A Treatise on Advanced Calculus (Dover Books on Mathematics) - Softcover

Franklin, Philip

Softcover

ISBN 10: 048680707X ISBN 13: 9780486807072

Publisher: Dover Publications, 2016

Synopsis

"This book is a valuable contribution to the field of advanced calculus. It definitely bridges the gap between formal elementary work and the exacting rigor of modern analysis ... it would be difficult to find better exposition at this level." ― American Mathematical Monthly
This classic book offers a comprehensive logical treatment of the theory of calculus and related topics. Suitable for advanced undergraduates and graduate students in mathematics, it provides students with a substantial base for graduate work in physics by concentrating on theory rather than on techniques and applications.
Topics include real numbers; limits of functions; exponential, logarithmic, and trigonometric functions; differentiation; complex numbers; integration; integrable functions; extensions and applications of integration; infinite series and infinite products; partial differentiation; multiple integration; sequences of functions; functions of complex variables; Fourier series and integrals; differential functions; and the Gamma function and other definite integrals. More than 600 problems amplify the text.

About this title

About the Author:

Philip Franklin (1898 - 1965) was a prominent American mathematician who specialized in analysis. He taught at MIT from the 1920s until his retirement in 1964.

About this edition

• Publisher: Dover Publications
• Publication date: 2016
• ISBN 10: 048680707X
• ISBN 13: 9780486807072
• Binding: Paperback
• Number of pages: 608