Riemann and Euler Sum Investigation in an Introductory Calculus Class

References

[1] M. Rosenlicht, “Introduction to Analysis,” Dover Publications, Inc., New York, 1968.

[2] J. Bernoulli, “Ars conjectandi,” 1713, Internet Historical Document Archive. http://www.archive.org

[3] J. Stewart, “Single Variable Calculus,” 5th Edition, Tho- mson, Belmont, 2003.

[4] I. N. Bronshtein and K. A. Semendyayev, “Handbook of Mathematics,” Van Nostrand Reinhold Company, New York, 1979.

[5] G. Williams, “Linear Algebra with Applications,” Jones and Bartlett Publishers, Boston, 2001.

[6] M. T. Heath, “Scientific Computing—An Introductory Survey,” McGraw Hill, Boston, 2002.

[7] D. J. Struik, “A Source Book in Mathematics, 1200- 1800,” Harvard University Press, Cambridge, 1969.

[8] L. Lovász, J. Pelikán and K. Vesztergombi, “Discrete Mathematics, Elementary and Beyond,” Springer-Verlag, New York, 2003.