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Titlebook: Visual Group Theory; A Computer-Oriented Stephan Rosebrock Textbook 20241st edition The Editor(s) (if applicable) and The Author(s), under

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書目名稱Visual Group Theory
副標題A Computer-Oriented
編輯Stephan Rosebrock
視頻videohttp://file.papertrans.cn/984/983728/983728.mp4
概述Combines geometric intuition with algebra.Uses computers as a learning aid, via the open source GAP software.Contains a numerous illustrative examples and practice exercises
叢書名稱Springer Undergraduate Mathematics Series
圖書封面Titlebook: Visual Group Theory; A Computer-Oriented  Stephan Rosebrock Textbook 20241st edition The Editor(s) (if applicable) and The Author(s), under
描述.This textbook provides an introduction to group theory starting from the basics, relying on geometry to elucidate its various aspects...Groups naturally manifest as symmetries of geometric shapes, such as reflections and rotations. The book adopts this perspective to provide a straightforward, descriptive explanation, supported by examples and exercises in GAP, an open-source computer algebra system. It covers all of the key concepts of group theory, including homomorphisms, group operations, presentations, products of groups, and finite, abelian, and solvable groups. The topics include cyclic and symmetric groups, dihedral, orthogonal, and hyperbolic groups, as well as the significant notion of Cayley graphs...Self-contained and requiring little beyond high school mathematics, this book is aimed at undergraduate courses and features numerous exercises. It will also appeal to anyone interested in the geometric approach to group theory..
出版日期Textbook 20241st edition
關(guān)鍵詞Algebra; Euclidean geometry; Hyperbolic Geometry; textbook on group theory; Homomorphism; Quotient group;
版次1
doihttps://doi.org/10.1007/978-3-662-69365-0
isbn_softcover978-3-662-69364-3
isbn_ebook978-3-662-69365-0Series ISSN 1615-2085 Series E-ISSN 2197-4144
issn_series 1615-2085
copyrightThe Editor(s) (if applicable) and The Author(s), under exclusive license to Springer-Verlag GmbH, DE
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Stephan Rosebrockssner effect. As will be mentioned later, the perfect diamagnetism is broken at suffi- ciently high magnetic fields. There are two alternative ways in which this break down can take place depending on whether the superconductor is “type-1” or “type-2.” In type-2 materials the superconductivity can b
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Introduction to Euclidean Geometry,dition, such maps are composed so that we can calculate with them. Additionally, we prove a few theorems of Euclidean geometry that clarify the structure of the Euclidean plane and higher-dimensional spaces. We want to understand geometry here in a way that allows us to grasp it algebraically.
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Introduction to Groups,learn the first important properties of groups and how we can “generate” a group by using only a few elements. We thus answer questions like: . Then we study the groups generated by one element. We look a little more closely at all the symmetries of the tetrahedron towards the end of this chapter.
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