Infinity Explained

by Mike Flynn

Overview

This witty and comprehensive guide revels in the wonders of mathematical concepts, from the basics of numeration and counting, to two-dimensional shapes and sold figures, all the way through to the influence of advanced mathematics theory on physics, chemistry, modern computing, and astrophysics. New mathematical theories, including chaos theory, fractals, and Non-Euclidian mathematics and geometry, are examined. A reference section simplifies formulae, provides conversion charts for weights and measurements, lists common compounds from the periodic table, as well as measurements of the distance between the Milky Way and other Local Group galaxies.

Product Details

ISBN-13:	9781477781272
Publisher:	Rosen Publishing Group, Incorporated, The
Publication date:	12/30/2014
Series:	Guide for Curious Minds Series
Pages:	149
Product dimensions:	6.10(w) x 9.00(h) x 0.60(d)
Age Range:	12 - 17 Years

Table of Contents

Numbers & Shapes 7

The Concept of Numbers 8

Types of Numbers 12

Fractions 16

Decimals 16

Percentages 16

Indices 17

Logarithms 17

Powers of 10 18

Dimension 19

Classification of Two-dimensional Shapes 19

Solid Figures: Polyhedrons 22

Topology 24

The Beauty of Numbers 26

Using Numbers 29

The Development of Measuring Systems 30

SI Units 33

Time Measurement 34

Theory of Measurement 39

Scientific Measurements 39

Simple Graphs and Charts 41

Probability and Statistics 44

Algebra & Trigonometry 47

Algebra 48

Coordinate Systems 51

Graphs and Functions 52

Calculus From First Principles 55

Properties and Types of Angles 57

Parts and Properties of a Circle 59

Trigonometry 60

Physics & Chemistry 63

Force and Motion 64

Laws of Motion 64

The Nature of Energy 68

Heat and Temperature 68

Pressure 70

The Gas Laws 71

Pressure and Depth 72

Fluid Dynamics 72

Electromagnetism 72

Electricity 72

Electric Circuits 74

Electromagnetic Field 74

Elements 75

The Periodic Table 78

Einstein's Theories of Relativity 80

E = mc² 82

Radioactivity 83

Fission, Fusion, and the Bomb 84

Subatomic Particles 86

A Brief History of Cosmology 87

Hubble's Law 88

Big Bang Theory 89

Steady State Theory 90

Brane Theory 91

Dark Matter 92

Infinity Redefined 92

Computers & Digitization 93

Calculating Machines 94

Computer Components 98

Alphanumeric Characters 100

Digital Sound 100

Digital Pictures 101

Digital Video 102

Data Storage 102

Moore's Law 103

Computers and Science 104

Virtual Worlds 104

The Internet 106

Logic, Chaos Theory, & Fractals 109

Plato's Influence on Mathematics 110

Euclidean Mathematics 110

Non-Euclidean Mathematics 110

Physics and Field Equations 111

Chaos Theory 112

Fractals 115

General Reference 119

Squares and Cubes 120

Roman Numerals 120

Areas and Volumes of Two- and Three-dimensional Shapes 121

Conversion Tables 122

SI Units and Definitions 124

SI Measurements 125

SI Quantities 126

Logarithm Table for Sine, Cosine, and Tangent 127

Mathematical Symbols 130

Basic Rules of Algebra 30

Elements in the Earth's Crust 131

Common Names and Formulae of Important Compounds 131

Temperature Scales 132

Melting and Boiling Points of Elements 132

Recent Discovery of Elements 133

Ions and Radicals 133

Local Group of Galaxies 134

Brightest Stars 135

Earthquake Measurement 135

Physics Symbols 136

Physics Formulae 136

Useful Fractions, Decimals, and Percentages 138

Metric Prefixes 138

Computer Coding 139

Glossary 140

For More Information 142

For Further Reading 144

Index 145

Picture Credits 149