
Discovering Abstract Algebra
John K. Osoinach Jr(Author)
American Mathematical Society (Publisher)
Published on 30. January 2022
Book
Paperback/Softback
199 pages
978-1-4704-6442-4 (ISBN)
Description
Discovering Abstract Algebra takes an Inquiry-Based Learning approach to the subject, leading students to discover for themselves its main themes and techniques. Concepts are introduced conversationally through extensive examples and student investigation before being formally defined. Students will develop skills in carefully making statements and writing proofs, while they simultaneously build a sense of ownership over the ideas and results. The book has been extensively tested and reinforced at points of common student misunderstanding or confusion, and includes a wealth of exercises at a variety of levels. The contents were deliberately organized to follow the recommendations of the MAA's 2015 Curriculum Guide. The book is ideal for a one- or two-semester course in abstract algebra, and will prepare students well for graduate-level study in algebra.
More details
Series
Language
English
Place of publication
Providence
United States
Target group
Professional and scholarly
Dimensions
Height: 254 mm
Width: 178 mm
Weight
392 gr
ISBN-13
978-1-4704-6442-4 (9781470464424)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Person
John K. Osoinach, Jr, The University of Dallas, Irving, TX.
Content
Group theory: Introduction
Binary operations
Groups
Subgroups and generating sets
Applications of subgroups
Types of groups: Quotient groups
Cyclic groups
Direct products
The isomorphism theorems
The symmetric groups
Alternating groups
Ring theory: Rings
Commutative rings
Fields
Quotient rings
Linear algebra: Vector spaces
Linear transformations
Field theory: Extension fields
Algebraic extensions
Intermediate group theory: Group actions
The Sylow theorems
Appendices: Relations and functions
Matrices
Complex numbers
Index
Binary operations
Groups
Subgroups and generating sets
Applications of subgroups
Types of groups: Quotient groups
Cyclic groups
Direct products
The isomorphism theorems
The symmetric groups
Alternating groups
Ring theory: Rings
Commutative rings
Fields
Quotient rings
Linear algebra: Vector spaces
Linear transformations
Field theory: Extension fields
Algebraic extensions
Intermediate group theory: Group actions
The Sylow theorems
Appendices: Relations and functions
Matrices
Complex numbers
Index