Linear Algebra: An Introduction | 
 enlarge | Author: Richard Bronson
Publisher: Academic Press
Category: Book
Buy New: $268.06
New (1) Used (7) from $85.00
Rating:  4 reviews
Sales Rank: 862425
Media: Paperback
Pages: 504
Number Of Items: 1
Shipping Weight (lbs): 2.1
Dimensions (in): 9.3 x 7.5 x 1
ISBN: 0121352455
Dewey Decimal Number: 512.5
EAN: 9780121352455
Publication Date: June 2, 1995
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Shipping: International shipping available
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Product Description
In this appealing and well-written text, Richard Bronson gives readers a substructure for a firm understanding of the abstract concepts of linear algebra and its applications. The author starts with the concrete andcomputational (a 3 x 5 matrix describing a stores inventory) and leads the reader to a choice of major applications (Markov chains, least squares approximation, and solution of differential equations using Jordan normal form). The first three chapters address the basics: matrices, vector spaces, and linear transformations. The next three cover eigenvalues, Euclidean inner products, and Jordan canonical forms, offering possibilities that can be tailored to the instructors taste and to the length of the course. Bronsons approach to computation is modern and algorithmic, and his theory is clean and straightforward. Throughout, the views of the theory presented are broad and balanced. Key material is highlighted in the text and summarized at end of each chapter. The book also includes ample exercises with answers and hints. With its inclusion of all the needed pedagogical features, this text will be a pleasure for teachers and students alike.
* Gives a firm substructure for understanding linear algebra and its applications
* Introduces deductive reasoning and helps the reader develop a facility with mathematical proofs
* Begins with the concrete and computational (a 3 x 5 matrix describing a stores inventory) and leads the reader to a choice of major applications (Markov chains, least squares approximation, and solution of differential equations using Jordan normal form)
* Covers matrices, vector spaces, linear transformations, as well as applications to Jordan canonical forms, differential equations, and Markov chains
* Gives computational algorithms for finding eigenvalues and eigenvectors
* Provides a balanced approach to computation and theory
* Highlights key material in the text as well as in summaries at the end of each chapter
* Includes ample exercises with answers and hints, in addition to other learning features
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| Customer Reviews:
 Easily the best introduction to linear algebra July 28, 2006
Randolph Crawford (Lansdale, PA USA)
6 out of 6 found this review helpful
I've tried to learn on my own from several other linear algebra books (Anton, Lay, McMahon), but like many college-level math textbooks, the authors too often emphasize elegance at the cost of clarity. This frequently leaves me scratching my head, asking "How did he get here from there"? Bronson is the only linear algebra text I've seen that SKIPS NO STEPS. I wish more mathematicians understood how critical to learning explanation and illustration are, in contrast to adding Yet Another Proof.
This is not to say that Bronson isn't rigorous. But his exposition comes first; only then does he get formal--his proofs do not substitute for discussion. (In fact, his proofs are often quite straightforward and intuitive, IMHO).
Bronson's is a very welcome attitude among math instructors. This is an excellent book.
Very good and easy introduction February 11, 2000
11 out of 11 found this review helpful
As I started my studies at Uni and we got this horrible Algebra teacher I was looking for some good book to help me pass this course. This book met all my requirements. This book starts with a very easy example of a matrix and builds up from there with easy to follow steps. Even though the book is very easy to read and explains Algebra very comprehensively it still meets the universitiy-level. Everything stated is formally proved or left as an exercise. An excellent book for a guy that thought he'd never understand linear algebra. This book proved me wrong. It may lack some topics, but the ones in the book surely can't be found elsewehre explained as good as in there.
Comment on the Commments: April 9, 2007
I. Collier
0 out of 2 found this review helpful
Clean up, or clear up, those errors and 'typos' and you'll be a '5-star' all the way!!!
 Well written, but too many typos and mistakes. June 7, 2000
4 out of 4 found this review helpful
Overall this is very well written, an excellent introduction to the subject. It would definitely be a five-star book if it weren't for all the mistakes. A few typos are acceptable, but too many of the example problems and solutions had incorrect, confusing errors. I spent most of my reading time trying to sort these out!
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