Concepts and Problems for Mathematical Competitors
“Concepts and Problems for Mathematical Competitors” by Alexander Sarana is a comprehensive resource published by Courier Dover Publications on August 12, 2020. This 432-page book is designed for students preparing for mathematical competitions, including the International Mathematical Olympiad and the Putnam competition. It presents essential mathematical methods and techniques, structured into six parts that cover various topics such as counting methods, number theory, inequalities, metrical geometry, analysis, and logic.
Readers will find detailed solutions to a series of problems in each chapter, along with approximately 30 additional problems, totaling around 1,000 problems throughout the book. This edition serves not only as a preparation guide for competitions but also as a valuable resource for high school, undergraduate, and graduate students seeking a thorough review of mathematical methods. The book’s focus on practical problem-solving makes it a useful tool for those interested in mathematics, history and philosophy, as well as recreational mathematics.
Official synopsis Publisher
This book presents the mathematical methods that students need when preparing for competitions, whether for the International Mathematical Olympiad (IMO) for high school students or the Putnam competition for undergraduate students.
The book features six parts, each subdivided into several chapters. The six major sections address counting methods, number theory, inequalities and the theory of equations, metrical geometry, analysis, and number representations and logic. Each chapter provides detailed solutions to a series of problems as well as approximately 30 more problems; the text thus provides about 1,000 problems to be solved. In addition to its value to students preparing for competitions, this volume is a useful resource for those seeking a thorough and practical review of mathematical methods.
For high school, undergraduate, and graduate students in mathematics
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