Tristan Needham (Professor of Mathematics Professor of Mathematics

Visual Complex Analysis

• Broschiertes Buch

Produktbeschreibung

This new 25th anniversary edition of Visual Complex Analysis introduces this powerful method combining complex numbers with ordinary calculus, and includes new introductory content and brand-new captions that fully explain the geometrical reasoning.

Produktdetails

• Comparative Pathobiology - Studies in the Postmodern Theory of Education
• Verlag: Oxford University Press
• Erscheinungstermin: 28. April 2023
• Englisch
• Abmessung: 250mm x 181mm x 40mm
• Gewicht: 1528g
• ISBN-13: 9780192868923
• ISBN-10: 0192868926
• Artikelnr.: 66997005

Autorenporträt

Tristan Needham (son of the distinguished social anthropologist Rodney Needham) grew up in Oxford, England. He studied physics at Merton College, Oxford, before moving to the Mathematical Institute, where he enjoyed the great privilege of studying black holes under the supervision of Sir Roger Penrose. Tristan received his DPhil in 1987 and joined the faculty of the University of San Francisco in 1989. His continuing mission is to seek out new intuitive forms of understanding, and new visualizations.

Inhaltsangabe

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