●Prethce to the Second Edition
●Preface to the First Edition
●1 Elementary Propertles
●1.1 Basic Properties of Power Series
●1.2 Analytic Continuation
●1.3 The Formula of Faa di Bruno
●1.4 Composition of ReaI Analytic Functions
●1.5 Inverse Functions
●2 Multivariable Calculus of ReaI Analytic Functions
●2.1 Power Series in Several Variables
●2.2 ReaI Analytic Functions of SeveraI Variables
●2.3 Thelmplicit Function Theorem
●2.4A Spe Case of the Cauchy-Kowalewsky Theorem
●2.5 The lnverse Function Theorem
●2.6Topologies on the Space of Real Analytic Functions
●2.7 ReaI Analytic Submarufolds
●2.7.1Bundles over a Real Analytic Submanifold
●2.8 The GeneraI Cauchy-Kowalewsky Theorem
●3 ClassicaI Toplcs
●3.0 Introductory Remarks......
內容簡介
《實解析函數入門(第2版)(英文)》主要內容包括:The subject of real analytic functions is one of the oldest in mathematical analysis. Today it is encountered early in one's mathematical training: the first taste usually comes rn calculus. While most working ......