Complex Analysis: (Record no. 60040)

000 -LEADER
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
Holdings
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)
        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
The Institute of Mathematical Sciences, Chennai, India

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