Complex Variables and Applications

本書初版於20世紀40年代，是經典的本科數學教材之一，對複變函數的教學影響深遠，被美國加州理工學院、加州大學伯克利分校、佐治亞理工學院，普度大學、達特茅斯學院、南加州大學等眾多名校採用。本書闡述了複變函數的理論及應用，還介紹了留數及保形映射理論在物理、流體及熱傳導等邊值問題中的應用。新版對原有內容進行了重新組織，增加了例題和圖、更加方便教學。

The first part of the volume contains a comprehensive description of the theory of entire and meromorphic functions of one complex variable and its applications. It includes the fundamental notions,me

The recent advancements，new results and applications of complex analysis and p-adic analysis are rather extensive．In this book，the focus centers on those topics which pertain to two intrinsic properti

Linear algebra permeates mathematics,perhaps more so than any other single subject.It plays an essential role in pure and applied mathematics,statistics,computer science,and many aspects of physics and engineering.This book conveys in a user-friendly way the basic and advanced techniques of linear algebra from the point of view of a working analyst.The techniques are illustrated by a wide sample of applications and examples that are chosen to highlight the tools of the trade.In short,this is material that many of us wish we had been taught as graduate students.Roughly the first third of the book covers the basic material of a first course in linear algebra.The remaining chapters are devoted to applications drawn from vector calculus,numerical analysis,control theory,complex analysis,convexity and functional analysis.In particular,fixed point theorems,extremal problems,matrix equations,zero location and eigenvalue location problems,and matrices with nonnegative entries are discussed.App