Given the breadth of topics presented in this book, it will serve well as a training resource for Olympiads, namely USA(J)MO and other national or international Olympiads as well as teachers and math enthusiasts.
The book comprises of twelve chapters. Each of the first eleven chapters contains theoretical discussions and examples that solidify the key concepts appearing in at least eleven problems that follow for the reader to solve. The last chapter is a collection of 30 bonus problems serving as an extra training set. The problems come from numerous sources around the world, including journals, contests, and Olympiads. The topics covered include factorizations, quadratic trinomials, absolute value, rational and irrational numbers, polynomials, functions, inequalities, sequences and sums, equations, systems of equations, integer part and fractional part all of which are essential for success in competition math and beyond. Solutions to all proposed problems are provided in the second part of the book.
Authors
- Titu Andreescu and Alessandro Ventullo
Subjects
- Algebra
Book Details
- Hardcover: 304 pages
- Publisher: XYZ Press (2025)
- Language: English
- ISBN-13: 979-8-9917692-3-5
