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Visual Complex Analysis - Tristan Needham

Visual Complex Analysis


Published: 26th November 1998
Ships: 7 to 10 business days
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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.

`...one very fine recent example of mathematical graphics at a high level is Needham's Visual Complex Analysis.' Notices of the AMS

1: Geometry and Complex Arithmetic 2: Complex functions as Transformations 3: Möbius Transformations and Inversion 4: Differentiation: The Amplitwist Concept 5: Further Geometry of Differentiation 6: Non-Euclidean Geometry* 7: Winding Numbers and Topology 8: Complex Integration: Cauchy's Theorem 9: Cauchy's Formula and Its Applications 10: Vector Fields: Physics and Topology 11: Vector Fields and Complex Integration 12: Flows and Harmonic Functions

ISBN: 9780198534464
ISBN-10: 0198534469
Audience: Professional
Format: Paperback
Language: English
Number Of Pages: 616
Published: 26th November 1998
Publisher: Oxford University Press
Country of Publication: GB
Dimensions (cm): 23.2 x 15.8  x 3.4
Weight (kg): 0.92