Linear Algebra: An Introductory Approach

by Charles W. Curtis

Book Overview

This book is an introduction to linear algebra, designed as a textbook for upper-division courses. It includes the basic results on vector spaces over fields, determinants, the theory of single linear transformation, and inner product spaces. The text presents proofs of the main theorems and includes numerical examples and exercises; applications to geometry, group theory and differential equations are given.

• Format: Hardcover
• Language: English
• ISBN: 0387909923
• ISBN13: 9780387909929
• Release Date: January 1984
• Publisher: Springer
• Length: 350 Pages
• Weight: 0.05 lbs.
• Dimensions: 1.0" x 6.4" x 9.3"

Customer Reviews

Good Book for Introductory Linear Algebra

This is a fantastic resource for basic linear algebra. It covers the topics from a rather theoretical perspective, which lacks many examples or practical applications, but presents the theory better than most alternate books. The book does include some applications/advanced theory moving past the basic topics of solutions of systems, vector spaces, linear transformations, determinants, and orthogonality, which includes solving differential equations and basic symmetry theory. The book is short and sweet, which is good if you can handle more advanced math textbooks, but not good for those looking for detailed explanation (some of the proofs of basic concepts are even left up to the reader when appropriate). This book is better for those already familiar with the subject matter or those looking for a challenge.

Used for Self Study

I used this book for an independent study of linear algebra in undergrad. I'd had no prior exposure to the field, but had taken very good real analysis and abstract algebra courses prior. My self-study was quite effective, which is a testament to the book, since it was essentially the only material I had. (There were a few typos I remember seeing, as well as some unclear formulas/notation here and there, hence the four stars, but nothing serious).

Beautiful Work

I used this book for a first course in linear algebra at Ohio State University and I could not have been more satisfied. It is a challenging book to use, but very rewarding for those who put the time into it.

A Fine Book On Special Topics

This book treats linear algebra in the way it should be - fairly theoretical, but without sacrificing the physical meanings behind. Its special attentions on topics such as Jordan canonical form, orthogonal transformation, symmetry groups, etc., are quite successful in bringing out the importance of linear algebra in other areas of mathematics. Yet, it does not cover sufficient materials for matrices over the complex field, possibly due to a restricted introductory scope for this book.

Perfect Replacement for Yale Univ. MATH 222 (Garland)

Perfect supplement (or replacement) for Yale University's MATH222's Prof. Garland's incomprehensible lectures. It replaces theterrible textbook used at Yale most perfectly.