Topics in Complex Analysis

• Tác giả: Dan Romik
• Ngôn ngữ: eng
• ISBN-13: 978-3110796780
• ISBN-13: 978-3110796810
• ISBN-13: 978-3110796889
• Thông tin xuất bản: Berlin/Boston De Gruyter 2023
• Mô tả vật lý: 1 electronic resource (296 p.)
• Bộ sưu tập: Tài liệu truy cập mở
• ID: 375324
• Chủ đề: 1. analytic functions; 2. Complex analysis; 3. complex integration; 4. complex variables; 5. Calculus & mathematical analysis

Tóm tắt

Begins with an introduction to the theory of functions of a complex variable, covers complex numbers and their properties, analytic functions and the Cauchy-Riemann equations, the logarithm and other elementary functions of a complex variable, integration of complex functions, the Cauchy integral theorem, the residue theorem, and definite integrals. Definitions and proofs are discussed as are applications to physics and engineering.