Download e-book for kindle: 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 reputation. So how are you going to keep away from being the one dinner visitor who has no notion who Fermat used to be, or what he proved? The extra you recognize approximately Maths, the fewer of a technological know-how it turns into. 30 moment Maths takes the pinnacle 50 most attractive mathematical theories, and explains them to the overall reader in part a minute, utilizing not anything greater than pages, 2 hundred phrases and one photo. learn at your personal velocity, and observe that maths may be extra attention-grabbing than you ever imagined.

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Review

'[30-Second Maths] unveils the beauty of arithmetic, referring to 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 experiences on the division of arithmetic, Johns Hopkins University. 

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

Example text

Integer Any natural number (the counting numbers 1, 2, 3, 4, 5 and so on), 0 or the negative natural numbers. irrational number Any number that cannot be expressed as a ratio of the integers on a number line. The most commonly cited examples of irrational numbers are π and √2. A good way of identifying an irrational number is to check that its decimal expansion does not repeat. Most real numbers are irrational numbers. 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.

3-MINUTE ADDITION Infinitely many numbers may be added or subtracted in an infinite series. A series with a finite limit is said to be convergent. A simple example is the series ½ + ¼ + ⅛ + 1/16 + … = 1. To see this, imagine walking half way across a room, then half the remaining distance (¼ of the total), then half the remaining distance (⅛) and so on. Some infinite series yield surprising results. For example, 1 − ⅓ + ⅕ − 1/7 + 1/9 − 1/11 + 1/13 − 1/15 … = π/4. RELATED THEORIES FRACTIONS & DECIMALS COUNTING BASES ZERO MULTIPLICATION & DIVISION 3-SECOND BIOGRAPHIES ARYABHATA 476–550 BRAHMAGUPTA 598–670/668 LEONARDO FIBONACCI 1170–1250 JOHANNES WIDMANN c.

Numbers that are not algebraic are called transcendental – only irrational numbers can be transcendental. 3-SECOND SUM ‘Real’ numbers — the numbers used to express quantities and representable via a decimal expansion — are either rational or irrational. But some irrationals are more unusual than others. 3-MINUTE ADDITION The philosophy of the ancient Greeks held that all things measurable are, at worst, the ratio of whole numbers. Anecdotal history holds that the Pythagoreans were so distraught to discover that √2 is irrational that Hippasus of Metapontum was murdered to prevent revelation of this truth to the world.

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30-Second Maths: The 50 Most Mind-Expanding Theories in Mathematics, Each Explained in Half a Minute by Richard J. Brown


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