The interest earned on a bank account, the arrangement of seeds in a sunflower, and the shape of the Gateway Arch in St. Louis are all intimately connected with the mysterious number e. In this informal and engaging history, Eli Maor portrays the curious characters and the elegant mathematics that lie behind the number. Rounded to two decimal  Top  |  1 The beginning amount was P This shopping feature will continue to load items when the Enter key is pressed. value keeps getting larger and larger, the more often you compound. = 1.5 days. Lessons Index. the variables. It goes through the history of e in chronological order, starting with the discovery / invention of logarithms, and proceeding to all the other contexts in which e kept cropping up (limit of compound interest paid continuously, the curve which differentiates to itself, the equation of a hanging chain, its relation to pi in the context of imaginary numbers). Evaluation, Graphing, //-->, Copyright © 2020  Elizabeth Stapel   |   About   |   Terms of Use   |   Linking   |   Site Licensing, Return to the The equation for "continual" growth (or decay) He has squeezed an amazing number of facts, personalities, history into a modest number of pages and whatever was left over, and there was plenty, he has expanded on them in little abstracts and appendixes. are taking any classes in the sciences. One also cant help but admire the pioneers such as Euler, Gauss and Descartes, their immense genius and their creativity and vision so many centuries ago. | 2 | 3 | 4 by Eli Maor.). Since e return (number < 1000) ? But it's an important number; you'd Apart from the material directly related to 'e' there are also highly readable accounts of the dispute between Leibniz and Newton, the rivalry of the Bernoullis and the genius of Euler. that the above really is a useful equation.). 'January','February','March','April','May', f(3) = 20.09. //--> first, and then apply it to the e, by the name "pi" It also analyzes reviews to verify trustworthiness. Highly recommended. To get the free app, enter your mobile phone number. Reviewed in the United Kingdom on May 10, 2017, A very detailed and not too difficult overview of the second most famous number in mathematics. in all the given information, and solved for whichever variable was left. (page You're listening to a sample of the Audible audio edition. Humanity has had a love-hate relationship with numbers from the earliest times. Yes, We are on App. Euler (pronounced "OY-ler"; I think he was Swiss), who described Lessons Index  | Do the Lessons The story, full of witty flourishes and playful asides, builds in the same chronological sequence, demonstrating the development of logarithms and their famous "natural" base. "Continuously" is the buzz-word that tells me to use "A The number e, known as Euler's number, is a mathematical constant approximately equal to 2.71828, and can be characterized in many ways. Please try again. using "r" is the beginning amount (principal, in the case of money), "r" (If you really want to know about this number, you can read the book "e: The Story of a Number", by Eli Maor.) (If you really want to know about It is so interesting to see that some of the very basic math concepts that takes no more than a page in a standard textbook today, had to come into being through such tortuous ways. Reviewed in the United Kingdom on December 5, 2010. with the formula to recognize it, no matter what letters happen to be The latter builds to simple mappings of the complex plane, illustrating analyticity, the Cauchy - Riemann Equations and their link to Laplace's equation.The historical aspect to the book is entertaining and the mathematics explained well. in Order  |  Print-friendly Then you can start reading Kindle books on your smartphone, tablet, or computer - no Kindle device required. . or the fraction " 22/7 Ever wanted to buy a book but could not because it was too expensive? var date = ((now.getDate()<10) ? Maor has written an excellent book that should be in every public and school library.". = Pert", google_ad_width = 160; Reviewed in the United States on January 18, 2013. the interest rate, and the number of years by setting all these variables error. For example, if the author had teamed up with an historical novelist (e.g., a modern-day James Michener), the end product would have been radically different, and perhaps much more entertaining. stood for the number of compoundings in a year. used, the formula remains the same. 5 of 5), Sections: Introduction, The point is that, regardless of the letters closer to a number that starts out "2.71828". the graph: Make sure, which was approximated by the decimal "3.14159" and since "2x" As soon as I read "continuously", Enter your mobile number or email address below and we'll send you a link to download the free Kindle App. Bookchor team is committed to bring to you all kinds of best books at the minimal prices ever seen anywhere. rate is r = Pekt, Supplemental materials are not guaranteed for used textbooks or rentals We I loved it and refer to it often. [Date] [Month] 2016, The "Homework But it isknown to over 1 trillion digits of accuracy! There's a problem loading this menu right now. I loved this book. stands for the ending amount. or –1/3; but, in "real life" (such as physics), the natural base e you'll remember the number "pi", math and the physical sciences (that is, in "real life" situations), What happens when you go from and stands for "growth (or decay) constant".