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Complex Variables Demystified [Paperback]

David McMahon (Author)
3.2 out of 5 stars  See all reviews (6 customer reviews)

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Book Description

007154920X 978-0071549202 June 23, 2008 1

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.


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Editorial Reviews

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.


Product Details

  • Paperback: 275 pages
  • Publisher: McGraw-Hill Professional; 1 edition (June 23, 2008)
  • Language: English
  • ISBN-10: 007154920X
  • ISBN-13: 978-0071549202
  • Product Dimensions: 9.3 x 7.4 x 0.6 inches
  • Shipping Weight: 15.2 ounces (View shipping rates and policies)
  • Average Customer Review: 3.2 out of 5 stars  See all reviews (6 customer reviews)
  • Amazon Best Sellers Rank: #681,165 in Books (See Top 100 in Books)

More About the Author

I am is the author of Linear Algebra Demystified, Quantum Mechanics Demystified, Relativity Demystified, and A Beginner's Guide to Mathematica. He holds advanced degrees in physics and mathematics and works as a consultant at Sandia and Los Alamos National laboratories. He has worked on space nuclear propulsion, the ITER fusion project, optics, and quantum information theory. More information about my books including sample text can be found at http://www.davidmcmahonbooks.com/

 

Customer Reviews

6 Reviews
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Average Customer Review
3.2 out of 5 stars (6 customer reviews)
 
 
 
 
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12 of 12 people found the following review helpful:
3.0 out of 5 stars NEEDED ANOTHER RUN THROUGH BY AN EDITOR, February 28, 2009
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This review is from: Complex Variables Demystified (Paperback)
I wish I could give this more stars. Mcmahon's explanations are often quite good, and the use of graphics in helping understand what complex functions look like is nicely done, but: there are still too many typos for me to think this would be useful to someone who did not already know the material. Some of the typos you might be expected to figure out, e.g., an integral should go from negative infinity to positive infinity, not from negative infinity to negative infinity. But there are other, more substantial typos (including what I am almost positive is a mistake in a problem showing how to use residues to do an inverse Laplace Transform.)

Verdict? Maybe wait for the second edition?
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3 of 3 people found the following review helpful:
2.0 out of 5 stars Needs a lot of work ..., March 28, 2010
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This review is from: Complex Variables Demystified (Paperback)
Unfortunately, there is a large number of typos and a fair number of mathematical errors in the text. Several examples (e.g., the sole example for Cauchy's integral formulas) seem to be from another book on PDE's rather than for complex analysis. The graphics also need a lot of work to make them better and more illustrative.

Overall, a nice idea, but it needs several rounds of copy-editing and error checking. As it stands, the book is not a good choice for learning about complex variables.
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2 of 2 people found the following review helpful:
2.0 out of 5 stars Way too many errors., March 20, 2010
This review is from: Complex Variables Demystified (Paperback)
I have to agree with the other reviewers - only I'd give it 2 stars. Most textbooks on this subject seem to be strictly theorem, proof, theorem, proof, etc. with no practical examples. This text offers more, but literally has a serious typo per page. When you're trying to learn complex analysis, it's a bit much to have to decide when the author is wrong.
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Inside This Book (learn more)
Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
residue theory, function blows, quarter plane, harmonic conjugate, entire complex plane, path theorem, inversion integral
Key Phrases - Capitalized Phrases (CAPs): (learn more)
Complex Variables Demystified, Elementary Functions, Complex Derivatives, More Complex Integration, Using Euler, Boundary Value Problems, Find the Laplace, Using the Bromvich
Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Surprise Me!
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