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Complex Variables Demystified [Paperback]

David Mcmahon
5.0 out of 5 stars  See all reviews (1 customer review)
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Book Description

1 Aug 2008 Demystified

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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Complex Variables Demystified + Differential Equations Demystified + Advanced Calculus Demystified
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Product details

  • Paperback: 275 pages
  • Publisher: McGraw-Hill Professional (1 Aug 2008)
  • Language: English
  • ISBN-10: 007154920X
  • ISBN-13: 978-0071549202
  • Product Dimensions: 23.6 x 18.7 x 1.4 cm
  • Average Customer Review: 5.0 out of 5 stars  See all reviews (1 customer review)
  • Amazon Bestsellers Rank: 353,120 in Books (See Top 100 in Books)
  • See Complete Table of Contents

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Product Description

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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Most Helpful Customer Reviews
4 of 4 people found the following review helpful
5.0 out of 5 stars Excellent reference and quick recap guide 4 Dec 2009
Format:Paperback|Verified Purchase
Excellent for readers who have at least A Level maths knowledge though even better suited for those who are already well versed in maths at university level but wish to have a brief but good reference guide, either for recap or for getting quickly up to date with the topic of complex numbers, complex number functions and transformations. If you are relatively new to maths or algebra, number systems and calculus in particular, this is not the book for you as it sets a rather fast pace. If you are looking for a book which covers complex number theory in depth, this is not the book to go for either, as it doesn't cover much theory - mathematicians would claim it lacks rigour ... ;-). However, being an engineer and computer scientist, it's perfectly fine for me :-).
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Most Helpful Customer Reviews on (beta) 3.4 out of 5 stars  8 reviews
16 of 16 people found the following review helpful
3.0 out of 5 stars NEEDED ANOTHER RUN THROUGH BY AN EDITOR 1 Mar 2009
By William Meisel - Published on
Format:Paperback|Verified Purchase
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?
5 of 5 people found the following review helpful
2.0 out of 5 stars Needs a lot of work ... 28 Mar 2010
By William C. Bauldry - Published on
Format:Paperback|Verified Purchase
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.
3 of 3 people found the following review helpful
5.0 out of 5 stars Very Helpful! 6 Sep 2011
By Shaka - Published on
Prior to purchasing this book I was not understanding complex variables at all. To give some background, I felt calculus 1, 2, and 3 weren't too hard to learn from the textbook alone, the same applies to applied ODE. However for some reason complex variables is much harder to grasp then those others at least for me. This book explains concepts in a straight forward way, with plenty of examples, and is significantly improving my understanding of the subject.
3 of 3 people found the following review helpful
2.0 out of 5 stars Way too many errors. 20 Mar 2010
By Matthew Buckley - Published on
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.
2 of 2 people found the following review helpful
4.0 out of 5 stars Start complex analysis here 14 Mar 2011
By Toronto Test Engineer - Published on
Format:Paperback|Verified Purchase
This book is an introduction to complex variables. If you are new to this subject, I strongly recommend this book. It will get you up to speed. I also have a copy of Prof. McMahons book on Matlab, so I'm familiar with his writing style.
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