偏微分方程解析方法

《偏微分方程解析方法》是世界图书出版公司2就动喜族004年出版的图书，由G. Evans ( )J. 来自Blackledge ( )P. Yardley编著。

• 书名 偏微分方程解析方法
• 出版社 世界图书出版公司
• 出版时间 2004年04月
• ISBN 7506266148

基本信息

　　作者:( )G. Evans ( )J. Blackledge ( )P. Yardley

　　出版社:世界图书出版公司

　　出版日期:2004-04

　　ISBN:7506266148

　　版次:1

　　页数:12,299页

来自　　开本:大32开

　　包装:平装

编辑推荐

　　The subject 满剂般轴早培事叫of partial diff360百科erential equ黄浓配既钟ations holds an exciting and special position in mathematics. Partial differential equations were not consciously created as a subject but emerged in the 18th century as ordinary differential equations failed to describe the physical prin杆范等评ciples being 呼拉由简答调studied. The subject was originally developed by the major names 直凯对女探他销事景蛋of mathematics, in particular, Leonard Euler and Joseph-Louis Lagrange who studied waves on strings; Daniel Bernoulli and Euler who considered potential theory, with later developments by Adrien-Marie Legendre and Pierre-Simon Laplace; and Joseph Fourier's famous work on series expan得承味风攻爱对引误双sions for the heat equation.

内容简介

　　The subject of partial differential equations holds an exciting and special p社留知镇规父触打种osition in mat参杂银言hematics. Partial differential equations were not co信nsciously created as a subject 来自but emerged in the 18th century as ordi除厚岁武职十裂反触离采nary differential equations failed to describe the physical principles being studied. The subjec未请等厚马四队满宁新t was originally developed by the major names of mathematics, in particular, Leonard Euler and Joseph-Louis Lagrange who studied waves on strings; Daniel Bernoulli and Euler who considered po

作者简介

　　姓名:360百科( )G. Evans ( )J. Blackledge ( )P. Yardley

　　作品:《偏微分方程解析方法的长督术界》

目录

　　1. Mathematical Preliminaries

　　1.1 Introduction

　　1.2 Characteristics and Classification

　　1.3 Orthogonal Functions

　　1.4 Sturm-Liouville Boundary Value Problems

　　1.5 Legendre Polynomials

　　1.6 Bessel Functions

　　1千反拿约冲养浓答立内早.7 Results fr概鲁袁绿开圆间所局om Complex Analysis

　　1.8 Generalised Functions and the Delta Function

　　1.8.1 Definition and Proper神意距夫文滑满曾算价响ties of a Generalised Function

　　1.8.2 Differentiation Across Discontinuities

　　1.8.3 The Fourier Transform of Generalised Functions

　　1.8.4 Convolution of Generalised Functions

　　1.8.5 The Discrete R协硫日epresentation of the Delta Function

　　2. Separation of the Variables

　　2.1 Introduction

　　2.2 The Wave Equation

　　2.3 The Hea越身生t Equation

　　2.4 Laplace''s Equat更跳元又考剂织素易ion

　　2.5 Ho断纪振责陈mogeneous and N由角略on-homogeneou更精尔仅取家互s Boundary Conditions

　　2.6 步品Separation of variables in 结other coordinate systems

　　3. First-order Equations and Hyperbolic Second-order Equ非种院反ations

　　3.1 Introduction

　　3.2 First-order equations

　　3.3 Introduction to d''Alembert''s Method

　　3.4 d''Alembert''s General Solutio