KMO Math Competition Algebra Theory
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Description
Book Introduction
Since its first publication in October 2011, KMO Mathematics Competition Algebra Theory has been revised, supplemented, and developed in line with the changes in domestic and international KMO competitions.
The revised edition in January 2025 was published as a textbook optimized for KMO preparation by analyzing past questions from KMO and other competitions up to the present.
In particular, it covers a variety of algebraic problems frequently tested on the KMO exam. It will serve as an excellent algebra study guide for students preparing for the KMO exam, science high schools, or gifted high schools.
The revised edition in January 2025 was published as a textbook optimized for KMO preparation by analyzing past questions from KMO and other competitions up to the present.
In particular, it covers a variety of algebraic problems frequently tested on the KMO exam. It will serve as an excellent algebra study guide for students preparing for the KMO exam, science high schools, or gifted high schools.
index
1. Factorization
2. Glass type
3. Irrational expressions and their operations
4. Equation
5. Equations with Gaussian symbols
6.
Inequality
6.1 Inequality Laws in Real Numbers
6.2 Arithmetic mean, geometric mean, and harmonic mean
6.3 Generalization of arithmetic, geometric, and harmonic means
6.4 Cauchy-Schwarz inequality
6.5 Various inequality proof problems
6.6 Maximum and minimum problems using arithmetic and geometric means
6.7 Maximum and minimum problems using the Cauchy-Schwarz inequality
6.8 Triangles and Inequalities
6.9 Algebraic Substitution Method
7. Function
7.1 Finding the maximum and minimum values of a function
1.
subset of the plane
2.
Maximum and minimum in case of limited translation
3.
Maximum and minimum values of quadratic functions
4.
Finding the maximum and minimum values of a quadratic function using the discriminant
7.2 Functional equations
1.
Functional simultaneous equations
2.
Finding the function value of a functional equation
3.
Finding a function using given conditions
8.
Basic concepts of sequences
8.1 Definition of a sequence
8.2 Various sequences
Practice problem solutions
2. Glass type
3. Irrational expressions and their operations
4. Equation
5. Equations with Gaussian symbols
6.
Inequality
6.1 Inequality Laws in Real Numbers
6.2 Arithmetic mean, geometric mean, and harmonic mean
6.3 Generalization of arithmetic, geometric, and harmonic means
6.4 Cauchy-Schwarz inequality
6.5 Various inequality proof problems
6.6 Maximum and minimum problems using arithmetic and geometric means
6.7 Maximum and minimum problems using the Cauchy-Schwarz inequality
6.8 Triangles and Inequalities
6.9 Algebraic Substitution Method
7. Function
7.1 Finding the maximum and minimum values of a function
1.
subset of the plane
2.
Maximum and minimum in case of limited translation
3.
Maximum and minimum values of quadratic functions
4.
Finding the maximum and minimum values of a quadratic function using the discriminant
7.2 Functional equations
1.
Functional simultaneous equations
2.
Finding the function value of a functional equation
3.
Finding a function using given conditions
8.
Basic concepts of sequences
8.1 Definition of a sequence
8.2 Various sequences
Practice problem solutions
GOODS SPECIFICS
- Date of issue: January 23, 2025
- Page count, weight, size: 244 pages | 182*257*20mm
- ISBN13: 9788969060365
- ISBN10: 8969060367
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