Linear Algebra: Gateway to Mathematics

Robert Messer

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Language: English

Published by American Mathematical Society, US, 2021

1470462958 / 9781470462956

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Linear Algebra: Gateway to Mathematics uses linear algebra as a vehicle to introduce students to the inner workings of mathematics. The structures and techniques of mathematics in turn provide an accessible framework to illustrate the powerful and beautiful results about vector spaces and linear transformations.The unifying concepts of linear algebra reveal the analogies among three primary examples: Euclidean spaces, function spaces, and collections of matrices. Students are gently introduced to abstractions of higher mathematics through discussions of the logical structure of proofs, the need to translate terminology into notation, and efficient ways to discover and present proofs. Application of linear algebra and concrete examples tie the abstract concepts to familiar objects from algebra, geometry, calculus, and everyday life.Students will finish a course using this text with an understanding of the basic results of linear algebra and an appreciation of the beauty and utility of mathematics. They will also be fortified with a degree of mathematical maturity required for subsequent courses in abstract algebra, real analysis, and elementary topology. Students who have prior background in dealing with the mechanical operations of vectors and matrices will benefit from seeing this material placed in a more general context.…

Seller Inventory # LU-9781470462956

Title
Linear Algebra: Gateway to Mathematics
Author
Robert Messer
Publisher
American Mathematical Society, US
Publication year
2021
Condition
New
Binding
Paperback
Language
English
ISBN 10
1470462958
ISBN 13
9781470462956
Edition
Second Edition.
Item weight
778 grams

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