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Linear Algebra and Its Applications, Third Updated Edition: United States Edition Hardcover – 1 September 2005

by David C. Lay (Author)

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Linear algebra is relatively easy for students during the early stages of the course, when the material is presented in a familiar, concrete setting. But when abstract concepts are introduced, students often hit a brick wall. Instructors seem to agree that certain concepts (such as linear independence, spanning, subspace, vector space, and linear transformations), are not easily understood, and require time to assimilate. Since they are fundamental to the study of linear algebra, students' understanding of these concepts is vital to their mastery of the subject. Lay introduces these concepts early in a familiar, concrete Rn setting, develops them gradually, and returns to them again and again throughout the text so that when discussed in the abstract, these concepts are more accessible.

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Print length

576 pages
Language

English
Publisher

Addison Wesley
Publication date

1 September 2005
Dimensions

20.96 x 2.41 x 23.8 cm
ISBN-10

0321287134
ISBN-13

978-0321287137
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About the Author

David C. Lay holds a B.A. from Aurora University (Illinois), and an M.A. and Ph.D. from the University of California at Los Angeles. Lay has been an educator and research mathematician since 1966, mostly at the University of Maryland, College Park. He has also served as a visiting professor at the University of Amsterdam, the Free University in Amsterdam, and the University of Kaiserslautern, Germany. He has over 30 research articles published in functional analysis and linear algebra.

As a founding member of the NSF-sponsored Linear Algebra Curriculum Study Group, Lay has been a leader in the current movement to modernize the linear algebra curriculum. Lay is also co-author of several mathematics texts, including Introduction to Functional Analysis, with Angus E. Taylor, Calculus and Its Applications, with L.J. Goldstein and D.I. Schneider, and Linear Algebra Gems-Assets for Undergraduate Mathematics, with D. Carlson, C.R. Johnson, and A.D. Porter.

A top-notch educator, Professor Lay has received four university awards for teaching excellence, including, in 1996, the title of Distinguished Scholar-Teacher of the University of Maryland. In 1994, he was given one of the Mathematical Association of America's Awards for Distinguished College or Unviersity Teaching of Mathematics. He has been elected by the university students to membership in Alpha Lambda Delta National Scholastic Honor Society and Golden Key National Honor Society. In 1989, Aurora University conferred on him the Outstanding Alumnus award. Lay is a member of the American Mathematical Society, the Canadian Mathematical Society, the International Linear Algebra Society, the Mathematical Association of America, Sigma Xi, and the Society for Industrial and Applied Mathematics. Since 1992, he has served several terms on the national board of the Association of Christians in the Mathematical Sciences.

Product details

Publisher ‏ : ‎ Addison Wesley; 3rd edition (1 September 2005)
Language ‏ : ‎ English
Hardcover ‏ : ‎ 576 pages
ISBN-10 ‏ : ‎ 0321287134
ISBN-13 ‏ : ‎ 978-0321287137
Dimensions ‏ : ‎ 20.96 x 2.41 x 23.8 cm

Best Sellers Rank: 834,169 in Books (See Top 100 in Books)
- 188 in Linear Algebra (Books)
- 742,710 in Textbooks & Study Guides

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Bob

Clearest exposition of linear Algebra I've read

Reviewed in the United States on 6 November 2023

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Clearest exposition of linear Algebra I've read. Strang is good too (his Youtube lectures are classic), but Lay's clarity on basic linear algebra is unbeatable.

Exiled-Edik

A very clear introduction to Linear Algebra.

Reviewed in the United Kingdom on 19 February 2020

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Introductory perhaps, but not trivial. What I do like about this text is the clarity, it would be well suited to home study without a tutor using the internet as a supplement (resources such as YouTube).

As a single textbook I would definitely choose this - as it is pretty self-contained and if pushed without any other resources this book would serve its purpose admirably.

Not much Mathematics background but some elementary Trigonometry and Algebra, and this was enough to start without problems. Those without this background may well use this book supplemented by other texts although I'd strongly recommend some basic algebra (simultaneous equations/polynomials) to start!

Christina Bussiere

Prompt arrival, good condition

Reviewed in Canada on 23 October 2013

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The book arrived incredibly fast. The description of it's quality was accurate. Slightly used, but like new, as suggested. CD does not appear to be damaged, everything was in tact and as it was supposed to be. No highlights or marks that I've come across. But really, I was especially impressed with the speedy delivery. That sold me. It was a couple weeks into the semester already when I ordered it, too.

N.S. Palmer

The clearest of the bunch

Reviewed in the United States on 5 May 2009

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I'm familiar with three linear algebra textbooks: Gilbert Strang's Linear Algebra and Its Applications , Georgi E. Shilov's Linear Algebra , and now this one. It was recommended to me by one of my brothers, who had the author as a professor at the University of Maryland - College Park.

Gil Strang's book is very well regarded, and I like it, too. However, as a writer, Strang tries a little too hard to be friendly and colloquial. As a result, some of his explanations are less clear than they need to be. It helps that videos of his linear algebra lectures are on the Web at [...], and those lectures clarify some of the "folksy" wording in the textbook. Strang obviously loves his subject and knows it thoroughly, but those qualities, however admirable, do not substitute for clear writing.

Georgi E. Shilov's book is also highly regarded, by me as well. Shilov is one of those no-nonsense Russian mathematicians who's all about the subject and doesn't care if you like him or not. As a result, his writing is very clear and straightforward, albeit a little stiff and formal even in translation. The great virtues of Shilov's book are that the writing is clear and it's very rigorous: in fact, a reader would do well to have some familiarity with abstract algebra before starting it. But the book's virtues are also its weakness: because of the rigorous treatment, Shilov offers considerably less conceptual hand-holding than Strang. Yes, you can understand what he's talking about, but you'd sure better have a strong mathematical background, time, and self-confidence to plow through his book, especially if it's on your own.

Which brings us, finally, to the Lay book. I am delighted to report that Lay combines the informal, encouraging tone and conceptual hand-holding of the Strang book with the clarity of the Shilov book. In other words, they're all good, but for most undergraduates, Lay is the best of the three. There's also an excellent study guide ( Linear Algebra and Its Applications: Study Guide (update) )for the Lay book.

65 people found this helpful

Baze

Great Primer for the Math Undergraduate, Excellent Review for Grad students

Reviewed in the United States on 13 September 2012

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Note: I am unsure why some other reviewers had problems with this text; personally, I loved it, and found it to be quite useful. Thus, the following review is based only off my experience with the book.

Lay's text, Linear Algebra and its Applications, provides an excellent balance amongst theory and application, providing many illustrations and practice problems to ensure a reasonable understanding of linear algebra. His lessons rarely leave the reader lost, as the author scatters example problems throughout each chapter. Before reading this text, I did not understand or even fathom all the applications that one could use linear algebra for.

It's not a terribly thick book, and nor does it weigh too much, thus making it easily accessible and movable. The binding is of strong and sturdy quality.

While the CD-Rom complements the book well and provides extra commentary and practice, I did not find it necessary. The book did a wonderful job of teaching me linear algebra on its own merits.

So, should you buy this book? I'd say yes, because you probably won't be disappointed. I can't give any reason to doubt this book's quality.

Hope this review helps you- please comment with any questions or concerns.

6 people found this helpful

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