1.
図書
Steven G. Krantz
出版情報:
Boston, Mass. : Birkhäuser, c1999 xxiv, 290 p. ; 24 cm
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2.
図書
edited by Themistocles M. Rassias and Hari M. Srivastava
3.
図書
by Andrei Khrennikov
4.
図書
John N. McDonald, Neil A. Weiss ; biographies by Carol A. Weiss
出版情報:
San Diego : Academic Press, c1999 xvii, 745 p. ; 24 cm
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目次情報:
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Set Theory
The Real Numbers and Calculus Lebesque
Theory on the Real Line Measure
Theory Elements of Probability Differentiation
Elements of Topological and Metric
Spaces Completeness, Compactness, and Approximation
Hilbert Spaces
Classical Banach Spaces
Basic Theory of Normed and Locally
Convex Spaces
Elements of Harmonic
Analysis Measurable Dynamical Systems
Index
Set Theory
The Real Numbers and Calculus Lebesque
Theory on the Real Line Measure
5.
図書
Giuseppe Buttazzo ... [et al.], editors
出版情報:
New York : Springer, c1998 x, 148 p. ; 25 cm
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6.
図書
C.A. Berenstein ... [et al.] ; editors, E. Casadio Tarabusi, M.A. Picardello, G. Zampieri
7.
図書
edited by Peter Duren ... [et al.]
出版情報:
New York : Springer, c1998 x, 378 p. ; 25 cm
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8.
図書
Casper Goffman, Togo Nishiura, Daniel Waterman
目次情報:
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The One Dimensional Case: Subsets of $\mathbb{R}$ / Part 1：
Baire class 1 Differentiability classes
The derivative function
Mappings and Measures on ${\mathbb R}^n$: Bi-Lipschitzian homeomorphisms / Part 2：
Approximation by homeomorphisms
Measures on $\mathbb{R}^n$ Blumberg's theorem
Fourier Series: Improving the behavior of Fourier series / Part 3：
Preservation of convergence of Fourier series
Fourier series of integrable functions
Supplementary material
Bibliography
Index
The One Dimensional Case: Subsets of $\mathbb{R}$ / Part 1：
Baire class 1 Differentiability classes
The derivative function
9.
図書
C. Constanda, J. Saranen and S. Seikkala (editors)
10.
図書
Junjiro Noguchi ; translated by Junjiro Noguchi
11.
図書
by Shouchuan Hu and Nikolas S. Papageorgiou
目次情報:
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Theory / Volume A：
Continuity of Multifunctions / 1：
Measurable Multifunctions / 2：
Monotone and Accretive Operators / 3：
Degree Theory for Multifunctions / 4：
Fixed Points / 5：
Concave Multifunctions and Tangent Cones / 6：
Convergence of Multifunctions / 7：
Set-Valued Random Processes and Multimeasures / 8：
Appendix A.1
Topology. A.2
Measure Theory. A.3
Functional Analysis
References
Symbols
Index
Preface
Evolution Inclusions Involving Monotone Coercive Operators / I：
Evolution Inclusions of the Subdifferential Type / II：
Special Topics in Differential and Evolution Inclusions / III：
Optimal Control / IV：
Calculus of Variations / V：
Mathematical Economics / VI：
Stochastic Games / VII：
Special Topics in Mathematical Economics and Optimization / VIII：
Appendix
Symbol
Errata of Volume A
Theory / Volume A：
Continuity of Multifunctions / 1：
Measurable Multifunctions / 2：
12.
図書
Douglas S. Bridges
13.
図書
S. Zaidman
出版情報:
River Edge, NJ : World Scientific, 1997 vii, 169 p. ; 23 cm
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14.
図書
Murray H. Protter
15.
図書
Jean-Pierre Aubin ; translated from the French by Stephen Wilson
16.
図書
Serge Lang
目次情報:
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Basic Theory / I：
Complex Numbers and Functions / 1：
Power Series / 2：
Cauchy's Theorem, First Part / 3：
Winding Numbers and Cauchy's Theorem / 4：
Applications of Cauchy's Integral Formula / 5：
Calculus of Residues / 6：
Conformal Mappings / 7：
Harmonic Functions / 8：
Geometric Function Theory / II：
Schwarz Reflection / 9：
The Riemann Mapping Theorem / 10：
Analytic Continuation Along Curves / 11：
Various Analytic Topics / III：
Applications of the Maximum Modulus Principle and Jensen's Formula / 12：
Entire and Meromorphic Functions / 13：
Elliptic Functions / 14：
The Gamma and Zeta Functions / 15：
The Prime Number Theorem / 16：
Basic Theory / I：
Complex Numbers and Functions / 1：
Power Series / 2：
17.
図書
Richard Courant, Fritz John
出版情報:
Berlin ; New York ; Tokyo : Springer-Verlag, c1999-c2000 3 v. ; 24-25 cm
シリーズ名:
Classics in mathematics
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Relations Between Surface and Volume Integrals: Connection Between Line Integrals and Double Integrals in the Plane
Vector Form of the Divergence Theorem / Stokes's Theorem
Formula for Integration by Parts in Two Dimensions: / Green's Theorem
The Divergence Theorem Applied to the Transformation of Double Integrals
Area Differentiation
Interpretation of the Formulae of Gauss and Stokes by Two-Dimensional Flows
Orientation of Surfaces
Integrals of Differential Forms and of Scalars over Surfaces
Gauss's and Green's Theorems in Space
Appendix: General Theory of Surfaces and of Surface Integrals.- Differential Equations: The Differential Equations for the Motion of a Particle in Three Dimensions
The General Linear Differential Equation of the First Order
Linear Differential Equations of Higher Order
General Differential Equations of the First Order
Systems of Differential Equations and Differential Equations of Higher Order
Integration by the Method of Undermined Coefficients
The Potential of Attracting Charges and Laplace's Equation
Further Examples of Partial Differential Equations from Mathematical Physics
Calculus of Variations: Functions and Their Extreme Values of a Functional
Generalizations
Problems Involving Subsidiary Conditions. Lagrange Multipliers
Functions of a Complex Variable: Complex Functions Represented by Power Series
Foundations of the General Theory of Functions of a Complex Variable
The Integration of Analytic Functions
Cauchy's Formula and Its Applications
Applications to Complex Integration (Contour Integration)
Many-Valued Functions and Analytic Extension.
List of Biographical Dates
Index
Functions of Several Variables and Their Derivatives: Points and Points Sets in the Plane and in Space
Functions of Several Independent Variables
Continuity
The Partial Derivatives of a Function
The Differential of a Function and Its Geometrical Meaning
Functions of Functions (Compound Functions) and the Introduction of New Independent Variables
The mean Value Theorem and Taylor's Theorem for Functions of Several Variables
Integrals of a Function Depending on a Parameter
Differentials and Line Integrals
The Fundamental Theorem on Integrability of Linear Differential Forms
Appendix.- Vectors, Matrices, Linear Transformations: Operatios with Vectors
Matrices and Linear Transformations
Determinants
Geometrical Interpretation of Determinants
Vector Notions in Analysis.- Developments and Applications of the Differential Calculus: Implicit Functions
Curves and Surfaces in Implicit Form
Systems of Functions, Transformations, and Mappings
Applications
Families of Curves, Families of Surfaces, and Their Envelopes
Alternating Differential Forms
Maxima and Minima
Appendix.- Multiple Integrals: Areas in the Plane
Double Integrals
Integrals over Regions in three and more Dimensions
Space Differentiation. Mass and Density
Reduction of the Multiple Integral to Repeated Single Integrals
Transformation of Multiple Integrals
Improper Multiple Integrals
Geometrical Applications
Physical Applications
Multiple Integrals in Curvilinear Coordinates
Volumes and Surface Areas in Any Number of Dimensions
Improper Single Integrals as Functions of a Parameter
The Fourier Integral
The Eulerian Integrals (Gamma Function)
Appendix
Relations Between Surface and Volume Integrals: Connection Between Line Integrals and Double Integrals in the Plane
Vector Form of the Divergence Theorem / Stokes's Theorem
Formula for Integration by Parts in Two Dimensions: / Green's Theorem
18.
図書
Steven G. Krantz, Harold R. Parks
19.
図書
Geoff Smith
目次情報:
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Preface
Sets, Functions and Relations
Proof
Complex Numbers
Vectors and matrices
Group Theory
Sequences and series
Continuity and functions
Index
Preface
Sets, Functions and Relations
Proof
20.
図書
Wolfgang Walter
出版情報:
Berlin : Springer, c1997 xii, 387 p. ; 24 cm
シリーズ名:
Grundwissen Mathematik
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21.
図書
Serge Lang
目次情報:
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Sets and Mappings / Chapter 0：
Real Numbers / Chapter 1：
Limits and Continuous Functions / Chapter 2：
Differentiation / Chapter 3：
Elementary Functions / Chapter 4：
The Elementary Real Integral / Chapter 5：
Normed Vector Spaces / Chapter 6：
Limits / Chapter 7：
Compactness / Chapter 8：
Series / Chapter 9：
The Integral in One Variable / Chapter 10：
Appendix: The Lebesgue Integral
Approximation with Convolutions / Chapter 11：
Fourier Series / Chapter 12：
Improper Integrals / Chapter 13：
The Fourier Integral / Chapter 14：
Calculus in Vector Spaces / Chapter 15：
The Winding Number and Global Potential Functions / Chapter 16：
Derivatives in Vector Spaces / Chapter 17：
Inverse Mapping Theorem / Chapter 18：
Ordinary Differential Equations / Chapter 19：
Multiple Integration / Chapter 20：
Differential Forms / Chapter 22：
Appendix
Sets and Mappings / Chapter 0：
Real Numbers / Chapter 1：
Limits and Continuous Functions / Chapter 2：
22.
図書
Eric Schechter
出版情報:
San Diego, CA ; Tokyo : Academic Press, c1997 xxii, 883 p. ; 25 cm
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Sets and Orderings: Sets
Functions
Relations and Orderings
More About Sups and Infs
Filters, Topologies, and Other Sets of Sets
Constructivism and Choice
Nets and Convergences
Algebra: Elementary Algebraic Systems
Concrete Categories
The Real Numbers
Linearity
Convexity
Boolean Algebras
Logic and Intangibles
Topology and Uniformity: Topological Spaces
Separation and Regularity Axioms
Compactness
Uniform Spaces
Metric and Uniform Completeness
Baire Theory
Positive Measure and Integration
Topological Vector Spaces: Norms
Normed Operators
Generalized Riemann Integrals
Frechet Derivatives
Metrization of Groups and Vector Spaces
Barrels and Other Features of TVSs
Duality and Weak Compactness
Vector Measures
Initial Value Problems
References
Subject Index
List of Symbols
Sets and Orderings: Sets
Functions
Relations and Orderings
23.
図書
Tsoy-Wo Ma
出版情報:
Singapore : World Scientific, c1995 xvi, 356 p. ; 23 cm
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24.
図書
R. Kannan, Carole King Krueger
出版情報:
New York : Springer, c1996 ix, 259 p. ; 24 cm
シリーズ名:
Universitext
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25.
図書
Liang-shin Hahn, Bernard Epstein
26.
図書
Andrew Browder
目次情報:
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Real Functions / 1：
Sequences and Series / 2：
Continuous Functions on Intervals / 3：
Differentiation / 4：
The Riemann Integral / 5：
Topology / 6：
Function Spaces / 7：
Differentiable Maps / 8：
Measures / 9：
Integration / 10：
Manifolds / 11：
Multilinear Algebra / 12：
Differential Forms / 13：
Integration on Manifolds / 14：
Real Functions / 1：
Sequences and Series / 2：
Continuous Functions on Intervals / 3：
27.
図書
E. Hairer, G. Wanner
28.
図書
Norman R. Howes
出版情報:
New York ; Berlin : Springer-Verlag, c1995 xxviii, 403 p. ; 24 cm
シリーズ名:
Universitext
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29.
図書
edited by F. Bródy & T. Vámos
30.
図書
Elliott H. Lieb, Michael Loss
目次情報:
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Measure and integration $L^p$-spaces
Rearrangement inequalities Integral inequalities
The Fourier transform Distributions
The Sobolev spaces $H^1$ and $H^{1/2}$
Sobolev inequalities Potential theory and Coulomb energies
Regularity of solutions of Poisson's equation
Introduction to the calculus of variations
More about eigenvalues Part Title
List of symbols
References
Index
Measure and integration $L^p$-spaces
Rearrangement inequalities Integral inequalities
The Fourier transform Distributions
31.
図書
Steven A. Douglass
出版情報:
Reading, Mass. : Addison-Wesley Pub. Co., c1996 xvii, 737 p. ; 24 cm
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The Structure of the Real Numbers: Sequences / 1：
Euclidean Spaces / 2：
Continuity / 3：
Differentiation / 4：
Functions of Bounded Variations / 5：
The Riemann Integral / 6：
The Riemann-Stieltjes Integral / 7：
Differential Calculus in R n / 8：
Vector-Valued Functions / 9：
Multiple Integrals / 10：
Infinite Series / 11：
Series of Functions / 12：
Improper Integrals / 13：
Fourier Series / 14：
Appendices
References and Additional Readings
Index
The Structure of the Real Numbers: Sequences / 1：
Euclidean Spaces / 2：
Continuity / 3：
32.
図書
Klas Diederich (ed.)
33.
図書
Murray H. Protter, Charles B. Morrey, Jr
目次情報:
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The Real Number System / 1：
Continuity and Limits / 2：
Basic Properties of Functions on R / 3：
Elementary Theory of Differentiation / 4：
Elementary Theory of Integration / 5：
Elementary Theory of Metric Spaces / 6：
Differentiation in R / 7：
Integration in R / 8：
Infinite Sequences and Infinite Series / 9：
Fourier Series / 10：
Functions Defined by Integrals; Improper Integrals / 11：
The Riemann-Stieltjes Integral and Functions of Bounded Variation / 12：
Contraction Mappings, Newton's Method, and Differential Equations / 13：
Implicit Function Theorems and Lagrange Multipliers / 14：
Functions on Metric Spaces; Approximation / 15：
Vector Field Theory; the Theorems of Green and Stokes / 16：
Appendices
The Real Number System / 1：
Continuity and Limits / 2：
Basic Properties of Functions on R / 3：
34.
図書
Marko M. Mäkelä and Pekka Neittaanmäki
出版情報:
Singapore ; New Jersey : World Scientific, c1992 xii, 254 p. ; 23 cm
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35.
図書
Steven G. Krantz
36.
図書
B.V. Shabat ; [translated from the Russian by J.S. Joel]
37.
図書
by D.S. Mitrinović, J.E. Pečarić, and A.M. Fink
38.
図書
B.M. Makarov ... [et al.]
目次情報:
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Introduction
Sequences Functions Series
Integrals Asymptotics Functions (continuation)
Lebesgue measure and the Lebesgue integral
Sequences of measurable functions
Iterates of transformations of an interval Answers
Bibliography / Appendix I-III：
Subject Index
Introduction
Sequences Functions Series
Integrals Asymptotics Functions (continuation)
39.
図書
Serge Lang
目次情報:
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Basic Theory / I：
Complex Numbers and Functions / 1：
Power Series / 2：
Cauchy's Theorem, First Part / 3：
Winding Numbers and Cauchy's Theorem / 4：
Applications of Cauchy's Integral Formula / 5：
Calculus of Residues / 6：
Conformal Mappings / 7：
Harmonic Functions / 8：
Geometric Function Theory / II：
Schwarz Reflection / 9：
The Riemann Mapping Theorem / 10：
Analytic Continuation Along Curves / 11：
Various Analytic Topics / III：
Applications of the Maximum Modulus Principle and Jensen's Formula / 12：
Entire and Meromorphic Functions / 13：
Elliptic Functions / 14：
The Gamma and Zeta Functions / 15：
The Prime Number Theorem / 16：
Basic Theory / I：
Complex Numbers and Functions / 1：
Power Series / 2：
40.
図書
Yu.V. Egorov, M.A. Shubin (eds.)
目次情報:
Egorov: Microlocal Analysis / V.Ya. Ivrii
Linear Hyperbolic Equations
Egorov: Microlocal Analysis / V.Ya. Ivrii
Linear Hyperbolic Equations
41.
図書
Peter Henrici
目次情報:
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Infinite Products
Ordinary Differential Equations
Integral Transforms
Asymptotic Methods
Continued Fractions
Bibliography
Appendix
Index
Infinite Products
Ordinary Differential Equations
Integral Transforms
42.
図書
John H. Ewing, F.W. Gehring, editors
出版情報:
New York : Springer-Verlag, c1991 320 p. ; 25 cm
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43.
図書
Alan Jeffrey
44.
図書
by Ivan H. Dimovski
45.
図書
James Foran
46.
図書
James R. Munkres
出版情報:
Redwood City, Calif. : Addison-Wesley Pub. Co., Advanced Book Program, c1991 xi, 366 p. ; 24 cm
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47.
図書
Robert Dautray, Jacques-Louis Lions ; with the collaboration of Michel Artola and Michel Cessenat ; translated from the French by John C. Amson
目次情報:
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Spectral Theory.
Examples in Electromagnetism and Quantum Physics.
Appendix: Some Spectral Notions.
Bibliography.
Table of Notations.
Index.
Spectral Theory.
Examples in Electromagnetism and Quantum Physics.
Appendix: Some Spectral Notions.
48.
図書
Robert Dautray, Jacques-Louis Lions ; with the collaboration of Philippe Bénilan ... [et al.] ; translated from the French by Ian N. Sneddon
49.
図書
edited by Paul H. Rabinowitz, Eduard Zehnder
出版情報:
Boston ; Tokyo : Academic Press, c1990 xii, 694 p. ; 24 cm
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50.
図書
Arlen Brown, Carl Pearcy
目次情報:
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Contents: The rudiments of set theory
Number systems
Linear analysis
Cardinal numbers
Ordinal numbers
Metric spaces
Continuity and limits
Completeness and compactness
General topology
Bibliography
Index
Contents: The rudiments of set theory
Number systems
Linear analysis
51.
図書
Katsumi Nomizu, editor
目次情報:
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Nonlinear partial differential equations and infinite dimensional dynamical systems / H. Matano
Langevin equations and causal analysis / Y. Okabe
Analytic capacity (a theory of the Szego kernel function) / T. Murai
Laplacians on self-similar sets-analysis of fractals / J. Kigami
Statistical analysis of mapped point patterns-present condition of theory and application / S. Mase ; Y. Ogata ; M. Tanemura
Spectra in random media / S. Ozawa
The asymptotic distributions of eigenvalues for the Schrodinger operators with magnetic fields / H. Matsumoto
Recursive estimation of nonparametric probability density functions / E. Isogai
Nonlinear partial differential equations and infinite dimensional dynamical systems / H. Matano
Langevin equations and causal analysis / Y. Okabe
Analytic capacity (a theory of the Szego kernel function) / T. Murai
52.
図書
George Pedrick
53.
図書
Chung-Chun Yang ... [et al.] (editors)
54.
図書
Jean-Pierre Aubin ; translated from the French by Stephen Wilson
55.
図書
Serge Lang
56.
図書
S.L. Sobolev
出版情報:
Philadelphia : Gordon and Breach Science Publishers, c1992 xvi, 379 p. ; 24 cm
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57.
図書
Heinrich G.W. Begehr
出版情報:
Singapore ; River Edge, N.J. : World Scientific, c1994 ix, 273 p. ; 23 cm
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58.
図書
Themistocles M. Rassias and Jaromír Šimša
59.
図書
C.A.J. Fletcher
目次情報:
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Flow Categories
From the Contents: Computational Fluid Dynamics: An Introduction
Partial Differential Equations
Preliminary Computational Techniques
Theoretical Background
Weighted Residual Methods
Steady Problems
One-Dimensional Diffusion Equation
Multidimensional Diffusion Equation
Linear Convection-Dominated Problems
Nonlinear Convection-Dominated Problems
Appendix
References
Subject Index
Flow Categories
From the Contents: Computational Fluid Dynamics: An Introduction
Partial Differential Equations
60.
図書
Lars Gårding
出版情報:
Providence, R.I. : American Mathematical Society , Beijing, China : Higher Education Press, c1997 vii, 88 p. ; 26 cm
シリーズ名:
University lecture series ; v. 11
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61.
図書
Richard F. Bass
62.
図書
Gerald B. Folland
目次情報:
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Measures
Integration
Signed Measures and Differentiation
Point Set Topology
Elements of Functional Analysis
L"p Spaces
Radon Measures
Elements of Fourier Analysis
Elements of Distribution Theory
Topics in Probability Theory
More Measures and Integrals
Bibliography
Indexes
Measures
Integration
Signed Measures and Differentiation
図書
