Complex Analysis: (Record no. 60040)
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000 -LEADER | |
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fixed length control field | 01733nam a22002657a 4500 |
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
fixed length control field | 240222b |||||||| |||| 00| 0 eng d |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
ISBN | 9781944659943 (PB) |
041 ## - LANGUAGE CODE | |
Language code of text/sound track or separate title | eng |
080 ## - UNIVERSAL DECIMAL CLASSIFICATION NUMBER | |
Universal Decimal Classification number | 517.53 |
Item number | RAO |
100 ## - MAIN ENTRY--AUTHOR NAME | |
Personal name | Rao, Murali |
245 ## - TITLE STATEMENT | |
Title | Complex Analysis: |
Sub Title | An Invitation |
250 ## - EDITION STATEMENT | |
Edition statement | 2nd |
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
Place of publication | Singapore |
Name of publisher | World Scientific |
Year of publication | 2022 |
300 ## - PHYSICAL DESCRIPTION | |
Number of Pages | x, 414p. |
504 ## - BIBLIOGRAPHY, ETC. NOTE | |
Bibliography, etc | Includes bibliographical references (pages 310-325) and index |
505 ## - FORMATTED CONTENTS NOTE | |
Formatted contents note | 1. Power Series<br/>2. Holomorphic and Analytic Functions<br/>3. Exponential Function, Logarithm and Winding Number<br/>4. Basic Theory of Holomorphic Functions<br/>5. Global Theory<br/>6. Isolated Singularities<br/>7. The Picard Theorems<br/>8. Geometric Aspects and the Riemann Mapping Theorem<br/>9. Meromorphic Functions and Runge's Theorems<br/>10. Representations of Meromorphic Functions<br/>11. The Prime Number Theorem <br/>12. Harmonic Functions <br/>13. Subharmonic Functions<br/>14. Various Applications<br/>15. Jordan Regions<br/>16. The Dirichlet Problem and Green's Functions<br/>17. Extending Riemann Maps to the Boundary<br/>18. Caratheodory Convergence<br/>19. Capacities<br/>20. Loewner Theory |
520 ## - SUMMARY, ETC. | |
Summary, etc | This volume is an enlarged edition of a classic textbook on complex analysis. In addition to the classical material of the first edition it provides a concise and accessible treatment of Loewner theory, both in the disc and in the half-plane. Some of the new material has been described in research papers only or appears here for the first time. Each chapter ends with exercises. |
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical Term | Harmonic functions |
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical Term | Global theory |
690 ## - LOCAL SUBJECT ADDED ENTRY--TOPICAL TERM (OCLC, RLIN) | |
Topical term or geographic name as entry element | Mathematics |
700 ## - ADDED ENTRY--PERSONAL NAME | |
Personal name | Stetkaer, Henrik |
700 ## - ADDED ENTRY--PERSONAL NAME | |
Personal name | Fournais, Soren |
700 ## - ADDED ENTRY--PERSONAL NAME | |
Personal name | Mollar, Jacob Schach |
942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
Koha item type | BOOKS |
Withdrawn status | Lost status | Damaged status | Not for loan | Home library | Current library | Shelving location | Full call number | Accession Number | Copy number | Koha item type | Owner (If the Item is Gratis) |
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IMSc Library | IMSc Library | Multiple Copies Section | 517.53 RAO | 77515 | 1 | BOOKS | NBHM through KNR | ||||
IMSc Library | IMSc Library | First floor, Rack No. 33, Shelf No. 4 | 517.53 RAO | 77531 | 2 | BOOKS | NBHM through R. Balasubramanian |