American Mathematical Contests: A Guide to Success
Edition: 1
Copyright: 2018
Pages: 720
Edition: 1
Copyright: 2018
Pages: 720
Choose Your Format
$72.93
Ebook
$42.55
American Mathematical Contests: A Guide to Success introduces middle and high school students to a variety of mathematics competitions popular in the United States of America. Originally published in China for students interested in American contests, it helps students preparing for mathematics competitions to improve their solving skills. In addition, it provides entertaining mathematics for all readers seeking enrichment.
This text is written in six parts, and it includes essays on combinatorics, number theory, geometry, and algebra. American Mathematical Contests: A Guide to Success:
- features mathematical techniques specific to contest problems, which are not normally explored in a mathematics curriculum.
- demonstrates how to apply these techniques to a variety of problems with in-depth discussion.
- includes contest problems with solutions from over a dozen American mathematics contests, such as the Harvard-MIT Mathematics Tournament and the UNC Charlotte Super Competition.
PART I BASIC KNOWLEDGE
1 Algebra
2 Geometry
3 Number Theory
4 Counting
5 Logarithms, Trigonometry, Complex Numbers, and Vectors
6 Exercises
PART II ESSAYS AND PRACTISE PROBLEMS
7 Combinatorics Essay
8 Place Values and Fusing Dots Essay
9 Symmetry Essay
10 Counting With Cubes
11 Geometry
12 Algebra
13 Geometry
iii
iv CONTENTS IN BRIEF
14 Counting
15 Number Theory
16 Trigonometry
17 Logarithms
18 Miscellaneous
PART III 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 State Math Contest of North Carolina 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 IV SOLUTION TO PART I EXERCISES
32 Solutions to Chapter 6 Exercises
CONTENTS IN BRIEF v
PART V SOLUTION TO PART II PRACTICE PROBLEMS
33 Algebra
34 Geometry
35 Counting
36 Number Theory
37 Trigonometry
38 Logarithms
39 Miscellaneous
PART VI SOLUTIONS TO PART III PAST CONTEST PROBLEMS
40 Solutions to 2016 AMC
41 Solutions to 2016 AMC
42 Solutions to 2016 AMC 12
43 Solutions to 2016 AIME
44 Solutions to MATHCOUNTS Problems
45 Solutions to ARML Contest Problems: Power Question
46 Solutions to UNC Charlotte Super Competition
47 Solutions to State Math Contest of North Carolina Problems
48 Solutions to BAMO Problems
49 Solutions to Purple Comet Math Meet
50 Solutions to Wisconsin Math Talent Search
51 Solutions to USA Mathematical Talent Search(2015-2016)
52 Solutions to Harvard-MIT Mathematics Tournament