情報: 続きを見る
Quel che non si può non sapere
Equazioni non lineari
Approssimazione di funzioni e di dati
Differenziazione ed integrazione numerica
Sistemi lineari
Autovalori ed autovettori
Ottimizzazione numerica
Equazioni differenziali ordinarie
Metodi numerici per problemi ai limiti
Soluzione degli esercizi proposti
Quel che non si può non sapere
Equazioni non lineari
Approssimazione di funzioni e di dati
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22. A Tale of Two Fractals
by A.A. Kirillov
出版情報: New York, NY : Springer New York : Imprint: Birkhäuser, 2013
オンライン: http://dx.doi.org/10.1007/978-0-8176-8382-5
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Introduction
Part 1. The Sierpiński Gasket
Definition and General Properties
The Laplace Operator on the Sierpiński Gasket.- Harmonic Functions on the Sierpiński Gasket
Part 2. The Apollonian Gasket
Circles and Disks on Spheres
Definition of the Apollonian Gasket
Arithmetic Properties of Apollonian Gaskets
Geometric and Group-Theoretic Approach
Many-Dimensional Apollonian Gaskets
Bibliography
Introduction
Part 1. The Sierpiński Gasket
Definition and General Properties
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23. Calculus Without Derivatives
by Jean-Paul Penot
出版情報: New York, NY : Springer New York : Imprint: Springer, 2013
シリーズ名: Graduate Texts in Mathematics ; 266
オンライン: http://dx.doi.org/10.1007/978-1-4614-4538-8
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Preface
1 Metric and Topological Tools
2 Elements of Differential Calculus
3 Elements of Convex Analysis
4 Elementary and Viscosity Subdifferentials
5 Circa-Subdifferentials, Clarke Subdifferentials
6 Limiting Subdifferentials
7 Graded Subdifferentials, Ioffe Subdifferentials
References
Index
Preface
1 Metric and Topological Tools
2 Elements of Differential Calculus
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24. Studies in Phase Space Analysis with Applications to PDEs
edited by Massimo Cicognani, Ferruccio Colombini, Daniele Del Santo
出版情報: New York, NY : Springer New York : Imprint: Birkhäuser, 2013
シリーズ名: Progress in Nonlinear Differential Equations and Their Applications ; 84
オンライン: http://dx.doi.org/10.1007/978-1-4614-6348-1
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Preface
The water-waves equations: from Zakharov to Euler
On the characterization of pseudodifferential operators (old and new)
Improved multipolar Hardy inequalities
The role of spectral anisotropy in the resolution of the three-dimensional Navier-Stokes equations
Schrödinger equations in modulation spaces
New maximal regularity results for the heat equation in exterior domains, and applications
Cauchy problem for some 22 hyperbolic systems of pseudo-differential equations with nondiagonalisable principal part
Scattering problem for quadratic nonlinear Klein-Gordon equation in 2d
Global solutions to the 3-D incompressible inhomogeneous Navier-Stokes system with rough density
The Cauchy problem for the Euler-Poisson system and derivation of the Zakharov-Kuznetsov equation
L1 estimates for oscillating integrals related to structural damped wave models
On the Cauchy problem for noneffectively hyperbolic operators, a transition case
References
Preface
The water-waves equations: from Zakharov to Euler
On the characterization of pseudodifferential operators (old and new)
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25. Bases, outils et principes pour l'analyse variationnelle
by Jean-Baptiste Hiriart-Urruty
出版情報: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2013
シリーズ名: Mathématiques et Applications ; 70
オンライン: http://dx.doi.org/10.1007/978-3-642-30735-5
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26. 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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27. Analysis and Probability Wavelets, Signals, Fractals
by Palle E.T. Jorgensen
出版情報: New York, NY : Springer Science+Business Media, LLC, 2006
シリーズ名: Graduate Texts in Mathematics ; 234
オンライン: http://dx.doi.org/10.1007/978-0-387-33082-2
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28. Modern Methods in the Calculus of Variations: Lp Spaces
by Irene Fonseca, Giovanni Leoni
出版情報: New York, NY : Springer Science+Business Media, LLC, 2007
シリーズ名: Springer Monographs in Mathematics ;
オンライン: http://dx.doi.org/10.1007/978-0-387-69006-3
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29. Mathematical Analysis : Linear and Metric Structures and Continuity
by Mariano Giaquinta, Giuseppe Modica
出版情報: Boston, MA : Birkhäuser Boston, 2007
オンライン: http://dx.doi.org/10.1007/978-0-8176-4514-4
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30. Cálculo Científico : Com MATLAB e Octave
by Alfio Quarteroni, Fausto Saleri
出版情報: Milano : Springer-Verlag Italia, Milano, 2007
オンライン: http://dx.doi.org/10.1007/978-88-470-0718-5
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31. Number Theory : An Introduction via the Distribution of Primes
by Benjamin Fine, Gerhard Rosenberger
出版情報: Boston, MA : Birkhäuser Boston, 2007
オンライン: http://dx.doi.org/10.1007/978-0-8176-4541-0
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32. Blow-up Theories for Semilinear Parabolic Equations
by Bei Hu
出版情報: Berlin, Heidelberg : Springer-Verlag Berlin Heidelberg, 2011
シリーズ名: Lecture Notes in Mathematics ; 2018
オンライン: http://dx.doi.org/10.1007/978-3-642-18460-4
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33. Local Minimization, Variational Evolution and Γ-Convergence
by Andrea Braides
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2014
シリーズ名: Lecture Notes in Mathematics ; 2094
オンライン: http://dx.doi.org/10.1007/978-3-319-01982-6
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目次情報: 続きを見る
Introduction
Global minimization
Parameterized motion driven by global minimization
Local minimization as a selection criterion
Convergence of local minimizers
Small-scale stability
Minimizing movements
Minimizing movements along a sequence of functionals
Geometric minimizing movements
Different time scales
Stability theorems
Index
Introduction
Global minimization
Parameterized motion driven by global minimization
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34. Von Karman Evolution Equations : Well-posedness and Long Time Dynamics
by Igor Chueshov, Irena Lasiecka
出版情報: New York, NY : Springer Science+Business Media, 2010
シリーズ名: Springer Monographs in Mathematics ;
オンライン: http://dx.doi.org/10.1007/978-0-387-87712-9
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35. Modellistica numerica per problemi differenziali. 4a edizione
by Alfio Quarteroni
出版情報: Milano : Springer Milan, 2008
シリーズ名: UNITEXT ;
オンライン: http://dx.doi.org/10.1007/978-88-470-0842-7
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36. Emerging Problems in the Homogenization of Partial Differential Equations. 1st ed. 2021
edited by Patrizia Donato, Manuel Luna-Laynez
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2021
シリーズ名: ICIAM 2019 SEMA SIMAI Springer Series ; 10
オンライン: https://doi.org/10.1007/978-3-030-62030-1
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目次情報: 続きを見る
Nika, G. and Vernescu, B., Micro-geometry effects on the nonlinear effective yield strength response of magnetorheological fluids
Jerez-Hanckes, C. et al., Multiscale analysis of myelinated axons
Pérez-Martínez, M., Homogenization for alternating boundary conditions with large reaction terms concentrated in small regions
G. Fulgencio, R. and Guibé, O., Quasilinear Elliptic Problems in a Two-Component Domain with L^1 data
Donato, P. et al., Homogenization of an eigenvalue problem in a two-component domain with interfacial jump
Nika, G. and Vernescu, B., Micro-geometry effects on the nonlinear effective yield strength response of magnetorheological fluids
Jerez-Hanckes, C. et al., Multiscale analysis of myelinated axons
Pérez-Martínez, M., Homogenization for alternating boundary conditions with large reaction terms concentrated in small regions