000			03000nam a22001937a 4500
999			_c44561 _d44561
020			_a9789384323127
082			_a515.9 _bZIL
100			_aZill, Dennis G.
245			_aComplex Analysis.
250			_a3rd Edition (Indian Edition)
260			_aNew Delhi : _bJones & Bartlett India, _c2016
300			_a385 p.
490			_a Jones & Bartlett Learning series in mathematics., Complex analysis.
500			_aIndex annexed
505			_a 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			_aRevision of: A first course in complex analysis with applications. -- 2nd ed. -- 2009.
700			_aShanahan, Patrick D .
942			_cBK