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Calculus with Complex Numbers, by John B. Reade
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This practical course in complex calculus explains the applications, without requiring the rigor of a real analysis background. The author explores algebraic and geometric aspects of complex numbers, differentiation, contour integration, finite and infinite real integrals, summation of series and the fundamental theorem of algebra. The Residue Theorem for evaluating complex integrals is presented in a straightforward way, laying the groundwork for further study. A working knowledge of real calculus and familiarity with complex numbers is assumed. This book is useful for graduate students in calculus and undergraduate students of applied mathematics, physical sciences and engineering.
- Sales Rank: #1830874 in eBooks
- Published on: 2007-04-16
- Released on: 2007-04-16
- Format: Kindle eBook
Review
"Reade's short work is clearly and succinctly written. The book is attractive, error-free, and well written Highly recommended." -CHOICE "Liebeck's book, A Concise Introduction to Pure Mathematics, is one of the best I have seena gentle but fascinating introduction into the culture of mathematics" - From the Foreword by Robert Guralnick, University of Southern California, Los Angeles
About the Author
John Reade is with Manchester University in the UK.
Most helpful customer reviews
3 of 3 people found the following review helpful.
Just right for a practicing professional
By David Eaton
I needed to learn some complex analysis to understand some signal processing problems. It has been quite a while since I had a formal mathematics class, and while I will not stop with this book, I found that it takes a very practical approach, a bit like when I first learned how to use calculus. Rigor and detail is great, proper, and fine, but it is not a good way for a non-mathematician who is tasked with using a piece of mathematics to get oriented. I found it refreshingly straightforward.
1 of 1 people found the following review helpful.
Excellent Introduction to Complex Analysis
By William M.
This is a great short introduction to complex analysis. It doesn't cover all of the topics that might be covered in a college course, but the topics it does cover it covers clearly and with many good examples. There are exercises, but not an inordinate amount;just enough to practice what the author is teaching you.
I reread this over the summer and I had forgotten how much I like this book. In fact, I wish I owned a copy of it the first time I took complex analysis.
8 of 8 people found the following review helpful.
One of my main complaints about technical books is ...
By sp
that they are too verbose, too much geared toward teaching everything to everyone (rather than teaching the basics to everyone), too heavy, and too expensive.
This little slim volume is in some sense an optimal solution to this problem. It covers the very basics of complex analysis in such a way that a typical engineering student
could read the book cover to cover in a short time and come away with a basic understanding of the field. The reader would then be empowered to read up on more specialized topics (e.g., the use of phasors, nyquist stabilty criterion, inverse laplace transforms)
or to apply the theory in an engineering class.
For comparison, I usually tell others that my favorite textbook on complex variables is the book by Wunsch. Although I still like Wunsch's book it has gotten fatter and thicker as it has morphed into
the current third edition. Its sheer bulk and scope might discourage the student from delving into the book who was not required to by taking a class.
Most engineers have to become "self-learners" throughout their career and books like this really help facilitate the process of lifelong learning.
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