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Abstract Algebra

Autor William Paulsen
en Limba Engleză Hardback – 20 mai 2025
“Abstract Algebra: An Interactive Approach” is a new concept in learning modern algebra. Each chapter in the textbook has a corresponding interactive Mathematica notebook and an interactive SageMath workbook which can be used either in the classroom, or outsideof the classroom.
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Specificații

ISBN-13: 9781032985404
ISBN-10: 1032985402
Pagini: 556
Dimensiuni: 156 x 234 mm
Ediția:3. Auflage
Editura: Taylor & Francis Ltd.

Cuprins

Preliminaries. Understanding the Group Concept. The Structure within a Group. Patterns within the Cosets of Groups. Mappings between Groups. Permutation Groups. Building Larger Groups from Smaller Groups. The Search for Normal Subgroups. Solvable and Insoluble Groups. Introduction to Rings. The Structure within Rings. Integral Domains and Fields. Unique Factorization. Finite Division Rings. The Theory of Fields. Galois Theory. Appendix: Sage vs. Mathematica®. Answers to Odd-Numbered Problems. Bibliography.

Notă biografică

William Paulsen, PhD, professor of mathematics, Arkansas State University, USA

Recenzii

Praise for previous editions:
"The textbook gives an introduction to algebra. The course includes the explanation on how to use the computer algebra systems GAP and Mathematica …The book can be used for an undergraduate-level course (chapter 1-4 and 9-12) or a second semester graduate-level course."
—Gerhard Pfister, Zentralblatt MATH