Elementary number theory / by Dr. Pio J. Arias

By:

Arias, Pio J

Material type: Text

TextBurlington, Ontario: Toronto Academic Press, 2024Description: 241 pages: c olor illustrations; 24 cmContent type:

text

Media type:

unmediated

Carrier type:

volume

ISBN:

9781774697917

Subject(s):

LOC classification:

QA 241 A75 2024

Contents:

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 Unit Introduction 2.1. Definition Of Congruence

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

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Holdings
Item type	Current library	Shelving location	Call number	Status	Date due	Barcode
Book	TUP Manila Library	General Circulation Section-GF	QA 241 A75 2024 (Browse shelf(Opens below))	Available		P00034510

Includes bibliographic references and index.

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
Unit Introduction
2.1. Definition Of Congruence

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

Arias, P. J. (2024). Elementary number theory. Toronto Academic Press.

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