Nguồn ngoài
Complex Analysis - A Visual and Interactive Introduction
The study of complex analysis is important for students in engineering and the physical sciences and is a central subject in mathematics. In addition to being mathematically elegant, complex analysis provides powerful tools for solving problems that are either very difcult or virtually impossible to solve in any other way. In this book you will find examples, problems and applets that allow you to explore complex analysis by using the visual interactive power of the computer (or tablet).
- Tác giả
- Juan Carlos Ponce Campuzano
- Nhà xuất bản
- University of Queensland
- Nguồn
- LibreTexts
- Giấy phép
- CC BY-NC-SA
- Ngôn ngữ
- EN
- Danh mục
- Khoa học cơ bản
Mục lục· 35 mục
- 01: Chapter 1
- 1.01: A Brief History
- 1.02: Terminology and Notation
- 1.03: Geometric Interpretation of the Arithmetic Operations
- 1.04: The Principal Argument
- 1.05: Roots of Complex Numbers
- 1.06: Topology of the Complex Plane
- 02: Chapter 2
- 2.01: Complex functions
- 2.02: Riemann Sphere
- 2.03: Complex Differentiation
- 2.04: The Logarithmic Function
- 2.05: Riemann Surfaces
- 03: Chapter 3
- 3.01: Mappings
- 3.02: The Transformation w1 z
- 3.03: Analytic Landscapes
- 3.04: Domain coloring
- 3.05: The Complex Power Function
- 04: Chapter 4
- 4.01: Curves in the Complex Plane
- 4.02: Complex Integration
- 4.03: Integrals of Functions with Branch Cuts
- 05: Chapter 5
- 5.01: Series
- 5.02: Taylor Series
- 5.03: Laurent Series
- 5.04: Classification of Singularities
- 5.05: The Mandelbrot Set
- 5.06: The Julia Set
- 06: Chapter 6
- 6.01: Applications of Conformal Mappings
- 6.02: Complex Potential- Basic examples
- 6.03: Uniform Flow Around a Circle
- 6.04: Joukowsky Airfoil