Screen LibraryA physicist's introduction to algebraic structures : vector spaces, groups, topological spaces and more /
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| Main Authors: | |
|---|---|
| Published: |
Cambridge University Press,
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| Publisher Address: | Cambridge, United Kingdom : |
| Publication Dates: | 2019. |
| Literature type: | Book |
| Language: | English |
| Subjects: | |
| Carrier Form: | xxii, 693 pages : illustrations ; 25 cm |
| Bibliography: | Includes bibliographical references (pages 677-678) and index. |
| ISBN: |
9781108492201 1108492207 9781108729116 1108729118 |
| Index Number: | QA162 |
| CLC: |
O153.3 O153 |
| Call Number: | O153/P153 |
| Contents: | A. General introduction -- Rules of logic -- Sets and functions -- Algebraic structures -- B. Vector spaces -- Basics -- Operators on vector spaces -- Infinite dimensional vector spaces -- C. Group theory -- General properties of groups -- Finite groups -- Representations of finite groups -- Symmetries of regular geometrical objects -- Countably infinite groups -- General properties of Lie groups -- Rotations and translations -- Unitary groups and their representations -- Orthogonal groups and their representations -- Parameter space of Lie groups -- Representations of the Lorentz group -- Roots and weights -- Some other groups and algebras -- D. Topology -- Topological spaces -- Homotopy theory -- Homology. |