Visual Complex Analysis: 25th Anniversary Edition [25th Anniversary Edition] 9780192868916, 9780192868923

Complex Analysis is the powerful fusion of the complex numbers (involving the 'imaginary' square root of -1) w

164 90 14MB

English Pages [720] Year 2023

Table of contents :
Copyright
Foreword
Preface to the 25th Anniversary Edition
Preface
Acknowledgements
Contents
Chapter 1 Geometry and Complex Arithmetic
Chapter 2 Complex Functions as Transformations
Chapter 3 Mobius Transformations and Inversion
Chapter 4 Differentiation: The Amplitwist Concept
Chapter 5 Further Geometry of Differentiation
Chapter 6 Non-Euclidean Geometry
Chapter 7 Winding Numbers and Topology
Chapter 8 Complex Integration: Cauchy's Theorem
Chapter 9 Cauchy's Formula and Its Applications
Chapter 10 Vector Fields: Physics and Topology
Chapter 11 Vector Fields and Complex Integration
Chapter 12 Flows and Harmonic Functions
Bibliography
Index

Visual Complex Analysis: 25th Anniversary Edition [25th Anniversary Edition]
9780192868916, 9780192868923

Author / Uploaded
Tristan Needham
Roger Penrose

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