Visual Complex Analysis

Tristan Needham (Autor)

Buch | Softcover

616 Seiten

1998
Oxford University Press (Verlag)
978-0-19-853446-4 (ISBN)

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Adopting a different approach to complex analysis, this book aims to replace the standard calculational arguments with geometric arguments. Containing many diagrams, it is useful for undergraduates in mathematics and science, and also for professional mathematicians.

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.

Tristan Needham is Associate Professor of Mathematics at the University of San Francisco. For part of the work in this book, he was presented with the Carl B. Allendoerfer Award by the Mathematical Association of America.

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: Cuachy'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

Erscheint lt. Verlag	26.11.1998
Zusatzinfo	501 line figures
Verlagsort	Oxford
Sprache	englisch
Maße	156 x 234 mm
Gewicht	924 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
Themenwelt	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
ISBN-10	0-19-853446-9 / 0198534469
ISBN-13	978-0-19-853446-4 / 9780198534464
Zustand	Neuware