New horizons in geometry / Tom M. Apostol, California Institute of Technology, and Mamikon A. Mnatsakanian, California Institute of Technology.

Format:

Book

Author/Creator:

Apostol, Tom M., author.

Mnatsakanian, Mamikon A., author, illustrator.

Series:

Dolciani mathematical expositions ; no. 47.

Dolciani Mathematical Expositions, v. 47

Language:

English

Subjects (All):

Geometry.

Calculus.

Physical Description:

1 online resource (xiv, 513 pages : color illustrations)

Distribution:

Mathematical Association of America

Manufacture:

South Korea ; Pasadena, CA : Charles Allen Imaging Experts

Place of Publication:

Washington, D.C. : Mathematical Association of America, [2012]

System Details:

Mode of access : World Wide Web

Summary:

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

Contents:

Preface Introduction Foreword Chapter 1. Mamikon's Sweeping-Tangent Theorem Chapter 2. Cycloids and Trochoids Chapter 3. Cyclogons and Trochogons Chapter 4. Circumgons and Circumsolids Chapter 5. The Method of Punctured Containers Chapter 6. Unwrapping Curves from Cylinders and Cones Chapter 7. New Descriptions of Conics via Twisted Cylinders, Focal Disks, and Directors Chapter 8. Ellipse to Hyperbola: "With This String I Thee Wed" Chapter 9. Trammels Chapter 10. Isoperimetric and Isoparametric Problems Chapter 11. Arclength and Tanvolutes Chapter 12. Centroids Chapter 13. New Balancing Principles with Applications Chapter 14. Sums of Squares Chapter 15. Appendix Bibliography About the Authors

Notes:

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

Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2013

Description based on print version record.

Other Format:

Print version: Apostol, Tom M., New horizons in geometry /

ISBN:

9781470443368 (online)

Access Restriction:

Restricted for use by site license.