21世纪高等院校教材:复变函数与积分变换(英文版)
作者:盖云英,邢宇明 编
出版:科学出版社 2007.8
丛书:哈尔滨工业大学数学教学丛书复变函数与积分变换系列教材
页数:249
定价:33.00 元
ISBN-13:9787030193513
ISBN-10:7030193512
去豆瓣看看 Chapter 1 Complex Numbers and Functions of Complex Variable
§1.1 Complex Numbers and Its four fundamental Operations
§1.2 Geometric Representation of Complex Numbers
§1.3 Complex Conjugates
§1.4 Powers and Roots
§1.5 Riemann Sphere and Infinity
§1.6 Complex Numbers Sets
§1.7 Functions of Complex Variable
Chapter 2 Analytic Functions
§2.1 Concept of Analytic Functions
§2.2 Necessary and Sufficient Conditions of Analytic Functions
§2.3 Elementary Functions
Chapter 3 Complex Integrals
§3.1 Concept of Complex Integral
§3.2 Cauchy Integral Theorem
§3.3 Cauchy Integral Formula
§3.4 Analytic Functions and Harmonic Functions
Chapter 4 Series
§4.1 Complex Number Series and Complex Function Series
§4.2 Power Series
§4.3 Taylor Series
§4.4 Laurent Series
Chapter 5 Residues
§5.1 Isolate Singularities
§5.2 Residues
§5.3 Application of Residues in Evaluating Definite and Improper Integrals Chapter 6 Conformal Mappings
§6.1 Concept of Conformal Mappings
§6.2 Fractional Linear Mappings (Transformations)
§6.3 The properties of Fractional Linear Mapping
§6.4 Some important Fractional Linear Mappings
§6.5Some mappings of Elementary Functions Chapter 7 The Fourier Transform
§7.1 Fourier Integral and Fourier Integral Theorem
§7.2 Fourier Transforms and Fourier Inverse Transforms
§7.3 Unit Impales Functions
§7.4 Generalized Fourier Transforms
§7.5 The properties of Fourier Transforms
§7.6 Convolution
Chapter 8 The Laplace Transform
§8.1 Concept of Laplace Transforms
§8.2 The properties of Laplace Transforms
§8.3 Laplace Inverse Transforms
§8.4 Application of Laplace Transforms
盖云英,女,教授,博士生指导教师,教学带头人;哈尔滨工业大学理学院数学系教授,现在已经退休,原来为哈尔滨工业大学复变函数与积分变换学科带头人。四十年教龄教师,教学经验丰富,出版畅销经典教材三部。
本书是一本用于同名课程双语教学的英文教材。编者参考多本有关的经典原著英文教材,按照国家教育部对本课程的基本要求,结合多年的教学实践编撰而成。内容分两部分,共八章。第1章到第6章为复变函数部分,包括复数与复变函数,解析函数,复积分,级数,留数,保形映射。第7章和第8章时积分变换部分,包括傅里叶积分变换和拉普拉斯变换。书中各章节都安排了大量精选的习题,并按大纲的要求及难易程度分为A,B两类。
本书既可作为理工科大学同名课程的双语教材,也可供有关工程技术人员参考。
比价列表