Dealing chiefly with functions of a single real variable, this text is geared toward advanced undergraduates and graduate students. It features the topics usually discussed in a rigorous first course in analysis: limits, continuity, differentiability, integration, convergence of infinite series, doub... read more
Customers who bought this book also bought:
Our Editors also recommend:
Elementary Functional Analysis by Georgi E. Shilov Introductory text covers basic structures of mathematical analysis (linear spaces, metric spaces, normed linear spaces, etc.), differential equations, orthogonal expansions, Fourier transforms, and more. Includes problems with hints and answers. Bibliography. 1974 edition.
Foundations of Mathematical Analysis by Richard Johnsonbaugh, W.E. Pfaffenberger Definitive look at modern analysis, with views of applications to statistics, numerical analysis, Fourier series, differential equations, mathematical analysis, and functional analysis. More than 750 exercises; some hints and solutions. 1981 edition.
Complex Analysis with Applications by Richard A. Silverman The basics of what every scientist and engineer should know, from complex numbers, limits in the complex plane, and complex functions to Cauchy's theory, power series, and applications of residues. 1974 edition.
Foundations of Modern Analysis by Avner Friedman Measure and integration, metric spaces, the elements of functional analysis in Banach spaces, and spectral theory in Hilbert spaces — all in a single study. Detailed analyses. Problems. Bibliography. Index.
Dealing chiefly with functions of a single real variable, this text is geared toward advanced undergraduates and graduate students. It features the topics usually discussed in a rigorous first course in analysis: limits, continuity, differentiability, integration, convergence of infinite series, double series, and infinite products. No previous knowledge of calculus is assumed. A distinguished educator and researcher, author Robert A. Rankin wrote many influential papers on number theory and the theory of functions. This text is the product of countless lectures over a two-decade period to students at the Universities of Cambridge, Birmingham, and Glasgow. The author's experience as an instructor prompted his inclusion of numerous examples at the end of nearly every section. In addition to testing understanding of preceding theories and providing practice in carrying out techniques, the examples encourage imaginative thinking. Those marked with an asterisk feature hints for solution.
This book was printed in the United States of America.
Dover books are made to last a lifetime. Our US book-manufacturing partners produce the highest quality books in the world and they create jobs for our fellow citizens. Manufacturing in the United States also ensures that our books are printed in an environmentally friendly fashion, on paper sourced from responsibly managed forests.