Physics
Motion of a moving particle is considered to be one of the most instructive and useful physical systems one can study. In a real world case, such systems may exhibit immense complexity and intractability. But if we are lucky, we may be able to isolate the moving particle from unwanted
Number Theory
Leonhard Euler (15 April 1707–18 September 1783) was a Swiss mathematician, who is considered to be one the greatest mathematicians of all…
Algorithm
From elementary mathematics, we are familiar with the four basic mathematical operations associated with numbers — addition, subtraction…
Galileo
Albert Einstein has been one of the most celebrated scientists of all time. It is funny, that his ideas are also, among the most difficult…
Linear Algebra
Linear algebraic equations are one of the simplest equations that we can solve. If there is only one variable, then the solutions are…
Calculus
The first experience with calculus is usually quite memorable for most of us. For some it introduces a tool of immense beauty and…
Geometry
Ptolemy was an ancient astronomer, geographer, and mathematician who lived from (c. AD 100 — c. 170). He is most famous for proposing the…
Number Theory
Fibonacci numbers are one of the most captivating things in mathematics. They hold a special place in almost every mathematician’s heart…
Analysis
The methods of finding roots of a quadratic equations are quite easy and are very well understood. There are all kinds of approaches…