Finite Dimensional Vector Spaces: University Series in Undergraduate Mathematics

Halmos, Paul R

ISBN 10: 125880932X / ISBN 13: 9781258809324

Edité par Literary Licensing, LLC, 2013

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N° de réf. du vendeur ABLING22Oct2517050367890

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Titre : Finite Dimensional Vector Spaces: University...

Éditeur : Literary Licensing, LLC

Date d'édition : 2013

Reliure : Couverture rigide

Etat : New

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Synopsis :

""Finite Dimensional Vector Spaces"" is a comprehensive and accessible textbook written by renowned mathematician Paul R. Halmos. The book is part of the ""University Series in Undergraduate Mathematics"" and is designed for undergraduate students who are studying linear algebra. The book covers the fundamental concepts of finite-dimensional vector spaces, including linear transformations, matrices, determinants, and eigenvalues. It also includes advanced topics such as inner product spaces, orthogonal projections, and the spectral theorem. The text is written in a clear and concise style, with numerous examples and exercises throughout to help students understand the material. Halmos also includes historical and philosophical remarks to provide context and motivation for the topics covered. Overall, ""Finite Dimensional Vector Spaces"" is an essential resource for any undergraduate student studying linear algebra or anyone interested in the mathematical foundations of vector spaces.This scarce antiquarian book is a facsimile reprint of the old original and may contain some imperfections such as library marks and notations. Because we believe this work is culturally important, we have made it available as part of our commitment for protecting, preserving, and promoting the world's literature in affordable, high quality, modern editions, that are true to their original work.

Présentation de l'éditeur:

Master expositor Paul Halmos presents Linear Algebra in the pure axiomatic spirit. He writes “My purpose in this book is to treat linear transformations on finite dimensional vector spaces by the methods of more general theories. The idea is to emphasize the simple geometric notions common to many parts of mathematics and its applications, and to do so in a language that gives away the trade secrets ...”. This text is an ideal supplement to modern treatments of Linear Algebra.
"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 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 für Mathematik.