Tag: Pre-Algebra


Near Rings, Fuzzy Ideals and Graph Theory by Bhavanari Satyanarayana and Kuncham Syam Prasad

Graph Theory 

Preface Near rings, fuzzy ideals, and graph theory is a very fascinating course. Near ring theory has enormous applications in different subject areas such as digital computing, sequential mechanics, automata theory, graph theory, and combinatorics. The frst step toward near rings was axiomatic research done by Dickson in 1905. He exhibited that there do exist “felds with only one distributive law.” Near rings arise in a natural way. The set M(G) of all mappings of a group (G, ) into itself, with the usual addition and composition of mappings becomes…

MATLAB Numerical Calculations by Cesar Perez Lopez

Mathematics Books MATLAB 

Introduction MATLAB is the tool of the modern day mathematician or engineer. Te incredible deep functionality of MATLAB makes what would have taken hours 40 years ago, often less than a minute with MATLAB built in functions. MATLAB enables you to explore multiple approaches and reach a solution faster often more accurately than with other tools or traditional programming languages, such as C/C++ or Java. More importantly, it has changed the way we learn and made getting solutions immensely simpler. So, you can now focus on the application, instead 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…

Download Free Algebras, Rings and Modules Non-commutative Algebras and Rings Author Michiel Hazewinkel and Nadiya Gubareni

Algebra Books PDF 

CONTENTS Preface v 1. Preliminaries 1 1.1 Basic Concepts Concerning Rings and Modules 1 1.2 Categories and Functors 10 1.3 Tensor Product of Modules 15 1.4 Direct and Inverse Limits 17 1.5 Projective, Injective, and Flat Modules 19 1.6 The Functor Tor 23 1.7 The Functor Ext 24 1.8 Hereditary and Semihereditary Rings 26 1.9 Semiperfect and Perfect Rings 28 1.10 Serial and Semidistributive Rings 31 1.11 Classical Rings of Fractions 34 1.12 Quivers of Algebras and Rings 35 2. Basic General Constructions of Groups and Rings 37 2.1 Direct…

Quantum Physics for Scientists and Technologists By Paul Sanghera

Physics Books 

This book demystifies difficult concepts and views the subject, and explains key concepts and phenomena in the language of non-physics majors and with simple math, assuming no prior knowledge of the topic. This book is designed as a complete course in quantum mechanics for senior undergraduates and first-year graduate students in non-physics majors and applies to courses such as modern physics, physical chemistry, and nanotechnology. The book presents the comprehensive coverage of quantum theory supported by experimental results and explained through applications and examples is presented without the use of…

Critical SAT Math Formulas

Mathematics Articles 

The SAT math test is unlike any math test you’ve taken before. It’s designed to take concepts you’re used to and make you apply them in new (and often strange) ways. It’s tricky, but with attention to detail and knowledge of the basic formulas and concepts covered by the test, you can improve your score. So what formulas do you need to have memorized for the SAT math section before the day of the test? In this complete guide, I’ll cover every critical formula you MUST know before you sit down…

Pocket Book of Integrals and Mathematical Formulas 4th Edition By Ronald J. Tallarida

Mathematics Books Number Theory 

Introduction Convenient Organization of Essential Material so You Can Look up Formulas Fast Containing a careful selection of standard and timely topics, the Pocket Book of Integrals and Mathematical Formulas, Fourth Edition presents many numerical and statistical tables, scores of worked examples, and the most useful mathematical formulas for engineering and scientific applications. This fourth edition of a bestseller provides even more comprehensive coverage with the inclusion of several additional topics, all while maintaining its accessible, clear style and handy size. New to the Fourth Edition •          An expanded chapter on series that…