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Ready to learn the fundamentals of complex variables but can't seem to get your brain to function on the right level? No problem! Add Complex Variables Demystified to the equation and you'll exponentially increase your chances of understanding this fascinating subject.
Written in an easy-to-follow format, this book begins by covering complex numbers, functions, limits, and continuity, and the Cauchy-Riemann equations. You'll delve into sequences, Laurent series, complex integration, and residue theory. Then it's on to conformal mapping, transformations, and boundary value problems. Hundreds of examples and worked equations make it easy to understand the material, and end-of-chapter quizzes and a final exam help reinforce learning.
Preface
Chapter 1: Complex Numbers
Chapter 2: Functions, Limits, and Continuity
Chapter 3: The Derivative and Analytic Functions
Chapter 4: Elementary Functions
Chapter 5: Sequences and Series
Chapter 6: Complex Integration
Chapter 7: Residue Theory
Chapter 8: More Complex Integration and the Laplace Transformation
Chapter 9: Mapping and Transformations
Chapter 10: The Schwarz-Christoffel Transformation
Chapter 11. The Gamma and Zeta Functions
Chapter 12. Boundary Value Problems
Final Exam
Quiz Solutions
Final Exam Solutions
Bibliography
Index
Description
Ready to learn the fundamentals of complex variables but can't seem to get your brain to function on the right level? No problem! Add Complex Variables Demystified to the equation and you'll exponentially increase your chances of understanding this fascinating subject.
Written in an easy-to-follow format, this book begins by covering complex numbers, functions, limits, and continuity, and the Cauchy-Riemann equations. You'll delve into sequences, Laurent series, complex integration, and residue theory. Then it's on to conformal mapping, transformations, and boundary value problems. Hundreds of examples and worked equations make it easy to understand the material, and end-of-chapter quizzes and a final exam help reinforce learning.
Preface
Chapter 1: Complex Numbers
Chapter 2: Functions, Limits, and Continuity
Chapter 3: The Derivative and Analytic Functions
Chapter 4: Elementary Functions
Chapter 5: Sequences and Series
Chapter 6: Complex Integration
Chapter 7: Residue Theory
Chapter 8: More Complex Integration and the Laplace Transformation
Chapter 9: Mapping and Transformations
Chapter 10: The Schwarz-Christoffel Transformation
Chapter 11. The Gamma and Zeta Functions
Chapter 12. Boundary Value Problems
Final Exam
Quiz Solutions
Final Exam Solutions
Bibliography
Index
