Visual complex analysis
著者
書誌事項
Visual complex analysis
Clarendon Press , Oxford University Press, 1997
- : [hardcover]
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注記
Includes bibliographical references (p. [573]-578) and index
内容説明・目次
内容説明
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.
目次
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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