Download e-book for iPad: A Brief History of Mathematical Thought by Luke Heaton

By Luke Heaton

ISBN-10: 0190621761

ISBN-13: 9780190621766

Ads for the wildly well known online game of Sudoku frequently characteristic the reassuring phrases, "no mathematical wisdom required." in truth, the one ability Sudoku does require is using mathematical common sense. for plenty of humans, anxiousness approximately math is so entrenched, and grade tuition stories so haunting, that those disclaimers - notwithstanding deceptive - are essential to steer clear of intimidating power purchasers.

In A short historical past of Mathematical Thought, Luke Heaton presents a compulsively readable heritage that situates arithmetic in the human adventure and, within the technique, makes it extra obtainable. studying math starts with knowing its heritage. Heaton's e-book for this reason deals a full of life consultant into and during the realm of numbers and equations-one within which styles and arguments are traced via common sense within the language of concrete event. Heaton unearths how Greek and Roman mathematicians like Pythagoras, Euclid, and Archimedes helped formed the early common sense of arithmetic; how the Fibonacci series, the increase of algebra, and the discovery of calculus are hooked up; how clocks, coordinates, and logical padlocks paintings mathematically; and the way, within the 20th century, Alan Turing's progressive paintings at the idea of computation laid the foundation for the fashionable global.

A short historical past of Mathematical suggestion situates arithmetic as a part of, and necessary to, lived event. realizing it doesn't require the appliance of assorted ideas or numbing memorization, yet fairly a old mind's eye and a view to its origins. relocating from the starting place of numbers, into calculus, and during infinity, Heaton sheds mild at the language of math and its value to human life.

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Extra info for A Brief History of Mathematical Thought

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It seems that Ahmes was matheÂ�matically educated, which makes him the most ancient mathematician whose name we know. The ‘Ahmes Papyrus’ contains eighty-five problems, and it demonstrates the Egyptians’ ability to solve problems that involve unknown quantities, as well as their systematic use of fractions of the form 1/n. For example, the ‘Ahmes Papyrus’ contains the line ‘a heap plus a quarter of that heap again makes fifteen’. Through trial and error Ahmes realized that the heap must be size twelve (because twelve plus a quarter of twelve is fifteen).

In other words, in a very limited way we can ‘do matheÂ�matics’ without needing to reflect on the significance or meaning of our symbols. However, matheÂ�matics isn’t only about the proper, rulegoverned use of symbols: it is about ideas that can be expressed by the rule-governed use of symbols, and it seems that many matheÂ�matical ideas are deeply rooted in the structure of the world that we perceive. Stone Age Rituals and Autonomous Symbols Mathematicians are interested in ideas, not just the manipulation of ‘meaningless’ symbols, but the practice of matheÂ�matics has always involved the systematic use of symbols.

After all, in what bizarre circumstance does a person know the difference between a field’s length and breadth, without actually knowing either the length or the breadth? As this example indicates, it is clear that our ancestors’ passion for matheÂ� matics ran deeper than narrowly practical concerns. People are naturally drawn into investigating the world that our language evokes, and in many ways the matheÂ� matics of the ancient world is still accessible to us today. However, even though we can replicate the procedures of ancient matheÂ�maticians, our attitude towards mathematic facts has become very different.

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A Brief History of Mathematical Thought by Luke Heaton

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