Exploring Abstract Algebra With Mathematica®
Autor Allen C. Hibbard, Kenneth M. Levasseuren Limba Engleză Paperback – 19 feb 1999
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Specificații
ISBN-13: 9780387986197
ISBN-10: 0387986197
Pagini: 467
Ilustrații: XIII, 467 p. 294 illus. With online files/update.
Dimensiuni: 170 x 244 x 25 mm
Greutate: 0.79 kg
Ediția:Softcover reprint of the original 1st ed. 1999
Editura: Springer
Colecția Springer
Locul publicării:New York, NY, United States
ISBN-10: 0387986197
Pagini: 467
Ilustrații: XIII, 467 p. 294 illus. With online files/update.
Dimensiuni: 170 x 244 x 25 mm
Greutate: 0.79 kg
Ediția:Softcover reprint of the original 1st ed. 1999
Editura: Springer
Colecția Springer
Locul publicării:New York, NY, United States
Public țintă
Lower undergraduateCuprins
I Group Labs.- 1 Using Symmetry to Uncover a Group.- 2 Determining the Symmetry Group of a Given Figure.- 3 Is This a Group?.- 4 Let’s Get These Orders Straight.- 5 Subversively Grouping Our Elements.- 6 Cycling Through the Groups.- 7 Permutations.- 8 Isomorphisms.- 9 Automorphisms.- 10 Direct Products.- 11 Cosets.- 12 Normality and Factor Groups.- 13 Group Homomorphisms.- 14 Rotational Groups of Regular Polyhedra.- II Ring Labs.- 1 Introduction to Rings and Ringoids.- 2 Introduction to Rings, Part 2.- 3 An Ideal Part of Rings.- 4 What Does ?[i](a + b i) Look Like?.- 5 Ring Homomorphisms.- 6 Polynomial Rings.- 7 Factoring and Irreducibility.- 8 Roots of Unity.- 9 Cyclotomic Polynomials.- 10 Quotient Rings of Polynomials.- 11 Quadratic Field Extensions.- 12 Factoring in ?[?d].- 13 Finite Fields.- III User’s Guide.- 1 Introduction to Abstract Algebra.- 2 Groupolds.- 3 Ringoids.- 4 Morphoids.- 5 Additional Functionality.
Caracteristici
Presentation is highly visual, and includes a full-color insert of significant algebraic concepts and images The multi-platform CD-ROM contains Mathematica version 2.2 and 3.0 notebooks and animations Includes MathReader, the public domain software enabling users to view the content without having access to the Mathematica software package itself Includes illuminating exercises The authors provide a "Users Guide" for the data structures and commands of this package Includes supplementary material: sn.pub/extras