This text provides an introduction to group theory with an emphasis on clear examples. The authors present groups as naturally occurring structures arising from symmetry in geometrical figures and other mathematical objects. Written in a 'user-friendly' style, where new ideas are always motivated before being fully introduced, the text will help readers to gain confidence and skill in handling group theory notation before progressing on to applying it in complex situations. An ideal companion to any first or second year course on the topic.
Reihe
Sprache
Verlagsort
Verlagsgruppe
Elsevier Science & Technology
Zielgruppe
Für Beruf und Forschung
First and second year mathematics undergraduates. Also invaluable to undergraduate physicists and engineers.
Maße
Höhe: 244 mm
Breite: 171 mm
Gewicht
ISBN-13
978-0-340-61045-9 (9780340610459)
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Schweitzer Klassifikation
1.Squares and circles * 2.Functions and permutations * 3.Linear transformations and matrices * 4.The group axiom * 5.Subgroups 1 * 6.Group actions * 7.Relations and modular arithmetic * 8.Homomorphisms and isomorphisms * 9.Subgroups 2 * 10.Co-sets and Lagrange's theorem * 11.Orbit-stabilizer theorem and applications * 12.Finding subgroups * 13.Groups of small order * 14.Conjugacy * 15.Faithful actions * 16.Factor groups * 17.Conclusions * Suggestions for further projects * Further reading.