Methods of Advanced Calculus

Science & Math

Franklin, Philip

Mathematics

McGraw-Hill Book Company, Inc.

Differential and integral calculus

Dover Publications

"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.

A Treatise on Advanced Calculus (Dover Books on Mathematics)

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 â€¦ 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.

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

J. Wiley & sons, inc. : Chapman & Hall

Many of the earliest books, particularly those dating back to the 1900s and before, are now extremely scarce and increasingly expensive. We are republishing these classic works in affordable, high quality, modern editions, using the original text and artwork.

Crawford Press

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