Undergraduate Algebra : A Unified Approach Matej Brešar

By:

Brešar Matej

Material type: Text

TextLanguage: English Publication details: Swizerland : Springer International Publishing / 2019.Description: 316p. : ill, ; 6.1 x 0.77 x 9.25 inchesISBN:

9783030140526

Subject(s):

DDC classification:

First 512 MAT

Contents:

Glossary of Basic Algebraic Structures Examples of Groups and Rings Homomorphisms Quotient Structures Commutative Rings Finite Groups Field Extensions Frequently Used Symbols

Summary: Undergraduate Algebra: A Unified Approach presents abstract algebra through a novel lens by treating analogous concepts across various algebraic structures simultaneously. This method enhances clarity and reduces redundancy, making the material more accessible. The book is divided into two main sections: The Language of Algebra: Introduces foundational algebraic structures—such as groups, rings, and fields—by exploring their commonalities and differences. Algebra in Action: Delves into more advanced topics, including the Sylow theorems, modules over principal ideal domains, and Galois theory.

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Holdings
Item type	Current library	Collection	Call number	Status	Barcode
General Books	CUTN Central Library Sciences	Non-fiction	512 MAT (Browse shelf(Opens below))	Available	51512

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Previous	512 BOY A first book in algebra,	512 ERD Introduction to lie algebras /	512 FAR A graduate course in algebra : Vol. 1	512 MAT Undergraduate Algebra : A Unified Approach	512 MOR Field and Galois Theory	512 SLI Algebra for applications :	512.02 BAX Abstract Algebra / A Concrete Introduction :	Next

Glossary of Basic Algebraic Structures
Examples of Groups and Rings
Homomorphisms
Quotient Structures

Commutative Rings
Finite Groups
Field Extensions
Frequently Used Symbols

Undergraduate Algebra: A Unified Approach presents abstract algebra through a novel lens by treating analogous concepts across various algebraic structures simultaneously. This method enhances clarity and reduces redundancy, making the material more accessible.
The book is divided into two main sections:
The Language of Algebra: Introduces foundational algebraic structures—such as groups, rings, and fields—by exploring their commonalities and differences.
Algebra in Action: Delves into more advanced topics, including the Sylow theorems, modules over principal ideal domains, and Galois theory.

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