Parks – författare

Offering significantly more comprehensive and inclusive coverage than similar anthologies, American Short Stories Since 1945 features over seventy short stories written between 1945 and the present. Editor John Parks annotates terms, allusions, and references with which students may be unfamiliar. He also provides brief biographies of the authors and an introductory chapter tracing developments in the short story form in the U.S. since World War II.

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.