Complex Variables Demystified

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9780071549202: Complex Variables Demystified
From the Publisher:

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.

About the Author:

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.

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Mcmahon, David
ISBN 10: 007154920X ISBN 13: 9780071549202
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Mcmahon, David
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Descripción McGraw-Hill Professional, 2008. Estado de conservación: New. Brand New, Unread Copy in Perfect Condition. A+ Customer Service! Summary: Chapter 1: Complex Numbers The Complex Number System; Complex Conjugate; Modulus of a Complex Number; Polar Representation; Euler's Identity; Roots of Complex Numbers; de Moivres Formula Chapter 2: The Derivative and Analytic Functions Limits of Complex Variables; The Derivative and Holomorphic Functions; The Cauchy-Reimann Equations Harmonic Functions; The Exponential Function; Logarithms; Cuts and Branch Points; Power Series Expansions Chapter 3: Complex Integration Introduction to Complex Integration; Parametric Representation; The Heine-Borel Theorem; Integration Chapter 4: Contour Integration and Cauchys Theorem Integration on a contour; The Cauchy Integral Formula; The Cauchy-Goursat Theorem Chapter 5: Laurent Series, Residues and Singularities The Residue Theorem; Integrals over the real axis; Principal Values; Improper Integrals; Integrals and Branch Points; Rouches Theorem Chapter 6: Series and Sequences Sequences and convergence; Power series expansions; Convergence of series; Formulas of Parseval, Schwarz, and Poisson; Infinite products; Weierstrass and Mittag-Leffler Expansions Chapter 7: Conformal Mapping Mapping and Transformations; Mobius Transformations; Schwarz-Christoffel Transformation; The Riemann mapping theorem Chapter 8: Special Functions and Advanced Topics Poisson Integral Formula; Schwarz Integral Formula; The Dirichlet problem on a disk; Neumann problems; Riemanns Zeta Function; The Beta Function; Winding Numbers Chapter 9: Special Matrices Symmetric matrices; Hermitian matrices; Orthogonal matrices; Unitary matrices Chapter 10: Matrix Decompositions The LU Decomposition; Singular Value Decomposition; QR Decomposition. Nº de ref. de la librería ABE_book_new_007154920X

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Mcmahon, David
Editorial: McGraw-Hill Education - Europe, United States (2008)
ISBN 10: 007154920X ISBN 13: 9780071549202
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Descripción McGraw-Hill Education - Europe, United States, 2008. Paperback. Estado de conservación: New. 231 x 185 mm. Language: English . Brand New Book. 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. Nº de ref. de la librería AA39780071549202

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Mcmahon, David
Editorial: McGraw-Hill Education - Europe, United States (2008)
ISBN 10: 007154920X ISBN 13: 9780071549202
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Descripción McGraw-Hill Education - Europe, United States, 2008. Paperback. Estado de conservación: New. 231 x 185 mm. Language: English . Brand New Book. 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. Nº de ref. de la librería AA39780071549202

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Descripción Estado de conservación: Brand New. Book Condition: Brand New. Nº de ref. de la librería 97800715492021.0

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Descripción McGraw-Hill Education. PAPERBACK. Estado de conservación: New. 007154920X Brand New Book. Ships from the United States. 30 Day Satisfaction Guarantee!. Nº de ref. de la librería 4263283

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Descripción McGraw-Hill Education - Europe 2008-08-01, 2008. paperback. Estado de conservación: New. Nº de ref. de la librería 9780071549202

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Descripción McGraw-Hill Professional, 2008. Paperback. Estado de conservación: New. 1. Nº de ref. de la librería DADAX007154920X

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