Abstract Algebra with Applications: Volume 1: Vector Spaces and Groups - Rilegato

Spindler, Karlheinz

Rilegato

ISBN 10: 0824791444 ISBN 13: 9780824791445

Casa editrice: CRC Press, 1993

Riassunto

A comprehensive presentation of abstract algebra and an in-depth treatment of the applications of algebraic techniques and the relationship of algebra to other disciplines, such as number theory, combinatorics, geometry, topology, differential equations, and Markov chains.

Su questo libro

Contenuti

Vector Spaces First Introduction: Affine Geometry Second Introduction: Linear Equations Vector Spaces Linear and Affine Mappings Abstract Affine Geometry Representations of Linear Mappings by Matrices Determinants Volume Functions Eigenvalues and Eigenvectors Classification of Endomorphisms Up to Similarity Tensor Products and Base-Field Extension Metric Geometry Euclidean Spaces Linear Mappings Between Euclidean Spaces Bilinear Forms Groups of Automorphisms Application: Markov Chains Application: Matrix Calculus and Differential Equations Groups Introduction: Symmetries of Geometric Figures Groups Subgroups and Cosets Symmetric and Alternating Groups Group Homomorphisms Normal Subgroups and Factor Groups Free Groups: Generators and Relations Group Actions Group-Theoretical Applications of Group Actions Nilpotent and Solvable Groups Topological Methods in Group Theory Analytical Methods in Group Theory Groups in Topology Appendix Bibliography

Product Description

Book by Spindler Karlheinz

Dettagli dell?edizione

• Editore: CRC Press
• Data di pubblicazione: 1993
• ISBN 10: 0824791444
• ISBN 13: 9780824791445
• Rilegatura: Copertina rigida
• Lingua: Inglese
• Numero edizione: 1
• Numero di pagine: 776