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关键词：
Lectures on Partial Differential Equations
书目信息
ISBN：
9783540404484（13位）
中图分类号：
O1
杜威分类号：
中文译名：
偏微分方程讲义
作者：
Arnold
编者：
语种：
English
出版信息
出版社：
Springer
出版地：
出版年：
2004
版本：
版本类型：
原版
丛书题名：
Universitext
卷期：
文献信息
关键词：
Mathematics
前言：
摘要：
内容简介：
Like all of Vladimir Arnold's books, this book is full of geometric insight. Arnold illustrates every principle with a figure. This book aims to cover the most basic parts of the subject and confines itself largely to the Cauchy and Neumann problems for the classical linear equations of mathematical physics, especially Laplace's equation and the wave equation, although the heat equation and the Korteweg-de Vries equation are also discussed. Physical intuition is emphasized. A large number of problems are sprinkled throughout the book, and a full set of problems from examinations given in Moscow are included at the end. Some of these problems are quite challenging! What makes the book unique is Arnold's particular talent at holding a topic up for examination from a new and fresh perspective. He likes to blow away the fog of generality that obscures so much mathematical writing and reveal the essentially simple intuitive ideas underlying the subject. No other mathematical writer does this quite so well as Arnold.
目次：
Preface to the Second Russian Edition.- 1. The General Theory to one First-Order Equation.- 2. The General Theory to one First-Order Equation (Continued).- 3. Huygens' Principle in the Theory of Wave Propagation.- 4. The Vibrating String (d'Alembert's Method).- 5. The Fourier Method (for the Vibrating String).- 6. The Theory of Oscillations. The Variational Principle.- 7. The Theory of Oscillations. The Variational Principle (Continued).- 8. Properties of Harmonic Functions.- 9. The Fundamental Solution for the Laplacian. Potentials.- 10. The Double Layer Potential.- 11. Spherical Functions. Maxwell's Theorem. The Removable Singularities Theorem.- 12. Boundary Value Problems for Laplace's Equation. Theory of Linear Equations and Systems.- A. The Topological Content of Maxwell's Theorem on the Multifield Representation of Spherical Functions.- B. Problems.
附录：
全文链接：
读者对象：
grad.
实体信息
页码：
装帧：
soft
尺寸：
其它形态细节：
其它信息
原价：
EUR
39.9500
原版ISBN：
其它ISBN：
图书特色：
书评：
扩展信息
Isbn：
3540404481
issue：
2006JC01
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