New PDF release: The Call of the Primes: Surprising Patterns, Peculiar

By Owen O'Shea

ISBN-10: 1633881482

ISBN-13: 9781633881488

This sampler of wonderful mathematical diversions finds the splendor and amazing usefulness of arithmetic for readers who imagine they've got no flair for the topic. if you happen to like every type of video game in any respect, you’ll benefit from the outstanding mathematical puzzles and styles provided the following in common phrases that any layperson can comprehend. From magic squares and the mysterious characteristics of top numbers to Pythagorean triples, chance idea, the Fibonacci series, and extra, the writer exhibits that math could be enjoyable whereas having a few profound implications.

Such ubiquitous mathematical entities as pi and the Fibonacci numbers are stumbled on during the flora and fauna and also are the basis of our technological civilization. through exploring the interesting video games provided right here, you’ll come away with a better appreciation for the sweetness and significance of those and lots of extra math concepts.

this can be the appropriate e-book for those who have been grew to become off by means of math in class yet now as adults ask yourself what they might have neglected.

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Download e-book for iPad: The Call of the Primes: Surprising Patterns, Peculiar by Owen O'Shea

This sampler of interesting mathematical diversions finds the splendor and notable usefulness of arithmetic for readers who imagine they've got no flair for the topic. when you like all type of video game in any respect, you’ll benefit from the striking mathematical puzzles and styles awarded right here in straight forward phrases that any layperson can comprehend.

Additional info for The Call of the Primes: Surprising Patterns, Peculiar Puzzles, and Other Marvels of Mathematics

Example text

The number of primes less than 1,665 is 261. There are nine cells in the lo shu. Curiously, 261 equals 9 times the ninth odd prime. Also, 261 = 4 – 92 + 357 + 8 – 16. Magic squares of various orders often display beautiful patterns when lines are drawn connecting consecutive integers. 9 In 1984, Dr. Martin LaBar, a professor of science at Southern Wesleyan University, in Central, South Carolina, asked an apparently simple question: Does a magic square of order three exist that contains nine distinct square integers?

Pascal studied the problem. He knew that the probability of not rolling a six in one roll of a single die is 5/6. Consequently, the probability of not rolling a pair of sixes with four rolls of a single die must be 5/6 multiplied by 5/6 multiplied by 5/6 multiplied by 5/6. This is equivalent to (5/6)4, which in turn equals 625/1296. Therefore, the probability of not rolling a pair of sixes with four rolls of one die is (5/6)4. (In probability theory, an event that is certain to happen has a probability of 1/1, or 1.

The engraving is titled Melencolia I. 11 The constant of Dürer's square is 34. There are many beautiful properties in the square, but I will mention just a few. The numbers in each of the four quadrants sum to 34: 16, 3, 10, and 5; 2, 13, 8, and 11; 7, 12, 1, and 14; and 9, 6, 15, and 4. The sum of the numbers in the four corners, 16, 13, 4, and 1, sum to 34. The corner numbers in each of the four three-by-three grids within Dürer's square also sum to 34. The four numbers in the central square, 10, 11, 7, and 6, sum to 34.

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The Call of the Primes: Surprising Patterns, Peculiar Puzzles, and Other Marvels of Mathematics by Owen O'Shea


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