Complex Analysis (Record no. 13643)
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000 -LEADER | |
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fixed length control field | 02315nmm a22002175i 4500 |
005 - DATE AND TIME OF LATEST TRANSACTION | |
control field | 20230705150637.0 |
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
fixed length control field | 131101s2001 xxu| s |||| 0|eng d |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
International Standard Book Number | 9780387216072 |
-- | 978-0-387-21607-2 |
082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER | |
Classification number | 515 |
Edition number | 23 |
100 ## - MAIN ENTRY--PERSONAL NAME | |
Personal name | Gamelin, Theodore W. |
9 (RLIN) | 20465 |
245 ## - TITLE STATEMENT | |
Title | Complex Analysis |
Medium | [electronic resource] / |
Statement of responsibility, etc. | by Theodore W. Gamelin. |
250 ## - EDITION STATEMENT | |
Edition statement | 1st ed. 2001. |
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. | 2001. |
300 ## - PHYSICAL DESCRIPTION | |
Extent | XVIII, 480 p. |
Other physical details | online resource. |
505 ## - FORMATTED CONTENTS NOTE | |
Formatted contents note | First Part -- I The Complex Plane and Elementary Functions -- II Analytic Functions -- III Line Integrals and Harmonic Functions -- IV Complex Integration and Analyticity -- V Power Series -- VI Laurent Series and Isolated Singularities -- VII The Residue Calculus -- Second Part -- VIII The Logarithmic Integral -- IX The Schwarz Lemma and Hyperbolic Geometry -- X Harmonic Functions and the Reflection Principle -- XI Conformal Mapping -- Third Part -- XII Compact Families of Meromorphic Functions -- XIII Approximation Theorems -- XIV Some Special Functions -- XV The Dirichlet Problem -- XVI Riemann Surfaces -- Hints and Solutions for Selected Exercises -- References -- List of Symbols. |
520 ## - SUMMARY, ETC. | |
Summary, etc. | The book provides an introduction to complex analysis for students with some familiarity with complex numbers from high school. It conists of sixteen chapters. The first eleven chapters are aimed at an Upper Division undergraduate audience. The remaining five chapters are designed to complete the coverage of all background necessary for passing PhD qualifying exams in complex analysis. Topics studied in the book include Julia sets and the Mandelbrot set, Dirichlet series and the prime number theorem, and the uniformization theorem for Riemann surfaces. The three geometries, spherical, euclidean, and hyperbolic, are stressed. Exercises range from the very simple to the quite challenging, in all chapters. The book is based on lectures given over the years by the author at several places, including UCLA, Brown University, the universities at La Plata and Buenos Aires, Argentina; and the Universidad Autonomo de Valencia, Spain. |
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name entry element | Mathematical analysis. |
9 (RLIN) | 20466 |
Topical term or geographic name entry element | Analysis. |
9 (RLIN) | 20467 |
856 ## - ELECTRONIC LOCATION AND ACCESS | |
Uniform Resource Identifier | <a href="https://doi.org/10.1007/978-0-387-21607-2">https://doi.org/10.1007/978-0-387-21607-2</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 |
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Dewey Decimal Classification | S. R. Ranganathan Learning Hub | S. R. Ranganathan Learning Hub | Online | 2023-07-05 | Infokart India Pvt. Ltd., New Delhi | 515 | EB1331 | 2023-07-05 | 2023-07-05 | e-Book |