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# Visual Complex Analysis

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 t
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Paperback, 616 pages

Published
February 18th 1999
by Oxford University Press, USA
(first published March 27th 1997)

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Basic operations like complex multiplication are clearly explained in terms of vector diagrams. Hyperbolic geometry, the Riemann sphere, the winding theorem and other topics really make a lot more sense explained in an intuitive visual manner. Needham created all the illustrations himself using CorelDRAW, LaTex and the complex graphing program f(z) (http://www.lascauxsoftware.com/). They are very nicely done and o ...more

"Sweet Feynman has it been a fun last couple days! I picked up Tristan Needham’s Visual Complex Analysis from the University of Waterloo library and this book has reminded me why I fell in love with math as a wee lad. The book’s pedagogical approach is to teach math the way mathematicians actually think about it – visually. Needham’s book is chock full of nifty pictures of Riemann spheres, conformal mappings, branches, and more. Complex an ...more

Needham likens modern mathematics to a hypothetical world where scholars study, discuss, and produce musical scores, but are never willing to play the music. In fact, the playing of music is suspect, somehow beneath the dignity of scholarly music. It doesn't take any effort to see how tragic this ...more

Many other people have said that one should read this book only after completing a Comp ...more

Very approachable, even coming from an undergraduate background, although a bit of exposure to real analysis beforehand would definitely help elucidate some of the arguments.

Only downside - the figures can be a convoluted at times, and are often a page or two away from their respective descriptions or explanations. Needham also occasionally fails to m ...more

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