Elementary Number Theory / Pio J. Arias.

Format:

Book

Author/Creator:

Arias, Pio J., author.

Language:

English

Subjects (All):

Cryptography.

Number theory.

Physical Description:

1 online resource (261 pages)

Edition:

First edition.

Place of Publication:

Burlington, ON : Toronto Academic Press, [2024]

Summary:

This book serves as a comprehensive guide to Elementary Number Theory, a crucial branch of mathematics focusing on the properties and relationships of integers. The author, Dr. Pio J. Arias, covers a wide range of topics from the fundamentals to advanced theories, including divisibility, prime numbers, congruences, and Diophantine equations. The book explores the application of number theory in various fields such as cryptography, computer science, and physics, making it a valuable resource for students, scholars, and professionals interested in mathematics. Written in an engaging and informative style, it aims to provide a thorough understanding of number theory's essential principles and applications. Generated by AI.

Contents:

Cover

Title Page

Copyright

About The Author

Contents

List of Figures

List of Abbreviations

Preface

Chapter 1: Introduction To Number Theory

Unit Introduction

1.1. Definition And Brief History Of Number Theory

1.2. Applications Of Number Theory In Various Fields

1.3. Fundamentals Of Number Theory

1.4. Diophantine Equations

1.5. Number Theory Functions

1.6. Distribution Of Primes

1.7. Cryptography

1.8. Continued Fractions

1.9. Algebraic Number Theory

1.10. Analytic Number Theory

1.11. Applications Of Number Theory

1.12. Theorems In Elementary Number Theory

1.13. Future Directions In Number Theory Research

Summary

Review Questions

Multiple Choice Questions

References

Chapter 2: Congruences

2.1. Definition Of Congruence Generated by AI.

Notes:

Description based on publisher supplied metadata and other sources.

Part of the metadata in this record was created by AI, based on the text of the resource.

Description based on print version record.

Includes bibliographical references and index.

ISBN:

9781779562043

1779562047

OCLC:

1450108126