December 2022 MBR The Mathematics Shelf

The Mathematics Shelf

Linear Algebra
Lina Oliveira
Chapman & Hall
c/o CRC Press
6000 NW Broken Sound Parkway NW, Suite 300, Boca Raton, FL 33487
www.crcpress.com
9781032287812, $160.00, HC, 328pp

https://www.amazon.com/Linear-Algebra-Lina-Oliveira/dp/1032287810

Synopsis: The narrative of "Linear Algebra" takes a matrix approach: the exposition is intertwined with matrices either as the main subject or as tools to explore the theory. Each chapter contains a description of its aims, a summary at the end of the chapter, exercises, and solutions. The reader is carefully guided through the theory and techniques presented which are outlined throughout in "How to..." text boxes. Common mistakes and pitfalls are also pointed out as one goes along.

"Linear Algebra" is written to be self-contained and ideal as a primary textbook for an undergraduate course in linear algebra. Applications of the general theory which are of interest to disciplines outside of mathematics, such as engineering, are also a part of "Linear Algebra".

Critique: "Linear Algebra" by mathematician Lina Oliveira is intended primarily as an undergraduate textbook but is written in such a way that it can also be a valuable resource for independent learning as well. Exceptional in organization and presentation, "Linear Algebra" is unreservedly recommended for personal, community, and academic library Applied Mathematics, Albegra and Trigonometry collections and curriculums. It should be noted for students, academia, and non- specialist general readers with an interest in the subject that "Linear Algebra" is also available in a paperback edition (9780815373315, $64.95) and in a digital book format (Kindle, $64.95).

Editorial Note: Lina Oliveira (https://www.math.tecnico.ulisboa.pt/~linaoliv) earned her DPhil in Mathematics from the University of Oxford, UK and is a faculty member of the Department of Mathematics of Instituto Superior Tecnico, University of Lisbon, Portugal. She has taught several graduate and undergraduate courses at Instituto Superior Tecnico where she regularly teaches Linear Algebra since 2001. Her research interests are in the areas of Functional Analysis, Operator Algebras and Operator Theory. She is currently the head of the Linear Algebra course at the Portuguese Air Force Academy.

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