| 000 -LEADER |
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| fixed length control field |
01662 a2200217 4500 |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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| control field |
20240424165211.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
240424b ||||| |||| 00| 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| ISBN |
9780387948416 |
| 041 ## - LANGUAGE CODE |
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| Language code of text/sound track or separate title |
eng |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Classification number |
515.8 LAN/U |
| 100 ## - MAIN ENTRY--AUTHOR NAME |
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| Personal name |
Lang, Serge |
| 245 ## - TITLE STATEMENT |
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| Title |
Undergraduate Analysis |
| 250 ## - EDITION STATEMENT |
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| Edition statement |
2nd ed. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
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| Name of publisher |
Springer -- |
| Year of publication |
2010 |
| Place of publication |
United States of America -- |
| 300 ## - PHYSICAL DESCRIPTION |
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| Number of Pages |
xv, 642p. |
| 500 ## - GENERAL NOTE |
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| General note |
Part One - Review of Calculus.<br/><br/>0 Sets and Mappings.<br/><br/>I Real Numbers.<br/><br/>II Limits and Continuous Functions. <br/><br/>III Differentiation. <br/><br/>IV Elementary Functions. <br/><br/>V The Elementary Real Integral.<br/><br/>Part Two - Convergence. <br/><br/>VI Normed Vector Spaces.<br/><br/>VII Limits.<br/><br/>VIII Compactness.<br/><br/>IX Series.<br/><br/>X The Integral in One Variable.<br/><br/>Part Three - Applications of the Integral. <br/><br/>XI Approximation with Convolutions.<br/><br/>XII Fourier Series.<br/><br/>XIII Improper Integrals. <br/><br/>XIV The Fourier Integral. <br/><br/>Part Four - Calculus in Vector Spaces.<br/><br/>XV Functions on n-Space.<br/><br/>XVI The Winding Number and Global Potential Functions.<br/><br/>XVII Derivatives in Vector Spaces.<br/><br/>XVIII Inverse Mapping Theorem.<br/><br/>XIX Ordinary Differential Equations.<br/><br/>Part Five - Multiple Integration.<br/><br/>XX Multiple Integrals.<br/><br/>XXI Differential Forms. |
| 520 ## - SUMMARY, ETC. |
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| Summary, etc |
<br/>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. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical Term |
Mathematics |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical Term |
Real variable |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
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| Koha item type |
Book |
