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Cover: 9781441930859 | Groups and Symmetry | Mark A. Armstrong | Taschenbuch | xi | Englisch
Rückseite: 9781441930859 | Groups and Symmetry | Mark A. Armstrong | Taschenbuch | xi | Englisch
Cover: 9781441930859 | Groups and Symmetry | Mark A. Armstrong | Taschenbuch | xi | Englisch
Rückseite: 9781441930859 | Groups and Symmetry | Mark A. Armstrong | Taschenbuch | xi | Englisch
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Groups and Symmetry
Taschenbuch von Mark A. Armstrong
Sprache: Englisch

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Beschreibung
This text, designed for undergraduate mathematics students, provides a gentle introduction to the vocabulary and many of 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. There are more than 300 exercises and approximately 60 illustrations to help develop the student's intuition.
This text, designed for undergraduate mathematics students, provides a gentle introduction to the vocabulary and many of 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. There are more than 300 exercises and approximately 60 illustrations to help develop the student's intuition.
Zusammenfassung
This text, designed for undergraduate mathematics students, provides a gentle introduction to the vocabulary and many of 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. There are more than 300 exercises and approximately 60 illustrations to help develop the student's intuition.
Inhaltsverzeichnis
Preface. 1: Symmetries of the Tetrahedron. 2: Axioms. 3: Numbers. 4: Dihedral Groups. 5: Subgroups and Generators. 6: Permutations. 7: Isomorphisms. 8: Plato's Solids and Cayley's Theorem. 9: Matrix Groups. 10: Products. 11: Lagrange's Theorem. 12: Partitions. 13: Cauchy's Theorem. 14: Conjugacy. 15: Quotient Groups. 16: Homomorphisms. 17: Actions, Orbits, and Stabalizers. 18: Counting Orbits. 19: Finite Rotation Groups. 20: The Sylow Theorems. 21: Finitely Generated Abelian Groups. 22: Row and Column Operations. 23: Automorphisms. 24: The Euclidean Group. 25: Lattices and Point Groups. 26: Wallpaper Patterns. 27: Free Groups and Presentations. 28: Trees and the Nielsen-Schreier Theorem. Bibliography. Index.
Details
Erscheinungsjahr: 2010
Fachbereich: Arithmetik & Algebra
Genre: Importe, Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Inhalt: xi
187 S.
ISBN-13: 9781441930859
ISBN-10: 144193085X
Sprache: Englisch
Einband: Kartoniert / Broschiert
Autor: Armstrong, Mark A.
Hersteller: Springer
Springer US, New York, N.Y.
Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße: 234 x 156 x 12 mm
Von/Mit: Mark A. Armstrong
Erscheinungsdatum: 01.12.2010
Gewicht: 0,319 kg
Artikel-ID: 107168339
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