Download Ebook Elementary Matrix Theory (Dover Books on Mathematics)
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Elementary Matrix Theory (Dover Books on Mathematics)
Download Ebook Elementary Matrix Theory (Dover Books on Mathematics)
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Product details
Series: Dover Books on Mathematics
Paperback: 352 pages
Publisher: Dover Publications (April 1, 1980)
Language: English
ISBN-10: 0486639460
ISBN-13: 978-0486639468
Product Dimensions:
5.8 x 0.8 x 8.2 inches
Shipping Weight: 12.8 ounces
Average Customer Review:
3.8 out of 5 stars
5 customer reviews
Amazon Best Sellers Rank:
#1,911,621 in Books (See Top 100 in Books)
This is not really a beginner's book. But it is certainly not an advanced book. It has more numerous practical hands-on exercises than an abstract algebra book would have. But it has some abstract algebra which beginner's books would not have. It also presents complex matrices side by side with real matrices throughout. And there are numerous "Addenda", which are more advanced extensions at the end of each chapter.This 1966 textbook by Eves shows how to perform various practical matrix procedures by hand, which nowadays would be done on computers. However, doing matrix operations by hand is a good way to understand the concepts better.The table of contents of this book gives a very good idea of its contents. So no summary is required here. The historical notes in Chapter 0 contain various details which I have not seen in other matrix algebra books. The author refers to a wide range of applications for matrices, many of which I've not seen mentioned elsewhere.Chapter 1 presents matrix multiplication, which is closely linked to linear transformations, as pointed out on pages 43-44. But then on pages 44-46, the use of matrices for bilinear forms is presented. This shows the real danger of trying to present matrix algebra in the absence of the underlying linear algebra abstraction. For example, matrix multiplication is not of great relevance to the matrices of bilinear forms. Many of the common matrix operations are relevant to only one of these two contexts. For example, Chapter 2 presents row operations, which are important for the solutions of systems of linear equations y=Ax, but these operations do not have the same sort of significance for bilinear forms f(x,y)=x^TAy.This book is apparently intended primarily as a kind of "service course" textbook. In other words, it is intended for students in other subjects who do not intend to become mathematicians. Perhaps nowadays with computers, this fairly practical book is less relevant. However, I think that in conjunction with other books, it's a great way to get some background, particularly hands-on computation to make abstract concepts more concrete.
This was a purchase for my children as I like them to keep reading and learning to further their education. They enjoyed it.
This book was a waste of money. The author does not know how to communicate with an average reader. So much for calling itself "Elementary" ...
I love this book. It contains a wealth of information on basic matrix theory that one almost never gets in the classroom or typical undergraduate texts. I never realised how rich the theory of matrix theory was until I read this book. Bare in mind, however, that this is not a text on linear algebra . . . the author does touch upon the subject, but even then it is linear algebra in the context of matrix theory and not matrices in the context of linear algebra. This is rather an old approach, but one I think that is very enlightening. The author touches on advanced topics such as Lie products, Hamilton products, tensor products and so on. I this way, the student learns that the traditional way of multiplying matrices is not the only way, but simply the way that linear algebra chooses to make use of the matrices. The level of the book is undegraduate, so that any intelligent high school student should be able to get much out of the book. No real math background is required, although it would be helpful. Theory is paid attention to, but a great deal of detail is also given worked out problems, making it ideal for math students who don't yet feel comfortable with advanced theoretical math.
This is best mathematics book I've ever read. Eves presents his thoughts clearly and natural way, making it a comfortable reading experience.The book has widened my understanding about matrixes.
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