Sign-In
Cart
An Introduction to Abstract Algebra
Paperback
ISBN13: 9789811247552
Publisher: World Scientific Publishing Company
Published: Jun 5 2022
Pages: 438
Weight: 1.28
Height: 0.89 Width: 6.00 Depth: 9.00
Language: English
This book is a textbook for a semester-long or year-long introductory course in abstract algebra at the upper undergraduate or beginning graduate level.
It treats set theory, group theory, ring and ideal theory, and field theory (including Galois theory), and culminates with a treatment of Dedekind rings, including rings of algebraic integers.
In addition to treating standard topics, it contains material not often dealt with in books at this level. It provides a fresh perspective on the subjects it covers, with, in particular, distinctive treatments of factorization theory in integral domains and of Galois theory.
As an introduction, it presupposes no prior knowledge of abstract algebra, but provides a well-motivated, clear, and rigorous treatment of the subject, illustrated by many examples. Written with an eye toward number theory, it contains numerous applications to number theory (including proofs of Fermat's theorem on sums of two squares and of the Law of Quadratic Reciprocity) and serves as an excellent basis for further study in algebra in general and number theory in particular.
Each of its chapters concludes with a variety of exercises ranging from the straightforward to the challenging in order to reinforce students' knowledge of the subject. Some of these are particular examples that illustrate the theory while others are general results that develop the theory further.
1 different editions
Also available
Also from
Weintraub Steven H
Also in
Algebra
Regents Exams and Answers: Algebra I, Fifth Edition, (Barron's New York Regents)
Rubinstein, Gary M.
Paperback
Let's Review Regents: Algebra I, Fifth Edition (Barron's New York Regents)
Rubinstein, Gary M.
Paperback
Regents Exams and Answers: Algebra II, Fifth Edition (Barron's New York Regents)
Rubinstein, Gary Michael
Paperback
Pre Algebra Doodle Notes: a complete course of brain-based interactive guided visual notes for Middle School Math Concepts
Danziger, Brigid
Giraffe, Math
Paperback
Let's Review Regents: Algebra II, Fifth Edition (Barron's New York Regents)
Rubenstein, Gary M., M. S.
Paperback
Mechanical Engineering for Makers: A Hands-On Guide to Designing and Making Physical Things
Najia, Samer
Bunnell, Brian
Paperback
6th and 7th Grade Math Workbook: Math Practice Book for Grade 6 and 7 [New Edition Includes 900] Practice Questions]
Apex Test Prep
Paperback
Summit Math Algebra 1 Book 5: Factoring Polynomials and Solving Quadratic Equations
Joujan, Alex
Paperback
Mathematical Foundations of Quantum Computing: A Scaffolding Approach
Cheng, Ran
Lee, Peter
Yu, James
Hardcover
Basic Math & Pre-Algebra: 1001 Practice Problems for Dummies (+ Free Online Practice)
Zegarelli, Mark
Paperback
Basic Math Refresher for Adults - A Math Workbook with Practice Problems and Online Video Tutorials: [2nd Edition]
Bowling, Matthew
Paperback
HSPT Full Prep Book for Catholic High Schools: Be ready and fearless! Detailed answer explanations
Johnson, Henry N.
Paperback
Math for Programmers: 3D Graphics, Machine Learning, and Simulations with Python
Orland, Paul
Paperback
Math Fundamentals 2 - Algebra: For Middle School - A Quickstudy Laminated Reference Guide
Wright, Susan
LLC
Warren, Peggy
Other
Elementary Mathematics from an Advanced Standpoint: Arithmetic, Algebra, Analysis
Klein, Felix
Paperback
Dilation and Model Theory for Pairs of Commuting Contraction Operators
Sau, Haripada
Ball, Joseph A.
Hardcover
Mathematics: Its Content, Methods and Meaning
Aleksandrov, A. D.
Kolmogorov, A. N.
Lavrent'ev, M. a.
Paperback
Pre-Algebra for Beginners: The Ultimate Step by Step Guide to Preparing for the Pre-Algebra Test
Nazari, Reza
Paperback
Graph Paper Notebook: Beautiful Pink Marble and Rose Gold 8 x 10 inches - 5 x 5 Squares per inch, Quad Ruled Cute Graph Paper Composition No
Blush Marble Notebooks
Paperback
Radical Equations: Civil Rights from Mississippi to the Algebra Project
Moses, Robert
Cobb, Charles E.
Paperback
Math Geek: From Klein Bottles to Chaos Theory, a Guide to the Nerdiest Math Facts, Theorems, and Equations
Rosen, Raphael
Paperback
Ideals, Varieties, and Algorithms: An Introduction to Computational Algebraic Geometry and Commutative Algebra
Cox, David A.
Little, John
O'Shea, Donal
Hardcover
Mathematical Foundations of Quantum Computing: A Scaffolding Approach
Cheng, Ran
Lee, Peter
Yu, James
Paperback
Topics in Number Theory, Volumes I and II
Leveque, William J.
Mathematics
Leveque, William Judson
Paperback
ACCUPLACER Math Prep: ACCUPLACER Math Test Study Guide with Two Practice Tests [Includes Detailed Answer Explanations]
Tpb Publishing
Paperback
Mathematics for the IB Diploma: Analysis and Approaches SL: Hodder Education Group
Fannon, Paul
Ward, Stephen
Paperback
Introductory Quantum Mechanics with MATLAB: For Atoms, Molecules, Clusters, and Nanocrystals
Chelikowsky, James R.
Paperback
Algebra II: 1001 Practice Problems for Dummies (+ Free Online Practice)
Sterling, Mary Jane
Paperback
No-Nonsense Algebra, 2nd Edition: Part of the Mastering Essential Math Skills Series
Fisher, Richard W.
Paperback
4th Grade Math Workbook: 1500+ Practice Questions for Daily Exercise [Math Workbooks Grade 4]
Apex Test Prep
Paperback
Basic Mathematics for Adult Beginners: An Easy Math Refresher Guide for Adults Restarting Their Education Journey
E. Thompson, Charles
Paperback