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Cover: 9789811661075 | Groups and Symmetry | Theory and Applications | Bijan Davvaz | Buch
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Groups and Symmetry
Theory and Applications
Buch von Bijan Davvaz
Sprache: Englisch

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Beschreibung
This textbook provides a readable account of the examples and fundamental results of groups from a theoretical and geometrical point of view. This is the second book of the set of two books on groups theory. Topics on linear transformation and linear groups, group actions on sets, Sylow¿s theorem, simple groups, products of groups, normal series, free groups, platonic solids, Frieze and wallpaper symmetry groups and characters of groups have been discussed in depth. Covering all major topics, this book is targeted to advanced undergraduate students of mathematics with no prerequisite knowledge of the discussed topics. Each section ends with a set of worked-out problems and supplementary exercises to challenge the knowledge and ability of the reader.
This textbook provides a readable account of the examples and fundamental results of groups from a theoretical and geometrical point of view. This is the second book of the set of two books on groups theory. Topics on linear transformation and linear groups, group actions on sets, Sylow¿s theorem, simple groups, products of groups, normal series, free groups, platonic solids, Frieze and wallpaper symmetry groups and characters of groups have been discussed in depth. Covering all major topics, this book is targeted to advanced undergraduate students of mathematics with no prerequisite knowledge of the discussed topics. Each section ends with a set of worked-out problems and supplementary exercises to challenge the knowledge and ability of the reader.
Über den Autor

BIJAN DAVVAZ is Professor at the Department of Mathematics, Yazd University, Iran. He earned his Ph.D. in Mathematics with a thesis on "Topics in Algebraic Hyperstructures" from Tarbiat Modarres University, Iran, and completed his [...]. in Mathematics from the University of Tehran, Iran. He also has served as Head of the Department of Mathematics (1998-2002), Chairman of the Faculty of Science (2004-2006), and Vice-President for Research (2006-2008) at Yazd University, Iran. His areas of interest include algebra, algebraic hyperstructures, rough sets and fuzzy logic. On the editorial boards for 25 mathematical journals, Prof. Davvaz has authored 6 books and over 600 research papers, especially on algebra, fuzzy logic, algebraic hyperstructures and their applications.

Zusammenfassung

Discusses group theory from theoretical as well as geometrical point of view

Contains colored images for better explanation

Includes solved examples and exercises at the end of each chapter

Inhaltsverzeichnis
1 Linear Transformations and Linear Groups.- 2 Group Actions on Sets.- 3 Sylow's Theorems and Applications.- 4 Simple Groups.- 5 Product of Groups.- 6 Normal Series.- 7 Free Groups and Presentations.- 8 Symmetry Groups of Geometric Objects.- 9 Platonic Solids.- 10 Frieze and Wallpaper Symmetry Groups.- 11 Representations and Characters of Groups.
Details
Erscheinungsjahr: 2021
Fachbereich: Arithmetik & Algebra
Genre: Importe, Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Inhalt: xv
279 S.
6 s/w Illustr.
102 farbige Illustr.
279 p. 108 illus.
102 illus. in color.
ISBN-13: 9789811661075
ISBN-10: 9811661073
Sprache: Englisch
Einband: Gebunden
Autor: Davvaz, Bijan
Auflage: 1st edition 2021
Hersteller: Springer Singapore
Springer Nature Singapore
Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße: 241 x 160 x 22 mm
Von/Mit: Bijan Davvaz
Erscheinungsdatum: 18.11.2021
Gewicht: 0,612 kg
Artikel-ID: 120448258
Über den Autor

BIJAN DAVVAZ is Professor at the Department of Mathematics, Yazd University, Iran. He earned his Ph.D. in Mathematics with a thesis on "Topics in Algebraic Hyperstructures" from Tarbiat Modarres University, Iran, and completed his [...]. in Mathematics from the University of Tehran, Iran. He also has served as Head of the Department of Mathematics (1998-2002), Chairman of the Faculty of Science (2004-2006), and Vice-President for Research (2006-2008) at Yazd University, Iran. His areas of interest include algebra, algebraic hyperstructures, rough sets and fuzzy logic. On the editorial boards for 25 mathematical journals, Prof. Davvaz has authored 6 books and over 600 research papers, especially on algebra, fuzzy logic, algebraic hyperstructures and their applications.

Zusammenfassung

Discusses group theory from theoretical as well as geometrical point of view

Contains colored images for better explanation

Includes solved examples and exercises at the end of each chapter

Inhaltsverzeichnis
1 Linear Transformations and Linear Groups.- 2 Group Actions on Sets.- 3 Sylow's Theorems and Applications.- 4 Simple Groups.- 5 Product of Groups.- 6 Normal Series.- 7 Free Groups and Presentations.- 8 Symmetry Groups of Geometric Objects.- 9 Platonic Solids.- 10 Frieze and Wallpaper Symmetry Groups.- 11 Representations and Characters of Groups.
Details
Erscheinungsjahr: 2021
Fachbereich: Arithmetik & Algebra
Genre: Importe, Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Inhalt: xv
279 S.
6 s/w Illustr.
102 farbige Illustr.
279 p. 108 illus.
102 illus. in color.
ISBN-13: 9789811661075
ISBN-10: 9811661073
Sprache: Englisch
Einband: Gebunden
Autor: Davvaz, Bijan
Auflage: 1st edition 2021
Hersteller: Springer Singapore
Springer Nature Singapore
Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße: 241 x 160 x 22 mm
Von/Mit: Bijan Davvaz
Erscheinungsdatum: 18.11.2021
Gewicht: 0,612 kg
Artikel-ID: 120448258
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