30 Second Maths by Richard Brown

Book Details :
Language English
Pages 236
Format PDF
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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