| A Treatise on Advanced Calculus Contributor(s): Franklin, Philip (Author) |
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ISBN: 048680707X ISBN-13: 9780486807072 Publisher: Dover Publications OUR PRICE: $31.46 Product Type: Paperback Published: August 2016 |
| Additional Information |
| BISAC Categories: - Mathematics | Calculus |
| Dewey: 515 |
| LCCN: 2016003820 |
| Series: Dover Books on Mathematics |
| Physical Information: 1.3" H x 6" W x 8.9" (1.80 lbs) 608 pages |
| Descriptions, Reviews, Etc. |
| Publisher 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. More than 600 problems amplify the text. |