Skip to main content Accessibility help
×
Home

Intriguing integrals: an Euler-inspired odyssey

  • Nick Lord (a1)

Abstract

  • An abstract is not available for this content so a preview has been provided below. Please use the Get access link above for information on how to access this content.

Copyright

References

Hide All
1. Davis, P. J. Leonhard Euler’s integral: a historical profile of the gamma function, Amer. Math. Monthly 66 (1959) pp. 849869.
2. Chapman, Robin Evaluating ζ (2), http://secamlocal.ex.ac.uk/∼rjc/etc/zeta2.pdf.
3. Sandifer, Ed How Euler did it: Basel problem with integrals (March 2004) http://www.maa.org/news/howeulerdidit.html
4. Ayoub, R. Euler and the zeta function, Amer. Math. Monthly 81 (1974) pp. 10671086.
5. Spivak, M. Calculus, Addison-Wesley (1967) p. 325.
6. Adamchik, V. 33 representations for Catalan’s constant, http://www.cs.cmu.edu/∼adamchik/articles/catalan/catalan.htm
7. Weil, A. Number theory: an approach through history, Birkhäuser (1984), Chapter III: Euler.
8. Pólya, G. and Szegö, G. Problems and theorems in analysis I, Springer (1972) p. 51, pp. 235–236.
9. Scott, J. A. The Euler constant Υ without logarithms, Math. Gaz. (November 1996) pp. 585586.
10. Bromwich, T. J. I’ A. An introduction to the theory of infinite series (2nd edn.), MacMillan (1959).
11. Hardy, G. H. An introduction to the theory of numbers, Bull. Amer. Math. Soc. 35 (1929) pp. 778818.
12. Maor, E. e: the story of a number, Princeton University Press (1994).
13. Havil, J. Gamma: exploring Euler’s constant, Princeton University Press (2003).
14. Dunham, W. The calculus gallery, Princeton University Press (2005) p. 54.
15. Klambauer, G. Problems and propositions in analysis, Marcel Dekker (1979) pp. 382384.
16. Nahin, P. J. Dr. Euler’s fabulous formula, Princeton University Press (2006) pp. 163173.
17. Lord, N. An amusing sequence of trigonometrical integrals, Math. Gaz. 91 (July 2007) pp. 281285.
18. Jameson, T. The probability integral by volume of revolution, Math. Gaz. 78 (November 1994) pp. 339340.
19. Gray, A. Tubes, Addison-Wesley (1990) pp. 253255.
20. Boros, G. and Moll, V. H. Irresistible integrals, Cambridge University Press (2004).

Intriguing integrals: an Euler-inspired odyssey

  • Nick Lord (a1)

Metrics

Full text views

Total number of HTML views: 0
Total number of PDF views: 0 *
Loading metrics...

Abstract views

Total abstract views: 0 *
Loading metrics...

* Views captured on Cambridge Core between <date>. This data will be updated every 24 hours.

Usage data cannot currently be displayed