An Introduction To The Theory Of Groups Rotman Solutions
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An Introduction to the Theory of Groups
Author: Joseph J. Rotman
language: en
Publisher: Springer Science & Business Media
Release Date: 2012-12-06
Anyone who has studied abstract algebra and linear algebra as an undergraduate can understand this book. The first six chapters provide material for a first course, while the rest of the book covers more advanced topics. This revised edition retains the clarity of presentation that was the hallmark of the previous editions. From the reviews: "Rotman has given us a very readable and valuable text, and has shown us many beautiful vistas along his chosen route." --MATHEMATICAL REVIEWS
Problems in Group Theory
265 challenging problems in all phases of group theory, gathered for the most part from papers published since 1950, although some classics are included.
Groups and Symmetry
Author: Mark A. Armstrong
language: en
Publisher: Springer Science & Business Media
Release Date: 2013-03-14
Groups are important because they measure symmetry. This text, designed for undergraduate mathematics students, provides a gentle introduction to the highlights of elementary group theory. Written in an informal style, the material is divided into short sections each of which deals with an important result or a new idea. Throughout the book, the emphasis is placed on concrete examples, many of them geometrical in nature, so that finite rotation groups and the seventeen wallpaper groups are treated in detail alongside theoretical results such as Lagrange's theorem, the Sylow theorems, and the classification theorem for finitely generated abelian groups. A novel feature at this level is a proof of the Nielsen-Schreier theorem, using group actions on trees. There are more than three hundred exercises and approximately sixty illustrations to help develop the student's intuition.