Complex Variables Demystified 1st Edition by David McMahon (PDF)

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Annual enrollment in Complex Variables courses is 102,000

User’s Reviews

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐The first four chapters are fairly decent, but again nothing to complain about. But starting with Chapter 5, McMahon forgets his intended readership and abandons all attempts at clarity and intelligibility.Chapter 5 on sequences and series is an incomprehensible mishmash with no examples of convergence tests or uniformly converging series. Example 5.4 uses a relationship which the text says can be easily verified (p. 102)–it’s not. Example 5.5 is impossible to follow, as many of the intermediate (and intricate) steps have been eliminated. The section on the Laurent Series is completely incomprehensible. Problems 2. 3. 4. 6. 9 and 10 are impossible to work based on the exposition. In Chapter 6, Cauchy’s Integral Formula is simply presented without proof or meaningful explanation. I gave up at Example 7.1 of Chapter 7, Residue Theory, with nothing offered to justify the equation at the bottom of p. 139, except “this allows us to write . . .” and with Liouville’s theorem, the maximum and minimum modules, deformation of path, Gauss’ mean value and Roche’s theorems and Poisson’s integral presented with no proof, much less meaningful exposition.In short, the book does everything but demystify the subject. McGrawHill should be ashamed of itself for having allowed such a work become part of its catalogue and David MacMahon should be ashamed of himself for having written it. Why don’t these people beta test their material before publishing it. I can’t imagine that it would be that expensive to do. One way or the other, there is no excuse for this book. DON’T WASTE YOUR MONEY!

⭐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?

⭐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.

⭐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.

⭐this book provides good examples and it will be a great combination with a complex variables text book.

⭐Easy to understand and filled with great examples. Totally worth the price. It is like a how-to manual for dummies.

⭐An easy to understand introduction to the subject.

⭐McMahon’s style is very easy to understand and an easy read without an axiom type approach… a must read for all quantum theorists….

⭐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 :-).

⭐This is one of the worst books on complex variables. My students don’t like it at all. Difficult to understand what the author means.

⭐Un ouvrage très clair (bien que rédigé en anglais, il est parfaitement compréhensible pour un francophone).Son côté didactique grâce aux petits exercices après chaque chapitre, et les solutions de ceux-ci en fin d’ouvrage, en fait un outil personnel d’apprentissage de cette théorie, et permet d’aller beaucoup plus loin (et de façon “naturelle”) que le contenu des cours habituellement dispensés dans les écoles d’ingénieurs ou en faculté de sciences.

⭐Not found.

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