Complex Analysis (Record no. 13676)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 02898nmm a22002175i 4500 |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20230705150643.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 130107s1999 xxu| s |||| 0|eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9781475730838 |
| -- | 978-1-4757-3083-8 |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 515 |
| Edition number | 23 |
| 100 ## - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Lang, Serge. |
| 9 (RLIN) | 20771 |
| 245 ## - TITLE STATEMENT | |
| Title | Complex Analysis |
| Medium | [electronic resource] / |
| Statement of responsibility, etc. | by Serge Lang. |
| 250 ## - EDITION STATEMENT | |
| Edition statement | 4th ed. 1999. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. | |
| Place of publication, distribution, etc. | New York, NY : |
| Name of publisher, distributor, etc. | Springer New York : |
| -- | Imprint: Springer, |
| Date of publication, distribution, etc. | 1999. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | XIV, 489 p. 85 illus. |
| Other physical details | online resource. |
| 505 ## - FORMATTED CONTENTS NOTE | |
| Formatted contents note | One Basic Theory -- I Complex Numbers and Functions -- II Power Series -- III Cauchy's Theorem, First Part -- IV Winding Numbers and Cauchy's Theorem -- V Applications of Cauchy's integral Formula -- VI Calculus of Residues -- VII Conformal Mappings -- VIII Harmonic Functions -- Two Geometric Function Theory -- IX Schwarz Reflection -- X The Riemann Mapping Theorem -- XI Analytic Continuation Along Curves -- Three Various Analytic Topics -- XII Applications of the Maximum Modulus Principle and Jensen's Formula -- XIII Entire and Meromorphic Functions -- XIV Elliptic Functions -- XV The Gamma and Zeta Functions -- XVI The Prime Number Theorem -- §1. Summation by Parts and Non-Absolute Convergence -- §2. Difference Equations -- §3. Analytic Differential Equations -- §4. Fixed Points of a Fractional Linear Transformation -- §6. Cauchy's Theorem for Locally Integrable Vector Fields -- §7. More on Cauchy-Riemann. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc. | The present book is meant as a text for a course on complex analysis at the advanced undergraduate level, or first-year graduate level. The first half, more or less, can be used for a one-semester course addressed to undergraduates. The second half can be used for a second semester, at either level. Somewhat more material has been included than can be covered at leisure in one or two terms, to give opportunities for the instructor to exercise individual taste, and to lead the course in whatever directions strikes the instructor's fancy at the time as well as extra read ing material for students on their own. A large number of routine exer cises are included for the more standard portions, and a few harder exercises of striking theoretical interest are also included, but may be omitted in courses addressed to less advanced students. In some sense, I think the classical German prewar texts were the best (Hurwitz-Courant, Knopp, Bieberbach, etc. ) and I would recommend to anyone to look through them. More recent texts have emphasized connections with real analysis, which is important, but at the cost of exhibiting succinctly and clearly what is peculiar about complex analysis: the power series expansion, the uniqueness of analytic continuation, and the calculus of residues. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Mathematical analysis. |
| 9 (RLIN) | 20772 |
| Topical term or geographic name entry element | Analysis. |
| 9 (RLIN) | 20773 |
| 856 ## - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | <a href="https://doi.org/10.1007/978-1-4757-3083-8">https://doi.org/10.1007/978-1-4757-3083-8</a> |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | e-Book |
| Withdrawn status | Lost status | Source of classification or shelving scheme | Damaged status | Not for loan | Home library | Current library | Shelving location | Date acquired | Source of acquisition | Total Checkouts | Full call number | Barcode | Date last seen | Price effective from | Koha item type |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Dewey Decimal Classification | S. R. Ranganathan Learning Hub | S. R. Ranganathan Learning Hub | Online | 2023-07-05 | Infokart India Pvt. Ltd., New Delhi | 515 | EB1330 | 2023-07-05 | 2023-07-05 | e-Book |