Advanced Linear Algebra - Brossura

Cooperstein, Bruce

Brossura

ISBN 10: 1032918187 ISBN 13: 9781032918181

Casa editrice: Chapman and Hall/CRC, 2024

Riassunto

Advanced Linear Algebra, Second Edition takes a gentle approach that starts with familiar concepts and then gradually builds to deeper results. Each section begins with an outline of previously introduced concepts and results necessary for mastering the new material. By reviewing what students need to know before moving forward, the text builds a solid foundation upon which to progress.

The new edition of this successful text focuses on vector spaces and the maps between them that preserve their structure (linear transformations). Designed for advanced undergraduate and beginning graduate students, the book discusses the structure theory of an operator, various topics on inner product spaces, and the trace and determinant functions of a linear operator. It addresses bilinear forms with a full treatment of symplectic spaces and orthogonal spaces, as well as explains the construction of tensor, symmetric, and exterior algebras.

Featuring updates and revisions throughout, Advanced Linear Algebra, Second Edition:

• Contains new chapters covering sesquilinear forms, linear groups and groups of isometries, matrices, and three important applications of linear algebra
• Adds sections on normed vector spaces, orthogonal spaces over perfect fields of characteristic two, and Clifford algebras
• Includes several new exercises and examples, with a solutions manual available upon qualifying course adoption

The book shows students the beauty of linear algebra while preparing them for further study in mathematics.

Su questo libro

Informazioni sull?autore

Bruce Cooperstein is a professor of mathematics at the University of California, Santa Cruz, USA. He was a visiting scholar at the Carnegie Foundation for the Advancement of Teaching (spring 2007) and a recipient of the Kellogg National Fellowship (1982–1985) and the Pew National Fellowship for Carnegie Scholars (1999–2000). Dr. Cooperstein has authored numerous papers in refereed mathematics journals.

Dettagli dell'edizione

• Editore: Chapman and Hall/CRC
• Data di pubblicazione: 2024
• Lingua: Inglese
• ISBN 10: 1032918187
• ISBN 13: 9781032918181
• Rilegatura: Copertina flessibile
• Numero edizione: 2
• Numero di pagine: 622
• Contatto del produttore: non disponibile
• Persona responsabile: non disponibile