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Table of contents (6 chapters)
Keywords
About this book
Reviews
"This is the second, improved edition of the only existing monograph devoted to real-analytic functions, whose theory is rightly considered in the preface 'the wellspring of mathematical analysis.' Organized in six parts, [with] a very rich bibliography and an index, this book is both a map of the subject and its history. Proceeding from the most elementary to the most advanced aspects, it is useful for both beginners and advanced researchers. Names such as Cauchy-Kowalewsky (Kovalevskaya), Weierstrass, Borel, Hadamard, Puiseux, Pringsheim, Besicovitch, Bernstein, Denjoy-Carleman, Paley-Wiener, Whitney, Gevrey, Lojasiewicz, Grauert and many others are involved either by their results or by their concepts."
—MATHEMATICAL REVIEWS
"Bringing together results scattered in various journals or books and presenting them in a clear and systematic manner, the book is of interest first of all for analysts, but also for applied mathematicians and researchers in real algebraic geometry."
—ACTA APPLICANDAE MATHEMATICAE
Authors and Affiliations
Bibliographic Information
Book Title: A Primer of Real Analytic Functions
Authors: Steven G. Krantz, Harold R. Parks
Series Title: Birkhäuser Advanced Texts Basler Lehrbücher
DOI: https://doi.org/10.1007/978-0-8176-8134-0
Publisher: Birkhäuser Boston, MA
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eBook Packages: Springer Book Archive
Copyright Information: Springer Science+Business Media New York 2002
Hardcover ISBN: 978-0-8176-4264-8Published: 27 June 2002
Softcover ISBN: 978-1-4612-6412-5Published: 07 September 2012
eBook ISBN: 978-0-8176-8134-0Published: 08 September 2012
Series ISSN: 1019-6242
Series E-ISSN: 2296-4894
Edition Number: 2
Number of Pages: XIII, 209
Topics: Analysis, Algebraic Geometry, Functions of a Complex Variable, Partial Differential Equations