e^x AppreciationDate: 7/9/96 at 9:26:21 From: Anonymous Subject: e^x Appreciation Dear Dr. Math, I appreciate the function e^x very much. What is the history of e^x? What do you think of it? Thanks, SVP in Hong Kong. Date: 7/15/96 at 21:37:35 From: Doctor Sydney Subject: Re: e^x Appreciation Dear SVP, I'm glad you like the function e^x so much! e is just one of many cool things in math. To me, it is remarkable how often it pops up. The number has aesthetic value in its definition and associated properties: The definition of e is the limit as n approaches 0 of (1 + n)^1/n and one nice, unique property of the function e^x is that the derivative of the function e^x is the function e^x. In addition, e comes in handy in many real life problems, like problems dealing with investment and banking. More exciting, there is an e home page! Check this out: http://www.missouri.edu/~c639692/exp/ From this page you can go to lots of other pages that all relate to e. Being an enthusiast of the function e^x, you would especially enjoy the following link: http://pauillac.inria.fr/algo/bsolve/constant/e/e.html You can get to this second link from the first, but in case you want to go there directly, I include the second URL. These two links have lots of interesting stuff in them about e and the function e^x, so I hope you enjoy them! Good luck. -Doctor Sydney, The Math Forum Check out our web site! http://mathforum.org/dr.math/ |
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