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Read e-book online A Brief Guide to the Great Equations: The Hunt for Cosmic PDF

By Robert Crease

ISBN-10: 1845292812

ISBN-13: 9781845292812

Listed below are the tales of the 10 preferred equations of all time as voted for through readers of "Physics World", together with - accessibly defined right here for the 1st time - the favorite equation of all, Euler's equation. each one is an equation that captures with attractive simplicity what can simply be defined clumsily in phrases. Euler's equation [eip + 1 = zero] used to be defined via respondents as 'the so much profound mathematic assertion ever written', 'uncanny and sublime', 'filled with cosmic good looks' and 'mind-blowing'. jointly those equations additionally quantity to the world's so much concise and trustworthy physique of data. Many scientists and people with a mathematical bent have a delicate spot for equations. This publication explains either why those ten equations are so attractive and demanding, and the human tales in the back of them.

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Additional resources for A Brief Guide to the Great Equations: The Hunt for Cosmic Beauty in Numbers

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An example is Fermat’s famous ‘last theorem’, finally proven in 1994, which asserts that no integers satisfy the equation an = bn + cn (all variables stand for positive integers) for any n greater than two. Though, being the denial rather than the assertion of an equality, Fermat’s last theorem cannot be put in the form of an equation. Second, as Hobbes’s experience indicates, even though the Pythagorean theorem involves a bit of knowledge whose proof seems implausible at the beginning, it can be proved simply and convincingly even without mathematical training.

The demonstration referred him back to other propositions in the same book: Propositions 46, 14, 4, and 41. These referred to still others. 2 ‘This made him in love with geometry’, writes Aubrey, adding that Hobbes was a changed man. He started obsessively drawing geometrical figures and writing out calculations on his bedsheets and even on his thigh. 3 These episodes are not terribly interesting. What matters is that the theorem transformed him and his scholarship. ’4 Hobbes began to chastise the moral and political philosophers of the day for their lack of rigor and for being unduly impressed by their predecessors.

This book takes some great equations and provides brief accounts of who discovered them, what dissatisfactions lay behind their discovery, and what the equations say about the nature of our world. 1 ‘The Basis of Civilization’: THE PYTHAGOREAN THEOREM c2 = a2 + b2 DESCRIPTION: The square of the length of the hypotenuse of a right-angled triangle is equal to the sum of the squares of the lengths of the other two sides. DISCOVERER: Unknown DATE: Unknown To this day, the theorem of Pythagoras remains the most important single theorem in the whole of mathematics.

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A Brief Guide to the Great Equations: The Hunt for Cosmic Beauty in Numbers by Robert Crease


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