Linear Algebra and Its Applications 5th Edition by David Lay (PDF)

Description

NOTE: Before purchasing, check with your instructor to ensure you select the correct ISBN. Several versions of Pearson’s MyLab & Mastering products exist for each title, and registrations are not transferable. To register for and use Pearson’s MyLab & Mastering products, you may also need a Course ID, which your instructor will provide. Used books, rentals, and purchases made outside of PearsonIf purchasing or renting from companies other than Pearson, the access codes for Pearson’s MyLab & Mastering products may not be included, may be incorrect, or may be previously redeemed. Check with the seller before completing your purchase. Note: You are purchasing a standalone product; MyMathLab does not come packaged with this content. MyMathLab is not a self-paced technology and should only be purchased when required by an instructor. If you would like to purchase both the physical text and MyMathLab, search for: 9780134022697 / 0134022696 Linear Algebra and Its Applications plus New MyMathLab with Pearson eText — Access Card Package, 5/e 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.

User’s Reviews

Editorial Reviews: 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. 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. 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.

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐always appreciate cheaper textbooks

⭐The condition is not very good.

⭐My initial impressions for this book were quite high based on the early material, but I’m glad I waited until mid-semester to review this book. For some background, I took a course using this book as a refresher on my linear algebra skills as I pursue a masters in statistics. For those with limited exposure to statistics, much of the underlying mechanics in statistics is pure linear algebra, so this material is not new to me.The physical copy of the book and print quality is of high quality and I can not find any fault with the printing and binding of the book.The content is a hot mess. The first chapter does a great job of clearly explaining concepts, providing good examples, and generally teaching the material for the core fundamentals of linear algebra. The second chapter is also pretty good. In fact, I would even recommend the first chapter to a new student.The remaining chapters feel poorly edited and are a mishmash of poorly explained concepts with sloppy, hand-waving proofs. Layout and editing are often terse to a fault, forgoing the use of white space and line breaks when explaining concepts in favor of a dense and sloppy paragraph format that clearly are an attempt to save printing space. Worse, this book often introduces concepts *within the homework exercises* with zero discussion dedicated in the text regarding those concepts. Just a “surprise! here’s a new thing you are left to figure out on your own!” The book often gives off “we leave this as an exercise to the reader” vibes.Also, the study guide is possibly the worst student study guide I have ever seen. Worse, the tone within the study guide is often paternalistic and condescending with statements reminding the student to read the chapter throughout the study guide. Sometimes the problems in the study guide don’t match the problems in the homework. Don’t buy the supplemental study guide unless you are *required* by your instructor.My biggest complaint about this textbook is the sloppy, slapdash manner in which the book approaches proofs. The authors may be knowledgeable in linear algebra, but they fail to prove it and show their work. Even the first chapter has this problem, but the concepts are simple enough that a sloppy and poorly formatted proof is often sufficient to… ahem… prove the point. At least one or two proofs simply handwave away the work of a proof by casually referring to the principle of induction and being done with it, but without ever *demonstrating* that the principle of induction actually applies. If I ever would have attempted to turn a proof to my math instructors formatted in the way that this book chooses to illustrate proofs, my instructors would have docked half-credit. Part of math instruction should rely on teaching students the importance of orderly and planned thought and being able to clearly show your work.If I didn’t already have a strong foundational set of math skills, this book would be teaching me very bad habits with regards to proofs. The proofs in this book are so bad that my current instructor needed to create his own material to demonstrate to the rest of the class how to properly prove something.I considered giving the book 1 star, but the physical quality of the book is actually quite good and the first chapter is actually good enough that I believe most students could self-teach the content from that chapter, so I bumped it to 2 stars. If the quality would have at least stayed at that level through the rest of the book it would have been a 3 or even 4 star book.

⭐This book looks very good. In the description of the book, it says that this book is of good quality. I think this book is of very good quality. Although there was some highlight, that should be considered as the proof of the used book. Highly recommend this book store.

⭐This book was required for my Matrices class and it’s a great resource for extra problems and examples. I found myself going back to this book and the sections, reviewing the material before quizzes and exams. I will say that I wish it gave more examples along with the sections, but it does the job regardless. The sections may be out of order, depending on the curriculum as it was for me. The back of the book has some solutions to the hw problems, but you should be able to find them online with other *extra* resources.Definitely a better buy (rental) versus my university’s book store. The difference in rental pricing was huge!

⭐Probably the SINGLE WORST mathematics book I have ever had the misfortune of reading.First, let me say this, unless you have a great instructor and don’t have to rely too heavily on the book you will be in trouble. If you have a GREAT handle on discrete mathematics you may be better off (I’m assuming anyone reading this has at least taken Calculus I, beyond/around Integrals) but not by much.Lets start with the actual content/chapters. They are great, small and digestible (each section in a chapter is normally 4-7 pages, with half of most pages being figures and theorem definitions, etc). But that is ALSO where this book falls short, and I will explain this shortly.Second, the questions/assignment. This is one of those math books where the author thinks its clever or more valuable to “leave this proof as an exercise”. I ABHOR mathematics books such as this. I AM A STUDENT, as a textbook or instructor I except you to prove a theorem or exercise, not leave me, the learner to fend for myself. I understand that IF the student is capable of doing such an exercise they may retain it more, but this is hardly practical in such a rigorous field as mathematics. I want the textbook to EXPLAIN why a theorem is correct, not let me try to flail around only to become frustrated after 30 minutes, with NO HOPE whatsoever, because oddly enough this question is an even-numbered question (with no answer in the answer key at the end of the book). Interesting… have me try to prove a “supplementary” theorem but I have no way to tell if I am correct, or even how to attempt to make it correct. Which leads me to my next, and final point, and the one which leads me to give this book such a horrible review (if I could give it partial stars or a 0 star I would).The subject matter, tied in with the end-of-section questions, is LACKING. Let me explain. When reading a section you feel you have a great grasp of the content. After all, it’s maybe at most 7 pages (and trust me, for a math book these pages are NOT dense or full of text), so there’s not an overwhelming amount of content (which is a nice change of pace), HOWEVER you will often find that the questions asked at the end of a section are MUCH more difficult than the content of the section. Basically what I’m saying is that the section introduces watered down, distilled, and easy content, yet the questions are incredibly difficult and not even explained in the section. You will get to a majority of the questions and have little to no clue how to do them by simply reading the section. And this is where I make my final decision. I’ve read calculus books that are thick and dense with text. Yes, they draw on, sometimes they offer too much, but at least when I get to the questions at the end of a section that’s harder than the rest in one of these books I can say, “Well… I saw a paragraph related to this question, maybe I can re-read that or try to understand it more”. The exercises leave too much work to be done by the student, is what I’m saying. There is a difference between guiding a learner, and just throwing them off the deep end and hoping they can swim, and this book does that along with blindfolding you and tying your hands together.Don’t get me wrong, I passed my Linear Algebra class with an A, but I ONLY DID SO thanks to the help of Khan Academy, and some other online resources that explained the concepts MUCH better than this filth ever could. I almost feel bad for leaving a review like this, but I just wanted to warn others before they purchased this, or if they had too for a class perhaps I could warn them early on to not rely too much on this text.The ONLY thing this book is useful for is the exercises. Unfortunately when you actually want to be taught a subject exercises alone cannot do that. So I will say it again, if you have a great/descriptive Professor, then he/she and this book may go very well together. But if you’re trying to self-learn through this book, or have a lackluster professor who depends too much on rehashing subject matter already taught IN THIS BOOK, then you’ll find only a world of frustration and pain. Take my advice if that happens to you: Khan Academy, A Dummies Book, online resources, ANYTHING besides this textbook!On the writing style: This is also a very technical book. You will find little in the way of relatable concepts. Most theorems/subjects in the book are related only by other theorems and such. In other words the book never tries to tie-in concepts with the real-world or other mathematical fields, or simple examples that could better help someone to understand a concept. That’s why I loved discrete math, it was able to teach me why numbers work, or why certain techniques in Calculus or Algebra function the way that they do, or how certain things in nature or the real-world could be explained by mathematics. I even felt that way to some extent about my calculus textbook. The author simply relies on very rigorous definitions. Don’t get me wrong, I LOVE rigorous mathematics definitions, but I prefer to have a concept taught to me in layman’s terms first, THEN have the formal proof shown to me, or at least give me a rigorous proof and some good examples to go along with it. Again why this book fails, as it either shoves these proofs at you head-on without warning OR leaves them to you to prove yourself as an exercise, OR the proofs/examples given after such a concept is introduced are lacking (either in description, or depth).So while this is an easy and fast read at heart it does NOT do Linear Algebra justice, and it especially does the student a dishonor.

⭐Best seller. Buy books from them

⭐I teach at a public university and hold a Ph.D. in economics. I bought this book for my son, who is a senior in high school and took an online course in linear algebra during the summer. So I did not work through the entire book, but I read some chapters out of interest.This book offers an excellent introduction to linear algebra. It is suitable for both advanced high school students and college students in their first semesters.The explanations are clear. Numerous practice questions help students understand the material.

⭐Paper quality and printing quality is not good.But content is superb.I think it’s an Indian edition.Choose international version.

⭐Muy buen estructurado manual con un enfoque didáctico y funcional eficazmatter not clear presented

⭐I already borrowed this book at the university library before so I knew what I was buying. Out of every linear algebra books I’ve looked at, this one was my favorite.I would definitely recommend buying this book. It gives a great insight into linear algebra and the format is such that it is not overwhelmingly theoretical. Lots of examples after each concept makes anything understandable.It’s to be noted that the hardcover edition has frail pages. I don’t have data on the paperback edition.You can find the online chapters by googling:”Chapter 9 Linear Algebra and its Applications” &”Chapter 10 Linear Algebra and its Applications.”I would take half a star away for paper quality and design (who thought the fully blue and yellow paperback cover was a good choice?) but it’s not worth taking a full star off so I can only give it 5 stars.Lo que necesitaba para estudiar

⭐

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