1.
ＥＢ
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:
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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.
ＥＢ
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.
ＥＢ
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.
ＥＢ
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.
ＥＢ
by Radmila Bulajich Manfrino, José Antonio Gómez Ortega, Rogelio Valdez Delgado
目次情報:
続きを見る
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.
ＥＢ
by Amnon Jakimovski, Ambikeshwar Sharma, József Szabados
19.
ＥＢ
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:
loading…
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.
ＥＢ
by Claude Sabbah
23.
ＥＢ
by Augustin Fruchard, Reinhard Schäfke
目次情報:
続きを見る
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:
続きを見る
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
25.
ＥＢ
by John Toland
目次情報:
続きを見る
1 Introduction
2 Notation and Preliminaries
3 L∞ and its Dual
4 Finitely Additive Measures
5 G: 0-1 Finitely Additive Measures
6 Integration and Finitely Additive Measures
7 Topology on G
8 Weak Convergence in L∞(X,L,λ)
9 L∞* when X is a Topological Space
10 Reconciling Representations
References
Index
1 Introduction
2 Notation and Preliminaries
3 L∞ and its Dual
26.
ＥＢ
edited by Naokant Deo, Vijay Gupta, Ana Maria Acu, P. N. Agrawal
目次情報:
続きを見る
A. J. Lopez-Moreno, Expressions, Localization Results and Voronovskaja Formulas for Generalized Durrmeyer Type Operators
P. N. Agrawal and A. Kumar, Lupas Kantorovich Type Operators for Functions of Two Variables
S. Pandey, S. R. Verma and S. Dixit, Bernstein Polynomials Multi Wavelets Operational Matrix for Solution of Differential Equation
V. Gupta, Convergence Estimates of Certain Exponential Type Operators
N. Bhardwaj, A Better Error Estimation on Generalized Positive Linear Operators Based on PED and IPED
R. Pratap and N. Deo, Approximation by α-Bernstein–Kantrovich Operator
A. A. Maria and V. A. Radu, Approximation by Certain Operators Linking the α-Bernstein and the Genuine α-Bernstein–Durrmeyer Operators
M. Heilmann and I. Rasa, Note on a Proof for the Representation of the k-th Order Kantorovich Modification of Linking Baskakov Type Operators
R. Chauhan and P. N. Agrawal, Degree of Approximation by Generalized Boolean Sum of λ-Bernstein Operators
M. Dhamija, Durrmeyer Modification of Lupas Type Baskakov Operators Based on IPED
F. Ozsarac, A. Aral and H. Karsli, On Bernstein–Chlodowsky Type Operators Preserving Exponential Functions
A.-D. Filip and V. A. Radu, Iterative Approximation of Common Fixed Points in Kasahara Spaces
V. Sihag and Dinesh, Vinod, Fixed Point Theorem in Fuzzy Metric Space Via α-Series Contraction
A. A. Aserkar and M. P. Gandhi, The Unique Common Fixed-Point Theorem for Four Mappings Satisfying Common Limit in the Range
S. Gandhi, Radius Estimates for Three Leaf Function and Convex Combination of Starlike Functions
S. Anand, S. Kumar and V. Ravichandran: Starlikeness Associated with Admissible Functions
M. Mundalia and S. S. Kumar, Coefficient Bounds for a Unified Class of Holomorphic Functions
N. K. Jain and S. Yadav, Bohr Radius for Certain Analytic Functions
V. Kumar, S. Kumar and V. Ravichandran, Third Hankel Determinant for Certain Classes of Analytic Functions
R. Haloi and M. Sen, μ-Statistical Convergence of Sequences in Probabilistic n-Normed Spaces
S. Shah and T. Das, Recent Advances in Distributional Chaos Theory
A. K. Verma and S. Kumar, Lacunary Statistical Convergence of Order α for Generalized Difference Sequences and Summability through Modulus Function
Ritika, Convergence of Three Step Iterative Process for Generalized Asymptotically Quasi-Non expansive Mappings in CAT(0) Spaces
A. J. Lopez-Moreno, Expressions, Localization Results and Voronovskaja Formulas for Generalized Durrmeyer Type Operators
P. N. Agrawal and A. Kumar, Lupas Kantorovich Type Operators for Functions of Two Variables
S. Pandey, S. R. Verma and S. Dixit, Bernstein Polynomials Multi Wavelets Operational Matrix for Solution of Differential Equation
27.
ＥＢ
by Tomasz Radożycki
目次情報:
続きを見る
Examining Sets and Relations
Investigating Basic Properties of Functions
Defining Distance in Sets
Using Mathematical Induction
Investigating Convergence of Sequences and Looking for Their Limits
Dealing with Open, Closed and Compact Sets
Finding Limits of Functions
Examining Continuity and Uniform Continuity of Functions
Finding Derivatives of Functions
Using Derivatives to Study Certain Properties of Functions
Dealing with Higher Derivatives and Taylor’s Formula
Looking for Extremes and Examine Functions
Investigating the Convergence of Series
Finding Indefinite Integrals
Investigating the Convergence of Sequences and Series of Functions
Examining Sets and Relations
Investigating Basic Properties of Functions
Defining Distance in Sets
28.
ＥＢ
by Robert Magnus
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
29.
ＥＢ
by Claude Brezinski, Michela Redivo-Zaglia
目次情報:
続きを見る
1. General Overview
2. Mathematical Background
3. The Mathematical Landscape up to the Mid-Twentieth Century
4. The Life of Peter Wynn
5. The Works of Peter Wynn. - 6. Commentaries and Further Developments
7. Testimonies
8. Vitae
As a conclusion
Acknowledgements
Bibliography
Index
1. General Overview
2. Mathematical Background
3. The Mathematical Landscape up to the Mid-Twentieth Century
30.
ＥＢ
by Bijan Davvaz
目次情報:
続きを見る
1 Linear Transformations and Linear Groups
2 Group Actions on Sets
3 Sylow’s Theorems and Applications
4 Simple Groups
5 Product of Groups
6 Normal Series
7 Free Groups and Presentations
8 Symmetry Groups of Geometric Objects
9 Platonic Solids
10 Frieze and Wallpaper Symmetry Groups
11 Representations and Characters of Groups
1 Linear Transformations and Linear Groups
2 Group Actions on Sets
3 Sylow’s Theorems and Applications
31.
ＥＢ
by Bruno de Malafosse, Eberhard Malkowsky, Vladimir Rakočević
目次情報:
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1. Introduction
2. Matrix Domains
3. Operators between Matrix Domains
4. Statistical Convergence
5. Inclusion Equations
6. Sequence Space Equations
7. Solvability
1. Introduction
2. Matrix Domains
3. Operators between Matrix Domains
32.
ＥＢ
by Alina Sîntămărian, Ovidiu Furdui
目次情報:
続きを見る
Preface
Notations
Sequences of Real Numbers
Series of Real Numbers
Power Series
Derivatives and Applications
Partial Derivatives and Applications
Implicit Functions
Challenges, Gems, and Mathematical Beauties
An Artistry of Quadratic Series. Two New Proofs of Sandham-Yeung Series
Solutions
References
Index
Preface
Notations
Sequences of Real Numbers
33.
ＥＢ
by Sergei Ovchinnikov
目次情報:
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1 Rational Numbers
2 Real Numbers
3 Continuous Functions
4 Differentiation
5 Integration
6 Infinite Series
A Natural Numbers and Integers
B Dedekind's Construction of Real Numbers. C A Panorama of Ordered Fields
1 Rational Numbers
2 Real Numbers
3 Continuous Functions
34.
ＥＢ
by Andrei Bourchtein, Ludmila Bourchtein
目次情報:
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1. Introduction
2. Analytic Functions and Their Properties
3. Singular Points. Laurent Series. Residues
4. Conformal Mappings. Elementary Functions
5. Fundamental Principles of Conformal Mappings. Transformations of Polygons
1. Introduction
2. Analytic Functions and Their Properties
3. Singular Points. Laurent Series. Residues
35.
ＥＢ
by Ferenc Weisz
目次情報:
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One-dimensional Fourier series
lq-summability of higher dimensional Fourier series
Rectangular summability of higher dimensional Fourier series
Lebesgue points of higher dimensional functions
One-dimensional Fourier series
lq-summability of higher dimensional Fourier series
Rectangular summability of higher dimensional Fourier series
36.
ＥＢ
by Graziano Gentili, Caterina Stoppato, Daniele C. Struppa
目次情報:
続きを見る
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
11. Function Theory over Non-symmetric Slice Domains.-12. Applications
Bibliography
Index
Introduction
1.Definitions and Basic Results
2.Regular Power Series
37.
ＥＢ
by Ignacio Zalduendo
目次情報:
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Chapter. 1. The Real Numbers
Chapter. 2. Sequences and Series
Chapter. 3. Functions
Chapter. 4. The Derivative
Chapter. 5. The Integral
Chapter. 6. More Derivatives
Chapter. 7. Convexity and The Isoperimetric Inequality
Chapter. 8. More Integrals
Chapter. 9. The Gamma Function
Chapter. 1. The Real Numbers
Chapter. 2. Sequences and Series
Chapter. 3. Functions
38.
ＥＢ
by Atul Kumar Razdan, V. Ravichandran
目次情報:
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1. Sets, Functions and Cardinality
2. The Real Numbers
3. Sequence and Series of Numbers
4. Analysis on R
5. Topology of the Real Line
6. Metric Spaces
7. Continuity and Differentiability
8. Sequences and Series of Functions
9. Lebesgue Integration
10. Fourier Series
1. Sets, Functions and Cardinality
2. The Real Numbers
3. Sequence and Series of Numbers
39.
ＥＢ
by Lars-Erik Persson, George Tephnadze, Ferenc Weisz
40.
ＥＢ
by Ludmila Bourchtein, Andrei Bourchtein
目次情報:
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Sequences of numbers
Series of numbers
Sequences of functions
Series of functions
Power series
Sequences of numbers
Series of numbers
Sequences of functions
41.
ＥＢ
by Carlos A. de Moura
目次情報:
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Road Map
Basic Concepts
Dual of a Normed Space
Sobolev Spaces, Distributions
The Three Basic Principles
Compactness
Function Derivatives in Normed Spaces
Hilbert Bases and Approximations
Road Map
Basic Concepts
Dual of a Normed Space
42.
ＥＢ
edited by S. A. Mohiuddine, Bipan Hazarika, Hemant Kumar Nashine
目次情報:
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Chapter 1. Topology on Geometric Sequence Spaces
Chapter 2. Composition Operators on Second Order Ces`aro Function Spaces
Chapter 3. Generalized Deferred Statistical Convergence
Chapter 4. Approximation By Generalized Lupas¸-P ˇaltˇanea Operators
Chapter 5. Zachary spaces Z p[R¥] and separable Banach spaces
Chapter 6. New generalization of the power summability methods for Dunkl generalization of Sz´asz operators via q-calculus
Chapter 7. Approximation by generalized Sz´asz-Jakimovski-Leviatan type operators
Chapter 8. On Approximation of Signals
Chapter 9. Numerical Solution for nonlinear problems
Chapter 10. Sz´asz-type operators involving q-Appell polynomials
Chapter 11. Commutants of the infinite Hilbert operators
Chapter 12. On complex uncertain sequences defined by Orlicz function
Chapter 13. Ulam-Hyers stability of mixed type functional equation deriving from additive and quadratic mappings in intuitionistic random normed spaces
Chapter 14. A Study On Q-Euler Difference Sequence Spaces
Chapter 1. Topology on Geometric Sequence Spaces
Chapter 2. Composition Operators on Second Order Ces`aro Function Spaces
Chapter 3. Generalized Deferred Statistical Convergence
43.
ＥＢ
by Ali Benhissi
目次情報:
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- Preface
S-Noetherian Modules and Rings
S-Artininian Rings and Modules
Almost Principal Polynomial Rings
The SFT and t-SFT rings
Nonnil-Noetherian Rings
Strongly Hopfian, Endo-Noetherian and Isonoetherian Rings
Index
- Preface
S-Noetherian Modules and Rings
S-Artininian Rings and Modules
44.
ＥＢ
by Charles H. C. Little, Kee L. Teo, Bruce van Brunt
目次情報:
続きを見る
Preface
1. Introduction
2. Infinite Products
3. The Gamma Function
4. Prime Numbers, Partitions and Products
5. Epilogue
6. Tables of Products
References
Preface
1. Introduction
2. Infinite Products
45.
ＥＢ
by James Sochacki, Anthony Tongen
目次情報:
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Chapter 1. Introduction: The Linear ODE: x′ = bx + c
Chapter 2. Egg 1: The Quadratic ODE: x′ = ax2 + bx + c
Chapter 3. Egg 2: The First Order Exponent ODE: x′ = xr
Chapter 4. Egg 3: The First Order Sine ODE: x′ = sin x
Chapter 5. Egg 4: The Second Order Exponent ODE: x′′ = −xr
Chapter 6. Egg 5: The Second Order Sine ODE - The Single Pendulum
Chapter 7. Egg 6: Newton’s Method and the Steepest Descent Method
Chapter 8. Egg 7: Determining Power Series for Functions through ODEs
Chapter 9. Egg 8: The Periodic Planar ODE: x′ = −y + ax2 + bxy + cy2 ; y′ = x + dx2 + exy + fy2
Chapter 10. Egg 9: The Complex Planar Quadratic ODE: z′ = az2 + bz + c
Chapter 11. Egg 10: Newton’s N-Body Problem
Chapter 12. Egg 11: ODEs and Conservation Laws
Chapter 13. Egg 12: Delay Differential Equations
Chapter 14. An Overview of Our Dozen ODEs
Chapter 15. Appendix 1. A Review of Maclaurin Polynomials and Power Series
Chapter 16. Appendix 2. The Dog Rabbit Chasing Problem
Chapter 17. Appendix 3. A PDE Example: Burgers’ Equation
References
Chapter 1. Introduction: The Linear ODE: x′ = bx + c
Chapter 2. Egg 1: The Quadratic ODE: x′ = ax2 + bx + c
Chapter 3. Egg 2: The First Order Exponent ODE: x′ = xr
ＥＢ
