Complex variables demystified

書誌事項

Complex variables demystified

David McMahon

(Demystified series)

McGraw-Hill, c2008

タイトル別名

Complex variables demystified : a self-teaching guide

大学図書館所蔵 件 / 4

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注記

Includes bibliographical references (p. [267]) and index

内容説明・目次

内容説明

Publisher's Note: Products purchased from Third Party sellers are not guaranteed by the publisher for quality, authenticity, or access to any online entitlements included with the product. 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.

目次

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

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