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 ex= position is intertwined with matrices either as the main subject or as tool=
s 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 out= lined throughout in "How to..." text boxes. Common mistakes and pitfalls ar=
e also pointed out as one goes along.

"Linear Algebra" is written to be self-contained and ideal as a primary tex= tbook for an undergraduate course in linear algebra. Applications of the ge= neral theory which are of interest to disciplines outside of mathematics, s= uch as engineering, are also a part of "Linear Algebra".

Critique: "Linear Algebra" by mathematician Lina Oliveira is intended prima= rily 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 i=
n organization and presentation, "Linear Algebra" is unreservedly recommend=
ed for personal, community, and academic library Applied Mathematics, Albeg=
ra and Trigonometry collections and curriculums. It should be noted for stu= dents, academia, and non- specialist general readers with an interest in th=
e subject that "Linear Algebra" is also available in a paperback edition (9= 780815373315, $64.95) and in a digital book format (Kindle, $64.95).

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

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