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Introductory Abstract Algebra

e-books in Introductory Abstract Algebra category

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.
(1169 views)
Book cover: Advanced AlgebraAdvanced Algebra
by - Birkhäuser ,
This book 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.
(895 views)

Book cover: Basic AlgebraBasic Algebra
by ,
Contents: Preliminaries about the Integers, Polynomials, and Matrices; Vector Spaces over Q, R, and C; Inner-Product Spaces; Groups and Group Actions; Theory of a Single Linear Transformation; Multilinear Algebra; Advanced Group Theory; etc.
(1748 views)
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.
(1009 views)
Book cover: Introduction to Abstract AlgebraIntroduction to Abstract Algebra
by - Creighton University ,
This book is intended for a one-year introductory course in abstract algebra with some topics of an advanced level. We give a rigorous treatment of the fundamentals of abstract algebra with numerous examples to illustrate the concepts.
(4666 views)
Book cover: Notes on Algebraic StructuresNotes on Algebraic Structures
by - Queen Mary, University of London ,
After a short introductory chapter consisting mainly of reminders about such topics as functions, equivalence relations, matrices, polynomials and permutations, the notes fall into two chapters, dealing with rings and groups respectively.
(3483 views)
Book cover: Ten Chapters of the Algebraical ArtTen Chapters of the Algebraical Art
by - Queen Mary, University of London ,
These notes are intended for an introduction to algebra. The text is intended as a first introduction to the ideas of proof and abstraction in mathematics, as well as to the concepts of abstract algebra (groups and rings).
(4208 views)
Book cover: Abstract AlgebraAbstract Algebra
by - Wikibooks ,
This book is on abstract algebra, an advanced set of topics related to algebra, including groups, rings, ideals, fields, and more. Readers of this book are expected to have read and understand Algebra, and Linear Algebra books.
(5360 views)
Book cover: Algebraic MethodsAlgebraic Methods
by - Nanyang Technological University ,
Contents: Group Theory (Groups and subgroups, The isomorphism theorems); Ring Theory (Rings, ideals and homomorphisms); Field Theory (Field extension and minimal polynomial); Galois Theory (Galois group and fixed fields).
(5709 views)
Book cover: Abstract Algebra IAbstract Algebra I
by - Arkansas Tech University ,
Contents: Concept of a Mapping; Composition; Binary Operations; Composition of Mappings as a Binary Operation; Definition and Examples of Groups; Permutation Groups; Subgroups; Symmetry Groups; Equivalence Relations; The Division Algorithm; etc.
(6218 views)
Book cover: Algebra: A Computational IntroductionAlgebra: A Computational Introduction
by - Chapman & Hall ,
The book emphasizes the computational aspects of modern abstract algebra. Author integrated the software Mathematica into the discussions -- especially in the group theory sections -- but is careful not to make any logical reliance on this software.
(6471 views)
Book cover: Abstract Algebra Done ConcretelyAbstract Algebra Done Concretely
by - Purdue University ,
This book covers basic abstract algebra. Rather than spending a lot of time on axiomatics and serious theorem proving, the author wanted to spend more time with examples, simple applications and with making scenic detours.
(8402 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.
(8347 views)
Book cover: Abstract AlgebraAbstract Algebra
by - Waveland ,
This text contains many of the definitions and theorems from the area of mathematics called abstract algebra. It is intended for undergraduates taking an abstract algebra class, as well as for students taking their first graduate algebra course.
(25665 views)
Book cover: Intro to Abstract AlgebraIntro to Abstract Algebra
by ,
The text covers basic algebra of polynomials, induction, sets, counting principles, integers, unique factorization into primes, Sun Ze's theorem, good algorithm for exponentiation, Fermat's little theorem, Euler's theorem, public-key ciphers, etc.
(8249 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.
(8966 views)
Book cover: Algebra: Abstract and ConcreteAlgebra: Abstract and Concrete
by - Semisimple Press ,
An introduction to modern and abstract algebra at upper undergraduate level and beginning graduate students. The book treats conventional topics: linear algebra, groups, rings, fields, and symmetry as a unifying concept.
(33824 views)
Book cover: Elements of Abstract and Linear AlgebraElements of Abstract and Linear Algebra
by ,
Covers abstract algebra in general, with the focus on linear algebra, intended for students in mathematics, physical sciences, and computer science. The presentation is compact, but still somewhat informal. The proofs of many theorems are omitted.
(10366 views)