Introduction to Number Theory in Mathematics Contests is a three-volume series, with this being Book 1. It covers introductory concepts like the division theorem, divisibility, and congruences, assuming familiarity with sets, functions, and algebraic equations. This book is ideal for those with basic math knowledge, particularly in algebra, and is beneficial for students interested in math competitions or exploring the beauty of mathematics.

The second volume, Book 2, commences by delving into crucial classical topics, including polynomial congruences and arithmetic functions. It showcases captivating problems yielding unique, intriguing results, such as the Erds-Ginzburg-Ziv theorem, which assures the existence of 'n' integers among any '2n - 1' whose sum is divisible by 'n'. Additionally, it presents other classical findings stemming from the Prime Number Theorem. Notably, it includes the 'lifting the exponent' lemma, renowned for its wide-ranging applications, along with the elegant theorem of Lucas concerning binomial coefficients modulo a prime, Lagrange's theorem on polynomial congruence solutions, and Gauss's theorem regarding primitive roots. This book serves as an excellent resource for those with foundational mathematics knowledge, particularly in Algebra, seeking to explore fundamental Number Theory concepts. Both math competition participants and enthusiasts eager to appreciate mathematics' beauty will derive the most benefit from owning this book.

Dr. Titu Andreescu is an associate professor of mathematics in the Science and Mathematics Education department at the University of Texas at Dallas (UTD). Much of his career has been devoted to competition math, an efficient medium for teaching creative problem-solving for a wide-range of math topics. With over 30 years of experience teaching, coaching, and mentoring the brightest mathematical minds of our age, Dr. Andreescu's books are essential for every math enthusiast's library.

Marian Tetiva is a Romanian high school teacher who strongly believes in the importance of meaningful problem solving in teaching and learning mathematics.

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