Advanced High-School Mathematics (Advanced Euclidean Geometry, Discrete Mathematics, Inequalities & Constrained Extrema, Abstract Algebra, Series & Differential Equations and Inferential Statistics)

Book Title: "Advanced High-School Mathematics by David B. Surowski" and the Author: David B. Surowski, Shanghai American.

This book provides an in-depth exploration of advanced mathematical concepts tailored for high-school students preparing for higher studies in mathematics or competitive examinations. It covers six major areas:

1. Advanced Euclidean Geometry – A rigorous study of classical geometry, including advanced theorems, constructions, and problem-solving techniques.
2. Discrete Mathematics – Focuses on combinatorics, graph theory, and logic, essential for understanding algorithms and computational mathematics.
3. Inequalities & Constrained Extrema – Introduces mathematical inequalities, optimization techniques, and applications in problem-solving.
4. Abstract Algebra – Covers fundamental algebraic structures such as groups, rings, and fields, providing a foundation for higher mathematics.
5. Series & Differential Equations – Explores sequences, series, and introductory differential equations, crucial for calculus and mathematical modeling.
6. Inferential Statistics – Discusses probability distributions, hypothesis testing, and statistical inference, equipping students with analytical skills for data science and research.

This book serves as a bridge between high school and university-level mathematics, offering theoretical depth and problem-solving strategies essential for aspiring mathematicians, engineers, and scientists.