The Call of the Primes: Surprising Patterns, Peculiar by Owen O'Shea

By Owen O'Shea

This sampler of pleasing mathematical diversions finds the attractiveness and amazing usefulness of arithmetic for readers who imagine they've got no flair for the topic. in case you like every type of online game in any respect, you’ll benefit from the striking mathematical puzzles and styles provided the following in effortless phrases that any layperson can comprehend. From magic squares and the mysterious features of leading numbers to Pythagorean triples, likelihood conception, the Fibonacci series, and extra, the writer indicates that math should be enjoyable whereas having a few profound implications.

Such ubiquitous mathematical entities as pi and the Fibonacci numbers are chanced on in the course of the wildlife and also are the root of our technological civilization. through exploring the interesting video games offered the following, you’ll come away with a better appreciation for the wonder and value of those and lots of extra math concepts.

this is often the appropriate booklet for those that have been became off by means of math in class yet now as adults ask yourself what they might have ignored.

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

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It has been calculated to trillions of decimal places in recent years by computer programmers. Mathematicians have not found any apparent pattern in its decimal expansion. Pi is one of the most famous numbers in the whole of mathematics; it is discussed later in this book. Dr. Cong mentioned that one of the great experts on magic squares and cubes was the late John Hendricks. Hendricks was born in Canada on September 4, 1929, and he died on July 7, 2007. In 1951, Hendricks obtained a degree in mathematics from the University of British Columbia, in Canada.

The two central numbers in the bottom row of Dürer's square give the year in which the engraving was made: 1514. The numbers in the two bottom corners, 1 and 4, give the numeric positions of the initials of Albrecht Dürer. An order-three magic square consisting of powers of 3, 4, and 5 have been known to be impossible since 1900. Can an order-three magic square consisting of powers greater than 5 exist? 8 Can an order-four magic square exist in which all of its integers are square numbers? The answer is yes.

2, the top horizontal row contains the digits—from left to right—4, 9, 2; the digits in the middle row are 3, 5, 7; and the digits in the bottom row are 8, 1, 6. The constant of a normal magic square is easily derived. The sum of the integers from 1 to n is (n (n + 1))/2, or (n2 + n)/2. The integers that appear in a normal magic square run from 1 to n2. Thus the sum of the integers in a standard magic square is n2 (n2 + 1)/2 or (n4 + n2)/2. The magic square consists of n rows. Therefore, the sum of each row is (n4 + n2)/2n, which equals (n3 + n)/2.

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