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by Sudhir R. Ghorpade, Balmohan V. Limaye
出版情報: New York, NY : Springer Science+Business Media, LLC, 2006
シリーズ名: Undergraduate Texts in Mathematics ;
オンライン: http://dx.doi.org/10.1007/0-387-36425-0
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by Constantin P. Niculescu, Lars-Erik Persson
出版情報: New York, NY : Springer Science+Business Media, Inc., 2006
シリーズ名: Canadian Mathematical Society ;
オンライン: http://dx.doi.org/10.1007/0-387-31077-0
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by Sha Huang, Yu Ying Qiao, Guo Chun Wen
出版情報: Boston, MA : Springer Science+Business Media, Inc., 2006
シリーズ名: Advances in Complex Analysis and Its Applications ; 5
オンライン: http://dx.doi.org/10.1007/b105856
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by Douglas S. Bridges, Luminiţa Simona Vîţă
出版情報: New York, NY : Springer Science+Business Media, LLC, 2006
シリーズ名: Universitext ;
オンライン: http://dx.doi.org/10.1007/978-0-387-38147-3
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5.

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by M. M. Rao, R. J. Swift
出版情報: Boston, MA : Springer Science+Business Media, Inc., 2006
シリーズ名: Mathematics and Its Applications ; 582
オンライン: http://dx.doi.org/10.1007/0-387-27731-5
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6.

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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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7.

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by Roelof W. Bruggeman
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/10.1007/978-3-0346-0336-2
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8.

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by Satish Shirali, Harkrishan Lal Vasudeva
出版情報: London : Springer-Verlag London Limited, 2011
オンライン: http://dx.doi.org/10.1007/978-0-85729-192-9
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9.

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by R. M. Dudley, R. Norvaiša
出版情報: New York, NY : Springer Science+Business Media, LLC, 2011
シリーズ名: Springer Monographs in Mathematics ;
オンライン: http://dx.doi.org/10.1007/978-1-4419-6950-7
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by Jianhua Zheng
出版情報: Berlin, Heidelberg : Springer-Verlag Berlin Heidelberg, 2011
オンライン: http://dx.doi.org/10.1007/978-3-642-12909-4
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11.

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by Ethan D. Bloch
出版情報: New York, NY : Springer Science+Businees Media, LLC, 2011
オンライン: http://dx.doi.org/10.1007/978-0-387-72177-4
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12.

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by George A. Anastassiou
出版情報: New York, NY : Springer Science+Business Media, LLC, 2011
シリーズ名: SpringerBriefs in Mathematics ; 2
オンライン: http://dx.doi.org/10.1007/978-1-4614-0201-5
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13.

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by George A. Anastassiou
出版情報: New York, NY : George A. Anastassiou, 2011
シリーズ名: SpringerBriefs in Mathematics ;
オンライン: http://dx.doi.org/10.1007/978-1-4614-0703-4
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14.

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by Daniel W. Stroock
出版情報: New York, NY : Springer Science+Business Media, LLC, 2011
シリーズ名: Graduate Texts in Mathematics ; 262
オンライン: http://dx.doi.org/10.1007/978-1-4614-1135-2
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15.

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by Franc Forstnerič
出版情報: Berlin, Heidelberg : Springer-Verlag Berlin Heidelberg, 2011
シリーズ名: Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics ; 56
オンライン: http://dx.doi.org/10.1007/978-3-642-22250-4
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16.

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by Sorin G. Gal
出版情報: Boston, MA : Birkhäuser Boston, 2008
オンライン: http://dx.doi.org/10.1007/978-0-8176-4703-2
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17.

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by Keit Oldham, Jan Myland, Jerome Spanier
出版情報: New York, NY : Springer Science+Business Media, LLC, 2009
オンライン: http://dx.doi.org/10.1007/978-0-387-48807-3
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18.

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by Vladimir I. Arnold ; edited by Alexander B. Givental, Boris A. Khesin, Jerrold E. Marsden, Alexander N. Varchenko, Victor A. Vassiliev, Oleg Ya. Viro, Vladimir M. Zakalyukin
出版情報: Berlin, Heidelberg : Springer-Verlag Berlin Heidelberg, 2009
シリーズ名: Vladimir I. Arnold - Collected Works ; 1
オンライン: http://dx.doi.org/10.1007/978-3-642-01742-1
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19.

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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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20.

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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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21.

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edited by Sergei V. Rogosin, Anna A. Koroleva
出版情報: Basel : Springer Basel : Imprint: Birkhäuser, 2012
シリーズ名: Trends in Mathematics ;
オンライン: http://dx.doi.org/10.1007/978-3-0348-0417-2
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目次情報: 続きを見る
Introduction
Kisil, Vladimir V.: Erlangen Program at Large: Brief Outline
Laurincikas, A.: The Riemann zeta-function: approximation of analytic functions
Luchko, Yury: Anomalous diffusion: models, their analysis, and interpretation
Mityushev, Vladimir, V.: R-linear and Riemann-Hilbert problems for multiply connected domains
Plaksa, S. A.: Commutative algebras associated with classic equations of mathematical physics
Rogosin, Sergei V.: 2D Free Boundary Value Problems
Introduction
Kisil, Vladimir V.: Erlangen Program at Large: Brief Outline
Laurincikas, A.: The Riemann zeta-function: approximation of analytic functions
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by Boris Makarov, Anatolii Podkorytov
出版情報: London : Springer London : Imprint: Springer, 2013
シリーズ名: Universitext ;
オンライン: http://dx.doi.org/10.1007/978-1-4471-5122-7
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Measure
The Lebesgue Model
Measurable Functions
The Integral
The Product Measure
Change of Variables in an Integral
Integrals Dependent on a Parameter
Surface Integrals
Approximation and Convolution of the Space
Fourier Series and the Fourier Transform
Charges. The Radon-Nikodym Theory
Integral Representation of Linear Functionals
Appendices
Measure
The Lebesgue Model
Measurable Functions
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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
24.

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by Kenneth A. Ross
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/10.1007/978-1-4614-6271-2
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Preface
1 Introduction
2 Sequences
3 Continuity
4 Sequences and Series of Functions
5 Differentiation
6 Integration
7 Capstone
Appendix on Set Notation
Selected Hints and Answers
References
Index
Preface
1 Introduction
2 Sequences
25.

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edited by Monika Ludwig, Vitali D. Milman, Vladimir Pestov, Nicole Tomczak-Jaegermann
出版情報: New York, NY : Springer New York : Imprint: Springer, 2013
シリーズ名: Fields Institute Communications ; 68
オンライン: http://dx.doi.org/10.1007/978-1-4614-6406-8
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Preface
The Variance Conjecture on Some Polytopes (D. Alonso Gutirrez, J. Bastero)
More Universal Minimal Flows of Groups of Automorphisms of Uncountable Structures (D. Bartosova)
On the Lyapounov Exponents of Schrodinger Operators Associated with the Standard Map (J. Bourgain)
Overgroups of the Automorphism Group of the Rado Graph (P. Cameron, C. Laflamme, M. Pouzet, S. Tarzi, R. Woodrow)
On a Stability Property of the Generalized Spherical Radon Transform (D. Faifman)
Banach Representations and Affine Compactification of Dynamical Systems (E. Glasner, M. Megrelishvili)
Flag Measures for Convex Bodies (D. Hug, I. Turk, W. Weil)
Operator Functional Equations in Analysis (H. Konig, V. Milmann)
A Remark on the External Non-Central Sections of the Unit Cube (J. Moody, C. Stone, D. Zach, A. Zvavitch)
Universal Flows of Closed Subgroups of S∞ and Relative Extreme Amenability (L. Nguyen Van The)
Oscillation of Urysohn Type Spaces (N.W. Sauer)
Euclidean Sections of Convex Bodies (G. Schechtman)
Duality on Convex Sets in Generalized Regions (A. Segal, B.A. Slomka)
On Polygons and Injective Mappings of the Plane (B.A. Slomka)
Abstract Approach to Ramsey Theory and Ramsey Theorems for Finite Trees (S. Solecki)
Some Affine Invariants Revisited (A. Stancu)
On the Geometry of Log-Concave Probability Measures with Bounded Log-Sobolev Constant (P. Stavrakakis, P. Valettas)
f-Divergence for Convex Bodies (E.M. Werner)
Preface
The Variance Conjecture on Some Polytopes (D. Alonso Gutirrez, J. Bastero)
More Universal Minimal Flows of Groups of Automorphisms of Uncountable Structures (D. Bartosova)
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by Sergei Ovchinnikov
出版情報: New York, NY : Springer New York : Imprint: Springer, 2013
シリーズ名: Universitext ;
オンライン: http://dx.doi.org/10.1007/978-1-4614-7196-7
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1 Preliminaries
2 Lebesgue Measure
3  Lebesgue Integration
4 Differentiation and Integration
A Measure and Integral over Unbounded Sets
Index
1 Preliminaries
2 Lebesgue Measure
3  Lebesgue Integration
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by Sergey Kislyakov, Natan Kruglyak
出版情報: Basel : Springer Basel : Imprint: Birkhäuser, 2013
シリーズ名: Monografie Matematyczne ; 74
オンライン: http://dx.doi.org/10.1007/978-3-0348-0469-1
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Preface
Introduction
Definitions, notation, and some standard facts
Part 1. Background
Chapter 1. Classical Calderón–Zygmund decomposition and real interpolation
Chapter 2. Singular integrals
Chapter 3. Classical covering theorems
Chapter 4. Spaces of smooth functions and operators on them
Chapter 5. Some topics in interpolation
Chapter 6. Regularization for Banach spaces
Chapter 7. Stability for analytic Hardy spaces
Part 2. Advanced theory
Chapter 8. Controlled coverings
Chapter 9. Construction of near-minimizers
Chapter 10. Stability of near-minimizers
Chapter 11. The omitted case of a limit exponent
Chapter A. Appendix. Near-minimizers for Brudnyi and Triebel–Lizorkin spaces
Notes and remarks
Bibliography
Index
Preface
Introduction
Definitions, notation, and some standard facts
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by Igor Kriz, Aleš Pultr
出版情報: Basel : Springer Basel : Imprint: Birkhäuser, 2013
オンライン: http://dx.doi.org/10.1007/978-3-0348-0636-7
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Preface
Introduction
Part 1. A Rigorous Approach to Advanced Calculus
1. Preliminaries
2. Metric and Topological Spaces I
3. Multivariable Differential Calculus
4. Integration I: Multivariable Riemann Integral and Basic Ideas toward the Lebesgue Integral
5. Integration II: Measurable Functions, Measure and the Techniques of Lebesgue Integration
6. Systems of Ordinary Differential Equations
7. System of Linear Differential Equations
8. Line Integrals and Green's Theorem
Part 2. Analysis and Geometry
9. An Introduction to Complex Analysis
10. Metric and Topological Spaces II
11. Multilinear Algebra
12. Smooth Manifolds, Differential Forms and Stokes' Theorem
13. Calculus of Variations and the Geodesic Equation
14. Tensor Calculus and Riemannian Geometry
15. Hilbert Spaces I: Definitions and Basic Properties
16. Hilbert Spaces II: Examples and Applications
Appendix A. Linear Algebra I: Vector Spaces
Appendix B. Linear Algebra II: More about Matrices
Bibliography
Index of Symbols
Index.
Preface
Introduction
Part 1. A Rigorous Approach to Advanced Calculus
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edited by Michael Ruzhansky, Ville Turunen
出版情報: Cham : Springer International Publishing : Imprint: Birkhäuser, 2014
シリーズ名: Trends in Mathematics ;
オンライン: http://dx.doi.org/10.1007/978-3-319-02550-6
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目次情報:
Preface
Contributions by N. Bez, M. Sugimoto, Tang Bao Ngoc Bui, M. Reissig, F. Colombini, D. Del Santo, F. Fanelli, G. Metivier, E. Cordero, F. Nicola, L. Rodino, S. Coriasco, K. Johansson, J. Toft, V. Fischer, M. Ruzhansky, G. Garello, A. Morando, D. Grieser, E. Hunsicker, N. Habal, W. Rungrottheera, B
W. Schulze, C. Iwasaki, B. Kanguzhin, N. Tokmagambetov, S. Katayama, H. Kubo, M. Lassas, T. Zhou, T. Matsuyama, T. Nishitani, S. Serovajsky, K. Shakenov, S. Tikhonov, M. Zeltser, Y. Wakasugi, K. Yagdjian.
Preface
Contributions by N. Bez, M. Sugimoto, Tang Bao Ngoc Bui, M. Reissig, F. Colombini, D. Del Santo, F. Fanelli, G. Metivier, E. Cordero, F. Nicola, L. Rodino, S. Coriasco, K. Johansson, J. Toft, V. Fischer, M. Ruzhansky, G. Garello, A. Morando, D. Grieser, E. Hunsicker, N. Habal, W. Rungrottheera, B
W. Schulze, C. Iwasaki, B. Kanguzhin, N. Tokmagambetov, S. Katayama, H. Kubo, M. Lassas, T. Zhou, T. Matsuyama, T. Nishitani, S. Serovajsky, K. Shakenov, S. Tikhonov, M. Zeltser, Y. Wakasugi, K. Yagdjian.
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by Fabio Botelho
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2014
オンライン: http://dx.doi.org/10.1007/978-3-319-06074-3
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1. Topological Vector Spaces
2. The Hahn-Bananch Theorems and Weak Topologies
3. Topics on Linear Operators
4. Basic Results on Measure and Integration
5. The Lebesgue Measure in Rn
6. Other Topics in Measure and Integration
7. Distributions
8. The Lebesque and Sobolev Spaces
9. Basic Concepts on the Calculus of Variations
10. Basic Concepts on Convex Analysis
11. Constrained Variational Analysis
12. Duality Applied to Elasticity
13. Duality Applied to a Plate Model
14. About Ginzburg-Landau Type Equations: The Simpler Real Case
15. Full Complex Ginzburg-Landau System
16. More on Duality and Computation in the Ginzburg-Landau System
17. On Duality Principles for Scalar and Vectorial Multi-Well Variational Problems
18. More on Duality Principles for Multi-Well Problems
19. Duality and Computation for Quantum Mechanics Models
20. Duality Applied to the Optimal Design in Elasticity
21. Duality Applied to Micro-magnetism
22. The Generalized Method of Lines Applied to Fluid Mechanics
23. Duality Applied to the Optimal Control and Optimal Design of a Beam Model
1. Topological Vector Spaces
2. The Hahn-Bananch Theorems and Weak Topologies
3. Topics on Linear Operators
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edited by Themistocles M. Rassias, László Tóth
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2014
シリーズ名: Springer Optimization and Its Applications ; 94
オンライン: http://dx.doi.org/10.1007/978-3-319-06554-0
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Simple Proofs of Some Bernstein–Mordell Type Inequalities (V. Adiyasuren, Tserendorj Batbold)
Hilbert-Type Inequalities Including Some Operators, The Best Possible Constants and Applications: A survey (V. Adiyasuren, Tserendorj Batbold, M. Krnić)
On the Mazur–Ulam Theorem (M. Aghajani)
A Fixed Point Approach to Stability of the Quadratic Equation (M. Almahalebi, A. Charifi, S. Kabbaj, E. Elqorachi)
Aspects of Global Analysis of Circle-Valued Mappings (D. Andrica, D. Mangra, C. Pintea)
A Remark on Some Simultaneous Functional Inequalities in Riesz Spaces (B. Batko, J. Brzdęk)
Elliptic Problems on the Sierpinski Gasket (B.E. Breckner, C. Varga)
Initial Value Problems in Linear Integral Operator Equations (L.P. Castro, M.M. Rodrigues, S. Saitoh)
Extension Operators that Preserve Geometric and Analytic Properties of Biholomorphic Mappings (T. Chirilă)
Normal Cones and Thompson Metric (Ş. Cobzaş, M.-D. Rus)
Functional Operators and Approximate Solutions of Functional Equations (S. Czerwik, K. Król)
Markov-Type Inequalities with Applications in Multivariate Approximation Theory (N.J. Daras)
The Number of Prime Factors Function on Shifted Primes and Normal Numbers (J.-M. De Koninck, I. Kátai)
Imbedding Inequalities for Composition of Green's and Potential Operators (S. Ding, Y. Xing)
On Approximation Properties of q-King Operators (Z. Finta)
Certain Szász-Mirakyan-Beta Operators (N.K. Govil, V. Gupta, D. Soybaş)
Extremal Problems and g-Loewner Chains in Cn and Reflexive Complex Banach Spaces (I. Graham, H. Hamada, G. Kohr)
Different Durrmeyer Variants of Baskakov Operators (V. Gupta)
Hypergeometric Representation of Certain Summation-Integral Operators (V. Gupta, T.M. Rassias)
On a Hybrid Fourth Moment Involving the Riemann Zeta-Function (A. Ivić, W. Zhai)
On the Invertibility of Some Elliptic Operators on Manifolds with Boundary and Cylindrical Ends (M. Kohr, C. Pintea)
Meaned Spaces and a General Duality Principle (J. Kolumbán, J.J. Kolumbán)
An AQCQ-Functional Equation in Matrix Random Normed Spaces (J.R. Lee, C. Park, T.M. Rassias)
A Planar Location-Allocation Problem with Waiting Time Costs (L. Mallozzi, E. D'Amato, E. Daniele)
The Stability of an Affine Type Functional Equation with the Fixed Point Alternative (M. Mursaleen, K.J. Ansari)
On Some Integral Operators (K.I. Noor)
Integer Points in Large Bodies (W.G. Nowak)
On the Orderability Problem and the Interval Topology (K. Papadopoulos)
A Class of Functional-Integral Equations with Applications to a Bilocal Problem (A. Petrusel, I.A. Rus)
Hyperbolic Wavelets (F. Schipp)
One Hundred Years Uniform Distribution Modulo One and Recent Applications to Riemann's Zeta-Function (J. Steuding)
On the Energy of Graphs (I. Triantafillou)
Implicit Contractive Maps in Ordered Metric Spaces (M. Turinici)
Higher Dimensional Continuous Wavelet Transform in Wiener Amalgam (F. Weisz)
Multidimensional Hilbert-Type Integral Inequalities and Their Operators (B. Yang)
Simple Proofs of Some Bernstein–Mordell Type Inequalities (V. Adiyasuren, Tserendorj Batbold)
Hilbert-Type Inequalities Including Some Operators, The Best Possible Constants and Applications: A survey (V. Adiyasuren, Tserendorj Batbold, M. Krnić)
On the Mazur–Ulam Theorem (M. Aghajani)
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edited by Luigi Ambrosio
出版情報: Pisa : Scuola Normale Superiore : Imprint: Edizioni della Normale, 2014
シリーズ名: Publications of the Scuola Normale Superiore ; 17
オンライン: http://dx.doi.org/10.1007/978-88-7642-523-3
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Vladimir I. Bogachev: Sobolev classes on infinite-dimensional spaces
Roberto Monti: Isoperimetric problem and minimal surfaces in the Heisenberg group
Emanuele Spadaro: Regularity of higher codimension area minimizing integral currents
Davide Vittone: The regularity problem for sub-Riemannian geodesics
Vladimir I. Bogachev: Sobolev classes on infinite-dimensional spaces
Roberto Monti: Isoperimetric problem and minimal surfaces in the Heisenberg group
Emanuele Spadaro: Regularity of higher codimension area minimizing integral currents
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by Charles H.C. Little, Kee L. Teo, Bruce van Brunt
出版情報: New York, NY : Springer New York : Imprint: Springer, 2015
シリーズ名: Undergraduate Texts in Mathematics ;
オンライン: http://dx.doi.org/10.1007/978-1-4939-2651-0
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Preface
1. Introduction
2. Sequences
3. Series
4. Limits of Functions
5. Continuity
6. Differentiability
7. The Riemann Integral
8. Taylor Polynomials and Taylor Series
9. The Fixed Point Problem
10. Sequences of Functions
Bibliography
Index
Preface
1. Introduction
2. Sequences
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by Roger Godement
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2015
シリーズ名: Universitext ;
オンライン: http://dx.doi.org/10.1007/978-3-319-16907-1
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by Jeremy Gray
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2015
シリーズ名: Springer Undergraduate Mathematics Series ;
オンライン: http://dx.doi.org/10.1007/978-3-319-23715-2
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Lagrange and foundations for the calculus
Joseph Fourier
Legendre
Cauchy and continuity
Cauchy: differentiation and integration
Cauchy and complex functions to 1830
Abel
Jacobi
Gauss
Cauchy and complex function theory, 1830-1857
Complex functions and elliptic integrals
Revision
Gauss, Green, and potential theory
Dirichlet, potential theory, and Fourier series
Riemann
Riemann and complex function theory
Riemann's later complex function theory
Responses to Riemann's work
Weierstrass
Weierstrass's foundational results
Revision { and assessment
Uniform Convergence
Integration and trigonometric series
The fundamental theorem of the calculus
The construction of the real numbers
Implicit functions
Towards Lebesgue's theory of integration
Cantor, set theory, and foundations
Topology
Assessment
Lagrange and foundations for the calculus
Joseph Fourier
Legendre
36.

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edited by David Bachman
出版情報: Boston : Birkhäuser, 2006
オンライン: http://dx.doi.org/10.1007/978-0-8176-4520-5
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by Keith E. Hirst
出版情報: London : Springer-Verlag London Limited, 2006
シリーズ名: Springer Undergraduate Mathematics Series ;
オンライン: http://dx.doi.org/10.1007/1-84628-222-5
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edited by Andrea Braides, Valeria Chiadò Piat
出版情報: Berlin, Heidelberg : Springer-Verlag Berlin Heidelberg, 2006
シリーズ名: Lecture Notes of the Unione Matematica Italiana ; 2
オンライン: http://dx.doi.org/10.1007/978-3-540-36546-4
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by N. Bourbaki
出版情報: Berlin, Heidelberg : Springer-Verlag, 2007
オンライン: http://dx.doi.org/10.1007/978-3-540-34038-6
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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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41.

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edited by Lars Hörmander
出版情報: Boston : Birkhäuser, 2007
シリーズ名: Modern Birkhäuser Classics ;
オンライン: http://dx.doi.org/10.1007/978-0-8176-4585-4
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by E. Hairer, G. Wanner
出版情報: New York, NY : Springer New York, 2008
シリーズ名: Undergraduate Texts in Mathematics ;
オンライン: http://dx.doi.org/10.1007/978-0-387-77036-9
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by Giovanni Ferraro
出版情報: New York, NY : Springer Science+Business Media, LLC, 2008
シリーズ名: Sources and Studies in the History of Mathematics and Physical Sciences ;
オンライン: http://dx.doi.org/10.1007/978-0-387-73468-2
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edited by Gerald Edgar
出版情報: New York, NY : Springer Science+Business Media, LLC, 2008
シリーズ名: Undergraduate Texts in Mathematics ;
オンライン: http://dx.doi.org/10.1007/978-0-387-74749-1
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by James A. Green, Manfred Schocker, Karin Erdmann
出版情報: Berlin, Heidelberg : Springer-Verlag Berlin Heidelberg, 2007
シリーズ名: Lecture Notes in Mathematics ; 830
オンライン: http://dx.doi.org/10.1007/3-540-46944-3
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by Árpád Baricz
出版情報: Berlin, Heidelberg : Springer-Verlag Berlin Heidelberg, 2010
シリーズ名: Lecture Notes in Mathematics ; 1994
オンライン: http://dx.doi.org/10.1007/978-3-642-12230-9
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by Saradha Natarajan, Ravindranathan Thangadurai
出版情報: Singapore : Springer Singapore : Imprint: Springer, 2020
オンライン: https://doi.org/10.1007/978-981-15-4155-1
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目次情報: 続きを見る
1. Preliminaries
2. e and pi are Transcendental
3. Theorem of Hermite-Lindemann-Weierstrass
4. Theorem of Gelfond and Schneider
5. Extensions due to Ramachandra
6. Diophantine Approximation and Transcendence
7. Roth's Theorem
8. Baker's Theorems and some Applications
9. Ground Work for the Proof of Baker's theorem
10. Proof of Baker's Theorem
11. Subspace Theorem and Some Applications
1. Preliminaries
2. e and pi are Transcendental
3. Theorem of Hermite-Lindemann-Weierstrass
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edited by Vladislav V. Kravchenko, Sergei M. Sitnik
出版情報: Cham : Springer International Publishing : Imprint: Birkhäuser, 2020
シリーズ名: Trends in Mathematics ;
オンライン: https://doi.org/10.1007/978-3-030-35914-0
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目次情報: 続きを見る
Part I: Transmutations, Integral Equations and Special Functions
Some Recent Developments in the Transmutation Operator Approach
Transmutation Operators and Their Applications
Hankel Generalized Convolutions with the Associated Legendre Functions in the Kernel and Their Applications
Second Type Neumann Series Related to Nicholson’s and to Dixon–Ferrar Formula
On Some Generalizations of the Properties of the Multidimensional Generalized Erdélyi–Kober Operators and Their Applications
Alternative Approach to Miller-Paris Transformations and Their Extensions
Transmutation Operators For Ordinary Dunkl–Darboux Operators
Theorems on Restriction of Fourier–Bessel and Multidimensional Bessel Transforms to Spherical Surfaces
Necessary Condition for the Existence of an Intertwining Operator and Classification of Transmutations on Its Basis
Polynomial Quantization on Line Bundles
Fourier–Bessel Transforms of Measures and Qualitative Properties of Solutions of Singular Differential Equations
Inversion of Hyperbolic B-Potentials
One-Dimensional and Multi-Dimensional Integral Transforms of Buschman–Erdélyi Type with Legendre Functions in Kernels
Distributions, Non-smooth Manifolds, Transmutations and Boundary Value Problems
Part II: Transmutations in ODEs, Direct and Inverse Problems
On a Transformation Operator Approach in the Inverse Spectral Theory of Integral and Integro-Differential Operators
Expansion in Terms of Appropriate Functions and Transmutations
Transmutation Operators as a Solvability Concept of Abstract Singular Equations
On the Bessel-Wright Operator and Transmutation with Applications
On a Method of Solving Integral Equation of Carleman Type on the Pair of Segments
Transmutation Operators Boundary Value Problems
Solution of Inverse Problems for Differential Operators with Delay
Part III: Transmutations for Partial and Fractional Differential Equations
Transmutations of the Composed Erdélyi-Kober Fractional Operators and Their Applications
Distributed Order Equations in Banach Spaces with Sectorial Operators
Transformation Operators for Fractional Order Ordinary Differential Equations and Their applications
Strong Solutions of Semilinear Equations with Lower Fractional Derivatives
Mean Value Theorems and Properties of Solutions of Linear Differential Equations
Transmutations for Multi-Term Fractional Operators
Fractional Bessel Integrals and Derivatives on Semi-axes
The Fractional Derivative Expansion Method in Nonlinear Dynamics of Structures: A Memorial Essay
Boundary Value Problem with Integral Condition for the Mixed Type Equation with a Singular Coefficient
Part I: Transmutations, Integral Equations and Special Functions
Some Recent Developments in the Transmutation Operator Approach
Transmutation Operators and Their Applications
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edited by Andrei Raigorodskii, Michael Th. Rassias
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2020
オンライン: https://doi.org/10.1007/978-3-030-37904-9
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目次情報: 続きを見る
On a category of cotangent sums related to the Nyman-Beurling criterion for the Riemann Hypothesis
Recent Progress in the study of polynomials with constrained coefficients
Classes of Nonnegative Sine
Inequalities for weighted trigonometric sums
Norm Inequalities for Generalized Laplace Transforms
On Marcinkiewicz-Zygmund Inequalities at Hermite Zeros and their Airy Function Cousins
The maximum of cotangent sums related to the Nyman-Beurling criterion for the Riemann Hypothesis
Double-sided Taylor's approximations and their applications in theory of trigonometric inequalities
The second moment of the first derivative of Hardy's Z-function
Dedekind and Hardy Type Sums and Trigonometric Sums Induced by Quadrature Formulas
On a Half-Discrete Hilbert-Type Inequality in the Whole Plane with the Kernel of Hyperbolic Secant Function Related to the Hurwitz Zeta Function
A remark on sets with small Wiener norm
Order estimates of best orthogonal trigonometric approximations of classes of infinitely differentiable functions
Equivalent Conditions of a Reverse Hilbert-Type Integral Inequality with the Kernel of Hyperbolic Cotangent Function Related to the Riemann zeta Function
On a category of cotangent sums related to the Nyman-Beurling criterion for the Riemann Hypothesis
Recent Progress in the study of polynomials with constrained coefficients
Classes of Nonnegative Sine
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by Robert Magnus
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2020
シリーズ名: Springer Undergraduate Mathematics Series ;
オンライン: https://doi.org/10.1007/978-3-030-46321-2
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目次情報: 続きを見る
1 Introduction
2 Real Numbers
3 Sequences and Series
4 Functions and Continuity
5 Derivatives and Differentiation
6 Integrals and Integration
7 The Elementary Transcendental Functions
8 The Techniques of Integration
9 Complex Numbers
10 Complex Sequences and Series
11 Function Sequences and Function Series
12 Improper Integrals
Index
1 Introduction
2 Real Numbers
3 Sequences and Series