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Produktbeschreibungen
Pressestimmen
... a fascinating and refreshing look at a familiar subject... essential reading for anybody with any interest at all in this absorbing area of mathematics. Times Higher Education Supplement 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 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 tradition by silly games with 2x2 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 2x2 matrices--but his are interesting. Ian Stewart, New Scientist, 11 October 1997 ... an engaging, broad, thorough, and often deep, development of undergraduate complex analysis and related areas from a geometric point of view. The style is lucid, informal, reader-friendly, and rich with helpful images (e.g. the complex derivative as an "amplitwist"). A truly unusual and notably creative look at a classical subject. Paul Zorn, American Mathematical Monthly I was delighted when I came across [Visual Complex Analysis]. As soon as I thumbed through it, I realized that this was the book I was looking for ten years ago. Ed Catmull, founder of Pixar
Kurzbeschreibung
Now available in paperback, this successful radical approach to complex analysis replaces the standard calculational arguments with new geometric ones. With several hundred diagrams, and far fewer prerequisites than usual, this is the first visual intuitive introduction to complex analysis. Although designed for use by undergraduates in mathematics and science, the novelty of the approach will also interest professional mathematicians.
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Einleitungssatz
Four and a half centuries have elapsed since complex numbers were first discovered. Lesen Sie die erste Seite
Buchdeckel | Copyright | Inhaltsverzeichnis | Auszug | Stichwortverzeichnis | Rückseite
Four and a half centuries have elapsed since complex numbers were first discovered. Lesen Sie die erste Seite
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Buchdeckel | Copyright | Inhaltsverzeichnis | Auszug | Stichwortverzeichnis | Rückseite
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Format:Taschenbuch
This is a large informal work devoted to making complex analysis intuitive. There is no other book on complex analysis roughly like it. It is roughly at the junior-senior level and of course requires a background in calculus and preferably real analysis. I suspect many students who have already had the C.A. course might enjoy reading this to find out what they should have learned. It is a must-have for anyone interested in complex analysis.
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Format:Taschenbuch
Although mathematical visualization has not been as implicitly forbidden in modern mathematics as claimed by Needham, his work is nonetheless highly innovative even besides his wonderful graphs. The reason is that his prose accompanies very well his extraordinary insight and intuition for the subject. It is purposely not extremely rigorous in order to make the presentation smoother. (This is not so bad as many think. Complex analysis is the target of many excellent books which, fortunately, do not all take the same approach. For more rigor see Ahlfors' "Complex Analysis.")
This book can therefore be an ideal way to get started with complex analysis or even to further one's understanding in the subject. If you are looking for a very affordable predecessor with a similar intuitive style, check Flanigan's "Complex Variables."
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Format:Gebundene Ausgabe
I had looked for a great deal of time to find a book that explained complex differentiation from an intuitive viewpoint as well as being sufficiently rigorous. I got more than what I paid for. For example, after reading this book one will come away not only being able to compute various derivatives and the like, but truly understanding what the topic means and how it may be utilized. This book comes highly recommended.
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