By Alex Bellos
From triangles, rotations and tool legislation, to fractals, cones and curves, most sensible promoting writer Alex Bellos takes you on a trip of mathematical discovery along with his signature wit, enticing tales and unlimited enthusiasm. As he narrates a chain of eye-opening encounters with energetic personalities around the world, Alex demonstrates how numbers have turn out to be our buddies, are attention-grabbing and intensely available, and the way they've got replaced our world.
He turns even the feared calculus into an easy-to-grasp mathematical exposition, and sifts via over 30,000 survey submissions to bare the world's favorite quantity. In Germany, he meets the engineer who designed the 1st roller-coaster loop, while in India he joins the world's hugely numerate neighborhood on the overseas Congress of Mathematicians. He explores the wonders at the back of the sport of existence application, and explains mathematical common sense, progress and detrimental numbers. Stateside, he hangs out with a personal detective in Oregon and meets the mathematician who appears to be like for universes from his storage in Illinois.
Read this eye-catching e-book, and also you won't fully grasp that you're studying approximately complicated recommendations. Alex gets you addicted to maths as he delves deep into humankind's turbulent dating with numbers, and proves simply how a lot enjoyable we will have with them.
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Extra info for Alex Through the Looking-Glass: How Life Reflects Numbers and Numbers Reflect Life
Same percentage of saturation represents the ratio between speed variation of a shunt motor and change of voltage V supplied to its terminals. 60 X 5 = the voltage increased 5 per cent, the percentage of ELECTRIC MOTORS, THEIR ACTION 30 AND CONTROL. At 100 per cent or complete saturation the saturation being 60. speed rises or falls exactly the same percentage as the voltage. On the other hand, at zero saturation or with low flux densities practically proportional to the excitation, the speed would be constant.
Rise being permissible) is 15 per cent greater (see p. 28 ohm. f. f. 2 volts. m. m. not material in most practical cases, as the change due to varying load may be 4 or 5 per cent as shown above. As already noted on page 22, the load may be and often is sud- cent, which is denly thrown off a motor when its armature is "hot," and conversely In each case it is rated load is often applied to a "cold" armature. merely a question of fact how warm the armature may be. But the variation in resistance tical effect Change upon is only 15 per cent and produces shown above.
The quantities involved in that equation are determined by the designer of a motor or generator, but all of them are not usually known to, or readily ascertainable Hence the following method is given data employs easily obtained by the simple tests already " indicated under the head of The Armature Resistance" on page 13. by, the user of the machine. because These it tests can readily be made after the machine is in practical service. In the armature circuit of any direct-current motor the applied voltage, F, overcomes three factors, namely, resistance drop, brush- V = I aR a + D b + (I a R a + D b ).