伯克利数学问题集 Berkeley Problems in Mathematics, 3ed Problem Books in Mathematics Paulo N de Souza, Jorge-Nuno Silva djvu

伯克利数学问题集

概述：
《伯克利数学问题集》中的试题和解答都颇具价值；读者研读完本书，在诸如实分析、多变量微积分、微分方程、度量空间、复分析、代数学及线性代数等学科的解题能力都将得到提高。
《伯克利数学问题集》中概述这些问题按学科及难易程度编排，每道试题均注明相应的考试年月，读者可以依此方便地整理出各套试题。附录概述如何得到电子版试题，考试大纲以及各次考试的及格线。
伯克利数学问题集 目录：
Preface
I Problems.
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
6.1 Examples of Groups and General Theory
6.2 Homomorphisms and Subgroups
6.3 Cyclic Groups
6.4 Normality, Quotients, and Homomorphisms
6.5 Sn, An, Dn, …
6.6 Direct Products
6.7 Free Groups, Generators, and Relations
6.8 Finite Groups
6.9 Rings and Their Homomorphisms
6.10 Ideals
6.11 Polynomials
6.12 Fields and Their Extensions
6.13 Elementary Number Theory
7 Linear Algebra
7.1 Vector Spaces
7.2 Rank and Determinants
7.3 Systems of Equations
7.4 Linear Transformations
7.5 Eigenvalues and Eigenvectors
7.6 Canonical Forms
7.7 Similarity
7.8 Bilinear, Quadratic Forms, and Inner Product Spaces
7.9 General Theory of Matrices..
II Solutions
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
6.1 Examples of Groups and General Theory
6.2 Homomorphisms and Subgroups
6.3 Cyclic Groups
6.4 Normality, Quotients, and Homomorphisms
6.5 Sn, An, Dn, …
6.6 Direct Products
6.7 Free Groups, Generators, and Relations
6.8 Finite Groups
6.9 Rings and Their Homomorphisms
6.10 Ideals
6.11 Polynomials
6.12 Fields and Their Extensions
6.13 Elementary Number Theory
7 Linear Algebra
7.1 Vector Spaces
7.2 Rank and Determinants
7.3 Systems of Equations
7.4 Linear Transformations
7.5 Eigenvalues and Eigenvectors
7.6 Canonical Forms
7.7 Similarity
7.8 Bilinear, Quadratic Forms, and Inner Product Spaces
7.9 General Theory of Matrices
III Appendices
A How to Get the Exams
A.1 On-line
A.2 Off-line, the Last Resort
B Passing Scores
C The Syllabus
References
Index
伯克利数学问题集
【高等数学】
2012年考研数学复习全书
2012考研数学必备手册（蔡子华）
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