Elementary Geometry of Algebraic Curves
An Undergraduate Introduction
- Author: C. G. Gibson, University of Liverpool
- Date Published: November 1998
- availability: Available
- format: Paperback
- isbn: 9780521646413
Paperback
-
This is a genuine introduction to plane algebraic curves from a geometric viewpoint, designed as a first text for undergraduates in mathematics, or for postgraduate and research workers in the engineering and physical sciences. The book contains several hundred worked examples and exercises, making it suitable for adoption as a course text. From the lines and conics of elementary geometry the reader proceeds to general curves in the real affine plane, with excursions to more general fields to illustrate applications, such as number theory. By adding points at infinity the affine plane is extended to the projective plane, yielding a natural setting for curves and providing a flood of illumination into the underlying geometry. A minimal amount of algebra leads to the famous theorem of Bezout, whilst the ideas of linear systems are used to discuss the classical group structure on the cubic.
Read more- Based on a popular course given for many years
- Has applications in engineering and robotics
- Very well illustrated
Customer reviews
Not yet reviewed
Be the first to review
Review was not posted due to profanity
×Product details
- Date Published: November 1998
- format: Paperback
- isbn: 9780521646413
- length: 268 pages
- dimensions: 236 x 157 x 20 mm
- weight: 0.489kg
- contains: 75 b/w illus. 12 tables
- availability: Available
Table of Contents
List of illustrations
List of tables
Preface
1. Real algebraic curves
2. General ground fields
3. Polynomial algebra
4. Affine equivalence
5. Affine conics
6. Singularities of affine curves
7. Tangents to affine curves
8. Rational affine curves
9. Projective algebraic curves
10. Singularities of projective curves
11. Projective equivalence
12. Projective tangents
13. Flexes
14. Intersections of projective curves
15. Projective cubics
16. Linear systems
17. The group structure on a cubic
18. Rational projective curves
Index.
Sorry, this resource is locked
Please register or sign in to request access. If you are having problems accessing these resources please email lecturers@cambridge.org
Register Sign in» Proceed
You are now leaving the Cambridge University Press website. Your eBook purchase and download will be completed by our partner www.ebooks.com. Please see the permission section of the www.ebooks.com catalogue page for details of the print & copy limits on our eBooks.
Continue ×Are you sure you want to delete your account?
This cannot be undone.
Thank you for your feedback which will help us improve our service.
If you requested a response, we will make sure to get back to you shortly.
×