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
Duración:00:01:28
Introduction
Duración:00:00:03
Background
Duración:00:03:05
Motivation
Duración:00:06:55
Scope and Objectives
Duración:00:06:39
Basic Concepts
Duración:00:00:03
Definition of Modular Arithmetic
Duración:00:10:21
Modulo Operations
Duración:00:06:37
Congruence
Duración:00:06:48
Arithmetic Operations
Duración:00:00:04
Addition and Subtraction
Duración:00:05:59
Multiplication
Duración:00:06:25
Division
Duración:00:04:42
Division and Fermat’s Little Theorem
Duración:00:00:30
Division in Clock Arithmetic
Duración:00:00:22
Extended Modular Division
Duración:00:00:19
Properties of Modular Arithmetic
Duración:00:00:04
Associativity
Duración:00:07:28
Commutativity
Duración:00:06:58
Distributive Property
Duración:00:07:10
Cancellation Property
Duración:00:06:12
Applications
Duración:00:00:03
Cryptography
Duración:00:08:15
Number Theory
Duración:00:08:03
Computer Science
Duración:00:07:57
Advanced Topics
Duración:00:00:03
Chinese Remainder Theorem
Duración:00:09:55
Fermat’s Little Theorem
Duración:00:05:34
Euler’s Totient Function
Duración:00:05:00
Modular Linear Equations
Duración:00:00:04
Solution Methods
Duración:00:05:57
Linear Diophantine Equations
Duración:00:05:37
Finite Fields
Duración:00:00:03
Definition
Duración:00:05:05
Operations in Finite Fields
Duración:00:05:47
Coding Theory
Duración:00:00:03
Linear Block Codes
Duración:00:06:47
Cyclic Codes
Duración:00:05:40
Error Detection and Correction
Duración:00:07:02
Future Directions
Duración:00:00:03
Open Problems
Duración:00:05:15
Trends in Research
Duración:00:06:02
Conclusion
Duración:00:00:03
Summary
Duración:00:04:47
Closing Remarks
Duración:00:07:47