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Linear Algebra and Its Applications
 
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Linear Algebra and Its Applications [Paperback]

David C. Lay

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Linear Algebra and Its Applications + Schaum's Outline of Differential Equations, 3ed (Schaum's Outline Series) + Schaum's Outline of Linear Algebra Fourth Edition (Schaum's Outline Series)
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More About the Author

David C. Lay
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Product Description

Product Description

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. David 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.

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.

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 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. 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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Customer Reviews

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Amazon.com:  16 reviews
9 of 12 people found the following review helpful
Pick a better option 9 Feb 2012
By ehmiami - Published on Amazon.com
Format:Hardcover
The book isn't too bad, but two weeks into class and we find out that some of the answers in the back of the book are incorrect. How do print a textbook and not find these errors? Chapter 1:Section 1? Really? The author should be able to do this in his sleep and find these mistakes? They should at least make note of this to those who pay over $100 for this book and are struggling in the first section, not by their lack of effort or understanding, but trying to get a correct answer. If you can't figure out Chapter 1, then you have been set up for failure. Don't get me wrong, I think the book is decent, but I feel that this is an issue that is very important and needs to be dealt with, if it hasn't already.
1 of 1 people found the following review helpful
I didn't like it despite some good points. 25 Mar 2012
By Missionary - Published on Amazon.com
Format:Kindle Edition|Amazon Verified Purchase
Pros: I don't know about the actual Kindle, but I can read the eBook version my PC pretty well, and, unlike some of my other eBooks for college, this one has accurate paging instead of that crazy "Location 15,789 of 75,000" confusion.

In many cases, the definitions and theorem are alright.

Cons: There were alot of cases where something seemed to be straight forward for me, but then other cases, would totally not be. I got the feeling that the guy intended to look more mathematical than he needed compromising his ability to make a clear point. One thing I found really annoying was that the answers in the back to the odd problems were often either ambiguous or nonexistent. He never even gives the true or false answers. That would be okay, if the answers were somewhat clearly found in the text. I found myself going to Khan Academy and saving huge amounts of time, while largely annoying ignoring the text. I understood the topics much more after that. (My grades reflected this.)
3 of 4 people found the following review helpful
It tells you How but not WHY. 21 April 2012
By 1 - Published on Amazon.com
Format:Hardcover|Amazon Verified Purchase
Overall it is a mediocre math textbook with classic math textbook layout, theorem-proof-example, but the language it used is quite confusing. I mean, not pedantic that kind of confusing, but rather the interchanging of terminologies makes it hard to follow up. Linear algebra this subject has a huge amount of concepts that tell you the same thing from different perspectives and it requires a lot of work to be done by yourself so that you can absorb the concepts and convert from one to the other. Yet this book uses too often different terminologies, even in the same sentence, to explain a simple example without further explanation. So sometimes you need to look back and forth just to understand what he is talking about, which is frustrating. And most of the points are made between examples, without a clear definition before and after the them, which is kind of messy. The major complaint I have for this book is its lack of explanations. Most of the time it just tells you the exact procedure to solve a problem, like the way to perform LU matrix factorization, but fails to explain how to derive it from the knowledge mentioned before. And this book uses a really implicit way to point out the connection of chapters so sometimes when you look back several chapters you will find everything become clear. In addition, notations used in this book are HORRIBLE!! For instance, chapter 4.8 difference equation, if you study by yourself without your instructor's notes, you will completely get lost in its disastrous way of using notations. I cannot even figure out what is vector, what is sequence and what is scalar. This book adopts nontraditional way to organize the material. Instead of applying the knowledge after fully introducing them, this book first talks about really basic skills and then mixes the most advanced concepts and theorems with real world application and does not tell you how to relate them with previous chapter. Drawback of this approach is it definitely escalates the level of difficulty for students to learn them, but advantage is if you work really hard and once you understand the model, you will master the material. Another complaint I have about this book is it just tell you this is the model and how to solve it but not to mention how to set up the model...So whether this book is good or not, you can make the decision by your own.

Some advice to do better using this book:
1. fully understand all the basic concepts.
2. go through examples carefully and connect them with prior knowledge if you want to know why it is like that.
3. if you don't understand something just refer previous chapters you may find some clues.

Good luck to all of you!

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