William Paulsen

Abstract Algebra (eBook, PDF)

An Interactive Approach, Second Edition

• Format: PDF

Produktbeschreibung

This textbook is for a first undergraduate course in abstract algebra. It differs from the first edition in that it offers optional technology and less focus on interactivity. It has a more traditional approach where additional topics to the primary syllabus are placed after primary topics are covered, creating a more common table of contents. Where technology was the primary motivation of the first edition, this edition is transformed by historical notes and better explanations of why topics are covered.

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Produktdetails

• Verlag: Taylor & Francis
• Seitenzahl: 649
• Erscheinungstermin: 3. September 2018
• Englisch
• ISBN-13: 9781315362410
• Artikelnr.: 54536279

Autorenporträt

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

Inhaltsangabe

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.