Karlheinz Spindler

Abstract Algebra with Applications

Volume 1: Vector Spaces and Groups

• Gebundenes Buch

Produktbeschreibung

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.

Produktdetails

• Chapman & Hall/CRC Pure and Applied Mathematics
• Verlag: Taylor & Francis; Crc Press
• 1993.
• Seitenzahl: 780
• Erscheinungstermin: 18. Oktober 1993
• Englisch
• Abmessung: 260mm x 183mm x 46mm
• Gewicht: 1600g
• ISBN-13: 9780824791445
• ISBN-10: 0824791444
• Artikelnr.: 21101148

Autorenporträt

Karlheinz Spindler

Inhaltsangabe

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

Rezensionen

". . .these two volumes constitute an outstanding and unique text on algebra and its various applications, which is matchlessly rich in content, comprehensive and well-arranged. . .[a] masterpiece. . . .the mathematical community should have good reason to be grateful to the author for having added a new standard text to the existing literature. . .with many distinctive and unique features, and. . .comparable to the celebrated standard texts. . ..Due to its peerless width of the material. . .this textbook. . .is certainly predestined to become an indispensable tool kit for everyone needing and using algebraic methods. "
---Zentralblatt fur Mathematik