- Our Story
- Discipline
Discipline
back - Digital
- Solutions
- Contact Us
- Home
- Mathematics
- Basic Complex Analysis
Basic Complex Analysis
Third Edition| ©1999 Jerrold E. Marsden, California Institute of Technology; Michael J. Hoffman, California State University, Los Angeles
Basic Complex Analysis skillfully combines a clear exposition of core theory with a rich variety of applications. Designed for undergraduates in mathematics, the physical sciences, and engineering who have completed two years of calculus and are taking complex analysis for the...
Basic Complex Analysis skillfully combines a clear exposition of core theory with a rich variety of applications. Designed for undergraduates in mathematics, the physical sciences, and engineering who have completed two years of calculus and are taking complex analysis for the first time.
Paperback
C$222.99
ISBN:9781464152191
Read and study old-school with our bound texts.
Retail:C$222.99
Wholesale:C$178.76

Basic Complex Analysis skillfully combines a clear exposition of core theory with a rich variety of applications. Designed for undergraduates in mathematics, the physical sciences, and engineering who have completed two years of calculus and are taking complex analysis for the first time.
Features
Only first year calculus required--all necessary linear algebra is explained
Incorporates wide range of physical applications, dozens of graphics, and a large number of exercises
Boxes highlight important definitions and formulas
Notes to the student offer further help on exceptionally difficult topics
New to This Edition

Basic Complex Analysis
Third Edition| ©1999
Jerrold E. Marsden, California Institute of Technology; Michael J. Hoffman, California State University, Los Angeles
Digital Options

Basic Complex Analysis
Third Edition| 1999
Jerrold E. Marsden, California Institute of Technology; Michael J. Hoffman, California State University, Los Angeles
Table of Contents
1. Analytic Functions
1.1 Introduction to Complex Numbers
1.2 Properties of Complex Numbers
1.3 Some Elementary Functions
1.4 Continuous Functions
1.5 Basic Properties of Analytic Functions
1.1 Introduction to Complex Numbers
1.2 Properties of Complex Numbers
1.3 Some Elementary Functions
1.4 Continuous Functions
1.5 Basic Properties of Analytic Functions
1.6 Differentiation of the Elementary Functions
2. Cauchy's Theorem
2.1 Contour Integrals
2.2 Cauchy's Theorem-A First Look
2.3 A Closer Look at Cauchy's Theorem
2.4 Cauchy's Integral Formula
2.5 Maximum Modulus Theorem and Harmonic Functions
3. Series Representation of Analytic Functions
3.1 Convergent Series of Analytic Functions
3.2 Power Series and Taylor's Theorem
3.3 Laurent Series and Classification of Singularities
2.2 Cauchy's Theorem-A First Look
2.3 A Closer Look at Cauchy's Theorem
2.4 Cauchy's Integral Formula
2.5 Maximum Modulus Theorem and Harmonic Functions
3. Series Representation of Analytic Functions
3.1 Convergent Series of Analytic Functions
3.2 Power Series and Taylor's Theorem
3.3 Laurent Series and Classification of Singularities
4. Calculus of Residues
4.1 Calculation of Residues
4.2 Residue Theorem
4.3 Evaluation of Definite Integrals
4.4 Evaluation of Infinite Series and Partial-Fraction Expansions
5. Conformal Mappings
5.1 Basic Theory of Conformal Mappings
5.2 Fractional Linear and Schwarz-Christoffel Transformations
5.3 Applications of Conformal Mappings to Laplace's Equation, Heat Conduction, Electrostatics, and Hydrodynamics
6. Further Development of the Theory
6.1 Analytic Continuation and Elementary Riemann Surfaces
6.2 Rouche Theorem and Principle of the Argument
6.3 Mapping Properties of Analytic Functions
7. Asymptotic Methods
7.1 Infinite Products and the Gamma Function
7.2 Asymptotic Expansions and the Method of Steepest Descent
7.3 Stirlings Formula and Bessel Functions
5. Conformal Mappings
5.1 Basic Theory of Conformal Mappings
5.2 Fractional Linear and Schwarz-Christoffel Transformations
5.3 Applications of Conformal Mappings to Laplace's Equation, Heat Conduction, Electrostatics, and Hydrodynamics
6. Further Development of the Theory
6.1 Analytic Continuation and Elementary Riemann Surfaces
6.2 Rouche Theorem and Principle of the Argument
6.3 Mapping Properties of Analytic Functions
7. Asymptotic Methods
7.1 Infinite Products and the Gamma Function
7.2 Asymptotic Expansions and the Method of Steepest Descent
7.3 Stirlings Formula and Bessel Functions
8. Laplace Transform and Applications
8.1 Basic Properties of Laplace Transforms
8.2 Complex Inversion Formula
8.3 Application of Laplace Transforms to Ordinary Differential Equations
Answers to Odd-Numbered Exercises
Index

Basic Complex Analysis
Third Edition| 1999
Jerrold E. Marsden, California Institute of Technology; Michael J. Hoffman, California State University, Los Angeles
Authors

Jerrold E. Marsden

Michael J. Hoffman

Basic Complex Analysis
Third Edition| 1999
Jerrold E. Marsden, California Institute of Technology; Michael J. Hoffman, California State University, Los Angeles
Related Titles
Available Demos
Select a demo to view:
We are processing your request. Please wait...
