The first visually intuitive introduction to complex analysis, this radical approach replaces the standard calculational arguments with new geometric ones. This book is intended for undergraduates in mathematics, physics and engineering.
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This approach to complex analysis aims to replace the standard calculational arguments with new geometric arguments. With several hundred diagrams, this is a visual intuitive introduction to complex analysis. The book is designed for use by undergraduates in mathematics and science.
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1: Geometry and Complex Arithmetic. 2: Complex functions as Transformations. 3: Mobius 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
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Produktdetaljer
ISBN
9780198534471
Publisert
1997-02-01
Utgiver
Oxford University Press; Clarendon Press
Aldersnivå
UU, 05
Språk
Product language
Engelsk
Format
Product format
Innbundet
Antall sider
615
Forfatter