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| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
140323b1997 xxu||||| |||| 00| 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9788184896282 |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Classification number |
515.8 |
| 100 ## - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
Lang, Serge |
| 9 (RLIN) |
122869 |
| 245 ## - TITLE STATEMENT |
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| Title |
Undergraduate analysis |
| Statement of responsibility, etc. |
Lang, Serge |
| 250 ## - EDITION STATEMENT |
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| Edition statement |
2nd ed. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
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| Place of publication, distribution, etc. |
New Delhi |
| Name of publisher, distributor, etc. |
Springer |
| Date of publication, distribution, etc. |
1997 |
| -- |
183369 |
| 300 ## - PHYSICAL DESCRIPTION |
|---|
| Extent |
xv, 642 p. |
| 440 ## - SERIES STATEMENT/ADDED ENTRY--TITLE |
|---|
| Title |
Undergraduate texts in mathematics |
| 9 (RLIN) |
42885 |
| 500 ## - GENERAL NOTE |
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| General note |
Includes index. |
| 520 ## - SUMMARY, ETC. |
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| Summary, etc. |
This is a logically self-contained introduction to analysis, suitable for students who have had two years of calculus. The book centers around those properties that have to do with uniform convergence and uniform limits in the context of differentiation and integration. Topics discussed include the classical test for convergence of series, Fourier series, polynomial approximation, the Poisson kernel, the construction of harmonic functions on the disc, ordinary differential equation, curve integrals, derivatives in vector spaces, multiple integrals, and others. One of the author's main concerns is to achieve a balance between concrete examples and general theorems, augmented by a variety of interesting exercises. Some new material has been added in this second edition, for example: a new chapter on the global version of integration of locally integrable vector fields; a brief discussion of L1-Cauchy sequences, introducing students to the Lebesgue integral; more material on Dirac sequences and families, including a section on the heat kernel; a more systematic discussion of orders of magnitude; and a number of new exercises. (http://www.springer.com/mathematics/analysis/book/978-0-387-94841-6) |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Mathematical analysis |
| 9 (RLIN) |
661 |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
|---|
| Koha item type |
Books |
| 952 ## - LOCATION AND ITEM INFORMATION (KOHA) |
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| -- |
295.00 |
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INR |
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11/04/2012 |
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Recd. as gratis from Prof. Vineet Virmani |
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Gratis |
