Guide To Real Variables, 1/e(English, Paperback, Steven G. Krantz)

Know about the book -

Guide To Real Variables, 1/e(English, Paperback, Steven G. Krantz) is written by Steven G. Krantz and published by Cambridge University Press. It's available with International Standard Book Number or ISBN identification 0883853442 (ISBN 10) and 9780883853443 (ISBN 13).

The purpose of A Guide to Real Variables is to provide an aid and conceptual support for the student studying for the qualifying exam in real variables. Beginning with the foundations of the subject, the text moves rapidly but thoroughly through basic topics like completeness, convergence, sequences, series, compactness, topology and the like. All the basic examples like the Cantor set, the Weierstrass nowhere differentiable function, the Weierstrass approximation theory, the Baire category theorem, and the Ascoli-Arzela theorem are treated. The book contains over 100 examples, and most of the basic proofs. It illustrates both the theory and the practice of this sophisticated subject. Graduate students studying for the qualifying exams will find this book to be a concise, focused and informative resource. Professional mathematicians who need a quick review of the subject, or need a place to look up a key fact, will find this book to be a useful resource too.