Complex Analysis and Integral Transformations: Types of Problems. Methods

Author: Yang Zhanmin
Publisher:
Publishing Time: Not available
Features: This book is written according to the outline determined by the "Writing Conference for Engineering Mathematics Textbooks in Higher Education Institutions," combining the actual learning needs of engineering college students in the courses of "Complex Analysis" and "Integral Transformations." The book is divided into two parts, totaling eight chapters. Part I is Complex Analysis (basically following the chapter order of Higher Education Press's Complex Analysis (4th Edition)), consisting of six chapters: Chapter 1 is Complex Numbers and Complex Functions, Chapter 2 is Analytic Functions, Chapter 3 is Integrals of Complex Functions, Chapter 4 is Series, Chapter 5 is Residues, and Chapter 6 is Conformal Mapping; Part II is Integral Transformations (basically following the chapter order of Higher Education Press's Integral Transformations (3rd Edition)), consisting of two chapters: Chapter 7 is Fourier Transform, and Chapter 8 is Laplace Transform. Each chapter is structured into five parts: basic content, basic requirements, basic problem-solving methods, detailed solutions to typical examples, and comprehensive practice exercises. At the end of the book, answers and hints are provided, along with recent graduate entrance examination question types and answers. Sections marked with an asterisk () are optional for use across various disciplines. This book can serve as a supplementary textbook for undergraduate and junior college students, as well as a reference for professional teachers and technical personnel. The book is divided into two parts, totaling eight chapters. Part I is Complex Analysis; Part II is Integral Transformations. Each chapter is structured into five parts: basic content, basic requirements, basic problem-solving methods, detailed solutions to typical examples, and comprehensive practice exercises. At the end of the book, answers and hints are provided, along with recent graduate entrance examination question types and answers.