Take the complication out of COMPLEX VARIABLES
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.
This fast and easy guide offers:
Numerous figures to illustrate key concepts
Sample problems with worked solutions
Coverage of Cauchy-Riemann equations and the Laplace transform
Chapters on the Schwarz-Christoffel transformation and the gamma and zeta functions
A time-saving approach to performing better on an exam or at work
Simple enough for a beginner, but challenging enough for an advanced student, Complex Variables Demystified is your integral tool for understanding this essential mathematics topic.
David McMahon has worked for several years asa physicist and researcher at Sandia National Laboratories. He is the author of Linear Algebra Demystified, Quantum Mechanics Demystified, Relativity Demystified, and MATLAB Demystified, among other successful titles.
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