An Introduction to the Theory of Numbers by Leo Moser
An Introduction to the Theory of Numbers - Table of Contents
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
What You Will Learn in An Introduction to the Theory of Numbers
"An Introduction to the Theory of Numbers" by "Leo Moser" is a well-structured textbook designed to introduce students to the fundamentals of "number theory". Written for advanced undergraduates and beginning graduate students, it assumes only basic arithmetic knowledge, such as divisibility and greatest common divisors, and gradually builds toward more complex concepts. Moser’s clear explanations and logical progression make it accessible to learners encountering number theory for the first time.
The book covers essential topics including "prime numbers", "congruences", arithmetic functions, Diophantine equations, and the distribution of primes. It also explores compositions and partitions, irrational numbers, combinatorial number theory, and the geometry of numbers. Each chapter includes exercises and problems designed to reinforce learning and encourage students to engage actively with the material. Moser emphasizes both understanding and application, making abstract concepts tangible through well-chosen examples.
In addition to foundational theory, the textbook provides historical context and highlights connections between different areas of number theory. It is suitable for classroom use or self-study, offering students a comprehensive introduction while also challenging them with unsolved problems to inspire deeper exploration. With its clarity, breadth, and engaging exercises, Moser’s work remains a valuable resource for anyone interested in "elementary number theory" and its applications.
Book Details & Specifications
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
About the Author: Leo Moser
The author
Leo Moser
(1921–1970) was a Canadian mathematician and professor at the "University of Manitoba", recognized for his work in "number theory" and recreational mathematics. He contributed to the study of integer sequences, Diophantine equations, and combinatorial problems, presenting complex concepts in an engaging and accessible way. His book, "An Introduction to the Theory of Numbers", introduces key topics such as "primes", "divisibility", "congruences", and Diophantine problems. Designed for beginners and enthusiasts, it blends rigorous theory with intuitive explanations and examples.
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