**30 Second Maths by Richard Brown**

Book Details : | |
---|---|

Language | English |

Pages | 236 |

Format | |

Size | 4.58 MB |

30-Second Maths The 50 Most Mind Expanding Theories in Mathematics, Each Explained in Half a Minute by Richard Brown PDF Free Download.

30 Second Maths book Contents

Numbers and Counting

GLOSSARY

Fractions & Decimals

Rational & Irrational Numbers

Imaginary Numbers

Counting Bases

Prime Numbers

Fibonacci Numbers

Pascal’s Triangle

profile: Blaise Pascal

Number Theory

Making Numbers Work

GLOSSARY

Zero

Infinity

Addition & Subtraction

Multiplication & Division

Exponentials & Logarithms

Functions

profile: Gottfried Leibniz

Calculus

Chance is a Fine Thing

GLOSSARY

Game Theory

Calculating the Odds

profile: Girolamo Cardano

The Law of Large Numbers

The Gambler’s Fallacy – Law of Averages

The Gambler’s Fallacy – Doubling Up

Randomness

Bayes’ Theorem

Algebra & Abstraction

GLOSSARY

The Variable Placeholder

The Equation

Polynomial Equations

profile: Abu ‘Abdallah Muhammad ibn Musa al-Khwarizmi

Algorithms

Sets & Groups

Rings & Fields

Geometry & Shapes

GLOSSARY

Euclid’s Elements

Pi – The Circle Constant

The Golden Ratio

profile: Pythagoras

Trigonometry

Squaring the Circle

Parallel Lines

Graphs

Another Dimension

GLOSSARY

Platonic Solids

Topology

Euler Bricks

The Möbius Strip

profile: Archimedes of Syracuse

Fractals

Origami Geometry

Rubik’s Cube

Knot Theory

Proofs & Theorems

GLOSSARY

Fermat’s Last Theorem

profile: Pierre de Fermat

The Four Colour Mapping Problem

Hilbert’s Program

Gödel’s Incompleteness Theorem

Poincaré’s Conjecture

The Continuum Hypothesis

Riemann’s Hypothesis

## Introduction to 30 Second Maths PDF

It is said that mathematics is the art of pure reason. It is the fundamental logical structure of all that exists, and all that doesn’t exist, in this reality of ours. Far removed from the simple calculations that allow us to balance our accounts and calculate our everyday affairs, mathematics helps us to order and understand the very notion of everything we can imagine in life. Like music, art, and language, the essential symbols and concepts of mathematics, many of which are defined and discussed in this book, allow us to express ourselves in amazingly intricate ways and to define unimaginably complex and beautiful structures. While the practical uses for mathematics are rife, what makes mathematics so magical is its elegance and beauty outside of any real application. We give the concepts in mathematics meaning only because they make sense and help us to order our existence. But outside of the meaning, we give these elements of maths, they do not really exist at all except in our imagination.

The natural and social sciences use mathematics to describe their theories and provide structure to their models, and arithmetic and algebra allow us to conduct our business and learn how to think.

This book contains 50 entries, each of which centers on an important topic in mathematics. They are ordered into seven categories, which roughly help to define their context. In Numbers & Counting, we explore the basic building blocks that allow us to enumerate our surroundings.

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