Category: Number Theory


Mathematics Books PDF



Machine Analysis with Computer Applications for Mechanical Engineers by James Doane

Machine Design Number Theory 

Contents Preface xvAcknowledgments xviiAbout the companion website xix1 Introductory Concepts 11.1 Introduction to Machines 11.1.1 Brief History of Machines 11.1.2 Why Study Machine Analysis? 51.1.3 Differences between Machine Analysis and Machine Design 61.2 Units 61.2.1 Importance of Units 61.2.2 Unit Systems 61.2.3 Units of Angular Motion 81.2.4 Force and Mass 81.3 Machines and Mechanisms 101.3.1 Machine versus Mechanism 101.3.2 Simple Machines 101.3.3 Static Machine Analysis 111.3.4 Other Types of Machines 141.4 Linkage Mechanisms 141.4.1 Introduction to Linkage Mechanisms 141.4.2 Types of Links 141.4.3 Types of Joints 151.5 Common Types of…

Advanced Modern Algebra Third Edition, Part 1 by Joseph J. Rotman

Modern Algebra Number Theory 

Advanced Modern Algebra Third Edition Contents Preface to Third Edition: Part 1 xi Acknowledgments xiv Part A. Course I 3 Chapter A-1. Classical Formulas 4 Cubics 6 Quartics 9 Chapter A-2. Classical Number Theory 9 Divisibility 16 Euclidean Algorithms 19 Congruence 29 Chapter A-3. Commutative Rings 41 Polynomials 47 Homomorphisms 55 Quotient Rings 62 From Arithmetic to Polynomials 74 Maximal Ideals and Prime Ideals 83 Finite Fields 89 Irreducibility 97 Euclidean Rings and Principal Ideal Domains 104 Unique Factorization Domains Chapter A-4. Groups 115 Permutations 116 Even and Odd 123…