The Elementary Differential Geometry of Plane Curves
Language: English
Published by Dover, 2005
- Hardcover
- New
Condition: New
£ 27.28
Quantity: 1 available
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105 pages. new.
Seller Inventory # 1124
- Title
- The Elementary Differential Geometry of Plane Curves
- Author
- Fowler, R. H.
- Publisher
- Dover
- Publication year
- 2005
- Condition
- New
- Binding
- Hardcover
- Language
- English
- ISBN 10
- 0486442772
- ISBN 13
- 9780486442778
- Item weight
- 317.515 grams
- Dimensions
- 15.24 centimeters width by 23.5 centimeters height by 1.91 centimeters depth
After a brief introduction, the text examines the elementary properties of tangents and normals, the curvature of plane curves, and the theories of contact and of envelopes. Additional topics include singular points of plane curves and asymptotes of plane curves. This treatment pursues the greatest generality in its enunciation of theorems; its primary consideration is the determination of the necessary and sufficient conditions for the truth of any theorem. In the proofs of the elementary theorems, where this procedure is adopted, the text is somewhat more laborious than any rigorous treatment; however, this procedure provides a connection between analysis and more complicated geometrical theorems, in which insistence on precise conditions is inappropriate and suitable sufficient conditions can always be tacitly assumed.
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mathbooks
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