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02037nam a2200205Ia 4500 |
| 003 - CONTROL NUMBER IDENTIFIER |
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| control field |
OSt |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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| control field |
20241107110648.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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170804s2017 xx 000 0 und d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
978-1-4704-1100-8 |
| 040 ## - CATALOGING SOURCE |
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| Original cataloging agency |
ICTS-TIFR |
| 050 ## - LIBRARY OF CONGRESS CALL NUMBER |
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| Classification number |
QA300 |
| 100 ## - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
Barry Simon |
| 245 ## - TITLE STATEMENT |
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| Title |
Basic complex analysis |
| Remainder of title |
: a comprehensive course in analysis, part 2A |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. |
|---|
| Name of publisher, distributor, etc. |
American Mathematical Society, |
| Date of publication, distribution, etc. |
[c2015] |
| Place of publication, distribution, etc. |
Rhode Island: |
| 300 ## - Physical Description |
|---|
| Pages: |
641 p |
| 505 ## - FORMATTED CONTENTS NOTE |
|---|
| Formatted contents note |
Chapter 1. Preliminaries<br/>Chapter 2. The Cauchy integral theorem: Basics<br/>Chapter 3. Consequences of the Cauchy integral formula<br/>Chapter 4. Chains and the ultimate Cauchy integral theorem<br/>Chapter 5. More consequences of the CIT<br/>Chapter 6. Spaces of analytic functions<br/>Chapter 7. Fractional linear transformations<br/>Chapter 8. Conformal maps<br/>Chapter 9. Zeros of analytic functions and product formulae<br/>Chapter 10. Elliptic functions<br/>Chapter 11. Selected additional topics |
| 520 ## - SUMMARY, ETC. |
|---|
| Summary, etc. |
Part 2A is devoted to basic complex analysis. It interweaves three analytic threads associated with Cauchy, Riemann, and Weierstrass, respectively. Cauchy's view focuses on the differential and integral calculus of functions of a complex variable, with the key topics being the Cauchy integral formula and contour integration. For Riemann, the geometry of the complex plane is central, with key topics being fractional linear transformations and conformal mapping. For Weierstrass, the power series is king, with key topics being spaces of analytic functions, the product formulas of Weierstrass and Hadamard, and the Weierstrass theory of elliptic functions. Subjects in this volume that are often missing in other texts include the Cauchy integral theorem when the contour is the boundary of a Jordan region, continued fractions, two proofs of the big Picard theorem, the uniformization theorem, Ahlfors's function, the sheaf of analytic germs, and Jacobi, as well as Weierstrass, elliptic functions. --- summary provided by publisher |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name entry element |
Mathematics |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
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| Source of classification or shelving scheme |
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| Koha item type |
Book |
