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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.
Table des matières
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
A propos de l'auteur
David McMahon is a Microsoft Certified Visual Basic developer. He writes object-oriented software and hardware drivers for Windows NT and 95/98 using Visual Basic and Visual C++. He is also a Microsoft Certification instructor for Visual Basic and Microsoft Access.
Résumé
Complex Variables Demystified is a guide for readers who are looking for a straightforward and user-friendly way to master the subject of complex variables/analysis.
