Pythagoras Cake

Understanding Roulette odds contains a mathematical analysis of how to play roulette effectively. And you can play...

Understanding the mathematical ratio between the bank and a blackjack player, gives better odds of succeeding on Crypto Casinos, says Crypto Lists.



The Queen of the Sciences

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Essays on Mathematical Topics

Real, rational, irrational, imaginary. An explanation of numbers of different kinds, a little about infinite series and an surprising relationship. Types of integers: odd, even, squares; perfect, amicable and prime numbers.

How letters are used to solve equations. Notation and rules. Simple, simultaneous and quadratic equations covered for the beginner. Biquadratics, simple cubics and complex roots.

A number triangle known by the Chinese and named after a French mathematician. This triangle is used for algebra, probabilities, and calculations. The Binomial Theorem and series.

Right-angled triangles. Introducing the trigonometric functions: Sine, Cosine and Tangent. Trigonometrical calculations, formulas and series. Cosine and Sine rules. Secants, Cosecants and Cotangents.

An introductory look at the strange world of logarithms, how they are used for calculations, how they are evaluated with series, and using logarithms to solve algebraic equations. Definitions of index and base.

Graphs are a way of visualising algebraic functions. The Cartesian coordinate system is introduced along with a description of graph drawing from first principles. There are examples of different types of graphs.

The trigonometric identities and graphs of Sine and Cosine. Solving equations containing Sines, Cosines and Tangents.

An introduction to Calculus. An introduction to differentiation - measuring rates of change. Using Newton's Method of Approximations to solve equations.

Spherical Trigonometry is the trigonometry of triangles drawn on a sphere. It is used for many areas in geography and astronomy including navigation, mapping and sundials.

More algebra. Determinants and their use in solving simultaneous equations. Partial fractions. An introduction to Limits, including L'Hôpital's Rule.

Coming soon...

A brief History of Mathematics
Integration (Definite and Indefinite)
Complex Numbers
Hyperbolic Functions
Solving Differential Equations
Vector Algebra

Other Essays

A collection of mathematical, physical and astronomical formulas and the interesting stories behind them.

External Mathematics Links

Please note, these links will open in a separate window.

SOS Mathematics
A superb site covering topics from algebra to differential equations.

Comprehensive mathematics site (up to University level).

A reference resource on many subjects including mathematics.

Worksheet Library
School resource site for various ages.

GED Online Test
Prepare yourself for the GED math test with this fun online resource.

is an excellent educational resource for children, full of interesting information.