Here's Looking at Euclid: A Surprising Excursion Through the - download pdf or read online

By Alex Bellos

ISBN-10: 1416596348

ISBN-13: 9781416596349

Too usually math will get a nasty rap, characterised as dry and tough. yet, Alex Bellos says, "math should be inspiring and brilliantly inventive. Mathematical idea is among the nice achievements of the human race, and arguably the root of all human development. the area of arithmetic is a extraordinary place."Bellos has traveled all over the globe and has plunged into historical past to discover attention-grabbing tales of mathematical success, from the breakthroughs of Euclid, the best mathematician of all time, to the creations of the Zen grasp of origami, one of many most well-liked components of mathematical paintings this present day. Taking us into the wilds of the Amazon, he tells the tale of a tribe there who can count number in basic terms to 5 and reviews at the most up-to-date findings concerning the math instinct--including the revelation that ants can really count number what number steps they've taken. travelling to the Bay of Bengal, he interviews a Hindu sage concerning the incredible mathematical insights of the Buddha, whereas in Japan he visits the godfather of Sudoku and introduces the brainteasing delights of mathematical games.Exploring the mysteries of randomness, he explains why it's very unlikely for our iPods to really randomly choose songs. In probing the various intrigues of that the majority liked of numbers, pi, he visits with brothers so enthusiastic about the elusive quantity that they outfitted a supercomputer of their new york condo to check it. all through, the adventure is stronger with a wealth of interesting illustrations, akin to of the smart puzzles referred to as tangrams and the crochet construction of an American math professor who unexpectedly learned someday that she may perhaps knit a illustration of upper dimensional house that nobody have been capable of visualize.

Whether writing approximately how algebra solved Swedish site visitors difficulties, vacationing the psychological Calculation global Cup to reveal the secrets and techniques of lightning calculation, or exploring the hyperlinks among pineapples and gorgeous tooth, Bellos is a superbly attractive advisor who by no means fails to please whilst he edifies. Here's Euclid is an extraordinary gem that brings the wonderful thing about math to lifestyles.

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Extra info for Here's Looking at Euclid: A Surprising Excursion Through the Astonishing World of Math

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A brief description of the terminology that will be used in the remainder of this book is also necessary. The intent of this chapter is to introduce the mathematical concepts that underlie the Monte Carlo method and provide a basis for further development of selected topics. To obtain a broader and more rigorous development of the underlying mathematical concepts than is presented here the interested reader may consult any of a number of standard textbooks and references on statistics and probability.!

The sampling of events uses the following information: • The sample space from which a particular event or sample is to be selected, • The value of the random variables associated with every event in the sample space (this is required so that the Monte Carlo model can deal with real numbers), • The cumulative distribution and/or the pdf for the random variables involved in the problem, and • A method of obtaining a sequence of random numbers. These four elements are used in a Monte Carlo calculation in the following manner: • One or more random numbers are selected.

In order to calculate the statistical uncertainty in estimates of random variables, a few rules regarding the sums and products of variances and standard deviations are needed. 1 Stratified Sampling One effective technique for reducing the variance of a Monte Carlo estimate of a random variable is stratified sampling. With this technique the range over which the independent variable is sampled is divided into strata, and each stratum is sampled separately. 30. We wish to select subranges of the independent variable x to serve as strata for a demonstration of stratified sampling.

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Here's Looking at Euclid: A Surprising Excursion Through the Astonishing World of Math by Alex Bellos

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