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.

Edition details

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