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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Titolo

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

Editore

Birkh�user Verlag, Basel, Boston & Berlin

Data di pubblicazione

1992

Lingua

Inglese

ISBN 10

3764327685

ISBN 13

9783764327682

Rilegatura

Original Boards

Edizione

First Edition.

Condizione

Near Fine

Condizione della sovraccoperta

No Dust Jacket

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Descrizione articolo

Riassunto

The subject of real analytic functions is one of the oldest in mathe� matical analysis. Today it is encountered early in ones mathematical training: the first taste usually comes in calculus. While most work� ing mathematicians use real analytic functions from time to time in their work, the vast lore of real analytic functions remains obscure and buried in the literature. It is remarkable that the most accessible treatment of Puiseux's theorem is in Lefschetz's quite old Algebraic Geometry, that the clearest discussion of resolution of singularities for real analytic manifolds is in a book review by Michael Atiyah, that there is no comprehensive discussion in print of the embedding prob� lem for real analytic manifolds. We have had occasion in our collaborative research to become ac� quainted with both the history and the scope of the theory of real analytic functions. It seems both appropriate and timely for us to gather together this information in a single volume. The material presented here is of three kinds. The elementary topics, covered in Chapter 1, are presented in great detail. Even results like a real ana� lytic inverse function theorem are difficult to find in the literature, and we take pains here to present such topics carefully. Topics of middling difficulty, such as separate real analyticity, Puiseux series, the FBI transform, and related ideas (Chapters 2-4), are covered thoroughly but rather more briskly.

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