Linear Algebra: Gateway to Mathematics (AMS/MAA Textbooks, 66) - Softcover

Messer, Robert

Softcover

ISBN 10: 1470462958 ISBN 13: 9781470462956

Verlag: American Mathematical Society, 2021

Inhaltsangabe

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.

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Über die Autorin bzw. den Autor

Robert Messer, Albion College, MI.

Details zur Ausgabe

• Verlag: American Mathematical Society
• Erscheinungsdatum: 2021
• Sprache: Englisch
• ISBN 10: 1470462958
• ISBN 13: 9781470462956
• Einband: Taschenbuch
• Auflage: 2
• Anzahl der Seiten: 420
• Kontakt zum Hersteller: Nicht verfügbar
• Verantwortliche Person: Nicht verfügbar