**AMS/MAA Textbooks**

Volume: 66;
2021;
434 pp;
Softcover

MSC: Primary 15;

**Print ISBN: 978-1-4704-6295-6
Product Code: TEXT/66**

List Price: $89.00

AMS Member Price: $66.75

MAA Member Price: $66.75

**Electronic ISBN: 978-1-4704-6493-6
Product Code: TEXT/66.E**

List Price: $89.00

AMS Member Price: $66.75

MAA Member Price: $66.75

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# Linear Algebra: Gateway to Mathematics: Second Edition

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*Robert Messer*

MAA Press: An Imprint of the American Mathematical Society

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.

#### Readership

Undergraduate students interested in learning linear algebra.