With diagrams. Former owner's name on front pastedown. Light shelfwear only. Aside from former owner's name in as new condition. ; Quarto; x, 184 pages.

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Bibliographic Details

Title

A Primer of Real Analytic Functions (Basler Lehrb�cher. a Series of Advanced Textbooks in Mathematics Vol. 4)

Publisher

Birkh�user Verlag, Basel, Boston & Berlin

Publication Date

1992

Language

English

ISBN 10

3764327685

ISBN 13

9783764327682

Binding

Original Boards

Edition

First Edition.

Condition

Near Fine

Dust Jacket Condition

No Dust Jacket

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About this title

Synopsis

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 Birkh�user 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 Fa� 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.

Review

"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

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