Finite-Dimensional Vector Spaces: Second Edition 9780486814865

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Автор: Halmos Paul R.
Название: Finite-Dimensional Vector Spaces: Second Edition
Перевод названия: Пауль Халмос: Векторные пространства конечной размерности
ISBN: 9780486814865
Издательство: Dover
Классификация:

Алгебра

ISBN-10: 0486814866
Обложка/Формат: Paperback
Страницы: 208
Вес: 0.30 кг.
Дата издания: 15.08.2017
Язык: English
Размер: 153 x 227 x 14
Подзаголовок: Second edition
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Поставляется из: США
Описание: A fine example of a great mathematicians intellect and mathematical style, this classic on linear algebra is widely cited in the literature. The treatment is an ideal supplement to many traditional linear algebra texts and is accessible to undergraduates with some background in algebra.
This is a classic but still useful introduction to modern linear algebra. It is primarily about linear transformations ... Its also extremely well-written and logical, with short and elegant proofs. ... The exercises are very good, and are a mixture of proof questions and concrete examples. The book ends with a few applications to analysis ... and a brief summary of what is needed to extend this theory to Hilbert spaces. -- Allen Stenger, MAA Reviews, maa.org, May, 2016.
The theory is systematically developed by the axiomatic method that has, since von Neumann, dominated the general approach to linear functional analysis and that achieves here a high degree of lucidity and clarity. The presentation is never awkward or dry, as it sometimes is in other modern textbooks; it is as unconventional as one has come to expect from the author. The book contains about 350 well-placed and instructive problems, which cover a considerable part of the subject. All in all this is an excellent work, of equally high value for both student and teacher. -- Zentralblatt fur Mathematik.