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

By Richard J. Brown

From Rubik's cubes to Godel's incompleteness theorem, every little thing mathematical defined, with color illustrations, in part a minute. Maths is having fun with a resurgence in acceptance. So how are you going to stay away from being the one dinner visitor who has no thought 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 realize that maths could be extra interesting than you ever imagined.

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'[30-Second Maths] unveils the beauty of arithmetic, referring to principles from the Mobius strip to infinity with transparent, exciting 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

Example text

4 × 3 = −12. But multiply one negative number by another, and you get a positive result: −4 × −3 = 12. So there was no number (positive or negative) which, when multiplied by itself, gives a negative answer. This meant that some simple equations, such as x2 = −1, could never be solved, which was an obstacle to solving more sophisticated equations, even when solutions existed. This was corrected by a new ‘imaginary’ number i, defined as the square root of −1; that is to say i × i = −1. This started off as a cheat to assist in calculations and was controversial early on; Descartes coined the term ‘imaginary’ as a derogatory term.

Number line The visual representation of all real numbers on a horizontal scale, with negative values running indefinitely to the left and positive to the right, divided by zero. Most number lines usually show the positive and negative integers spaced evenly apart. , x2. ) rational number Any number that can be expressed as a ratio of the integers on a number line; or more simply any number that can be written as a fraction, including whole numbers. Rational numbers are also identified by finite or repeating decimals.

Rational number Any number that can be expressed as a ratio of the integers on a number line; or more simply any number that can be written as a fraction, including whole numbers. Rational numbers are also identified by finite or repeating decimals. real number Any number that expresses a quantity along a number line or continuum. Real numbers include all of the rational and the irrational numbers. transcendental number Any number that cannot be expressed as a root of a non-zero polynomial with integer coefficients; in other words non-algebraic numbers.

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