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激波和反应扩散方程（第2版）

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激波和反应扩散方程（第2版）

最 低 价：￥63.20

定 价：￥79.00

作 者： 著

出 版 社：世界图书出版公司

出版时间：1999-03-01

I S B N：9787506241007

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    内容简介
    　　My main purpose in this book is to present a unified treatment of that part of measure theory which in recent years has shown itself to be most useful for its applications in modern analysis. If I have accomplished my purpose, then the book should be found usable both as a text for students and as a source of reference for the more advanced mathematician.
    　　I have tried to keep to a minimum the amount of new and unusual terminology and notation. In the few places where my nomenclature differs from that in the existing literature of measure theory, I was motivated by an attempt to harmonize with the usage of other parts of mathematics. There are, for instance, sound algebraic reasons for using the terms "lattice" and "ring" for certain classes of sets--reasons which are more cogent than the similarities that caused Hausdorff to use "ring" and "field."

    作者简介

    目录
    Acknowledgment
    Preface to the Second Edition
    Preface to the First Edition
    List of Frequently Used Symbols
    PART Ⅰ Basic Linear Theory
    CHAPTER 1 lll-Posed Problems
    CHAPTER 2 Characteristics and Initial-Value Problems
    CHAPTER 3 The One-Dimensional Wave Equation
    CHAPTER 4 Uniqueness and Energy Integrals
    CHAPTER 5 Holmgren's Uniqueness Theorem
    CHAPTER 6 An Initial-Value Problem for a Hyperbolic Equation
    CHAPTER 7 Distribution Theory
    CHAPTER 8 Second-Order Linear Elliptic Equations
    CHAPTER 9 Second-Order Linear Parabolic Equations

    PART ⅡReaction-Diffusion Equations
    CHAPTER 10 Comparison Theorems and Monotonicity Methods
    CHAPTER 11 Linearization
    CHAPTER 12 Topological Methods
    CHAPTER 13 Bifurcation Theory
    CHAPTER 14 Systems of Reaction-Diffusion Equations

    PART Ⅲ The Theory of Shock Waves
    CHAPTER 15 Discontinuous Solutions of Conservation Laws
    CHAPTER 16 The Single Conservation Law
    CHAPTER 17 The Riemann Problem for Systems ofConservation Laws
    CHAPTER 18 Applications to Gas Dynamics
    CHAPTER 19 The Glimm Difference Scheme
    CHAPTER 20 Riemann Invariants. Entropy. and Uniqueness
    CHAPTER 21 Quasi-Linear Parabolic Systems

    PART Ⅳ The Conley Index
    CHAPTER 22 The Conley Index
    CHAPTER 23 Index Pairs and the Continuation Theorem
    CHAPTER 24 Travelling Waves
    CHAPTER 25 Recent Results
    Bibliography
    Author Index
    Subject Index

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