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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 userfriendly prose style will help students t
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Paperback, 616 pages
Published
February 18th 1999
by Clarendon Press
(first published March 27th 1997)
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i bought this book for like $76 at borders and i think the clerk thought i was insane (i suspected i was insane.) (clerk: "woah, that's an expensive book. what's it for?" "umm... for fun? i guess...???") buying shit is weird. i know i could get it on half.com for like 18.99 or whatever, but sometimes it just seems too fucked up to do that. i want someone, somewhere, to know that someone found this book browsing in a borders and immediately forked over the cash and walked out with it. things like
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From a blog post I wrote just after picking this book up:
"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
"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
Really great book... the closest I've come to actually 'getting' complex analysis.
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
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
It's rare that I would post a book like this as a recommended read. Clearly, it is not one for everybody. But it is, handsdown, the most engaging and delightful mathematics book I have ever encountered.
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
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
"The Divine Spirit found a sublime outlet in that wonder of analysis, that portent of the ideal world, that amphibian between being and notbeing, which we call the imaginary root of negative unity. " ~ Leibniz
As a undergraduate calculus student who hasn't taken his first contour integral, I must admit that I bit off more than I can chew with this book. That said if you aren't in over your head, how will you ever know how tall you are? As I approached the boundaries of my current knowledge with ...more
As a undergraduate calculus student who hasn't taken his first contour integral, I must admit that I bit off more than I can chew with this book. That said if you aren't in over your head, how will you ever know how tall you are? As I approached the boundaries of my current knowledge with ...more
I got this book because I was promised geometrically intuitive explanations of the results in a standard Complex Analysis course, and I was not disappointed! Almost every result the author stated was "proved" with a readily understandable geometric argument, which gave me a lot of intuition about why the results are true. Of course, the proofs were not rigorous, but that's what a Complex Analysis class is for.
Many other people have said that one should read this book only after completing a Comp ...more
Many other people have said that one should read this book only after completing a Comp ...more
Comes at the task of defining calculus on complex functions from a primarily geometric viewpoint, which makes things intuitive and easy to follow.
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
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
This is a fantastic book on complex analysis, especially if you're more of a visual learner like I am. I highly recommend this to anyone interested in complex analysis, whether you'll be actively reading it or keeping it as a reference. Pair this with a book on the applications of complex variables to get the most out of it.
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Prerequisites please!  2  7  Mar 05, 2017 11:31AM 
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