Elementary Geometry of Differentiable Curves - C.G. Gibson - Cambridge Hardcover

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“Publisher: Cambridge University PressYear: 2001ISBN: 0521804531Description: Hardcover without dust ”... Read moreabout condition
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Item specifics

Condition
Like New
A book in excellent condition. Cover is shiny and undamaged, and the dust jacket is included for hard covers. No missing or damaged pages, no creases or tears, and no underlining/highlighting of text or writing in the margins. May be very minimal identifying marks on the inside cover. Very minimal wear and tear. See all condition definitionsopens in a new window or tab
Seller Notes
“Publisher: Cambridge University PressYear: 2001ISBN: 0521804531Description: Hardcover without dust ...
ISBN
9780521804530
Category

About this product

Product Identifiers

Publisher
Cambridge University Press
ISBN-10
0521804531
ISBN-13
9780521804530
eBay Product ID (ePID)
1927527

Product Key Features

Number of Pages
238 Pages
Publication Name
Elementary Geometry of Differentiable Curves : an Undergraduate Introduction
Language
English
Publication Year
2001
Subject
Geometry / Differential, Topology, Geometry / Algebraic
Type
Textbook
Author
C. G. Gibson
Subject Area
Mathematics
Format
Hardcover

Dimensions

Item Height
0.7 in
Item Weight
17.3 Oz
Item Length
9.3 in
Item Width
6.2 in

Additional Product Features

Intended Audience
College Audience
LCCN
2002-276146
Dewey Edition
21
Reviews
'It is meant to be a genuine introduction to the differential geometry of plane curves and in fact it is … I can warmly recommend this booklet for students and scientists who have not yet gathered experience in differential geometry and who want to give themselves a treat.' J. Lang, IMN (Internationale Mathematische Nachrichten), "This book is pleasant for a student...It contains many interesting properties and features of curves which usually are not shown in a regular undergraduate course." Mathematical Reviews, 'It is meant to be a genuine introduction to the differential geometry of plane curves and in fact it is ... I can warmly recommend this booklet for students and scientists who have not yet gathered experience in differential geometry and who want to give themselves a treat.' J. Lang, IMN (Internationale Mathematische Nachrichten)
Illustrated
Yes
Dewey Decimal
516.3/6
Table Of Content
1. The Euclidean plane; 2. Parametrized curves; 3. Classes of special curves; 4. Arc length; 5. Curvature; 6. Existence and uniqueness; 7. Contact with lines; 8. Contact with circles; 9. Vertices; 10. Envelopes; 11. Orthotomics; 12. Caustics by reflexion; 13. Planar kinematics; 14. Centrodes; 15. Geometry of trajectories.
Synopsis
This genuine introduction to the differential geometry of plane curves is designed as an adoptable course text for undergraduates in mathematics, or postgraduates and researchers in the engineering and physical sciences. It assumes only foundational year mathematics, and is well illustrated with several hundred worked examples and exercises., Here is a genuine introduction to the differential geometry of plane curves for undergraduates in mathematics, or postgraduates and researchers in the engineering and physical sciences. This well-illustrated text contains several hundred worked examples and exercises, making it suitable for adoption as a course text. Key concepts are illustrated by named curves, of historical and scientific significance, leading to the central idea of curvature. The author introduces the core material of classical kinematics, developing the geometry of trajectories via the ideas of roulettes and centrodes, and culminating in the inflexion circle and cubic of stationary curvature., This genuine introduction to the differential geometry of plane curves is designed as a first text for undergraduates in mathematics, or postgraduates and researchers in the engineering and physical sciences. The book assumes only foundational year mathematics: it is well illustrated, and contains several hundred worked examples and exercises, making it suitable for adoption as a course text. The basic concepts are illustrated by named curves, of historical and scientific significance, leading to the central idea of curvature. The singular viewpoint is represented by a study of contact with lines and circles, illuminating the ideas of cusp, inflexion and vertex. There are two major physical applications. Caustics are discussed via the central concepts of evolute and orthotomic. The final chapters introduce the core material of classical kinematics, developing the geometry of trajectories via the ideas of roulettes and centrodes, and culminating in the inflexion circle and cubic of stationary curvature.
LC Classification Number
QA643 .G53 2001

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