An Introduction to Number Theory by J,.J.P. Veerman
An Introduction to Number Theory - Table of Contents
PART-I INTRODUCTION TO NUMBER THEORY
- 1. A Quick Tour of Number Theory
- 2. Fundamental Theorem of Arithmetic
- 3. Linear Diophantine Equations
- 4. Number Theoretic Functions
- 5. Modular Arithmetic and Primes
- 6. Continued Fractions
PART-II CURRENTS IN NUMBER THEORY: ALGEBRAIC, PROBABILISTIC, AND ANALYTIC
- 7. Fields, Rings, and Ideals
- 8. Factorization in Rings
- 9. Ergodic Theory
- 10. Three Maps and the Real Numbers
- 11. Cauchy Integral Formula
- 12. The Prime Number Theorem
PART-III TOPICS IN NUMBER THEORY
- 13. Primes in Arithmetic Progressions
- 14. Birkhoff Ergodic Theorem
What You Will Learn in An Introduction to Number Theory
An Introduction to Number Theory by J.J.P. Veerman is a contemporary and highly accessible textbook designed for undergraduate students in mathematics and computer science. Serving as a fundamental reference, this volume provides a structured foundation for an introduction to number theory problem solving practice.
The book systematically covers essential topics including prime distribution, modular arithmetic, public-key cryptography (RSA algorithm), continued fractions, quadratic reciprocity, and Diophantine approximation. By integrating classical theory with modern computational applications, Veerman enables readers to perform essential number theory cryptography derivations with confidence.
Appreciated for its direct approach, concise proofs, and practical relevance to modern computer science, this text remains an excellent learning resource. Veerman’s clear structure arms students with necessary analytical tools for mastering modern number theory principles.
Book Details & Specifications
Title:
An Introduction to Number Theory by J,.J.P. Veerman
Publisher:
Portland State University
Year:
2022
Pages:
340
Type:
PDF
Language:
English
ISBN-10 #:
0321816196
ISBN-13 #:
978-0321816191
License:
CC BY-NC 4.0
Amazon:
Amazon
About the Author: J.J.P. (Jan) Veerman
The author J.J.P. (Jan) Veerman
is a Professor of Mathematics at Portland State University, widely known for his research in dynamical systems, mathematical physics, and number theory.
Throughout his academic tenure, Professor Veerman has been dedicated to clear mathematical pedagogy, providing students with insightful modern number theory study guides.
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