close
1.

図書
図書
1. Introduction to mathematical analysis (: [pbk.])
Igor Kriz, Aleš Pultr
出版情報: [S.l.] : Birkhäuser , Basel : Springer, c2013  xx, 510 p. ; 24 cm
所蔵情報: loading…
2.

図書
図書
2. Antieigenvalue analysis : with applications to numerical analysis, wavelets, statistics, quantum mechanics, finance and optimization (: hbk.)
Karl Gustafson
出版情報: Singapore : World Scientific, c2012  xiv, 244 p. ; 24 cm
所蔵情報: loading…
目次情報: 続きを見る
Preface
Introduction / 1：
Perspective
A Recent Referee Speaks / 1.1：
The Original Motivation / 1.2：
The Essential Entities / 1.3：
Simple Examples and a Picture / 1.4：
Applications to-Date / 1.5：
Organization of this Book / 1.6：
Commentary
Exercises / 1.7：
The Original Motivation: Operator Semigroups / 2：
Abstract Initial Value Problems / 2.1：
The Hille-Yosida-Phillips-Lumer Theorem / 2.2：
The Rellich-Kato-Nelson-Gustafson Theorem / 2.3：
The Multiplicative Perturbation Theorem / 2.4：
When are Positive Operator Products Positive? / 2.5：
Nonnegative Contraction Semigroups / 2.6：
The Essentials of Antieigenvalue Theory / 2.7：
Convexity Properties of Norm Geometry / 3.1：
The Min-Max Theorem / 3.2：
The Euler Equation / 3.3：
Higher Antieigenvalues and Antieigenvectors / 3.4：
The Triangle Inequality / 3.5：
Extended Operator Trigonometry / 3.6：
Applications in Numerical Analysis / 3.7：
Gradient Descent: Kantorovich Bound is Trigonometric / 4.1：
Minimum Residual Ax = b Solvers / 4.2：
Richardson Relaxation Schemes (e.g. SOR) / 4.3：
Very Rich Trigonometry Underlies ADI / 4.4：
Domain Decomposition Multilevel Schemes / 4.5：
Preconditioning and Condition Numbers / 4.6：
Applications in Wavelets, Control, Scattering / 4.7：
The Time Operator of Wavelets / 5.1：
Frame Operator Trigonometry / 5.2：
Wavelet Reconstruction is Trigonometric / 5.3：
New Basis Trigonometry / 5.4：
Trigonometry of Lyapunov Stability / 5.5：
Multiplicative Perturbation and Irreversibility / 5.6：
The Trigonometry of Matrix Statistics / 5.7：
Statistical Efficiency / 6.1：
The Euler Equation versus the Inefficiency Equation / 6.2：
Canonical Correlations and Rayleigh Quotients / 6.3：
Other Statistics Inequalities / 6.4：
Prediction Theory: Association Measures / 6.5：
Antieigenmatrices / 6.6：
Quantum Trigonometry / 6.7：
Bell-Wigner-CHSH Inequalities / 7.1：
Trigonometric Quantum Spin Identities / 7.2：
Quantum Computing: Phase Issues / 7.3：
Penrose Twisters / 7.4：
Elementary Particles / 7.5：
Trigonometry of Quantum States / 7.6：
Financial Instruments / 7.7：
Some Remarks on Mathematical Finance / 8.1：
Quantos: Currency Options / 8.2：
Multi-Asset Pricing: Spread Options / 8.3：
Portfolio Rebalancing / 8.4：
American Options with Random Volatility / 8.5：
Risk Measures for Incomplete Markets / 8.6：
Other Directions / 8.7：
Operators / 9.1：
Angles / 9.2：
Optimization / 9.3：
Equalities / 9.4：
Geometry / 9.5：
Applications / 9.6：
Linear Algebra / 9.7：
Matrix Analysis / A.1：
Operator Theory / A.2：
Hints and Answers to Exercises / Appendix B：
Bibliography
Index
Preface
Introduction / 1：
Perspective
3.

図書
図書
3. Real analysis : theory of measure and integration. 3rd ed (: hardcover ; : pbk)
J. Yeh
出版情報: New Jersey : World Scientific, c2014  xxiii, 815 p. ; 24 cm
所蔵情報: loading…
4.

図書
図書
4. Introduction to calculus and classical analysis. 3rd ed
Omar Hijab
出版情報: New York : Springer, c2011  xii, 363 p. ; 24 cm
シリーズ名: Undergraduate texts in mathematics
所蔵情報: loading…
5.

図書
図書
5. Essentials of integration theory for analysis
Daniel W. Stroock
出版情報: New York, N.Y. : Springer, c2011  xi, 243 p. ; 24 cm
シリーズ名: Graduate texts in mathematics ; 262
所蔵情報: loading…
6.

図書
図書
6. Isaac Newton on mathematical certainty and method (: pbk)
Niccolò Guicciardini
出版情報: Cambridge, Mass. : MIT Press, 2011  xxiii, 422 p. ; 23 cm
シリーズ名: Transformations : studies in the history of science and technology
所蔵情報: loading…
7.

図書
図書
7. Introduction to real analysis. 4th ed (: hardback)
Robert G. Bartle, Donald R. Sherbert
出版情報: Hoboken, NJ : Wiley, c2011  xiii, 402 p. ; 26 cm
所蔵情報: loading…
目次情報: 続きを見る
Preliminaries / Chapter 1：
Sets and Functions / 1.1：
Mathematical Induction / 1.2：
Finite and Infinite Sets / 1.3：
The Real Numbers / Chapter 2：
The Algebraic and Order Properties of R / 2.1：
Absolute Value and the Real Line / 2.2：
The Completeness Property of R / 2.3：
Applications of the Supremum Property / 2.4：
Intervals / 2.5：
Sequences and Series / Chapter 3：
Sequences and Their Limits / 3.1：
Limit Theorems / 3.2：
Monotone Sequences / 3.3：
Subsequences and the Bolzano-Weierstrass Theorem / 3.4：
The Cauchy Criterion / 3.5：
Properly Divergent Sequences / 3.6：
Introduction to Infinite Series / 3.7：
Limits / Chapter 4：
Limits of Functions / 4.1：
Some Extensions of the Limit Concept / 4.2：
Continuous Functions / Chapter 5：
Combinations of Continuous Functions / 5.1：
Continuous Functions on Intervals / 5.3：
Uniform Continuity / 5.4：
Continuity and Gauges / 5.5：
Monotone and Inverse Functions / 5.6：
Differentiation / Chapter 6：
The Derivative / 6.1：
The Mean Value Theorem / 6.2：
L'Hospital's Rules / 6.3：
Taylor's Theorem / 6.4：
The Riemann Integral / Chapter 7：
Riemann Integral / 7.1：
Riemann Integrable Functions / 7.2：
The Fundamental Theorem / 7.3：
The Darboux Integral / 7.4：
Approximate Integration / 7.5：
Sequences of Functions / Chapter 8：
Pointwise and Uniform Convergence / 8.1：
Interchange of Limits / 8.2：
The Exponential and Logarithmic Functions / 8.3：
The Trigonometric Functions / 8.4：
Infinite Series / Chapter 9：
Absolute Convergence / 9.1：
Tests for Absolute Convergence / 9.2：
Tests for Nonabsolute Convergence / 9.3：
Series of Functions / 9.4：
The Generalized Riemann Integral / Chapter 10：
Definition and Main Properties / 10.1：
Improper and Lebesgue Integrals / 10.2：
Infinite Intervals / 10.3：
Convergence Theorems / 10.4：
A Glimpse into Topology / Chapter 11：
Open and Closed Sets in R / 11.1：
Compact Sets / 11.2：
Metric Spaces / 11.3：
Logic and Proofs / Appendix A：
Finite and Countable Sets / Appendix B：
The Riemann and Lebesgue Criteria / Appendix C：
Two Examples / Appendix D：
References
Photo Credits
Hints for Selected Exercises
Index
Preliminaries / Chapter 1：
Sets and Functions / 1.1：
Mathematical Induction / 1.2：
8.

図書
図書
8. Convexity : an analytic viewpoint
Barry Simon
出版情報: Cambridge : Cambridge University Press, 2011  ix, 345 p. ; 24 cm
シリーズ名: Cambridge tracts in mathematics ; 187
所蔵情報: loading…
目次情報: 続きを見る
Preface
Convex functions and sets / 1：
Orlicz spaces / 2：
Gauges and locally convex spaces / 3：
Separation theorems / 4：
Duality: dual topologies, bipolar sets, and Legendre transforms / 5：
Monotone and convex matrix functions / 6：
Loewner's theorem: a first proof / 7：
Extreme points and the Krein-Milman theorem / 8：
The Strong Krein-Milman theorem / 9：
Choquet theory: existence / 10：
Choquet theory: uniqueness / 11：
Complex interpolation / 12：
The Brunn-Minkowski inequalities and log concave functions / 13：
Rearrangement inequalities, I. Brascamp-Lieb-Luttinger inequalities / 14：
Rearrangement inequalities, II. Majorization / 15：
The relative entropy / 16：
Notes / 17：
References
Author index
Subject index
Preface
Convex functions and sets / 1：
Orlicz spaces / 2：
9.

図書
図書
9. A course in abstract harmonic analysis. 2nd ed
Gerald B. Folland
出版情報: Boca Raton : CRC Press, c2016  xiii, 305 p. ; 24 cm
シリーズ名: Textbooks in mathematics / series editor, Denny Gulick
A Chapman & Hall book
所蔵情報: loading…
文献の複写および貸借の依頼を行う
 文献複写・貸借依頼