Applied Complex Variables (Mathematics Series)

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Summary: Everything an undergraduate should know
Review: 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.

Rating:
Summary: As abstract as it gets....
Review: 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....