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Linear Algebra and Its Applications (5th Edition), by David C. Lay, Steven R. Lay, Judi J. McDonald

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With traditional linear algebra texts, the course is relatively easy for students during the early stages as material is presented in a familiar, concrete setting. However, when abstract concepts are introduced, students often hit a 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. These concepts are fundamental to the study of linear algebra, so students' understanding of them is vital to mastering the subject. This text makes these concepts more accessible by introducing them early in a familiar, concrete Rn setting, developing them gradually, and returning to them throughout the text so that when they are discussed in the abstract, students are readily able to understand.
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- Sales Rank: #1832 in Books
- Published on: 2015-01-03
- Original language: English
- Number of items: 1
- Dimensions: 10.00" h x 1.00" w x 8.10" l, .0 pounds
- Binding: Hardcover
- 576 pages
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. David 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 published more than 30 research articles on functional analysis and linear algebra. As a founding member of the NSF-sponsored Linear Algebra Curriculum Study Group, David Lay has been a leader in the current movement to modernize the linear algebra curriculum. Lay is also a coauthor 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. David 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 University 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. David 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.
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Steven R. Lay began his teaching career at Aurora University (Illinois) in 1971, after earning an M.A. and a Ph.D. in mathematics from the University of California at Los Angeles. His career in mathematics was interrupted for eight years while serving as a missionary in Japan. Upon his return to the States in 1998, he joined the mathematics faculty at Lee University (Tennessee) and has been there ever since. Since then he has supported his brother David in refining and expanding the scope of this popular linear algebra text, including writing most of Chapters 8 and 9. Steven is also the author of three college-level mathematics texts: Convex Sets and Their Applications, Analysis with an Introduction to Proof, and Principles of Algebra. In 1985, Steven received the Excellence in Teaching Award at Aurora University. He and David, and their father, Dr. L. Clark Lay, are all distinguished mathematicians, and in 1989 they jointly received the Outstanding Alumnus award from their alma mater, Aurora University. In 2006, Steven was honored to receive the Excellence in Scholarship Award at Lee University. He is a member of the American Mathematical Society, the Mathematics Association of America, and the Association of Christians in the Mathematical Sciences.
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Judi J. McDonald joins the authorship team after working closely with David on the fourth edition. She holds a B.Sc. in Mathematics from the University of Alberta, and an M.A. and Ph.D. from the University of Wisconsin. She is currently a professor at Washington State University. She has been an educator and research mathematician since the early 90s. She has more than 35 publications in linear algebra research journals. Several undergraduate and graduate students have written projects or theses on linear algebra under Judi’s supervision. She has also worked with the mathematics outreach project Math Central http://mathcentral.uregina.ca/ and continues to be passionate about mathematics education and outreach. Judi has received three teaching awards: two Inspiring Teaching awards at the University of Regina, and the Thomas Lutz College of Arts and Sciences Teaching Award at Washington State University. She has been an active member of the International Linear Algebra Society and the Association for Women in Mathematics throughout her career and has also been a member of the Canadian Mathematical Society, the American Mathematical Society, the Mathematical Association of America, and the Society for Industrial and Applied Mathematics.
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Most helpful customer reviews
25 of 28 people found the following review helpful.
A good bridge between abstract and physical!
By David Schweitzer
First of all, I want to briefly talk about the history of the editions of this book starting with the 3rd edition.
The third edition was, for the longest time, considered the best, significantly better than the first two editions, and was largely loved by more people than the "main competitor," the book by Dr. Lang. Then came the "updated 3rd edition" and 4th editions, and I don't know what Dr. Lay was thinking, but the 3rd edition really messed with the ebb and flow of problems and content and the 4th edition was so awful with all the errors riddled I swear he must have gotten a random person from the street to rewrite his book from scratch by looking at scribbled notes or something. By this point, it seems Lang's book was gaining more favor as Lay's went downhill.
Now the 5th edition comes. It seems a good return to form to the 3rd edition, which is nice. This book is geared for the physical scientist/engineer in mind and mathematician second. It treats itself as a student's first (gentle) introduction into abstract mathematics, a necessary tool for upper level courses in any STEM area, providing plenty of visuals that make sense, solid examples from both a plug-and-chug standpoint and a physical standpoint, and very clear progression in the difficulty of problems. In fact, the most meaningful exercises are the most difficult ones, such as a project involving resistors in a circuit with infinitely increasing parallel routes or the final problems in the predator-prey systems.
But most importantly I feel are the True/False problems littered throughout the book. They are the student's real test into thinking abstractly by paying careful attention to definitions (and how precisely they are worded), as well as demanding counterexamples when necessary.
This book is well written enough for self study. When I took the course as a sophomore, I only struggled because I didn't bother reading anything (like most students), and I was a borderline B/C student. Just before the final exams, I simply started on the first section and wrote down every single example word for word, step for step, and I wound up making the second highest grade on the final exam, and (for the first time in the class) I actually knew what I was doing. I went back and actually reread it over the break and it was such a simple read I wonder why I didn't just do it before.
Ultimately, Lay is very good at bridging the gap between a physical system (for scientists and engineers) and an abstract system (for mathematicians), where Lang seems more focused on keeping them separated (and making it clear with his presentation of problems). Lay may not be as eloquent as Lang, but bridging that gap is such an importance that I feel I got more out of it in preparation for my optimization courses and doing abstract research in operations research better than my colleagues who were raised on Lang (who have a stronger grasp of the ideas than I do but fall short in applying them).
5 of 7 people found the following review helpful.
Half the textbook is missing
By Justin Egbert
"See the study guide for the answer to this problem". Doctors Lay, Lay, and McDonald: If you give me half a textbook, I'll give you half a review.
0 of 0 people found the following review helpful.
Five Stars
By Peter Hoge
Great math book. The notation is not overkill like most upper division math books!
See all 42 customer reviews...
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