Logo

Algebra: Abstract and Concrete

Large book cover: Algebra: Abstract and Concrete

Algebra: Abstract and Concrete
by

Publisher: Semisimple Press
ISBN/ASIN: 0130673420
ISBN-13: 9780130673428
Number of pages: 587

Description:
This text provides a thorough introduction to "modern" or "abstract" algebra at a level suitable for upper-level undergraduates and beginning graduate students. The book addresses the conventional topics: groups, rings, fields, and linear algebra, with symmetry as a unifying theme. This subject matter is central and ubiquitous in modern mathematics and in applications ranging from quantum physics to digital communications. The required background for using this text is a standard first course in linear algebra. Also included is a brief summary of linear algebra in an appendix to help students review. There are also appendices on sets, logic, mathematical induction, and complex numbers. It might also be useful to recommend a short supplementary text on set theory, logic, and proofs to be used as a reference and aid; several such texts are currently available.

Home page url

Download or read it online for free here:
Download link
(5.9MB, PDF)

Similar books

Book cover: Elementary Abstract Algebra: Examples and ApplicationsElementary Abstract Algebra: Examples and Applications
by - Texas A&M University
This book is our best effort at making Abstract Algebra as down-to earth as possible. We use concrete mathematical structures such as the complex numbers, integers mod n, symmetries to introduce some of the beautifully general ideas of group theory.
(3319 views)
Book cover: Elementary Abstract AlgebraElementary Abstract Algebra
by - University of South Florida
This book is written as a one semester introduction to abstract algebra. Applications of abstract algebra are not discussed. A certain amount of mathematical maturity, some familiarity with basic set theory, calculus, and linear algebra, is assumed.
(11036 views)
Book cover: Abstract Algebra: Theory and ApplicationsAbstract Algebra: Theory and Applications
by - Virginia Commonwealth University Mathematics
This text is intended for a one- or two-semester undergraduate course in abstract algebra and covers the traditional theoretical aspects of groups, rings, and fields. Many applications are included, including coding theory and cryptography.
(10614 views)
Book cover: Abstract Algebra for Polynomial OperationsAbstract Algebra for Polynomial Operations
by
The focus of this book is applications of Abstract Algebra to polynomial systems. It explores basic problems like polynomial division, solving systems of polynomials, formulas for roots of polynomials, counting integral roots of equations, etc.
(3258 views)