A Primer of Real Analytic Functions - Birkhauser Advanced Texts / Basler Lehrbucher (Hardback)
  • A Primer of Real Analytic Functions - Birkhauser Advanced Texts / Basler Lehrbucher (Hardback)

A Primer of Real Analytic Functions - Birkhauser Advanced Texts / Basler Lehrbucher (Hardback)

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Hardback 209 Pages / Published: 27/06/2002
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Key topics in the theory of real analytic functions are covered in this text,and are rather difficult to pry out of the mathematics literature.; This expanded and updated 2nd ed. will be published out of Boston in Birkhauser Adavaned Texts series.; Many historical remarks, examples, references and an excellent index should encourage the reader study this valuable and exciting theory.; Superior advanced textbook or monograph for a graduate course or seminars on real analytic functions.; New to the second edition a revised and comprehensive treatment of the Faa de Bruno formula, topologies on the space of real analytic functions,; alternative characterizations of real analytic functions, surjectivity of partial differential operators, And the Weierstrass preparation theorem.

Publisher: Birkhauser Boston Inc
ISBN: 9780817642648
Number of pages: 209
Weight: 1100 g
Dimensions: 235 x 155 x 14 mm
Edition: 2nd ed. 2002


"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."


"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."


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