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Squigonometrythe study of imperfect circles /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Squigonometryby Robert D. Poodiack, William E. Wood.
其他題名:	the study of imperfect circles /
作者:	Poodiack, Robert D.
其他作者:	Wood, William E.
出版者:	Cham :Springer International Publishing :2022.
面頁冊數:	xix, 289 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
標題:	Trigonometrical functions.
電子資源:	https://doi.org/10.1007/978-3-031-13783-9
ISBN:	9783031137839$q(electronic bk.)

Squigonometrythe study of imperfect circles /
Poodiack, Robert D.

Squigonometrythe study of imperfect circles /[electronic resource] :by Robert D. Poodiack, William E. Wood. - Cham :Springer International Publishing :2022. - xix, 289 p. :ill., digital ;24 cm. - SUMS readings,2730-5821. - SUMS readings..

1. Introduction -- 2. Imperfection -- 3. A Squigonometry Introduction -- 4. p-metrics -- 5. Inverse squigonometric functions -- 6. The many values of Pi -- 7. Parametrizations -- 8. Arclength Parametrization -- 9. Integrating Squigonometric Functions -- 10. Three applications -- 11. Infinite series -- 12. Series and rational approximations -- 13. Alternate Coordinates -- 14. Hyperbolic Functions -- 15. Exponentials and Logarithms -- 16. Elliptic Integrals -- 17. Lemniscates and Ellipses -- 18. Geometry in the p-norm -- 19. Duality -- 20. Analytic Parametrizations -- A. Curve Menagerie -- B. Formulas and Integrals -- C. Parametrization Primer -- D. Proofs of Formulas and Theorems -- E. Alternate Pi Days -- F. Selected Exercise Hints and Solutions.

ISBN: 9783031137839$q(electronic bk.)

Standard No.: 10.1007/978-3-031-13783-9doiSubjects--Topical Terms:

511755
Trigonometrical functions.

LC Class. No.: QA342

Dewey Class. No.: 515.5

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505 0 $a 1. Introduction -- 2. Imperfection -- 3. A Squigonometry Introduction -- 4. p-metrics -- 5. Inverse squigonometric functions -- 6. The many values of Pi -- 7. Parametrizations -- 8. Arclength Parametrization -- 9. Integrating Squigonometric Functions -- 10. Three applications -- 11. Infinite series -- 12. Series and rational approximations -- 13. Alternate Coordinates -- 14. Hyperbolic Functions -- 15. Exponentials and Logarithms -- 16. Elliptic Integrals -- 17. Lemniscates and Ellipses -- 18. Geometry in the p-norm -- 19. Duality -- 20. Analytic Parametrizations -- A. Curve Menagerie -- B. Formulas and Integrals -- C. Parametrization Primer -- D. Proofs of Formulas and Theorems -- E. Alternate Pi Days -- F. Selected Exercise Hints and Solutions.
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