A Handbook of Modular Arithmetic
N.B. Singh
This audiobook is narrated by a digital voice.
"A Handbook of Modular Arithmetic" is a beginner-friendly guide that introduces readers to the fascinating realm of modular arithmetic, offering clear explanations, practical examples, and engaging exercises. Designed for those with no mathematical background, the book gently introduces the concepts of modular arithmetic, exploring its applications in computer science, cryptography, and number theory. From understanding basic concepts to unraveling the mysteries of modular arithmetic, this handbook serves as a comprehensive resource for anyone eager to delve into the world of numbers and problem-solving.
Duration - 3h 26m.
Author - N.B. Singh.
Narrator - Digital Voice Mary G.
Published Date - Monday, 20 January 2025.
Copyright - © 2024 N.B. Singh ©.
Location:
United States
Description:
This audiobook is narrated by a digital voice. "A Handbook of Modular Arithmetic" is a beginner-friendly guide that introduces readers to the fascinating realm of modular arithmetic, offering clear explanations, practical examples, and engaging exercises. Designed for those with no mathematical background, the book gently introduces the concepts of modular arithmetic, exploring its applications in computer science, cryptography, and number theory. From understanding basic concepts to unraveling the mysteries of modular arithmetic, this handbook serves as a comprehensive resource for anyone eager to delve into the world of numbers and problem-solving. Duration - 3h 26m. Author - N.B. Singh. Narrator - Digital Voice Mary G. Published Date - Monday, 20 January 2025. Copyright - © 2024 N.B. Singh ©.
Language:
English
Preface
Duration:00:01:28
Introduction
Duration:00:00:03
Background
Duration:00:03:05
Motivation
Duration:00:06:55
Scope and Objectives
Duration:00:06:39
Basic Concepts
Duration:00:00:03
Definition of Modular Arithmetic
Duration:00:10:21
Modulo Operations
Duration:00:06:37
Congruence
Duration:00:06:48
Arithmetic Operations
Duration:00:00:04
Addition and Subtraction
Duration:00:05:59
Multiplication
Duration:00:06:25
Division
Duration:00:04:42
Division and Fermat’s Little Theorem
Duration:00:00:30
Division in Clock Arithmetic
Duration:00:00:22
Extended Modular Division
Duration:00:00:19
Properties of Modular Arithmetic
Duration:00:00:04
Associativity
Duration:00:07:28
Commutativity
Duration:00:06:58
Distributive Property
Duration:00:07:10
Cancellation Property
Duration:00:06:12
Applications
Duration:00:00:03
Cryptography
Duration:00:08:15
Number Theory
Duration:00:08:03
Computer Science
Duration:00:07:57
Advanced Topics
Duration:00:00:03
Chinese Remainder Theorem
Duration:00:09:55
Fermat’s Little Theorem
Duration:00:05:34
Euler’s Totient Function
Duration:00:05:00
Modular Linear Equations
Duration:00:00:04
Solution Methods
Duration:00:05:57
Linear Diophantine Equations
Duration:00:05:37
Finite Fields
Duration:00:00:03
Definition
Duration:00:05:05
Operations in Finite Fields
Duration:00:05:47
Coding Theory
Duration:00:00:03
Linear Block Codes
Duration:00:06:47
Cyclic Codes
Duration:00:05:40
Error Detection and Correction
Duration:00:07:02
Future Directions
Duration:00:00:03
Open Problems
Duration:00:05:15
Trends in Research
Duration:00:06:02
Conclusion
Duration:00:00:03
Summary
Duration:00:04:47
Closing Remarks
Duration:00:07:47