Elementary Euclidean Geometry: An Undergraduate Introduction [Hardcover]

C. G. Gibson (Author)

Book Description

ISBN-10: 0521834481 | ISBN-13: 978-0521834483 | Publication Date: April 5, 2004

This introduction to the geometry of lines and conics in the Euclidean plane is example-based and self-contained, assuming only a basic grounding in linear algebra. Including numerous illustrations and several hundred worked examples and exercises, the book is ideal for use as a course text for undergraduates in mathematics, or for postgraduates in the engineering and physical sciences.

Editorial Reviews

Review

'This is a nice and self-contained introduction into the geometry of the lines and the conics in the Euclidean plane within an analytical context'. Zentralblatt MATH

Book Description

This is a genuine introduction to the geometry of lines and conics in the Euclidean plane. The treatment is example based and self contained, assuming only a basic grounding in linear algebra. With numerous illustrations and several hundred worked examples and exercises, this book is ideal for use as a course text for undergraduates in mathematics, or for postgraduates in the engineering and physical sciences.

See all Editorial Reviews

Product Details

• Hardcover: 190 pages
• Publisher: Cambridge University Press (April 5, 2004)
• Language: English
• ISBN-10: 0521834481
• ISBN-13: 978-0521834483
• Product Dimensions: 8.9 x 5.9 x 0.6 inches
• Shipping Weight: 15.2 ounces (View shipping rates and policies)
• Average Customer Review: 4.0 out of 5 stars  See all reviews (1 customer review)
• Amazon Best Sellers Rank: #3,053,149 in Books (See Top 100 in Books)

More About the Author

Discover books, learn about writers, read author blogs, and more.

Customer Reviews

Most Helpful Customer Reviews

10 of 10 people found the following review helpful:

4.0 out of 5 stars Geometry of lines and planes in the Euclidean plane, February 27, 2005

By 

Charles Ashbacher (Marion, Iowa United States) - See all my reviews
(TOP 500 REVIEWER)    (VINE VOICE)    (HALL OF FAME REVIEWER)   

This review is from: Elementary Euclidean Geometry: An Undergraduate Introduction (Hardcover)

The content of this book is not what I expected from the title. My thoughts were that it would be a book of traditional geometry, based on the Euclidean set of axioms. Instead, the book covers the geometry of lines and conics in the Euclidean plane.
It begins with the representation of points and lines as vectors and how length and distance are computed in the Euclidean plane. From this, the equations of the three standard categories of conics, as well as all of the associated figures such as the asymptotes are examined. Understanding the material requires knowledge of the basics of linear algebra, in particular how to work with matrices and determinants.
The presentation is well done, based on a large number of worked examples and many figures. If your interest is in learning the formulaic representations of conics in 2-space, then this book is right for you. However, I do consider the title misleading, the book is not about geometry as we usually consider it in the Euclidean sense. It deals with an application of geometry as applied to a specific class of figures and equations.

Published in Journal of Recreational Mathematics, reprinted with permission.