A gentle introduction to abstract algebr
β Sethuraman B.A
π Library
π
2016
π English
β¦ LIBER β¦
π
A Gentle Introduction to Abstract Algebra
β Scribed by B. A. Sethuraman
- Publisher
- California State University
- Tongue
- English
- Leaves
- 369
- Category
- Library
β¬ Acquire This Volume
No coin nor oath required. For personal study only.
β¦ Table of Contents
To the Student: How to Read a Mathematics Book
To the Student: Proofs
Divisibility in the Integers
Further Exercises
Rings and Fields
Rings: Definition and Examples
Subrings
Integral Domains and Fields
Ideals
Quotient Rings
Ring Homomorphisms and Isomorphisms
Further Exercises
Vector Spaces
Vector Spaces: Definition and Examples
Linear Independence, Bases, Dimension
Subspaces and Quotient Spaces
Vector Space Homomorphisms: Linear Transformations
Further Exercises
Groups
Groups: Definition and Examples
Subgroups, Cosets, Lagrange's Theorem
Normal Subgroups, Quotient Groups
Group Homomorphisms and Isomorphisms
Further Exercises
Sets, Functions, and Relations
Partially Ordered Sets, Zorn's Lemma
GNU Free Documentation License
Index
π SIMILAR VOLUMES
Abstract Algebra: A Gentle Introduction
β Gary L. Mullen, James A. Sellers
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2016
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<i>Abstract Algebra: A Gentle Introduction</i> advantages a trend in mathematics textbook publishing towards smaller, less expensive and brief introductions to primary courses. The authors move away from the βeverything for everyoneβ approach so common in textbooks. Instead, they provide the reader
Abstract Algebra: A Gentle Introduction
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2016
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A Friendly Introduction to Abstract Algebra offers a new approach to laying a foundation for abstract mathematics. Prior experience with proofs is not assumed, and the book takes time to build proof-writing skills in ways that will serve students through a lifetime of learning and creating mathemati
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