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A Treatise on Advanced Calculus, Including Those Parts of the Theory of Functions of Real and Complex Variables Which Form the Logical Basis of the

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A Treatise on Advanced Calculus, Including Those Parts of the Theory of Functions of Real and Complex Variables Which Form the Logical Basis of the image
ISBN-10:

1124075690

ISBN-13:

9781124075693

Author(s): Franklin, Philip
Edition: First Edition
Released: Jan 01, 1940
Publisher: J. Wiley & sons, inc. : Chapman & Hall
Format: Hardcover, 595 pages
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Description:

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.

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