Language:Chinese.Pages Number: 341 Publisher: Shanghai Jiaotong University Pub. Date :2011-08-01 version 1. Methods of Mathematical Physics as Engineering Mathematics series of curriculum materials. including complex function. Equations of mathematical physics. points transform three. Book is divided into 12 chapters. including: the plural and complex function; analytic functions; complex function of the integral; series expansions of analytic functions; residues and their applications; confo.

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Bibliographic Details

Title: Methods of Mathematical Physics (public teaching materials engineering mathematics)(Chinese Edition)
ISBN 10: 7313076142
ISBN 13: 9787313076144
Binding: paperback
Condition: New

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Synopsis

《数学物理方法》力图在教学内容的组合及教学重点的选择方面有新的突破，优化调整原教材的部分内容，编排体系上突破原有框架。如：将积分变换应用独立成章，详细介绍其在求解常微分方程的定解问题及数学物理方程定解问题中的应用。课程内容按照由浅入深、由具体到抽象、由特殊到一般的原则来组织，对重点知识注重理论导出、方法的应用，强调其应用条件。既保持了数学教材传统的严谨，又针对数学物理方法强调计算与应用的特点，将数学训练与生动的物理意义相结合，加强计算，强调应用。在保证数学知识严密性的基础上，减少部分繁琐的理论推导。第1篇复变函数第1章复数和复变函数1.1复数及其表示1.1.1复数的定义1.1.2复数的表示1.2复数的运算及其几何意义1.2.1复数的四则运算1.2.2复数的乘方和方根1.2.3共轭复数及其性质1.2.4曲线的复数方程1.3平面点集和区域1.3.1复平面上的点集1.3.2区域与简单曲线1.4复变函数1.4.1复变函数的概念1.4.2曲线在映射下的像1.5复球面与无穷远点1.5.1复球面1.5.2扩充复平面上的几个概念习题1第2章解析函数第3章复变函数的积分第4章解析函数的级数展开第5章留数及其应用第6章保角映射第2篇数学物理方程第7章数学物理方程的导出及定解问题第8章求解数学物理方程的分离变量法第9章数学物理方程的初值问题第3篇积分变换第10章傅里叶变换第11章拉普拉斯变换第12章积分变换的应用习题答案附录

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