Applied Complex Variables (Dover Books on Mathematics)

This is a great read: the first part covers the geometry/topology of the complex space from a Mathematician's perspective, which is not covered with much detail in typical Mathematical Methods texts; and the second part covers application of complex analysis to differential equations and integral transformations, etc. from a Physicist's perspective.If you have some exposure to complex analysis, one can read Part 2 to understand applications, then go through Part 1 to understand the more abstract fundamental principles.The additional problems in Schaum's Outline on "Complex Variables" is a good compliment to this book; the sequence of topics parallel each other.

They added in some cardboard to keep the book from being damaged during shipping(small detail most other vendors completely look over). Besides the fact they sold me a great book at a great price.

Pros:I have read the first part through and the breadth of coverage is very vast for this text. As a text on complex variables it doesn’t skip over anything. It helps to know some math analysis and calculus so it is written as a second book on complex variables after you have finished your typical math sequence in college. I wouldn’t recommend it as an introductory text for this reason. I have looked at other math texts on complex variables that are very expensive and have seen the same standard proofs repeated throughout. For a desk reference on this subject I would buy this book to help supplement other books that branch off of this subject. Because of the depth of study and the second half on the applications of complex variable theory, it could be used as a graduate level text for applied mathematics in a two semester sequence.For the price you pay for this book you get your weight in gold for it. Dover books are awesome and I would recommend for any mathematician to have at least one Dover book for every subject on their shelf, especially if you can’t afford the more expensive ones.Cons:The only cons are that the book has a small number of exercises relative to other texts. It covers all of the theory but needs another book with more exercises to practice this subject properly. Luckily there is another book published by Dover called a collection of exercises in complex analysis. I would get these two books.

great book

The book is neatly divided into two halves. The first half presents the mathematical theory of complex variables (complex numbers, function of complex variables, integration and differentiation of complex functions, infinite series and residue theory). The second half of the book provides common applications of complex variables (potential theory, differential equations, Fourier transforms, Laplace transforms and asymptotic expansions).This Dover reprint is an economical release of a fine text on complex variables. The prose is clean and efficient. The mathematical proofs are accessible. A fine addition to your home library for basic complex variable theory.

It was exactly what I expected. The book although used was in very good condition

This is the kind of book I've looked for as an undergraduate while taking my complex variables course. This book covers the fundamentals of complex analysis - analytic functions, integration, differentiation, infinite series and products, and residue calculus - using the oh-so-familiar but oh-so-very-effective method of theorem-proof-examples with short discussions inbetween. Since this text is so well organized this alone makes it a valuable asset. But this only comprises half of the book - the other half introduces uses of complex variables, including fourier series and transforms, asymptotic expansions, ordinary differential equations, Green's functions in potential theory and many other things - a real goldmine of information, for a very low price, too! Granted, you won't find graduate-level discussions here, but this isn't what this book is meant for - undergraduates. This isn't to say this book isn't rigorous - terms such as "normal convergence" and "compact set" do occur in the book. All-in-all, this has everything you'll need unless you intend to pursue higher-level courses in complex variables.

This text was required for my Complex Variables course and no one in the class thought it was very helpful. The author is very abstract about concepts, gives no solutions to answers, and doesnt do that great of a job at explaining his points. This isnt even a real textbook! The only positive about this book is it is the cheapest book I have ever bought for college....