Overview
- Authors:
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Steven G. Krantz
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Department of Mathematics, Washington University, St. Louis, USA
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Harold R. Parks
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Department of Mathematics, Oregon State University, Corvallis, USA
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Table of contents (5 chapters)
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- Steven G. Krantz, Harold R. Parks
Pages 1-47
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- Steven G. Krantz, Harold R. Parks
Pages 49-65
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- Steven G. Krantz, Harold R. Parks
Pages 67-101
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- Steven G. Krantz, Harold R. Parks
Pages 103-140
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- Steven G. Krantz, Harold R. Parks
Pages 141-176
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Back Matter
Pages 177-184
About this book
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.
Authors and Affiliations
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Department of Mathematics, Washington University, St. Louis, USA
Steven G. Krantz
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Department of Mathematics, Oregon State University, Corvallis, USA
Harold R. Parks
