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A Course on Abstract Algebra, Second Edition

821.000

14 in stock


AuthorMinking Eie and Shou-Te Chang
ISBN9780000988348
Published LanguageEnglish
Publication Year2020
PublisherWorld Scientific
BindingPaperback
Original Price$88
Pages432
EditionWorld Scientific Low Price Edition (WSLPE)

Description

This textbook provides an introduction to abstract algebra for advanced undergraduate students. Based on the authors’ notes at the Department of Mathematics, National Chung Cheng University, it contains material sufficient for three semesters of study. It begins with a description of the algebraic structures of the ring of integers and the field of rational numbers. Abstract groups are then introduced. Technical results such as Lagrange’s theorem and Sylow’s theorems follow as applications of group theory. The theory of rings and ideals forms the second part of this textbook, with the ring of integers, the polynomial rings and matrix rings as basic examples. Emphasis will be on factorization in a factorial domain. The final part of the book focuses on field extensions and Galois theory to illustrate the correspondence between Galois groups and splitting fields of separable polynomials. The textbook is more accessible and less ambitious than most existing books covering the same subject. Readers will also find the pedagogical material very useful in enhancing the teaching and learning of abstract algebra.

Additional information

Weight0.615 kg
Dimensions2.3 × 15.2 × 22.9 cm
Author

ISBN

Published Language

Publication Year

Publisher

Binding

Original Price

Pages

432

Edition

World Scientific Low Price Edition (WSLPE)