书籍详情
美国数学竞赛指南（第三版）
作者：H·B.莱特，J·M.凯恩，邹云志 著
出版社：世界图书出版公司
出版时间：2021-10-01
ISBN：9787519284589
定价：¥268.00
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内容简介
本书是一部美国中学生数学竞赛的全面指南，共分四册：第1册 基础知识及解题策略第2册 分类基础练习及解答第3册 竞赛真题集锦第4册 竞赛真题集锦解答在的第三版中，作者根据广大学子的要求，做了一些调整，增加了不少新内容：1.增加了更多知识点，比如部分增加了四点共圆，反演，更多解析几何知识等。2.新增了2019年AMC完整系列问题及解答，包括AMC 8/10A/10B/12A/12B以及2卷AIME。3.版和第二版中的短文部分换成了凯恩教授的十大实用解题策略及备考建议。4.习题的组织和分类比前两版更细致，更方便读者练习巩固。本书所选用的真题及解答均获得相关考试机构的官方授权。
作者简介
B. 莱特（Harold B. Reiter）博士是美国北卡罗来纳大学教授。他是AHSME/AMC 委员会前主席和SAT II 数学委员会前主席。莱特教授还是夏洛特数学俱乐部（Charlotte Math Club）的创始人。M. 凯恩（Jonathan M. Kane）博士是美国威斯康星大学教授。他是现AIME委员会主席，AMC 10/12， USAMO委员会成员。凯恩教授还是紫色彗星（Purple Comet！ Math Meet）的联合创始人，并撰写了《数学分析中的证明》（Writing Proofs in Analysis）等著作。邹云志博士是四川大学数学系教授。他是中国数学会会员，中国自动化学会人工智能及机器人教育专业委员会委员，四川省人才研究会学术委员。他曾任加拿大马尼托巴大学、英国牛津大学访问教授，近年也曾在普林斯顿大学、哥伦比亚大学、斯坦福大学、加州大学洛杉矶分校等美国高校访学。邹教授参与编写了“十一五”规划教材《Calculus I》《Calculus II》，并著有英文教材《单变量微积分》（Single Variable Calculus： A First Step）和《多变量微积分》（Multi-Variable Calculus： A First Step）。
目录
PART I BASIC KNOWLEDGE
1 Algebra
2 Geometry
3 Number Theory
4 Counting
5 Logarithms, Trigonometry, Complex Numbers, and Vectors
6 Problem Solving Strategies
PART II PRACTICE PROBLEMS
7 Algebra
8 Geometry
9 Number Theory
10 Counting
11 Logarithms, Trigonometry, Complex Numbers, and Vectors
12 Problem Solving Strategie
PART III SOLUTIONS TO PRACTICE PROBLEMS
13 Algebra
14 Geometry
15 Number Theory
16 Counting
17 Logarithms, Trigonometry, Complex Numbers, and Vectors
18 Problem Solving Strategies
PART IV PAST CONTEST PROBLEMS
19 AMC 8 Problems
20 AMC 10A/10B Problems
21 AMC 12A/12B Problems
22 AIME I/II Problems
23 MATHCOUNTS Problems
24 ARML Contest Problems
25 UNC Charlotte Super Competition
26 NC-SMC Problems
27 BAMO Problems
28 Purple Comet Math Meet
29 Wisconsin Math Talent Search
30 USA Mathematical Talent Search (2015-2016)
31 Harvard-MIT Mathematics Tournament
PART V SOLUTIONS TO PART III PAST CONTEST PROBLEMS
32 Solutions to AMC 8
33 Solutions to AMC 10
34 Solutions to AMC 12
35 Solutions to AIME
36 Solutions to MATHCOUNTS Problems
37 Solutions to ARML Contest Problems
38 Solutions to UNC Charlotte Super Competition
39 Solutions to NC-SMC Problems
40 Solutions to BAMO Problems
41 Solutions to Purple Comet Math Meet
42 Solutions to Wisconsin Math Talent Search
43 Solutions to USA Mathematical Talent Search (2015-2016)
44 Solutions to Harvard-MIT Mathematics Tournament
1 Algebra
2 Geometry
3 Number Theory
4 Counting
5 Logarithms, Trigonometry, Complex Numbers, and Vectors
6 Problem Solving Strategies
PART II PRACTICE PROBLEMS
7 Algebra
8 Geometry
9 Number Theory
10 Counting
11 Logarithms, Trigonometry, Complex Numbers, and Vectors
12 Problem Solving Strategie
PART III SOLUTIONS TO PRACTICE PROBLEMS
13 Algebra
14 Geometry
15 Number Theory
16 Counting
17 Logarithms, Trigonometry, Complex Numbers, and Vectors
18 Problem Solving Strategies
PART IV PAST CONTEST PROBLEMS
19 AMC 8 Problems
20 AMC 10A/10B Problems
21 AMC 12A/12B Problems
22 AIME I/II Problems
23 MATHCOUNTS Problems
24 ARML Contest Problems
25 UNC Charlotte Super Competition
26 NC-SMC Problems
27 BAMO Problems
28 Purple Comet Math Meet
29 Wisconsin Math Talent Search
30 USA Mathematical Talent Search (2015-2016)
31 Harvard-MIT Mathematics Tournament
PART V SOLUTIONS TO PART III PAST CONTEST PROBLEMS
32 Solutions to AMC 8
33 Solutions to AMC 10
34 Solutions to AMC 12
35 Solutions to AIME
36 Solutions to MATHCOUNTS Problems
37 Solutions to ARML Contest Problems
38 Solutions to UNC Charlotte Super Competition
39 Solutions to NC-SMC Problems
40 Solutions to BAMO Problems
41 Solutions to Purple Comet Math Meet
42 Solutions to Wisconsin Math Talent Search
43 Solutions to USA Mathematical Talent Search (2015-2016)
44 Solutions to Harvard-MIT Mathematics Tournament
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