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New horizons in geometry / Tom M. Apostol and Mamikon A. Mnatsakanian.

By: Contributor(s): Material type: TextTextSeries: Dolciani Mathematical Expositions ; no. 47Publication details: Washington, D.C. : Mathematical Association of America, 2012.Description: xiv, 513 pages : color illustrations ; 27 cmISBN:
  • 9780883853542 (hbk.)
  • 088385354X (hdbk.)
Subject(s): DDC classification:
  • 516 23 Ap645
Contents:
1. Mamikon's sweeping - tangent theorem -- 2. Cycloids and trochoids -- 3. Cyclogons and trochogons -- 4. Circumgons and circumsolids -- 5. The method of punctured containers -- 6. Unwrapping curves from cylinders and cones -- 7. New descriptions of conics via twisted cylinders, focal disks, and directors -- 8. Ellipse to hyperbola: "with this string I thee wed" -- 9. Trammels -- 10. Isoperimetric and isoparametric problems -- 11. Arclength and tanvolutes -- 12. Centroids -- 13. New balancing principles with applications -- 14. Sums of squares-- 15. Appendix-- Bibliography-- Index-- About the authors.
Summary: Calculus problems solved by elementary geometrical methods --- P. 4 of cover.
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Holdings
Item type Current library Call number Status Date due Barcode Item holds
Books ISI Library, Kolkata 516 Ap645 (Browse shelf(Opens below)) Available 135597
Total holds: 0

Includes bibliographical references (pages 501-504) and index.

1. Mamikon's sweeping - tangent theorem --
2. Cycloids and trochoids --
3. Cyclogons and trochogons --
4. Circumgons and circumsolids --
5. The method of punctured containers --
6. Unwrapping curves from cylinders and cones --
7. New descriptions of conics via twisted cylinders, focal disks, and directors --
8. Ellipse to hyperbola: "with this string I thee wed" --
9. Trammels --
10. Isoperimetric and isoparametric problems --
11. Arclength and tanvolutes --
12. Centroids --
13. New balancing principles with applications --
14. Sums of squares--
15. Appendix--

Bibliography--
Index--
About the authors.

Calculus problems solved by elementary geometrical methods --- P. 4 of cover.

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