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Treatise on Advanced Calculus

Philip Franklin



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17 August 2016
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.
By:   Philip Franklin
Imprint:   Dover
Country of Publication:   United States
Dimensions:   Height: 228mm,  Width: 152mm,  Spine: 33mm
Weight:   816g
ISBN:   9780486807072
ISBN 10:   048680707X
Pages:   608
Publication Date:   17 August 2016
Audience:   College/higher education ,  Further / Higher Education
Format:   Paperback
Publisher's Status:   Unspecified

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.

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