Introducing Mathematics
A Graphic Guide
Published on 14. March 2015
176 pages
978-1-84831-969-1 (ISBN)
Description
What is mathematics, and why is it such a mystery to so many people? Mathematics is the greatest creation of human intelligence. It affects us all. We depend on it in our daily lives, and yet many of the tools of mathematics, such as geometry, algebra and trigonometry, are descended from ancient or non-Western civilizations.
Introducing Mathematics traces the story of mathematics from the ancient world to modern times, describing the great discoveries and providing an accessible introduction to such topics as number-systems, geometry and algebra, the calculus, the theory of the infinite, statistical reasoning and chaos theory. It shows how the history of mathematics has seen progress and paradox go hand in hand - and how this is still happening today.
Introducing Mathematics traces the story of mathematics from the ancient world to modern times, describing the great discoveries and providing an accessible introduction to such topics as number-systems, geometry and algebra, the calculus, the theory of the infinite, statistical reasoning and chaos theory. It shows how the history of mathematics has seen progress and paradox go hand in hand - and how this is still happening today.
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Content
- Intro
- Cover
- Title Page
- Copyright
- Contents
- Why Maths?
- Counting
- Written Numbers
- The Zero
- Special Numbers
- Large Numbers
- Powers
- Logarithms
- Calculation
- Equations
- Measurement
- Greek Mathematics
- Pythagoras
- Zeno's Paradoxes
- Euclid
- Chinese Mathematics
- The Chiu Chang
- Four Chinese Mathematicians
- Indian Mathematics
- Vedic Geometry
- Brahmagupta
- Jain Numbers
- Vedic and Jain Combinations
- Mathematical Verse
- Ramanujan
- Islamic Mathematics
- Al-Khuwarazmi
- Development of Algebra
- The Discovery of Trigonometry
- Al-Battani
- Abu Wafa
- Ibn Yunus and Thabit Ibn Qurra
- Al-Tusi
- Solutions of Problems Involving Integers
- Emergence of European Mathematics
- René Descartes
- Analytic Geometry
- Functions
- The Calculus
- Differentiation
- Integration
- Berkely's Questions
- Euler's God
- Non-Euclidean Geometries
- N-Dimension Spaces
- Evariste Galois
- Groups
- Boolean Algebra
- Cantor and Sets
- Crisis in Mathematics
- Russell and Mathematical Truth
- Gödel's Theorem
- The Turning Machine
- Fractals
- Chaos Theory
- Topology
- Number Theory
- Statistics
- P-values and Outliers
- Probability
- Uncertainty
- Policy Numbers
- Mathematics and Eurocentrism
- Ethnomathematics
- Mathematics and Gender
- Where Now?
- Further Reading
- The Authors
- Index
