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Functions of a Complex Variable: Theory and Technique, by George F. Carrier, Max Krook, Carl E. Pearson
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Functions of a complex variable are used to solve applications in various branches of mathematics, science, and engineering. Functions of a Complex Variable: Theory and Technique is a book in a special category of influential classics because it is based on the authors’ extensive experience in modeling complicated situations and providing analytic solutions. The book makes available to readers a comprehensive range of these analytical techniques based upon complex variable theory. Proficiency in these techniques requires practice. The authors provide many exercises, incorporating them into the body of the text. By completing a substantial number of these exercises, the reader will more fully benefit from this book. Based on graduate courses in applied mathematics, Functions of a Complex Variable: Theory and Technique is intended for applied mathematicians, scientists, engineers, and senior or graduate-level students who have advanced knowledge in calculus and are interested in such subjects as complex variable theory, function theory, mathematical methods, advanced engineering mathematics, and mathematical physics.
- Sales Rank: #824072 in Books
- Brand: McGraw Hill
- Published on: 1966-03
- Ingredients: Example Ingredients
- Original language: English
- Number of items: 1
- Binding: Hardcover
- 438 pages
Review
'[This volume] is a classic textbook and reference on the subject of complex variables. It established a gold standard against which all other texts in applied mathematics should be judged ... As the authors intended, the theory part is concise and quickly leads the reader from an introduction to complex numbers to useful and powerful techniques, with applications to integral representation of special functions, transform and asymptotic methods in the complex plane, and integral equations, just to name a few. It is in the application of these techniques where the authors devoted most of the efforts. These were done masterfully. This book remains a relevant and must-read book for applied mathematicians today.' K. K. Tung, Professor and Chair of Applied Mathematics, University of Washington
'[This] is a book for those looking for applications of complex variables above and beyond what is found in standard elementary texts. I know of no single source where one finds such advanced topics as asymptotics, transforms, the Wiener-Hopf method, and dual and singular integral equations treated with such insight, thoroughness, and flair or where one finds such a rich, non-trivial collection of examples and exercises. Here is the power of complex variables as a practical tool on full display.' Jim Simmonds, Emeritus Professor of Civil Engineering, University of Virginia
About the Author
George F. Carrier (1918–2002) was one of the world’s preeminent applied mathematicians and the T. Jefferson Coolidge Professor of Applied Mathematics at Harvard University. He was honored for his scientific accomplishments by election to the National Academy of Sciences, the National Academy of Engineering, the American Academy of Arts and Sciences, and the American Philosophical Society. He was the author of numerous papers and books. Max Krook (1913–1985) was Gordon McKay Professor of Applied Mathematics and Professor of Astrophysics at Harvard University. He was widely recognized for his work on stellar and interstellar atmospheres and for his explanations of unusual phenomena in fluids and plasmas. He also was renowned for the invention of several simple models that have given scientists new insights into kinetic theory and statistical mechanics. Carl E. Pearson has a wide variety of experience in both the academic and the professional worlds. He has taught at Harvard, the Technical University of Denmark, and the University of Washington, and he has spent years in industry as well, including work at Arthur D. Little Inc., Sperry Rand Company, and Boeing Aerospace Company. Dr. Pearson is the author of several books, some of them classics in the field of applied mathematics.
Most helpful customer reviews
3 of 3 people found the following review helpful.
Readable
By Professor Joseph L. McCauley
I'd never used this book tom teach complex variables in math methods in physics although I've
owned it for about 30 years. This time I made a lecture from it following the derivation of
the series solution of a linear differential equation for a regular singular point and found that
section to be very good. The book is readable from the start and is highly recommendable for
self-study.
2 of 2 people found the following review helpful.
nice contour integration chapter
By deskswirl
As the other reviewers have said this book is readable. In fact I would say much more readable than Churchill and Brown (or Brown and Churchill depending upon which edition you have). I was amazed to find a chapter on asymptotics and special functions something I think is unusual in a beginning CV text. Carrier and Pearson's PDE book is also well written but unfortunately lacks references.
If you never seen a complex number before parts 2 and 3 of the 5 volume series by Knopp are an excellent starting point:Theory of Functions, Parts I and II (Dover Books on Mathematics) (Pts. 1 & 2)
2 of 2 people found the following review helpful.
Classic Text!
By engineer
Makes an otherwise complex subject seem simple by the way it is presented.I found it to be an exceptionally well written text, and would encourage anyone who is interested in the subject to buy it. A great book!
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