Basic Concepts of Algebra


Book Description

Book DescriptionBasic Concepts of Algebra is an excellent refresher for algebra. It is also an indispensable reference book re-definitions, theory and steps in solving algebraic problems. It covers a wide range of the necessary concepts and content that will help the learner to develop a good background so as to waltz through algebra. The book has twelve chapters: Numbers; Algebraic Expressions; Indices 1, Roots and Radicals; Indices 2; Equations 1; Equations 2; Inequalities; Factorization; Quadratic Equations; Graphing; Solving Systems of Linear Equations and Logarithms. The goal of this book is to give the learner the necessary and required concepts, skills and knowledge so as to be successful in algebra. It is the author's view that a good grasp of the basic concepts of algebra will enable and encourage competence in statistics, geometry, trigonometry and calculus. The learner is therefore encouraged to go through each topic in this book meticulously and remember to practice questions from the exercises. The concepts are set out in a clear format with definitions, examples and exercises. To make sure that you understand the material, each chapter ends with a summary exercise. You should get the most from this book if you work steadily from the beginning to the end in each chapter. Each chapter has the relevant topics and sub-topics with definitions and examples that will allow the learner to easily workout the problems in the exercises.This book is suitable for high school and first year college students. It may be introduced at the upper elementary level and be used right up to adult education. The book is good for those persons who are a bit rusty in algebra or have forgotten content materials because it has been awhile since they have taken an algebra course. If such is the case then this is the perfect book for you to refresh your skills and sharpen your proficiency in core concepts of algebra.Finally I would like to reiterate that algebra can be fun but the learner has to first get a good grasp of the basic concepts so as to have a rewarding experience which will not only advance competency level in algebra but will be favorable for further studies in mathematics. Remember to make a firm commitment to spend the time to study and practice your algebra.




Basic Algebra


Book Description

Basic Algebra and Advanced Algebra systematically develop concepts and tools in algebra that are vital to every mathematician, whether pure or applied, aspiring or established. Together, the two books give the reader a global view of algebra and its role in mathematics as a whole. The presentation includes blocks of problems that introduce additional topics and applications to science and engineering to guide further study. Many examples and hundreds of problems are included, along with a separate 90-page section giving hints or complete solutions for most of the problems.




Fundamental Concepts of Algebra


Book Description

Uncommonly interesting introduction illuminates complexities of higher mathematics while offering a thorough understanding of elementary mathematics. Covers development of complex number system and elementary theories of numbers, polynomials and operations, determinants, matrices, constructions and graphical representations. Several exercises — without solutions.




Basic Topics In Algebra - I


Book Description

This book for the student of semester-I of M.Sc. of Punjabi University Patiala; Topics of this book are:- Review of groups, subgroups, cosets, normal subgroups, quotient groups, homomorhisms and isomorphism theorems. Normal and subnormal series, Solvable groups, Nilpotent groups, Composition Series, Jordan-Holder theorem for groups. Group action, Stabilizer, orbit, Review of class equation, Permutation groups, cyclic decomposition, Alternating group A_(n,) Simplicity of A_(n,) Structure theory of groups, Fundamental theorem of finitely generated abelian groups, Invariants of a finite abelian group, Sylow's theorems, Groups of order P^2,pq. Review of rings and homorphism of rings, Ideals, Algebra of Ideals, Maximal and prime ideals, ideal in Quotient rings, Field of Quotients of integral Domain.




Basic Algebra I


Book Description

A classic text and standard reference for a generation, this volume covers all undergraduate algebra topics, including groups, rings, modules, Galois theory, polynomials, linear algebra, and associative algebra. 1985 edition.




Advanced Algebra


Book Description

Basic Algebra and Advanced Algebra systematically develop concepts and tools in algebra that are vital to every mathematician, whether pure or applied, aspiring or established. Advanced Algebra includes chapters on modern algebra which treat various topics in commutative and noncommutative algebra and provide introductions to the theory of associative algebras, homological algebras, algebraic number theory, and algebraic geometry. Many examples and hundreds of problems are included, along with hints or complete solutions for most of the problems. Together the two books give the reader a global view of algebra and its role in mathematics as a whole.




The Humongous Book of Algebra Problems


Book Description

Presents algebra exercises with easy-to-follow guidelines, and includes over one thousand problems in numerous algebraic topics.




Jousting Armadillos: An Introduction to Algebra - Student Text and Workbook


Book Description

First in the Arbor Algebra series. A writing-based, common sense, whimsical & engaging introduction to algebra for middle-grade math students.




Topics in Algebra


Book Description

New edition includes extensive revisions of the material on finite groups and Galois Theory. New problems added throughout.




Basic Algebra


Book Description

This is the first volume of a revised edition of P.M. Cohn's classic three-volume text Algebra, widely regarded as one of the most outstanding introductory algebra textbooks. This volume covers the important results of algebra. Readers should have some knowledge of linear algebra, groups and fields, although all the essential facts and definitions are recalled.