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 Infinitesimal Analysis and Its Appl

Franklin, Philip

ISBN 10: 048680707X / ISBN 13: 9780486807072

Editore: Dover Pubns, 2016

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reissue edition. 595 pages. 9.00x6.00x1.50 inches. In Stock.

Codice articolo 048680707X

Dati bibliografici

• Titolo: 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 Infinitesimal Analysis and Its Appl
• Editore: Dover Pubns
• Data di pubblicazione: 2016
• Lingua: Inglese
• ISBN 10: 048680707X
• ISBN 13: 9780486807072
• Rilegatura: Paperback
• Condizione: Brand New
• Peso: 0,83 chilogrammi

Descrizione articolo

Riassunto

"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.

Informazioni sull?autore

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.