1.
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by Sudhir R. Ghorpade, Balmohan V. Limaye
2.
ＥＢ
by Karl-Georg Steffens ; edited by George A. Anastassiou
3.
ＥＢ
by Omar Hijab
4.
ＥＢ
by Ethan D. Bloch
5.
ＥＢ
by Luis Barreira, Claudia Valls
6.
ＥＢ
by Giuseppe Mastroianni, Gradimir V. Milovanović
7.
ＥＢ
by George E. Andrews, Bruce C. Berndt
8.
ＥＢ
by Rinaldo B. Schinazi
9.
ＥＢ
by Ovidiu Furdui
目次情報:
続きを見る
Preface
Notations
1. Limits
2. Fractional Part Integrals
3. A Bouquet of Series
A. Elements of Classical Analysis
B. Stolz–Cesàro Lemma
References
Index
Preface
Notations
1. Limits
10.
ＥＢ
by David J. Grynkiewicz
目次情報:
続きを見る
1. Abelian Groups and Character Sums
2. Introduction to Sumsets
3. Simple Results for Torsion-Free Abelian Groups
4. Basic Results for Sumsets with an Infinite Summand
5. The Pigeonhole and Multiplicity Bounds
6. Periodic Sets and Kneser's Theorem
7. Compression, Complements and the 3k–4 Theorem
8. Additive Energy
9. Kemperman's Critical Pair Theory
10. Zero-Sums, Setpartitions and Subsequence Sums
11. Long Zero-Sum Free Sequences over Cyclic Groups
12. Pollard's Theorem for General Abelian Groups
13. The DeVos–Goddyn–Mohar Theorem
14. The Partition Theorem I
15. The Partition Theorem II
16. The Ψ-Weighted Gao Theorem
17. Group Algebras
18. Character and Linear Algebraic Methods
19. Character Sum and Fourier Analytic Methods
20. Freiman Homomorphisms Revisited
21. The Isoperimetric Method
22. The Polynomial Method
Index
1. Abelian Groups and Character Sums
2. Introduction to Sumsets
3. Simple Results for Torsion-Free Abelian Groups
11.
ＥＢ
by Graziano Gentili, Caterina Stoppato, Daniele C. Struppa
目次情報:
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Introduction
1.Definitions and Basic Results
2.Regular Power Series
3.Zeros
4.Infinite Products
5.Singularities
6.Integral Representations
7.Maximum Modulus Theorem and Applications
8.Spherical Series and Differential
9.Fractional Transformations and the Unit Ball
10.Generalizations and Applications
Bibliography
Index
Introduction
1.Definitions and Basic Results
2.Regular Power Series
12.
ＥＢ
by Igor Kriz, Aleš Pultr
目次情報:
続きを見る
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
13.
ＥＢ
edited by Michael Ruzhansky, Ville Turunen
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.
14.
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by M. Mursaleen
目次情報:
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Toeplitz Matrices
Lambert Summability and the Prime Number Theorem
Summability Tests for Singular Points
Lototski Summability and Analytic Continuation
Summability Methods for Random Variables
Almost Summability
Almost Summability of Taylor Series
Matrix Summability of Fourier and Walsh-Fourier Series
Almost Convergence in Approximation Process
Statistical Summability
Statistical Approximation
Applications to fixed point theorems
Bibliography
Index
Toeplitz Matrices
Lambert Summability and the Prime Number Theorem
Summability Tests for Singular Points
15.
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by P.N. Natarajan
目次情報:
続きを見る
Preface
Introduction and Preliminaries
Some Arithmetic and Analysis in Qp : Derivatives in Ultrametric Analysis
Ultrametric Functional Analysis
Ultrametric Summability Theory
References
Index
Preface
Introduction and Preliminaries
Some Arithmetic and Analysis in Qp : Derivatives in Ultrametric Analysis
16.
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by Charles H.C. Little, Kee L. Teo, Bruce van Brunt
目次情報:
続きを見る
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
17.
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by Radmila Bulajich Manfrino, José Antonio Gómez Ortega, Rogelio Valdez Delgado
目次情報:
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1. Preliminaries
2 Progressions and finite sums
3 Induction principle
4 Quadratic and cubic polynomials
5 Complex numbers
6 Functions and functional equations
7 Sequences and series
8 Polynomials
9 Problems
10 Solutions of the exercises and problems
Notation
Bibliography
Index
1. Preliminaries
2 Progressions and finite sums
3 Induction principle
18.
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by Amnon Jakimovski, Ambikeshwar Sharma, József Szabados
19.
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by Titu Andreescu, Dorin Andrica, Zuming Feng
20.
ＥＢ
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 ;
子書誌情報:
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オンライン:
http://dx.doi.org/10.1007/978-0-387-73468-2
所蔵情報:
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21.
ＥＢ
by P.N. Natarajan
目次情報:
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1. Introduction and Preliminaries
2. Some Arithmetic and Analysis in Qp; Derivatives in Ultrametric Analysis
3. Ultrametric Functional Analysis
4. Ultrametric Summability Theory
5. The Nörlund and the Weighted Mean Methods
6. The Euler and the Taylor Methods
7. Tauberian Theorems
8. Silverman-Toeplitz Theorem for Double Sequences and Double Series
9. The Nörlund Method and the Weighted Mean Method for Double Sequences
1. Introduction and Preliminaries
2. Some Arithmetic and Analysis in Qp; Derivatives in Ultrametric Analysis
3. Ultrametric Functional Analysis
22.
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by Claude Sabbah
23.
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by Augustin Fruchard, Reinhard Schäfke
目次情報:
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Four Introductory Examples
Composite Asymptotic Expansions: General Study
Composite Asymptotic Expansions: Gevrey Theory
A Theorem of Ramis-Sibuya Type
Composite Expansions and Singularly Perturbed Differential Equations
Applications
Historical Remarks
References
Index
Four Introductory Examples
Composite Asymptotic Expansions: General Study
Composite Asymptotic Expansions: Gevrey Theory
24.
ＥＢ
by Andreas M. Hinz, Sandi Klavžar, Uroš Milutinović, Ciril Petr
目次情報:
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Foreword by Ian Stewart
Preface
0 The Beginning of the World
1 The Chinese Rings
2 The Classical Tower of Hanoi
3 Lucas’s Second Problem
4 Sierpinski Graphs
5 The Tower of Hanoi with More Pegs
6 Variations of the Puzzle
7 The Tower of London
8 Tower of Hanoi Variants with Oriented Disc Moves
9 The End of the World
A Hints and Solutions to Exercises
Glossary
Bibliography
Name Index
Subject Index
Symbol Index
Foreword by Ian Stewart
Preface
0 The Beginning of the World
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