William J Gilbert, W Keith Nicholson

Modern Algebra with Applications

• Gebundenes Buch

Produktbeschreibung

Blending the theoretical with the practical in the instruction of modern algebra, "Modern Algebra with Applications, Second Edition provides interesting and important applications of this subjecteffectively holding your interest and creating a more seamless method of instruction. Filled with in-depth insights and over six hundred exercises of varying difficulty, this invaluable text can help anyone appreciate and understand this subject.

Produktdetails

• Verlag: Wiley
• 2nd REV. Auflage Enlarged edition
• Seitenzahl: 352
• Erscheinungstermin: 5. November 2003
• Englisch
• Abmessung: 240mm x 161mm x 23mm
• Gewicht: 695g
• ISBN-13: 9780471414513
• ISBN-10: 0471414514
• Artikelnr.: 12347650

Autorenporträt

WILLIAM J. GILBERT, DPHil, is a professor in the Department of Pure Mathematics at the University of Waterloo, Ontario, Canada. He received his DPhil in mathematics from Oxford University in 1968. W. KEITH NICHOLSON, PHD, is a professor in the Department of Mathematics and Statistics at the University of Calgary, Alberta, Canada. He received his PhD in pure mathematics from the University of California at Santa Barbara in 1970.

Inhaltsangabe

Preface to the First Edition.

Preface to the Second Edition.

List of Symbols.

1. Introduction.

2. Boolean Algebras.

3. Groups.

4. Quotient Groups.

5. Symmetry Groups in Three Dimensions.

6. Pólya-Burnside Method of Enumeration.

7. Monoids and Machines.

8. Rings and Fields.

9. Polynomial and Euclidean Rings.

10.Quotient Rings.

11. Field Extensions.

12. Latin Squares.

13. Geometrical Constructions.

14. Error-Correcting Codes.

Appendix 1: Proofs.

Appendix 2: Integers.

Bibliography and References.

Answers to the Odd-Numbered Exercises.

Index.

Rezensionen

"...an ideal starter into algebra for all kinds of students, and a very useful addition to existing textbooks..." (Zentralblatt Math, Vol.1050, 2005)