Linear Algebra: An Introduction to Abstract Mathematics (Undergraduate Texts in Mathematics) - Hardcover

Valenza, Robert J.

Hardcover

ISBN 10: 3540940995 ISBN 13: 9783540940999

Verlag: Springer Berlin, 1993

Inhaltsangabe

Based on lectures given at Claremont McKenna College, this text constitutes a substantial, abstract introduction to linear algebra. The presentation emphasizes the structural elements over the computational - for example by connecting matrices to linear transformations from the outset - and prepares the student for further study of abstract mathematics. Uniquely among algebra texts at this level, it introduces group theory early in the discussion, as an example of the rigorous development of informal axiomatic systems. TOC: Topics covered include: Sets and functions.- Groups and group homomorphisms.- Vector spaces and linear transformations.Dimension.- Matrices.- Representations of linear transformations.- Inner product spaces.- Determinants.- Eigenvalues and eigenvectors.- Triangulation and decompsition of endomorphisms. Supplementary chapters discuss the connection between linear algebra and multivariate calculus and introduce categories and functors.

Details zur Ausgabe

• Verlag: Springer Berlin
• Erscheinungsdatum: 1993
• Sprache: Englisch
• ISBN 10: 3540940995
• ISBN 13: 9783540940999
• Einband: Gebundene Ausgabe
• Anzahl der Seiten: 255
• Kontakt zum Hersteller: Springer-Verlag GmbH; customerservice@springernature.com; ; Tiergartenstraße 17; Heidelberg; Baden-Württemberg; 69121; Deutschland