- Paperback: 616 pages
- Publisher: Clarendon Press; Reprint edition (February 18, 1999)
- Language: English
- ISBN-10: 0198534469
- ISBN-13: 978-0198534464
- Product Dimensions: 9 x 1.3 x 6.1 inches
- Shipping Weight: 3.5 pounds (View shipping rates and policies)
- Average Customer Review: 69 customer reviews
- Amazon Best Sellers Rank: #236,491 in Books (See Top 100 in Books)
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Visual Complex Analysis Reprint Edition
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"Visual Complex Analysis is a delight, and a book after my own heart. By his innovative and exclusive use of the geometrical perspective, Tristan Needham uncovers many surprising and largely unappreciated aspects of the beauty of complex analysis." --Roger Penrose
"Tristan Needham's Visual Complex Analysis will show you the field of complex analysis in a way you almost certainly have not seen before. Drawing on historical sources and adding his own insights, Needham develops the subject from the ground up, drawing us attractive pictures at every step of the way. If you have time for a year course, full of fascinating detours, this is the perfect text; by picking and choosing, you could use it for a variety of shorter courses. I am tempted to hide the book from my own students, in order to appear more clever for popping up with crisp historical anecdotes, great exercises, and pictures that explain things like that mysterious 2*pi that crops up in integrals. Whether you use Visual Complex Analysis as a text, a resource, or entertaining summer reading, I highly recommend it for your bookshelf."--American Mathematical Monthly
"Delivers what its title promises, and more: an engaging, broad, thorough, and often deep, development of undergraduate complex analysis and related areas. . .A truly unusual and notably creative look at a classical subject." --American Mathematical Monthly
"One of the saddest developments in school mathematics has been the downgrading of the visual for the formal. I'm not lamenting the loss of traditional Euclidean geometry, despite its virtues, because it too emphasised stilted formalities. But to replace our rich visual intuition by silly games with 2 x 2 matrices has always seemed to me to be the height of folly. It is therefore a special pleasure to see Tristan Needham's 'Visual Complex Analysis' with its elegantly illustrated visual approach. Yes, he has 2 x 2 matrices--but his are interesting." --New Scientist
"Committed to the exclusive use of geometrical arguments and content to pay the price of 'an initial lack of rigour', he has produced a radically new text. The author writes "as though [he] were explaining the ideas directly to a friend". This informal style is excellently judged and works extremely well."--Mathematical Review
"This is a book in which the author has been willing to make himself available as our teacher. His own voice enters in a rather charming way....I recommend Visual Complex Analysis, as something to read and enjoy, to share with students, and perhaps to inspire other books in which the voice of the author is vividly present to teach and explain."--American Mathematical Monthly
From the Author
The book recently won First Prize in the National Jesuit Book Award Contest for the best mathematics or computer science book published in 1994, 1995, or 1996. --This text refers to an out of print or unavailable edition of this title.
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There is a mathematical "poetry" to this book that encourages one to see mathematics as an art. We need more math books like this.
Despite the (deliberate) emphasis on mathematical beauty, the book is quite comprehensive, with almost 600 pages and lots of exercises. It would serve as an introductory textbook for a course in complex variables or as a supplement to other courses.
See the website: [...]
The only thing I noticed is that the author chooses a style that leads to more theory and proofs then others. I do not mind this approach. There tends to be not as many "plug-chug" examples or problems to work through. Background in vector calculus, linear algebra, and differential equations has helped me in reading this book. Two thumbs up!