{"id":252468,"date":"2026-07-13T02:06:45","date_gmt":"2026-07-12T23:06:45","guid":{"rendered":"https:\/\/1kitap1.com\/en\/a-brief-history-of-mathematical-thought-luke-heaton\/"},"modified":"2026-07-13T02:06:45","modified_gmt":"2026-07-12T23:06:45","slug":"a-brief-history-of-mathematical-thought-luke-heaton","status":"publish","type":"post","link":"https:\/\/1kitap1.com\/en\/a-brief-history-of-mathematical-thought-luke-heaton\/","title":{"rendered":"A Brief History Of Mathematical Thought – Luke Heaton"},"content":{"rendered":"
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This simple statement is almost a complete summary of Newton\u2019s famous theory. All we are missing is a definition of what happens when an object experiences a force of a given size. The question \u2018What is a force?\u2019 is far from trivial. Nevertheless, to understand the success of Newton\u2019s theory, we only need to understand the motion that forces produce.<\/p>\n

By definition, if an object of mass m is subject to a force of size F, that object will accelerate at a rate F\/m. Newton\u2019s Law of Gravity has been justifiably described as the greatest generalization achieved by the human mind. This simple \u2018inverse square law\u2019 has many implications, the first of which is easy to deduce.<\/p>\n

Suppose that we have two objects of different mass, located in the same place on earth. Newton\u2019s Law implies the result that Galileo first suggested: both objects will accelerate at the same rate, namely , where m is the mass of the earth, and r is the distance from the objects to the centre of the earth. The very same law can also be used to explain the motion of the planets, the path taken by a projectile, the existence of the tides, the eccentric orbits of comets, the precession of the earth\u2019s axis, and many other measurable phenomena.<\/p>\n

In particular, the German astronomer and mathematician Johann Kepler (1571\u20131630) made a famous study of some very detailed observations of the motion of the planets across the night sky. He tried to summarize this information in a number of ways, and in 1609 he finally formulated a simple scheme that fitted his data extremely well. Kepler\u2019s three famous rules are as follows: 1. As the planets move about the sun, they make the shape of an ellipse, with the sun at one of the foci.<\/p>\n

2. If you draw a line from a planet to the sun, and measure the area that is swept out in a fixed period of time, you always get the same answer. 3. If you square the amount of time it takes for a planet to complete an orbit, and divide this number by the cube of the width of the planet\u2019s ellipse, you always get the same number (a constant that depends on the weight of the sun). Among other things, this means that the length of a planet\u2019s year can be calculated from its average distance from the sun, and vice versa.<\/p>\n

Famously, all of these results are logical consequences of Newton\u2019s Law of Gravity. Indeed, it should be emphasized that Newton\u2019s singular achievement was not so much conceiving the Law of Gravity, as elucidating its mathematical consequences.<\/p>\n

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Dr Luke Heaton graduated with first class honours in Mathematics at the University of Edinburgh before going on to take an MSc in Mathematics and the Logical Foundations of Computer Science at the University of Oxford. After spending a year making mathematically inspired art, he gained a BA in Architecture at the University of Westminster, and was briefly employed as an architectural assistant. He then returned to Oxford, completing a DPhil in Mathematical Biology. He is currently employed by the University of Oxford as a postgraduate research assistant in the Department of Plant Sciences.<\/p>\n

Heaton\u2019s research interests lie in mathematics and the mathematical modelling of biological phenomena, the history and philosophy of mathematics, morphogenesis and biological pattern formation, network theory, biophysics, and the statistical properties of efficient transport networks. He has published several papers on the biophysics of growth and transport in fungal networks. 1kitap1.com\/en Recent titles in the series A Brief Guide to James Bond Nigel Cawthorne A Brief Guide to Secret Religions David V.<\/p>\n

Barrett A Brief Guide to Jane Austen Charles Jennings A Brief Guide to Jeeves and Wooster Nigel Cawthorne A Brief History of Angels and Demons Sarah Bartlett A Brief History of Bad Medicine Ian Schott and Robert Youngston A Brief History of France Cecil Jenkins A Brief History of Ireland Richard Killeen A Brief History of Sherlock Holmes Nigel Cawthorne A Brief History of King Arthur Mike Ashley A Brief History of the Universe J.<\/p>\n

P. McEvoy A Brief History of Roman Britain Joan P. Alcock A Brief History of the Private Life of Elizabeth II Michael Paterson 1kitap1.com\/en A BRIEF HISTORY OF Mathematical Thought Luke Heaton 1kitap1.com\/en Oxford University Press is a department of the University of Oxford. It furthers the University\u2019s objective of excellence in research, scholarship, and education by publishing worldwide. Oxford is a registered trade mark of Oxford University Press in the UK and certain other countries. Published in the United States of America by Oxford University Press 198 Madison Avenue, New York, NY 10016, United States of America.<\/p>\n

\u00a9 Luke Heaton 2017 First published in Great Britain by Robinson. All rights reserved. No part of this publication may be reproduced, stored in a retrieval system, or transmitted, in any form or by any means, without the prior permission in writing of Oxford University Press, or as expressly permitted by law, by license, or under terms agreed with the appropriate reproduction rights organization. Inquiries concerning reproduction outside the scope of the above should be sent to the Rights Department, Oxford University Press, at the address above.<\/p>\n

You must not circulate this work in any other form and you must impose this same condition on any acquirer. Library of Congress Cataloging-in-Publication Data Names: Heaton, Luke. Title: A brief history of mathematical thought \/ Luke Heaton.<\/p>\n<\/blockquote>\n

This is a short excerpt from the opening of “” by Unknown, quoted for review and introduction purposes. All rights belong to the copyright holders.<\/em><\/p>\n

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