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Basic Algebra I

Basic Algebra I

Author: Nathan Jacobson
Publisher: Courier Corporation
ISBN: 0486135225
Pages: 528
Year: 2012-12-11
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.
Basic Algebra II

Basic Algebra II

Author: Nathan Jacobson
Publisher: Courier Corporation
ISBN: 0486135217
Pages: 704
Year: 2012-06-08
This classic text and standard reference comprises all subjects of a first-year graduate-level course, including in-depth coverage of groups and polynomials and extensive use of categories and functors. 1989 edition.
Basic Algebra

Basic Algebra

Author: Nathan Jacobson
Publisher: W H Freeman & Company
ISBN:
Pages: 499
Year: 1985
The second edition of a book designed to introduce mathematics students to abstract algebra.
Basic Algebra

Basic Algebra

Author: Anthony W. Knapp, Henry Wilson Scott
Publisher:
ISBN: 1429799935
Pages: 172
Year: 2009-06-12
Originally published in 1908. This volume from the Cornell University Library's print collections was scanned on an APT BookScan and converted to JPG 2000 format by Kirtas Technologies. All titles scanned cover to cover and pages may include marks notations and other marginalia present in the original volume.
Basic Algebra

Basic Algebra

Author: Anthony W. Knapp
Publisher: Springer Science & Business Media
ISBN: 0817645292
Pages: 735
Year: 2007-07-28
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.
A Book of Abstract Algebra

A Book of Abstract Algebra

Author: Charles C Pinter
Publisher: Courier Corporation
ISBN: 0486474178
Pages: 384
Year: 2010-01-14
Accessible but rigorous, this outstanding text encompasses all of the topics covered by a typical course in elementary abstract algebra. Its easy-to-read treatment offers an intuitive approach, featuring informal discussions followed by thematically arranged exercises. This second edition features additional exercises to improve student familiarity with applications. 1990 edition.
Basic Linear Algebra

Basic Linear Algebra

Author: Thomas S. Blyth, Edmund F. Robertson
Publisher: Springer Science & Business Media
ISBN: 1447134966
Pages: 201
Year: 2013-03-14
Basic Linear Algebra is a text for first year students, working from concrete examples towards abstract theorems, via tutorial-type exercises. The book explains the algebra of matrices with applications to analytic geometry, systems of linear equations, difference equations, and complex numbers. Linear equations are treated via Hermite normal forms, which provides a successful and concrete explanation of the notion of linear independence. Another highlight is the connection between linear mappings and matrices, leading to the change of basis theorem which opens the door to the notion of similarity. The authors are well known algebraists with considerable experience of teaching introductory courses on linear algebra to students at St Andrews. This book is based on one previously published by Chapman and Hall, but it has been extensively updated to include further explanatory text and fully worked solutions to the exercises that all 1st year students should be able to answer.
Lie Algebras

Lie Algebras

Author: Nathan Jacobson
Publisher: Courier Corporation
ISBN: 0486136795
Pages: 352
Year: 2013-09-16
DIVDefinitive treatment of important subject in modern mathematics. Covers split semi-simple Lie algebras, universal enveloping algebras, classification of irreducible modules, automorphisms, simple Lie algebras over an arbitrary field, etc. Index. /div
Pre-Algebra Demystified

Pre-Algebra Demystified

Author: Allan Bluman
Publisher: McGraw Hill Professional
ISBN: 0071470972
Pages: 290
Year: 2004-05-25
A self-teaching guide to basic arithmetic, covering whole numbers, fractions, percentages, ratio and proportion, basic algebra, basic geometry, basic statistics and probability You'll be able to learn more in less time, evaluate your areas of strength and weakness and reinforce your knowledge and confidence.
Basic Abstract Algebra

Basic Abstract Algebra

Author: P. B. Bhattacharya, S. K. Jain, S. R. Nagpaul
Publisher: Cambridge University Press
ISBN: 0521466296
Pages: 487
Year: 1994-11-25
This is a self-contained text on abstract algebra for senior undergraduate and senior graduate students, which gives complete and comprehensive coverage of the topics usually taught at this level. The book is divided into five parts. The first part contains fundamental information such as an informal introduction to sets, number systems, matrices, and determinants. The second part deals with groups. The third part treats rings and modules. The fourth part is concerned with field theory. Much of the material in parts II, III, and IV forms the core syllabus of a course in abstract algebra. The fifth part goes on to treat some additional topics not usually taught at the undergraduate level, such as the Wedderburn-Artin theorem for semisimple artinian rings, Noether-Lasker theorem, the Smith-Normal form over a PID, finitely generated modules over a PID and their applications to rational and Jordan canonical forms and the tensor products of modules. Throughout, complete proofs have been given for all theorems without glossing over significant details or leaving important theorems as exercises. In addition, the book contains many examples fully worked out and a variety of problems for practice and challenge. Solution to the odd-numbered problems are provided at the end of the book to encourage the student in problem solving. This new edition contains an introduction to categories and functors, a new chapter on tensor products and a discussion of the new (1993) approach to the celebrated Noether-Lasker theorem. In addition, there are over 150 new problems and examples.
Algebra Demystified

Algebra Demystified

Author: Rhonda Huettenmueller
Publisher: McGraw Hill Professional
ISBN: 0071412107
Pages: 349
Year: 2002-08-22
Whether you want to learn more about algebra, refresh your skills, or improve your classroom performance, Algebra Demystified is the perfect shortcut. Knowing algebra gives you a better choice of jobs, helps you perform better in science, computing, and math courses, ups your score on competitive exams, and improves your ability to do daily computations. And there's no faster or more painless way to master the subject than Algebra Demystified! Entertaining author and experienced teacher Rhonda Huettenmueller provides all the math background you need and uses practical examples, real data, and a totally different approach to life the "myst" from algebra. With Algebra Demystified, you master algebra one simple step at a time--at your own speed. Unlike most books on the subject, general concepts are presented first --and the details follow. In order to make the process as clear and simple as possible, long computations are presented in a logical, layered progression with just one execution per step. THIS ONE-OF-A-KIND SELF-TEACHING TEXT OFFERS: Questions at the end of every chapter and section to reinforce learning and pinpoint weaknesses A 100-questions final exam for self-assessment An intensive focus on word problems and fractions--help where it's most often needed Detailed examples and solutions
Advanced Modern Algebra: Third Edition, Part 2

Advanced Modern Algebra: Third Edition, Part 2

Author: Joseph J. Rotman
Publisher: American Mathematical Soc.
ISBN: 1470423111
Pages: 558
Year: 2017-08-15
This book is the second part of the new edition of Advanced Modern Algebra (the first part published as Graduate Studies in Mathematics, Volume 165). Compared to the previous edition, the material has been significantly reorganized and many sections have been rewritten. The book presents many topics mentioned in the first part in greater depth and in more detail. The five chapters of the book are devoted to group theory, representation theory, homological algebra, categories, and commutative algebra, respectively. The book can be used as a text for a second abstract algebra graduate course, as a source of additional material to a first abstract algebra graduate course, or for self-study.
Introduction to Algebra

Introduction to Algebra

Author: Peter J. Cameron
Publisher: Oxford University Press on Demand
ISBN: 0198569130
Pages: 342
Year: 2008
This Second Edition of a classic algebra text includes updated and comprehensive introductory chapters,new material on axiom of Choice, p-groups and local rings, discussion of theory and applications, and over 300 exercises. It is an ideal introductory text for all Year 1 and 2 undergraduate students in mathematics.
Algebra

Algebra

Author: Michael Artin
Publisher: Pearson Higher Ed
ISBN: 0321998030
Pages: 560
Year: 2014-01-14
This is the eBook of the printed book and may not include any media, website access codes, or print supplements that may come packaged with the bound book. Algebra, Second Edition, by Michael Artin, provides comprehensive coverage at the level of an honors-undergraduate or introductory-graduate course. The second edition of this classic text incorporates twenty years of feedback plus the author’s own teaching experience. This book discusses concrete topics of algebra in greater detail than others, preparing readers for the more abstract concepts; linear algebra is tightly integrated throughout.
Handbook of Linear Algebra, Second Edition

Handbook of Linear Algebra, Second Edition

Author: Leslie Hogben
Publisher: CRC Press
ISBN: 1498785603
Pages: 1904
Year: 2016-03-08
With a substantial amount of new material, the Handbook of Linear Algebra, Second Edition provides comprehensive coverage of linear algebra concepts, applications, and computational software packages in an easy-to-use format. It guides you from the very elementary aspects of the subject to the frontiers of current research. Along with revisions and updates throughout, the second edition of this bestseller includes 20 new chapters. New to the Second Edition Separate chapters on Schur complements, additional types of canonical forms, tensors, matrix polynomials, matrix equations, special types of matrices, generalized inverses, matrices over finite fields, invariant subspaces, representations of quivers, and spectral sets New chapters on combinatorial matrix theory topics, such as tournaments, the minimum rank problem, and spectral graph theory, as well as numerical linear algebra topics, including algorithms for structured matrix computations, stability of structured matrix computations, and nonlinear eigenvalue problems More chapters on applications of linear algebra, including epidemiology and quantum error correction New chapter on using the free and open source software system Sage for linear algebra Additional sections in the chapters on sign pattern matrices and applications to geometry Conjectures and open problems in most chapters on advanced topics Highly praised as a valuable resource for anyone who uses linear algebra, the first edition covered virtually all aspects of linear algebra and its applications. This edition continues to encompass the fundamentals of linear algebra, combinatorial and numerical linear algebra, and applications of linear algebra to various disciplines while also covering up-to-date software packages for linear algebra computations.