THE ESSENTIAL GUIDE TO COMPETITION MATH FUNDAMENTALS PLUS
도서명:THE ESSENTIAL GUIDE TO COMPETITION MATH FUNDAMENTALS PLUS
저자/출판사:유하림/헤르몬하우스
쪽수:296쪽
출판일:2024-09-30
ISBN:9791194085133
목차
Preface 3
이 책의 특징 4
Preface 3
이 책의 특징 4
Topic 1 Beginning with Combinatorics 9
1.1 Multiplication and Addition Principle...........................10
1.2 Principle of Inclusion and Exclusion............................12
1.3 Practices.........................................................................13
Topic 2 Continuing with Combinatorics 47
2.1 Case enumeration and Complements............................48
2.2 Indistinguishables and Distinguishables.......................50
2.2.1 Permutation Allowing Repetitions........................50
2.2.2 Partition of Sets....................................................50
2.2.3 Combination Allowing Repetitions.......................51
2.2.4 Partition of Natural Numbers...............................51
2.3 Practices.........................................................................53
Topic 3 Ending with Combinatorics 83
3.1 Probability with Restrictions.........................................84
3.2 More about Probability..................................................86
3.3 Practices.........................................................................88
Topic 4 Beginning with Number Theory 127
4.1 Divisors and Remainders...............................................128
4.2 Parity and Modular Arithmetic......................................130
4.3 Practices.........................................................................131
Topic 5 Ending with Number Theory 157
5.1 Divisibility and Modular Arithmetic..............................158
5.2 Chinese Remainder Theorem........................................160
5.3 Base Expression and Modular Expression....................161
5.4 Practices.........................................................................162
Topic 6 Beginning with Geometry 191
6.1 Basic Guidelines for Plane Geometry Problems...........192
6.2 Angle Bisector and Perpendicular Bisector...................195
6.3 Practices.........................................................................196
Topic 7 Ending with Geometry 219
7.1 Quadrilaterals and Cyclic Quadrilaterals.......................220
7.2 Circles............................................................................221
7.3 Practices.........................................................................222
Topic 8 More About Algebra 2 / Precalculus 245
8.1 About Polynomials.........................................................246
8.2 Maximum and Minimum...............................................248
8.3 Floor Function...............................................................249
8.4 Sequence and Series......................................................250
8.5 Using Trigonometry for Angle Equations......................251
8.6 Complex Plane Geometry and Vectors..........................252
8.7 Practices.........................................................................255
