Title: New basic course series of public higher education planning materials: Complex Variables and Integral Transforms(Chinese Edition)
Publisher: Huazhong University of Science and Technology Pres
Publication Date: 1991
Language: English
ISBN 10: 7560945619
ISBN 13: 9787560945613
Binding: Soft cover
Condition: New

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Synopsis

《学者书屋系列：复变函数引论》是大学数学、信息与计算科学等相关专业复变函数双语（英语）教学用书，正文部分均以英语陈述。全书以解析函数为主线安排了复数及复数域与扩充复平面、复变函数与解析函数、初等解析函数、复变函数沿有向曲线的积分、级数、奇点与留数、留数应用共八章内容，从微分、积分、级数、在一点处、在一个收敛点列、在一个区域中等九个层次来逐步深入地展开对解析函数的讨论，并利用解析函数的留数定理来计算一元实变函数的积分。《学者书屋系列：复变函数引论》对多值函数、解析函数等内容作了较好的处理，使传统内容以全新的面貌出现。为方便读者使用，各节配有适量的习题及必要的提示或解答。《复变函数引论》可作为数学专业本科生的双语教材或教学参考书，也可供大、中专数学教师、科技工作者、工程技术人员及自学者参考。全书由曹丽霞负责组织各章节内容的讨论和定稿。《学者书屋系列：复变函数引论》以解析函数为主线安排了复数及复数域与扩充复平面、复变函数与解析函数、初等解析函数、复变函数沿有向曲线的积分、级数、奇点与留数、留数应用共八章内容，从微分、积分、级数、在一点处、在一个收敛点列、在一个区域中等九个层次来逐步深入地展开对解析函数的讨论，并利用解析函数的留数定理来计算一元实变函数的积分。《学者书屋系列：复变函数引论》对多值函数、解析函数等内容作了较好的处理，使传统内容以全新的面貌出现。为方便读者使用，各节配有适量的习题及必要的提示或解答。全书由曹丽霞负责组织各章节内容的讨论和定稿。Chapter1ComplexNumbers1.1ComplexNumbersExercisesfor1.1AnswersorHintsforExercises1.11.2ModuliandConjugatesExercisesfor1.2AnswersorHintsforExercises1.21.3ExponentialFormExercisesfor1.3AnswersorHintsforExercises1.31.4PowersandRootsExercisesfor1.4AnswersorHintsforExercises1.41.5GeometricallyApplicationofComplexNumbersExercisesfor1.51.6PlaneTopologyExercisesfor1.6AnswersorHintsforExercises1.61.7CurvesChapter2AnalyticFunctions2.1Complex-valuedFunctionsofaComplexVariableExercisesfor2.1AnswersorHintsforExercises2.12.2LimitsandContinuityExercisesfor2.2AnswersorHintsforExercises2.22.3TheExtendedPlaneandInfinityExercisesfor2.3AnswersorHintsforExercises2.32.4ComplexDifferentiabilityExercisesfor2.4Answe

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