Buy e: The Story of a Number (Princeton Science Library) on ✓ FREE SHIPPING on qualified orders. e has ratings and 87 reviews. Tara said: e: The Story of a Number certainly lives up to its title!The book begins with an introduction to logarit. In this informal and engaging history, Eli Maor portrays the curious characters and the elegant mathematics that lie behind the number.
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For example the MacTuror biography of Briggs and other sources too tells us that he died 26 Januarywhile Maor mentionswhich could have been corrected. Sounds daunting, but one can think of this number as a basis for measuring rate of change in many processes involving so called exponential growth the rate o Eli Maor wrote quite a few books about the history of Mathematics.
Jacob was particularly fond of the logarithmic spiral spira mirabilis and he had it carved on aa tomb. And even though ‘e’s use can be found in diverse places–“the interest earned in a bank account, the arrangement of seeds in a sunflower, and the shape of the Gateway Arch in St.
e: The Story of a Number [Book]
Eye and Brain Richard L. It’s actually pretty good. It seems to me that this material ought by rights to have been presented in the beginning of the goddamn book! It felt very rambly. It is of course the original publication and this means that no updates are done, no additional comments or recent references are added.
Not a textbook, so don’t read this to learn those subjects, only to glance at them.
Bach and Johann Bernoulli. Once the exponential and logarithmic functions are known, they show up in all kinds of applications like solutions of differential equations, music scales, spirals, catenary and other curves, hyperbolic functions, and of course the most magic formula showing mair family picture of the most famous actors of our number system: Two Properties of the Logarithmic SpiralApp.
Bach and Johann Bernoulli, the logarithmic spiral in nature stort art, Calculus was required to explain and understand it, which brought the Bernoullis, Leibnitz, Newton, Euler and a lot of other scientific geniuses to tackle it. The present work fills this gap. The area in question is expressed by the logarithmic function with base e, or the natural log.
But all that aside, I can’t stay angry for long. A slightly more rigorous proof is fortunately elk in the appendices, which, among other things, also offer a gorgeous proof of the irrationality of e. But the proper machinery to compute this integral as an anti-derivative was only provided by Newton and Leibniz.
Life on a Young Planet Andrew H. Apr 12, Ari rated it did not like it Shelves: The Meaning of Relativity Albert Einstein. An Imaginary Tale Paul J. For instance, the last chapter looked at different types of numbers integers, rational versus irrational numbers, and algebraic versus transcendental numbers. Maor’s account of the place of e, the base of the natural logarithms, in the history of mathematics provides a peek inside a mathematician’s brain.
Now we investigate the natural log function, or the inverse of the exponential function.
Rucker, but also J. I love this concise history of one of Mathematics’ most interesting numbers.
e: The Story of a Number
Product details Format Paperback pages Dimensions x x Feb 25, Tim rated it really liked it. Designed for a reader with only a modest background in mathematics, this biography of e brings out that number’s central importance in mathematics and illuminates a golden era in the age of science.
As is customary with any history of science or math of that time, Maor provides the reader with an obligatory look into the infamous conflict between Newton and Leibniz. Maor even discusses complex functions and complex calculus of course including the complex exponential and logarithm. While I don’t think that one has to be fully conversant in calculus to enjoy this book, some awareness of math may be necessary to fully grasp everything that Maor offers.
Perhaps the hyperbolic functions were explained that way to me when I learned about them at school, but the exposition here was definitely illuminating. Geared to the reader with only a modest background in mathematics, the book d The story of [pi] has been told many times, both in scholarly works and in popular books.
It is not a really light read, but eil is easy enough for anyone who has studied calculus to understand. Refresh and try again.
Review: e: The Story of a Number | EMS
My library Help Advanced Book Search. Although a lot of stuff in the book was over my head and I steadily refused the urge to read the Appendices, I still think this book is a good work of mathematical history. Trigonometric Delights Nuumber Maor. Jul 23, Mugizi Rwebangira rated it really liked it.
It is of course directly connected to the logarithm and the exponential function and to many other topics in mathematics too. The majority of academy in England claimed it was Newton and that Leibniz has stollen his ideas after seeing some of the Newton’s papers. Book Description The interest earned on a bank account, the arrangement of seeds in a sunflower, and the shape of the Gateway Arch in St. To illustrate, I will just mention here one episode: Nov 26, Ben Pace rated it it was ok Shelves: Four Colors Suffice Robin Wilson.