This exceptional collection of mathematical problems and solutions represents the best of the Polish problem-solving tradition. Designed for students preparing for competitions and advanced studies, it covers a wide range of mathematical disciplines with an emphasis on creative approaches.
Mathematical Problem Solving is a comprehensive resource for students, teachers, and math enthusiasts seeking to develop their problem-solving skills and mathematical creativity. Drawing on Poland's rich tradition of mathematical education, this book presents a structured approach to tackling challenging problems across various mathematical domains.
Each chapter focuses on a specific area of mathematics, beginning with fundamental concepts and gradually progressing to more sophisticated problems. The solutions provided aren't mere answers but detailed explanations that reveal the thinking process behind each approach. Multiple solution methods are often presented for the same problem, encouraging readers to explore different perspectives.
What distinguishes this collection is its emphasis on strategy. Rather than treating problems as isolated challenges, Dr. Nowak identifies recurring patterns and techniques that can be applied across different scenarios. Special attention is given to problems that have appeared in major mathematical competitions, including the International Mathematical Olympiad, Polish Mathematical Olympiad, and various university entrance examinations.
The book also includes a dedicated section on problem creation, offering insights into how mathematicians design problems that test specific concepts and skills. This meta-analysis of problem construction provides readers with a deeper appreciation of mathematical elegance and structure.
This new edition includes a supplementary chapter on geometric problem solving using coordinate methods and algebraic techniques, as well as updated material reflecting recent developments in competition mathematics.
| Language | English |
|---|---|
| Paperback | 548 pages |
| Publisher | Kraków Academic Press |
| Edition | 2nd Edition (2023) |
| ISBN | 978-83-6392-147-8 |
| Dimensions | 17 × 24 cm |
As a high school mathematics teacher, I've found this book to be a goldmine of teaching resources. The way Dr. Nowak presents multiple approaches to each problem has completely changed how I teach problem-solving in my classroom. My students' competition results have improved dramatically since I started implementing these methods.
I used this book to prepare for the International Mathematical Olympiad, and it was instrumental in helping me win a silver medal. The problems are challenging yet accessible, and the detailed solutions taught me how to structure my thinking. The section on competition strategies was particularly valuable during the actual contest.
I've been teaching university mathematics for over 20 years, and this is by far the most comprehensive and well-structured problem collection I've encountered. What sets it apart is the pedagogical insight behind the problem selection and solution presentations. I now require this book for all my advanced undergraduate courses.
