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References

  1. R.P. Boas, Partial Sums of Infinite Series and How They Grow, American Mathematical Monthly, 84 (1977) 237-258.
  2. Boo Rim Choe, An Elementary Proof of $\sum_{n=1}^{\infty}1/n^2 =
\pi^2/6$, American Mathematical Monthly, Vol. 94, No. 7, Aug-Sept 1987, pp 262-263.
  3. G. Chrystal, Textbook of Algebra, Volume 2, Chelsea Publishing (Now published by American Mathematical Society), 1964 (originally published in 1889).
  4. William Dunham, Euler, The Master of Us All, Mathematical Association of America, 1999.
  5. G. H. Hardy and E. M. Wright, An Introduction to Number Theory, Clarendon Press, 1954
  6. Ross Honsberger, Mathematical Ingenuity, Mathematical Association of America, 1970.
  7. Ross Honsberger, Mathematical Gems II, Mathematical Association of America, 1976.
  8. Ross Honsberger, editor, Mathematical Plums, Mathematical Association of America, 1979.
  9. Dan Kalman, Six Ways to Sum a Series, The College Mathematics Journal, Vol. 24, No. 5 , November 1993.
  10. Morris Kline, Euler and Infinite Series, Mathematics Mathematics, Vol. 56, No. 5, November 1983. (The entire issue is dedicated to the memory of Euler on the 200th anniversary of his death.)
  11. Frank Kost, A Geometric Proof of the Formula for ln 2, Mathematics Magazine, Vol. 44, No. 1, January 1971.
  12. Konrad Knopp, Theory and Application of Infinite Series, Dover Publications, 1990.
  13. Roger Nelson, Proofs Without Words, Mathematical Association of America, 1993.
  14. Ivan Niven, A Proof of the Divergence of $\sum 1/p$, American Mathematical Monthly, Vol. 78, No. 3, March 1971, 272-273.
  15. G. Polya, Mathematics and Plausible Reasoning, Volume 1, Princeton University Press, 1954.
  16. Arthur C. Segal, Closed Formulas for Quasi-Geometric Series, Two Year College Mathematics Journal, Vol. 14, No. 2, March 1983.
  17. Francis Scheid, Schaum's Outline Series, Numerical Analysis, McGraw-Hill Inc., 1968.

  18. Robert M. Young, Excursions in Calculus, Mathematical Association of America, 1992.
  19. Paul Zeitz, The Art and Craft of Problem Solving, John Wiley & Sons, Inc., 1999.

If you have comments, questions or find glaring errors, please contact me by e-mail at the following address: trike@ousd.k12.ca.us


next up previous
Next: About this document ... Up: Infinite Series Previous: -Series and the Exact
Zvezdelina Stankova-Frenkel 2002-03-24