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

I. M. Glazman; Ju. I. Ljubic

ISBN 10: 0486453324 ISBN 13: 9780486453323
Published by Dover Publications, 2006
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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)

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Title: Finite-Dimensional Linear Analysis: A ...
Publisher: Dover Publications
Publication Date: 2006
Binding: Soft cover
Condition: Very Good

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Glazman, I. M. & Ljubic, Ju. I.
Published by Dover, Mineola NY, 2006
ISBN 10: 0486453324 ISBN 13: 9780486453323
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Paperback. Condition: As New. Reprint. 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

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Glazman, I.M.; Ljubic, Ju I.
Published by Dover Publications, Mineola, NY, 2006
ISBN 10: 0486453324 ISBN 13: 9780486453323
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I. M. Glazman; Ju. I. Ljubic
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