An elementary view of Euler's summation formula

American Mathematical Monthly

Volumn 106, Issue 5, 1999, Pages 409-418

  Apostol, Tom M ^a  

^a CALIFORNIA INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033449753     PISSN: 00029890     EISSN: None     Source Type: Journal    
DOI: 10.2307/2589145     Document Type: Review

References (11)

1. Tom M. Apostol, Introduction to Analytic Number Theory. Springer-Verlag, New York, 1976.
2. Tom M. Apostol, Mathematical Analysis, Second edition. Addison-Wesley, Reading, Mass., 1974.
3. L. Euler, Methodus universalis serierum convergentium summas quam proxime inveniendi, Commentarii academie scientiarum Petropolitanae, Vol. 8 (1736), pp. 3-9; Opera Omnia, Vol. XIV, pp. 101-107.
4. L. Euler, Methodus universalis serierum convergentium summas quam proxime inveniendi, Commentarii academie scientiarum Petropolitanae, Vol. 8 (1736), pp. 3-9; Opera Omnia, Vol. XIV, pp. 101-107.
5. L. Euler, Methodus universalis series summandi ulterius promota, Commentarii academie scientiarum Petropolitanae, Vol. 8 (1736), pp. 147-158; Opera Omnia, Vol. XIV, pp. 124-137.
6. L. Euler, Methodus universalis series summandi ulterius promota, Commentarii academie scientiarum Petropolitanae, Vol. 8 (1736), pp. 147-158; Opera Omnia, Vol. XIV, pp. 124-137.
7. E. Hairer and G. Wanner, Analysis by Its History. Springer-Verlag, New York, 1996.
8. K. Knopp, Theory and Application of Infinite Series, R. C. Young, translator. Hafner, New York, 1951.
9. D. E. Knuth, Euler's constant to 1271 places, Math. of Computation, v. 16 (1962), pp. 275-281.
10. D. H. Lehmer, On the maxima and mixima of Bernoulli polynomials, Amer. Math. Monthly, v. 47 (1940), pp. 533-538.
11. Colin Maclaurin, A Treatise of Fluxions. Edinburgh, 1742.