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1. Compositions and Partitions 2. Arithmetic Functions 3. Distribution of Primes 4. Irrational Numbers 5. Congruences 6. Diophantine Equations 7. Combinatorial Number Theory 8. Geometry of Numbers
An Introduction to the Theory of Numbers by Leo Moser is a concise and highly accessible textbook designed for undergraduate students and competitive mathematics enthusiasts. Serving as an essential entry-level reference, this volume provides a solid foundation for an introduction to the theory of numbers problem solving practice. The book systematically covers fundamental topics including divisibility, prime numbers, linear and quadratic congruences, arithmetical functions, Diophantine equations, and continued fractions. By combining clear mathematical reasoning with elegant proofs, Moser enables readers to perform essential elementary number theory proofs with total confidence. Widely appreciated for its direct structure and rich collection of challenging problems, this treatise remains a favorite among students preparing for mathematical competitions. Moser’s lucid presentation equips learners with vital analytical tools required for mastering classical number theory principles across pure mathematics.
Title: An Introduction to the Theory of Numbers by Leo Moser Publisher: The Trillia Group Year: 2011 Pages: 95 Type: PDF Language: English ISBN-10 #: 0471625469 ISBN-13 #: 978-0471625469 License: CC BY 4.0 Amazon: Amazon
The author Leo Moser (1921–1970) was a prominent Austrian-Canadian mathematician and Professor at the University of Alberta, renowned for his contributions to number theory, combinatorics, and geometry (notably the Moser's worm problem). Throughout his academic career, Professor Moser was celebrated for his passion for problem-solving, providing generations of students with clear and inspiring elementary number theory study guides.
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