Finite-Dimensional Linear Analysis a Systematic Presentation in Problem Form

Glazman, I. M. & Ljubic, Ju. I.

ISBN 10: 0486453324 / ISBN 13: 9780486453323

Published by Dover, Mineola NY, 2006

About this Item

unabridged republication of the MIT Press 1974 edition. 544 pages. "A logically interconnected sequence of propositons and problems--some 2400 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." ; 5 3/8 x 8 1/2 ". Seller Inventory # 51996

Bibliographic Details

Title: Finite-Dimensional Linear Analysis a ...

Publisher: Dover, Mineola NY

Publication Date: 2006

Binding: Paperback

Condition: As New

Edition: Reprint.

About this title

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.

Language Notes:

Text: English, Russian (translation)