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Visual Complex Analysis

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Product Description

Author: Needham Tristan

Brand: Clarendon Press

Color: Blue

Edition: New Ed

Number Of Pages: 616

Details: Product Description

FROM THE AUTHOR:

Please do NOT buy this original 1997 edition! I have created a new, greatly improved (and cheaper!) edition, which was published on February 28th, 2023:

Visual Complex Analysis: 25th Anniversary Edition (with a new Foreword by Roger Penrose)

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This radical first course on complex analysis brings a beautiful and powerful subject to life by consistently using geometry (not calculation) as the means of explanation. Aimed at undergraduate students in mathematics, physics, and engineering, the book’s intuitive explanations, lack of advanced prerequisites, and consciously user-friendly prose style will help students to master the subject more readily than was previously possible. The key to this is the book’s use of new geometric arguments in place of the standard calculational ones. These geometric arguments are communicated with the aid of hundreds of diagrams of a standard seldom encountered in mathematical works. A new approach to a classical topic, this work will be of interest to students in mathematics, physics, and engineering, as well as to professionals in these fields.

Review

“[Needham’s] highly praised massive book Visual Complex Analysis may still be resounding in the minds of those who have read it. The original approach and the numerous graphics must have left a lasting impression.” — Adhemar Bultheel, Mathematical Association of America Reviews

“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 Analysi

Release Date: 18-02-1999

Package Dimensions: 34x232x880

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