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'''References''' <br /> | '''References''' <br /> | ||
| + | *Bradley, R., & Sandifer, C. (2007). Leonhard Euler life, work and legacy (Studies in the history and philosophy of mathematics ; v.5). Amsterdam ; Oxford: Elsevier.<br /> | ||
| + | *Cadwallader, C. (n.d.). Euler's Formula. Retrieved December 2, 2018, from https://www.projectrhea.org/rhea/index.php/HW1.3_Chris_Cadwallader_-_Eulers_forumla_ECE301Fall2008mboutin<br /> | ||
*Dickau, R. M. (n.d.). Derangement diagrams [Digital image]. Retrieved December 1, 2018, from http://mathforum.org/advanced/robertd/derangements.html<br/> | *Dickau, R. M. (n.d.). Derangement diagrams [Digital image]. Retrieved December 1, 2018, from http://mathforum.org/advanced/robertd/derangements.html<br/> | ||
| + | *Haran, B. [Numberphile]. (2016, December 19). ''e (Euler's Number) - Numberphile'' [Video File]. Retrieved from https://youtu.be/AuA2EAgAegE <br /> | ||
*Interest Accumulation and Time Value of Money. (n.d.). In ''Financial Mathematics for Actuaries''. Retrieved from http://mysmu.edu/faculty/yktse/FMA/S_FMA_1.pdf <br /> | *Interest Accumulation and Time Value of Money. (n.d.). In ''Financial Mathematics for Actuaries''. Retrieved from http://mysmu.edu/faculty/yktse/FMA/S_FMA_1.pdf <br /> | ||
| − | * | + | *Lee, D. (2011, December 8). On The Most Beautiful Equation. Retrieved December 2, 2018, from https://www.projectrhea.org/rhea/index.php/On_The_Most_Beautiful_Equation<br /> |
| − | * | + | *Leonard Euler. (1998). In Encyclopedia of World Biography. Detroit, MI: Gale. Retrieved from http://link.galegroup.com/apps/doc/K1631002086/BIC?u=purdue_main&sid=BIC&xid=f53da831<br /> |
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*Maor, E. (1994). ''E: The Story of a Number.'' Princeton, NJ: Princeton University Press. Retrieved from http://webwork.utleon.edu.mx/Paginas/Libros/E%20-%20The%20Story%20of%20a%20Number.pdf <br /> | *Maor, E. (1994). ''E: The Story of a Number.'' Princeton, NJ: Princeton University Press. Retrieved from http://webwork.utleon.edu.mx/Paginas/Libros/E%20-%20The%20Story%20of%20a%20Number.pdf <br /> | ||
*O'Connor, J. J., & Robertson, E. F. (2001, September). The number e. Retrieved from http://www-history.mcs.st-and.ac.uk/HistTopics/e.html <br /> | *O'Connor, J. J., & Robertson, E. F. (2001, September). The number e. Retrieved from http://www-history.mcs.st-and.ac.uk/HistTopics/e.html <br /> | ||
| − | *Sandifer, E. (2006, February). How Euler Did It. Retrieved from http://eulerarchive.maa.org/hedi/HEDI-2006-02.pdf | + | *Probability mass function for the binomial distribution [Digital image]. (2008, March 2). Retrieved December 1, 2018, from https://en.wikipedia.org/wiki/Binomial_distribution#/media/File:Binomial_distribution_pmf.svg<br /> |
| − | *Spivey, M. (2014, June 20). A Nice Proof of the Derangements Formula. Retrieved December 1, 2018, from https://mikespivey.wordpress.com/2011/11/22/derangements/ | + | *Saff, E. B., & Snider, A. D. (2003). Fundamentals of Complex Analysis with Application to Engineering and Science (3rd ed.). Upper Saddle River, New Jersey: Pearson.<br /> |
| + | *Sandifer, E. (2006, February). How Euler Did It. Retrieved from http://eulerarchive.maa.org/hedi/HEDI-2006-02.pdf<br /> | ||
| + | *Spivey, M. (2014, June 20). A Nice Proof of the Derangements Formula. Retrieved December 1, 2018, from https://mikespivey.wordpress.com/2011/11/22/derangements/<br /> | ||
*Sýkora, S. (2008, March 31). Mathematical Constants and Sequences. In ''Mathematical Constants and Sequences''. Retrieved from http://www.ebyte.it/library/educards/constants/MathConstants.html <br /> | *Sýkora, S. (2008, March 31). Mathematical Constants and Sequences. In ''Mathematical Constants and Sequences''. Retrieved from http://www.ebyte.it/library/educards/constants/MathConstants.html <br /> | ||
| − | *Weisstein, E. W. (n.d.). Binomial Distribution. MathWorld--A Wolfram Web Resource. Retrieved December 1, 2018, from http://mathworld.wolfram.com/BinomialDistribution.html | + | *The Rule of 72. (n.d.). In ''EE204: Business Management for Electrical Engineers and Computer Scientists''. Retrieved from http://web.stanford.edu/class/ee204/TheRuleof72.html <br /> |
| − | *Weisstein, E. W. (n.d.). Derangements. MathWorld--A Wolfram Web Resource. Retrieved December 1, 2018, from http://mathworld.wolfram.com/Derangement.html | + | *Weisstein, E. W. (n.d.). Binomial Distribution. MathWorld--A Wolfram Web Resource. Retrieved December 1, 2018, from http://mathworld.wolfram.com/BinomialDistribution.html<br /> |
| − | *Weisstein, E. W. (n.d.). Inclusion-Exclusion Principle. MathWorld--A Wolfram Web Resource. Retrieved December 1, 2018, from http://mathworld.wolfram.com/Inclusion-ExclusionPrinciple.html | + | *Weisstein, E. W. (n.d.). Derangements. MathWorld--A Wolfram Web Resource. Retrieved December 1, 2018, from http://mathworld.wolfram.com/Derangement.html<br /> |
| − | *Yuan, Q. (2012, November 10). Short cycles in random permutations. Retrieved December 1, 2018, from https://qchu.wordpress.com/2012/11/09/short-cycles-in-random-permutations/ | + | *Weisstein, E. W. (n.d.). Inclusion-Exclusion Principle. MathWorld--A Wolfram Web Resource. Retrieved December 1, 2018, from http://mathworld.wolfram.com/Inclusion-ExclusionPrinciple.html<br /> |
| − | + | *Yuan, Q. (2012, November 10). Short cycles in random permutations. Retrieved December 1, 2018, from https://qchu.wordpress.com/2012/11/09/short-cycles-in-random-permutations/<br /> | |
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| − | + | [[Walther_MA279_Fall2018_topic3|Back to Mysteries of the Number e]] | |
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Latest revision as of 23:52, 2 December 2018
References
- Bradley, R., & Sandifer, C. (2007). Leonhard Euler life, work and legacy (Studies in the history and philosophy of mathematics ; v.5). Amsterdam ; Oxford: Elsevier.
- Cadwallader, C. (n.d.). Euler's Formula. Retrieved December 2, 2018, from https://www.projectrhea.org/rhea/index.php/HW1.3_Chris_Cadwallader_-_Eulers_forumla_ECE301Fall2008mboutin
- Dickau, R. M. (n.d.). Derangement diagrams [Digital image]. Retrieved December 1, 2018, from http://mathforum.org/advanced/robertd/derangements.html
- Haran, B. [Numberphile]. (2016, December 19). e (Euler's Number) - Numberphile [Video File]. Retrieved from https://youtu.be/AuA2EAgAegE
- Interest Accumulation and Time Value of Money. (n.d.). In Financial Mathematics for Actuaries. Retrieved from http://mysmu.edu/faculty/yktse/FMA/S_FMA_1.pdf
- Lee, D. (2011, December 8). On The Most Beautiful Equation. Retrieved December 2, 2018, from https://www.projectrhea.org/rhea/index.php/On_The_Most_Beautiful_Equation
- Leonard Euler. (1998). In Encyclopedia of World Biography. Detroit, MI: Gale. Retrieved from http://link.galegroup.com/apps/doc/K1631002086/BIC?u=purdue_main&sid=BIC&xid=f53da831
- Maor, E. (1994). E: The Story of a Number. Princeton, NJ: Princeton University Press. Retrieved from http://webwork.utleon.edu.mx/Paginas/Libros/E%20-%20The%20Story%20of%20a%20Number.pdf
- O'Connor, J. J., & Robertson, E. F. (2001, September). The number e. Retrieved from http://www-history.mcs.st-and.ac.uk/HistTopics/e.html
- Probability mass function for the binomial distribution [Digital image]. (2008, March 2). Retrieved December 1, 2018, from https://en.wikipedia.org/wiki/Binomial_distribution#/media/File:Binomial_distribution_pmf.svg
- Saff, E. B., & Snider, A. D. (2003). Fundamentals of Complex Analysis with Application to Engineering and Science (3rd ed.). Upper Saddle River, New Jersey: Pearson.
- Sandifer, E. (2006, February). How Euler Did It. Retrieved from http://eulerarchive.maa.org/hedi/HEDI-2006-02.pdf
- Spivey, M. (2014, June 20). A Nice Proof of the Derangements Formula. Retrieved December 1, 2018, from https://mikespivey.wordpress.com/2011/11/22/derangements/
- Sýkora, S. (2008, March 31). Mathematical Constants and Sequences. In Mathematical Constants and Sequences. Retrieved from http://www.ebyte.it/library/educards/constants/MathConstants.html
- The Rule of 72. (n.d.). In EE204: Business Management for Electrical Engineers and Computer Scientists. Retrieved from http://web.stanford.edu/class/ee204/TheRuleof72.html
- Weisstein, E. W. (n.d.). Binomial Distribution. MathWorld--A Wolfram Web Resource. Retrieved December 1, 2018, from http://mathworld.wolfram.com/BinomialDistribution.html
- Weisstein, E. W. (n.d.). Derangements. MathWorld--A Wolfram Web Resource. Retrieved December 1, 2018, from http://mathworld.wolfram.com/Derangement.html
- Weisstein, E. W. (n.d.). Inclusion-Exclusion Principle. MathWorld--A Wolfram Web Resource. Retrieved December 1, 2018, from http://mathworld.wolfram.com/Inclusion-ExclusionPrinciple.html
- Yuan, Q. (2012, November 10). Short cycles in random permutations. Retrieved December 1, 2018, from https://qchu.wordpress.com/2012/11/09/short-cycles-in-random-permutations/
