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A Treatise on Advanced Calculus by Philip Franklin

A Treatise on Advanced Calculus

by Philip Franklin
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Book cover type: Paperback
  • ISBN13: 9780486807072
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Dover Publications
  • Publisher Imprint: Dover Publications
  • Publication Date:
  • Pages: 608
  • Original Price: INR 3090.0
  • Language: English
  • Edition: N/A
  • Item Weight: 816 grams
  • BISAC Subject(s): Calculus

"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.

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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