February 22, 2017

30-Second Maths: The 50 Most Mind-Expanding Theories in by Richard J. Brown

By Richard J. Brown

From Rubik's cubes to Godel's incompleteness theorem, every thing mathematical defined, with color illustrations, in part a minute. Maths is having fun with a resurgence in recognition. So how will you stay away from being the single dinner visitor who has no concept who Fermat used to be, or what he proved? The extra you recognize approximately Maths, the fewer of a technology it turns into. 30 moment Maths takes the pinnacle 50 most tasty mathematical theories, and explains them to the final reader in part a minute, utilizing not anything greater than pages, two hundred phrases and one photo. learn at your individual speed, and notice that maths could be extra interesting than you ever imagined.

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'[30-Second Maths] unveils the beauty of arithmetic, concerning rules from the Mobius strip to infinity with transparent, wonderful and delightfully concise explanations.' -- New Scientist

About the Author

Richard Brown is Director of Undergraduate stories on the division of arithmetic, Johns Hopkins University. 

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Additional info for 30-Second Maths: The 50 Most Mind-Expanding Theories in Mathematics, Each Explained in Half a Minute

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The concept of infinity has fascinated mathematicians for millennia. The Greek stoic Zeno studied the idea through a series of paradoxes. His most famous posited that all motion is impossible, since to go from point A to point B, one must pass through an infinite number of in-between points, each taking a positive time to get from one to the next, and since an infinite number of positive numbers must add to infinity, one can go nowhere in finite time. ), but the thought provoked much study. Today the central idea behind calculus involves infinity.

43 stands for 7 hundreds, 2 tens, 5 units, 4 tenths (of a unit) and 3 hundredths. By incorporating ever more columns to the left or to the right, numbers both large and small can be written as precisely as needed. In fact every number in between the whole numbers can be expressed as a decimal (but not as a fraction), giving us the ‘real’ number system. 3-SECOND SUM The starting point for mathematics is the system of whole numbers, 0, 1, 2, 3… But many things fall between the gaps, and there are two ways to measure them.

1250 30-SECOND TEXT Jamie Pommersheim Fibonacci numbers appear in the ancestral tree of a honeybee. Each male bee has only a female parent, while each female has two parents, one male and one female. PASCAL’S TRIANGLE the 30-second maths What comes next in this sequence: (1 1), (1 2 1), (1 3 3 1), (1 4 6 4 1),…? This riddle is an important problem in algebra, known as ‘expanding brackets’. Start with the expression (1 + x) and multiply it by itself. This gives (1 + x)2 = 1 + 2x + 1x2. Multiplying three brackets gives (1 + x)3 = 1 + 3x + 3x2 + 1x3.

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