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A Vector Space Approach to Geometry (Dover Books on Mathematics) Paperback – June 23, 2010


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A Vector Space Approach to Geometry (Dover Books on Mathematics) + Vector Geometry (Dover Books on Mathematics) + Geometrical Vectors (Chicago Lectures in Physics)
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Product Details

  • Series: Dover Books on Mathematics
  • Paperback: 416 pages
  • Publisher: Dover Publications (June 23, 2010)
  • Language: English
  • ISBN-10: 0486404528
  • ISBN-13: 978-0486404523
  • Product Dimensions: 8.5 x 5.4 x 0.8 inches
  • Shipping Weight: 15.2 ounces (View shipping rates and policies)
  • Average Customer Review: 4.7 out of 5 stars  See all reviews (7 customer reviews)
  • Amazon Best Sellers Rank: #327,173 in Books (See Top 100 in Books)

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Customer Reviews

4.7 out of 5 stars
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He does this very nicely at an introductory level.
Ken Braithwaite
If you have never had an introduction to linear algebra before, you may have to supplement this with a linear algebra book.
Shankar N. Swamy
In fact, this book could almost be considered an Analytic Geometry book 'done right.'
Henry Lenzi

Most Helpful Customer Reviews

38 of 38 people found the following review helpful By Shankar N. Swamy on December 22, 2000
Format: Paperback
This is essentially a high school geometry book; but with a difference - its fully linear algebra based approach. If you are a beginner in computer graphics, and want to review elements of geometry and linear algebra, you will benefit from studying through this book.
The almost four hundred pages book is remarkably readable and is very consistent at that. There are both worked out examples and exercise problems, for each section - which are very useful for self-study or revision.
If you have never had an introduction to linear algebra before, you may have to supplement this with a linear algebra book. But if you have not had a good course in elementary geometry, and your motivation is getting started with elementary Computer Graphics/CAD and the likes, this is a good book for that.
Interspersed with the subject matter discussed at a elementary level, in a useful, stimulating style are small, interesting discussions on such useful and relatively advanced topics as function spaces, fixed point theorem in affine transformation, simplices, symmetries etc. I rarely have seen any of these topics mentioned in a book aimed at this level.
Highly recommended for freshman undergraduates and those without any mathematics experience who want to start in Graphics, CAD, CAGD and the likes. Recommended also for experienced practitioners in Graphics: it is good to review the fundamentals once in a while, and a well written book that is a quick read helps at that!
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32 of 33 people found the following review helpful By Ken Braithwaite on December 1, 2000
Format: Paperback Verified Purchase
The basics of the very deep connection between geometry and vector spaces. If you do undergrad math you will see everything in this book during first and second year. But what this book does is fit those bits together. He does this very nicely at an introductory level. If you are not in math, but need to learn some geometryfor a physics course, this will be a useful book.
It is a formal math book, with axioms, but it is strong on motivation and has some quite amusing examples.
Keywords: tangent spaces, determinants, barycentric, linear transformations.
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32 of 34 people found the following review helpful By Matthew Scarpino on June 12, 2000
Format: Paperback
Having suffered through enough dry, pointless courses in vector algebra and analysis, this book was a genuine pleasure. Requiring no mathematical background whatsoever, Mr. Hausner makes the properties of vectors and matrices (cross-products, determinants, eigenvalues) intuitively obvious. With detailed descriptions and graphics, the science of vectors is made very clear. Further, Mr. Hausner's use of levity and practical examples makes for a very enjoyable read.
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25 of 26 people found the following review helpful By Peter S. Shirley on September 8, 2000
Format: Paperback Verified Purchase
I have been reading many books on vector analysis, geometry, and linear algebra this year. Many of them have been good, but this book stands alone for deriving the basics of determinants, vector products, geometry, etc. in a clear and intuitive manner along with great examples. A wonderful, wonderful book.
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