Screen LibraryFrom groups to geometry and back /
Groups arise naturally as symmetries of geometric objects, and so groups can be used to understand geometry and topology. Conversely, one can study abstract groups by using geometric techniques and ultimately by treating groups themselves as geometric objects. This book explores these connections be...
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| Main Authors: | |
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| Group Author: | |
| Published: |
American Mathematical Society,
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| Publisher Address: | Providence, R.I. : |
| Publication Dates: | [2017] |
| Literature type: | Book |
| Language: | English |
| Series: |
Student mathematical library ;
volume 81 |
| Subjects: | |
| Summary: |
Groups arise naturally as symmetries of geometric objects, and so groups can be used to understand geometry and topology. Conversely, one can study abstract groups by using geometric techniques and ultimately by treating groups themselves as geometric objects. This book explores these connections between group theory and geometry -- Provided by publisher. |
| Item Description: | "Mathematics Advanced Study Semesters"--Title page. |
| Carrier Form: | xix, 420 pages : illustrations ; 22 cm. |
| Bibliography: | Includes bibliographical references (pages 409-412) and index. |
| ISBN: |
9781470434793 (paperback : alkaline paper) : 1470434792 (paperback : alkaline paper) |
| Index Number: | QA174 |
| CLC: |
O18 O152 |
| Call Number: | O152/C639 |
| Contents: | Elements of group theory -- Symmetry in the Euclidean world: Groups of isometries of planar and spatial objects -- Groups of matrices: Linear algebra and symmetry in various geometries -- Fundamental group: A different kind of group associated to geometric objects -- From groups to geometric objects and back -- Groups at large scale -- Hints to selected exercises -- Suggestions for projects and further reading -- Bibliography -- Index |