Groups and Symmetry: Undergraduate Texts in Mathematics
Autor Mark A. Armstrongen Limba Engleză Hardback – 25 oct 1988
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Springer – 25 oct 1988 | 359.48 lei 3-5 săpt. | +25.19 lei 7-11 zile |
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Specificații
ISBN-13: 9780387966755
ISBN-10: 0387966757
Pagini: 187
Ilustrații: XI, 187 p.
Dimensiuni: 155 x 235 x 18 mm
Greutate: 0.45 kg
Ediția:1988
Editura: Springer
Colecția Springer
Seria Undergraduate Texts in Mathematics
Locul publicării:New York, NY, United States
ISBN-10: 0387966757
Pagini: 187
Ilustrații: XI, 187 p.
Dimensiuni: 155 x 235 x 18 mm
Greutate: 0.45 kg
Ediția:1988
Editura: Springer
Colecția Springer
Seria Undergraduate Texts in Mathematics
Locul publicării:New York, NY, United States
Public țintă
Lower undergraduateCuprins
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.- 10 Products.- 11 Lagrange’s Theorem.- 12 Partitions.- 13 Cauchy’s Theorem.- 14 Conjugacy.- 15 Quotient Groups.- 16 Homomorphisms.- 17 Actions, Orbits, and Stabilizers.- 18 Counting Orbits.- 19 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.
Recenzii
M.A. Armstrong
Groups and Symmetry
"This book is a gentle introductory text on group theory and its application to the measurement of symmetry. It covers most of the material that one might expect to see in an undergraduate course . . . The theory is amplified, exemplified and properly related to what this part of algebra is really for by discussion of a wide variety of geometrical phenomena in which groups measure symmetry. Overall, the author’s plan, to base his treatment on the premise that groups and symmetry go together, is a very good one, and the book deserves to succeed."—MATHEMATICAL REVIEWS
Groups and Symmetry
"This book is a gentle introductory text on group theory and its application to the measurement of symmetry. It covers most of the material that one might expect to see in an undergraduate course . . . The theory is amplified, exemplified and properly related to what this part of algebra is really for by discussion of a wide variety of geometrical phenomena in which groups measure symmetry. Overall, the author’s plan, to base his treatment on the premise that groups and symmetry go together, is a very good one, and the book deserves to succeed."—MATHEMATICAL REVIEWS