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Book Review: A Primer of Real Analytic Functions

Book Review: A Primer of Real Analytic Functions Acta Applicandae Mathematicae 80: 363, 2004. Book Review Steven G. Krantz and Harold R. Parks, A Primer of Real Analytic Functions, Birkhäuser Advanced Texts, Birkhäuser-Verlag, Boston, 2002, xii+205 pp., ISBN: 0-8175-4264-1 Complex analytic functions of one or several complex variables are presented in a lot of books, at introductory level and at advanced as well. Their older and poorer relatives – the real analytic functions – having totally different features, found their first book treatment in the first edition of the present book, published by Birkhäuser in 1992. Real analytic functions are an essential tool in the study of embedding problem for real analytic manifolds. They have also applications in PDEs and in other areas of analysis. With respect to the first edition, beside the revision of the presentation, some new material on topologies on spaces of real analytic functions and on the Weier- strass preparation theorem, has been added. The basic results on real analytic functions are presented in the first two chap- ters: Chapter 1, Elementary properties,and Chapter 2, Multivariable calculus of real analytic functions, including implicit and inverse function theorems, Cauchy– Kowalewski theorem. Chapters 3, Classical topics and 4, Some questions in hard analysis, contain more http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Applicandae Mathematicae Springer Journals

Book Review: A Primer of Real Analytic Functions

Cobzaş, Stefan
Acta Applicandae Mathematicae , Volume 80 (3) – Oct 5, 2004
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Book Review: A Primer of Real Analytic Functions

Abstract

Acta Applicandae Mathematicae 80: 363, 2004. Book Review Steven G. Krantz and Harold R. Parks, A Primer of Real Analytic Functions, Birkhäuser Advanced Texts, Birkhäuser-Verlag, Boston, 2002, xii+205 pp., ISBN: 0-8175-4264-1 Complex analytic functions of one or several complex variables are presented in a lot of books, at introductory level and at advanced as well. Their older and poorer relatives – the real analytic functions – having totally different features, found...
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Publisher
Springer Journals
Copyright
Copyright © 2004 by Kluwer Academic Publishers
Subject
Mathematics; Mathematics, general; Computer Science, general; Theoretical, Mathematical and Computational Physics; Complex Systems; Classical Mechanics
ISSN
0167-8019
eISSN
1572-9036
DOI
10.1023/B:ACAP.0000018810.66606.07
Publisher site
See Article on Publisher Site

Abstract

Acta Applicandae Mathematicae 80: 363, 2004. Book Review Steven G. Krantz and Harold R. Parks, A Primer of Real Analytic Functions, Birkhäuser Advanced Texts, Birkhäuser-Verlag, Boston, 2002, xii+205 pp., ISBN: 0-8175-4264-1 Complex analytic functions of one or several complex variables are presented in a lot of books, at introductory level and at advanced as well. Their older and poorer relatives – the real analytic functions – having totally different features, found their first book treatment in the first edition of the present book, published by Birkhäuser in 1992. Real analytic functions are an essential tool in the study of embedding problem for real analytic manifolds. They have also applications in PDEs and in other areas of analysis. With respect to the first edition, beside the revision of the presentation, some new material on topologies on spaces of real analytic functions and on the Weier- strass preparation theorem, has been added. The basic results on real analytic functions are presented in the first two chap- ters: Chapter 1, Elementary properties,and Chapter 2, Multivariable calculus of real analytic functions, including implicit and inverse function theorems, Cauchy– Kowalewski theorem. Chapters 3, Classical topics and 4, Some questions in hard analysis, contain more

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Acta Applicandae Mathematicae – Springer Journals

Published: Oct 5, 2004

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