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

Krantz, Steven G. & Harold Parks

ISBN 10: 3764327685 / ISBN 13: 9783764327682

Editore: Birkhäuser Verlag, Basel, Boston & Berlin, 1992

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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. Codice articolo LCH47262

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Titolo: A Primer of Real Analytic Functions (Basler ...

Casa editrice: Birkhäuser Verlag, Basel, Boston & Berlin

Data di pubblicazione: 1992

Legatura: Original Boards

Condizione: Near Fine

Condizione sovraccoperta: No Dust Jacket

Edizione: First Edition.

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.