Complex Analysis. (Record no. 44561)

MARC details
000 -LEADER
fixed length control field 03000nam a22001937a 4500
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
ISBN 9789384323127
082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 515.9
Item number ZIL
100 ## - MAIN ENTRY--AUTHOR NAME
Personal name Zill, Dennis G.
245 ## - TITLE STATEMENT
Title Complex Analysis.
250 ## - EDITION STATEMENT
Edition statement 3rd Edition (Indian Edition)
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT)
Place of publication New Delhi :
Name of publisher Jones & Bartlett India,
Year of publication 2016
300 ## - PHYSICAL DESCRIPTION
Number of Pages 385 p.
490 ## - SERIES STATEMENT
Series statement Jones & Bartlett Learning series in mathematics., Complex analysis.
500 ## - GENERAL NOTE
General note Index annexed
505 ## - FORMATTED CONTENTS NOTE
Formatted contents note Cover; Title Page; Copyright; Dedication; Contents; Preface; Chapter 1. Complex Numbers and the Complex Plane; 1.1 Complex Numbers and Their Properties; 1.2 Complex Plane; 1.3 Polar Form of Complex Numbers; 1.4 Powers and Roots; 1.5 Sets of Points in the Complex Plane; 1.6 Applications; Chapter 1 Review Quiz; Chapter 2. Complex Functions and Mappings; 2.1 Complex Functions; 2.2 Complex Functions as Mappings; 2.3 Linear Mappings; 2.4 Special Power Functions; 2.4.1 The Power Function zn; 2.4.2 The Power Function z1/n; 2.5 Reciprocal Function; 2.6 Applications; Chapter 2 Review Quiz. Chapter 3. Analytic Functions3.1 Limits and Continuity; 3.1.1 Limits; 3.1.2 Continuity; 3.2 Differentiability and Analyticity; 3.3 Cauchy-Riemann Equations; 3.4 Harmonic Functions; 3.5 Applications; Chapter 3 Review Quiz; Chapter 4. Elementary Functions; 4.1 Exponential and Logarithmic Functions; 4.1.1 Complex Exponential Function; 4.1.2 Complex Logarithmic Function; 4.2 Complex Powers; 4.3 Trigonometric and Hyperbolic Functions; 4.3.1 Complex Trigonometric Functions; 4.3.2 Complex Hyperbolic Functions; 4.4 Inverse Trigonometric and Hyperbolic Functions; 4.5 Applications. Chapter 4 Review QuizChapter 5. Integration in the Complex Plane; 5.1 Real Integrals; 5.2 Complex Integrals; 5.3 Cauchy-Goursat Theorem; 5.4 Independence of Path; 5.5 Cauchy's Integral Formulas and Their Consequences; 5.5.1 Cauchy's Two Integral Formulas; 5.5.2 Some Consequences of the Integral Formulas; 5.6 Applications; Chapter 5 Review Quiz; Chapter 6. Series and Residues; 6.1 Sequences and Series; 6.2 Taylor Series; 6.3 Laurent Series; 6.4 Zeros and Poles; 6.5 Residues and Residue Theorem; 6.6 Some Consequences of the Residue Theorem; 6.6.1 Evaluation of Real Trigonometric Integrals. 6.6.2 Evaluation of Real Improper Integrals6.6.3 Integration along a Branch Cut; 6.6.4 The Argument Principle and Rouché's Theorem; 6.6.5 Summing Infinite Series; 6.7 Applications; Chapter 6 Review Quiz; Chapter 7. Conformal Mappings; 7.1 Conformal Mapping; 7.2 Linear Fractional Transformations; 7.3 Schwarz-Christoffel Transformations; 7.4 Poisson Integral Formulas; 7.5 Applications; 7.5.1 Boundary-Value Problems; 7.5.2 Fluid Flow; Chapter 7 Review Quiz; Appendixes; I: Proof of Theorem 3.1.1; II: Proof of the Cauchy-Goursat Theorem; III: Table of Conformal Mappings. Answers to Selected Odd-Numbered ProblemsSymbol Index; Word Index.
520 ## - SUMMARY, ETC.
Summary, etc Revision of: A first course in complex analysis with applications. -- 2nd ed. -- 2009.
700 ## - ADDED ENTRY--PERSONAL NAME
Personal name Shanahan, Patrick D .
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Koha item type Lending Books
Holdings
Collection code Home library Current library Shelving location Date acquired Source of acquisition Cost, normal purchase price Full call number Accession Number Koha item type
Reference Main Library Main Library Stacks 07/06/2019 Purchased 6800.00 515.9 ZIL 015857 Lending Books

© University of Vavuniya

------