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Field name	Details
Dewey Class	515.73
Title	A Primer of Real Analytic Functions ([EBook]) / by Steven G. Krantz, Harold R. Parks.
Author	Krantz, Steven George , 1951-
Added Personal Name	Parks, Harold R.
Other name(s)	SpringerLink (Online service)
Publication	Basel : Birkhäuser , 1992.
Physical Details	X, 184 pages : online resource.
Series	Basler Lehrbücher, A Series of Advanced Textbooks in Mathematics
ISBN	9783034876445
Summary Note	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.:
Contents note	1. Elementary Properties -- 2. Classical Topics -- 3. Some Questions of Hard Analysis -- 4. Results Motivated by Partial Differential Equations -- 5. Topics in Geometry.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-3-0348-7644-5
Links to Related Works	Subject References: Science . Science, general . Authors: author . Krantz, Steven George 1951- . Parks, Harold R. . Corporate Authors: SpringerLink (Online service) . Series: Basler Lehrbücher, A Series of Advanced Textbooks in Mathematics . Classification: 515.73 . 515.73 (DDC 20) .

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A Primer of Real Analytic Functions

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