Abstract Algebra: An Integrated Approach

$9.99

Abstract Algebra: An Integrated Approach
Authors: Joseph H. Silverman
Year: 2022
Publisher: American Mathematical Society
Language: english
ISBN 13: 9781470469023
ISBN 10: 1470469022
Categorie: Mathematics, Algebra
Pages: 567 / 589
Edition: 1

Availability: 5000 in stock

SKU: 9781470469023 Categories: ,

Abstract Algebra: An Integrated Approach Joseph H. Silverman

This abstract algebra textbook takes an integrated approach that highlights the similarities of fundamental algebraic structures among a number of topics. The book begins by introducing groups, rings, vector spaces, and fields, emphasizing examples, definitions, homomorphisms, and proofs. The goal is to explain how all of the constructions fit into an axiomatic framework and to emphasize the importance of studying those maps that preserve the underlying algebraic structure. This fast-paced introduction is followed by chapters in which each of the four main topics is revisited and deeper results are proven. The second half of the book contains material of a more advanced nature. It includes a thorough development of Galois theory, a chapter on modules, and short surveys of additional algebraic topics designed to whet the reader’s appetite for further study. This book is intended for a first introduction to abstract algebra and requires only a course in linear algebra as a prerequisite. The more advanced material could be used in an introductory graduate-level course.
Categories:
Mathematics – Algebra
Volume:
55
Year:
2022
Edition:
1
Publisher:
American Mathematical Society
Language:
english
Pages:
567 / 589
ISBN 10:
1470469022
ISBN 13:
9781470469023
Series:
Pure and Applied Undergraduate Texts
File:
98 MB

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Abstract Algebra: An Integrated Approach
$9.99

Availability: 5000 in stock