Mathematics and the Laws of Nature: Developing the Language of Science

Mathematics and the Laws of Nature: Developing the Language of Science

by John Tabak
     
 

ISBN-10: 0816049572

ISBN-13: 9780816049578

Pub. Date: 06/28/2004

Publisher: Facts on File, Incorporated

The History of Mathematics is a fascinating survey of the development of math through discovery, innovation, collaboration, and experimentation. The set presents a compelling overview of myriad aspects of mathematics using understandable language and appealing line illustrations and photographs. Mathematics and the Laws of Nature is an insightful examination of the…  See more details below

Overview

The History of Mathematics is a fascinating survey of the development of math through discovery, innovation, collaboration, and experimentation. The set presents a compelling overview of myriad aspects of mathematics using understandable language and appealing line illustrations and photographs. Mathematics and the Laws of Nature is an insightful examination of the pioneering ideas, works, and applications that have made mathematics the language of science. Author John Tabak looks at the many ways in which so-called pure math has been used in the applied sciences. For example, he explores how mathematical theories contributed to the development of Kepler's laws of planetary motion as well as to combustion modeling and hydrodynamics. The book gives students insight into the ways that math is used to explain the world around them, offering many examples that show how nature can be descibed mathematically and how the physical sciences and math connect. Mathematics and the Laws of Nature includes an index, a chronology of notable events, a glossary of terms, a helpful list of Internet resources, and an array of historical and current print sources for further research. Keyed to current principles and standards in teaching math, The History of Mathematics set is essential for young readers who require information on relevant topics in mathematics.

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Product Details

ISBN-13:
9780816049578
Publisher:
Facts on File, Incorporated
Publication date:
06/28/2004
Series:
Facts on File Math Library
Pages:
240
Product dimensions:
6.20(w) x 9.32(h) x 0.78(d)
Age Range:
11 - 17 Years

Table of Contents

Acknowledgmentsix
Introduction: Natural Lawsxi
1Nature as Geometry1
The Ancient Sky2
Recording the Stars to Predict the Future6
The Astronomical Calculations9
The Tablets12
2Mathematics and Science in Ancient Greece15
Ratios and the Measure of the Universe15
A Geometry of the Universe22
A Rotating Earth27
Archimedes: Fusing Physics with Mathematics28
The Law of the Lever32
Archimedes' Measurement of a Circle34
The Siege of Syracuse34
3A Period of Transition40
Nicholas Oresme41
Nicolaus Copernicus46
Johannes Kepler51
Platonic Solids57
Leonardo da Vinci and the Equation of Continuity59
Proving Leonardo's Equation of Continuity64
4New Sciences66
Simon Stevin68
Stevin and Music72
Galileo Galilei75
Fermat, Descartes, and Wallis80
5Mathematics and the Law of Conservation of Momentum88
The Laws of Motion93
The Discovery of Neptune98
6Mathematics and the Law of Conservation of Mass103
Leonhard Euler and the Science of Fluid Dynamics107
The Mathematics of Combustion109
7Mathematics and the Laws of Thermodynamics112
Sadi Carnot118
Calculating the Efficiency of a Carnot Engine124
James Prescott Joule126
The First Law of Thermodynamics128
The Second Law of Thermodynamics133
Entropy139
8Modern Ideas about Conservation Laws142
Olga Oleinik147
9Natural Laws and Randomness153
Population Genetics161
The Limits of Predictability169
Genetic Counseling174
Chronology177
Glossary195
Further Reading201
Index211

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