Finite-Dimensional Linear Analysis: A Systematic Presentation in Problem Form (Dover Books on Mathematics) - Softcover

I. M. Glazman; Ju. I. Ljubic

Softcover

ISBN 10: 0486453324 ISBN 13: 9780486453323

Publisher: Dover Publications, 2006

Synopsis

This remarkable book develops the subject of linear algebra in a novel fashion. A logically interconnected sequence of propositions and problems—some 2,400 in all—appears without proofs. Assisted only by hints and pointers, students must work out formal proofs systematically, proceeding from simple verifications to relatively advanced strategies and techniques of proof.
This volume also presents insights into functional analysis, which may be formulated as linear analysis without an infinite dimensional framework. As students allow their consideration of the propositions to move toward the limiting case of unrestricted dimensionality, they will find that their conceptual outlook approaches that which is suitable to functional analysis. In this regard, the book represents an introduction to the latter subject, free of the difficulties inherent in the explicit admission of infinities.
Based on the proposition that the best way to learn mathematics is to do mathematics, this approach will appeal to strongly motivated students. It can also be used as a resource for independent study and in cooperative seminars, as well as in conventional advanced undergraduate and graduate courses.

About this title

Language Notes

Text: English, Russian (translation)

Edition details

• Publisher: Dover Publications
• Publication date: 2006
• Language: English
• ISBN 10: 0486453324
• ISBN 13: 9780486453323
• Binding: Paperback
• Number of pages: 560
• Editor: G. Kuerti