伯克利数学问题集（第3版） azw3 网盘 高速 下载地址大全 免费

本书为美国加州大学伯克利分校数学系历届攻读数学博士学位者第一学年水平测试的试题汇编。分问题和题解两部分，章节划分按分支学科进行，包括实分析，多元微积分，微分方程，度量空间，复分析，代数和线性代数等内容。

Preface Ⅰ Real Analysis 1 Real Analysis 1.1 Elementary Calculus 1.2 Limits and Continuity 1.3 Sequences, Series, and products 1.4 Differential Calculus 1.5 Integral Calculus 1.6 Sequences of Functions 1.7 Fourier Series 1.8 Convex Functions 2 Multivariable Calculus 2.1 Limits and Continuity 2.2 Differential Calculus 2.3 Integral Calculus 3 Differential Equations 3.1 First Order Equations 3.2 Second order Equations 3.3 Higher Order Equations 3.4 Systems of Differential Equations 4 Metric Spaces 4.1 Topology of Rn 4.2 General Theory 4.3 Fixed Point theorem 5 Complex Analysis 5.1 Complex Numbers 5.2 Series and Sequences of Functions 5.3 Conformal Mappings 5.4 Functions on the Unit Disc 5.5 Growth Conditions 5.6 Analytic and Meromorphic Functions 5.7 Cauchy's theorem 5.8 Zeros and Singularities 5.9 Harmonic Functions 5.10 Residue Theory 5.11 Integrals Along the Real Axis 6 Algebra 7 Linear Algebra Ⅱ Solutions 1 Real Analysis 2 Multivariable Calculus 3 Differential Equations 4 Metric Spaces 5 Complex Analysis 6 Algebra 7 Linear Algebra Ⅲ Appendices A How to Get the Exams B Passing Scores C The Syllabus References Index Ⅳ

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