Undergraduate Analysis / (Record no. 23229)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 02355cam a2200253 a 4500 |
| 001 - CONTROL NUMBER | |
| control field | vtls000001673 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | VRT |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20250102224908.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 081108s1997 nyua | 001 0 eng |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 0387948414 (hardcover : alk. paper) |
| 039 #9 - LEVEL OF BIBLIOGRAPHIC CONTROL AND CODING DETAIL [OBSOLETE] | |
| Level of rules in bibliographic description | 201402040100 |
| Level of effort used to assign nonsubject heading access points | VLOAD |
| Level of effort used to assign subject headings | 201007251143 |
| Level of effort used to assign classification | malmash |
| Level of effort used to assign subject headings | 200811091056 |
| Level of effort used to assign classification | venkatrajand |
| Level of effort used to assign subject headings | 200811081339 |
| Level of effort used to assign classification | Noora |
| -- | 200811081338 |
| -- | Noora |
| 050 00 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | QA300 |
| Item number | .L278 1997 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Lang, Serge, |
| Dates associated with a name | 1927-2005. |
| 9 (RLIN) | 1190 |
| 245 10 - TITLE STATEMENT | |
| Title | Undergraduate Analysis / |
| Statement of responsibility, etc. | Serge Lang. |
| 250 ## - EDITION STATEMENT | |
| Edition statement | 2nd ed. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. | |
| Place of publication, distribution, etc. | New York : |
| Name of publisher, distributor, etc. | Springer, |
| Date of publication, distribution, etc. | 1997. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | xv, 642 p. : |
| Other physical details | ill. ; |
| Dimensions | 25 cm. |
| 440 #0 - SERIES STATEMENT/ADDED ENTRY--TITLE | |
| Title | Undergraduate texts in mathematics |
| 9 (RLIN) | 1191 |
| 500 ## - GENERAL NOTE | |
| General note | Includes index. |
| 505 ## - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Review of Calculus: Sets and Mappings. Real Numbers. Limits and Continuous Functions. Differentiation. Elementary Functions. The Elementary Real Integral.- Convergence: Normed Vector Spaces. Limits. Compactness. Series. The Integral in One Variable.- Applications of the Integral: Fourier Series. Improper Integrals. The Fourier Integral.- Calculus in Vector Spaces: Function on n-Space. The Winding Number and Global Potential Functions. Derivatives in Vector Spaces. Inverse Mapping Theorem. Ordinary Differential Equations.- Multiple Integration: Multiple Integrals. Differential Forms.- Appendix.- Index. |
| 520 ## - SUMMARY, ETC. | |
| 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. In this second edition, the author has added a new chapter on locally integrable vector fields, has rewritten many sections and expanded others. There are new sections on heat kernels in the context of Dirac families and on the completion of normed vector spaces. A proof of the fundamental lemma of Lebesgue integration is included, in addition to many interesting exercises. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Mathematical analysis. |
| 9 (RLIN) | 4699 |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Source of classification or shelving scheme | Library of Congress Classification |
| Suppress in OPAC | No |
| Koha item type | Books |
| Withdrawn status | Lost status | Source of classification or shelving scheme | Damaged status | Not for loan | Home library | Current library | Shelving location | Date acquired | Total checkouts | Full call number | Barcode | Date last seen | Copy number | Price effective from | Koha item type |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Library of Congress Classification | Library | Library | First Floor | 21/12/2024 | QA300 .L278 1997 | 8742 | 21/12/2024 | 1 | 21/12/2024 | Books |