Linear Algebra (3rd Edition) 3rd Edition

Perfect and in good condition.

LINEAR ALGEBRA, Third Edition, is one of the better books on linear algebra. The material is presented in an abstract and mathematically rigorous fashion. The focus of the book is on the ideas and proofs behind the linear algebra -- its treatment of applications to physics and computer science is almost nonexistent. Topics covered include vector spaces, linear transformations, systems of linear equations, determinants, inner product spaces, eigenvalues and eigenvectors, and canonical forms.For the aspiring engineering or computer science student, this book is not for you. Basic matrix theory is enough for those fields, and this book is littered with rigorous proofs. There are many other textbooks that present linear algebra from more of an engineering or computer science perspective. As an alternative I recommend that you take a look at "Matrix Analysis and Applied Linear Algebra" by C.D. Meyer.The style of this book is written in the traditional theorem-proof-example style and is thus geared more towards aspiring mathematicians, especially those who enjoy theory and pure mathematics. Many of the examples demonstrate less than obvious inferences and can be very useful, but of course the meat of the book lies in the comprehensive build-up of linear algebra theory from a mathematically sophisticated point of view.In summary, a highly recommended purchase for mathematicians. Computer scientists and engineers should look elsewhere though.

This book combines a very rigorous treatment (with a flavoring of abstract algebra) and interesting applications. The presentation is very clear and straightforward. You get theorems, a proof of each one, and curious exercises. Some exercises also challenge you to develop and prove results about some side topics. As you go through the chapters and learn more, you prove further results. Also, this book is the first which presented Jordan forms lucidly and thoroughly. Other texts shove it into the appendix, which is a mistake, since this topic is important.Finally, the applications are plenty. Standard ones like Markov chains, plus a few fascinating applications, like an entire section devoted to the development of the basics of Special Relativity.This should be the standard text on linear algebra, instead of that drivel by Strang.

I use this book for reference/review purposes and I am very satisfied with it.The book has a nice emphasize on the mutual relationship between linear transformations and matrices. And it is very readable for me. I finish all materials in a short time.I believe that this book has a fourth edition now, though I don't think that it would be much difference to use an older one.Perhaps the book can be more concise by combining several lemmas/theorems together. For instance, theorem 5.13 and the previous lemma seem not to be necessary (and too easy to prove) and should be combined with theorem 5.14. Also I doubt if this book can be used for the first course in algebra as the author indicated, unless you are teaching a group of genius, of course.

In my experience thus far, I have not come read another introductory algebra that is as comprehensive and thorough as this one. It does not sacrific clarity for the mathematics and similarly it does not sacrifice mathematics for clarity. From the beginning it builds and expects you to keep up as it introduces new topics. There is a definate succession and continuity in this volume which does not exists in many other introductory algebra texts. Furthermore, it presents good proofs and asks for the reader's help where appropriate.The only aspect of the book that I would critique is its problems. Even though they have somewhat challenging ones, there are none which truly test the depths of ones thinking on the material presented. For example, Spivak does this well in his "Calculus".Nonetheless, this is a great book. It covers standard topics with a few applications thrown in for good measure. Even so, it is unmistakebly a math book, not a science/engineering text on mathematics. I would recommend this to anyone who want a solid start in linear algebra.

If you major in engineering or economicsplease don't buy this one. this is for thosewho want to be mathmaticians, or for thosewho feel real interest in math.so you guys who think that knowing how tomultiply Matrix and solve System of equations,please look for the easy, less rigorous one.this might be a little challenging for the firstcourse text in linear algebra, (actually I feeldifficulty too. when I was taking the course.)but keep going on and by the time you understandthe first two chapters thourouhly, you'll see why"Linear Algebra"is said to be one of the mostbeautiful part of math.It's not about Multiplying Matrixes... checkingdeterminant bla bla...It's about the space and the relation between them.peace.

This book has a lucid treatment of the matrix theory and linear trnasformations of differential equations. although the applications are extended upto Hamiltonians, Markov chains and relativity to name a few. All in all an excellent book which prepares the reader for more specific topics according to reader's taste. Worth reading is the 6th chapter for advanced students intending to major in physics or maths. Definitely worth having one in your shelf. Clear presentation and ample examples will encourage your appetite for matrix theory etc.