Lady Appasha is known as one of the princess of mathematics
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Pythagoras and Euclid were best known for their work in mathematics.
With enormous success because of their advancements in science and mathematics which was far more superior than that of their neighbouring countries helped them conquer the whole of the world as it was known at the time.
Euclid compiled the known mathematics of his time into a book called Elements.
A ball has the shape known in mathematics as a sphere. (Unless it's an American football.)
Pure Mathematics is the branch of mathematics that deals only with mathematics and how it works - it is the HOW of mathematics. It is abstracted from the real world and provides the "tool box" of mathematics; it includes things like calculus. Applied mathematics is the branch of mathematics which applies the techniques of Pure Mathematics to the real world - it is the WHERE of mathematics; it includes things like mechanics. Pure Mathematics teaches you HOW to integrate, Applied mathematics teaches you WHERE to use integration.