Chapter 1#

RELATIONS AND FUNCTIONS#

“Mathematicians do not study objects, but relations between objects . . . Content to them is irrelevant: they are interested in form only” – Henri Poincare

Gottfried Wilhelm Leibniz (also known as von …

Chapter 2#

NUMBERS AND SEQUENCES#

“I know numbers are beautiful, if they aren’t beautiful, nothing is” – Paul Erdos

Srinivasa Ramanujan was an Indian mathematical genius who was born in Erode in a poor family. He was a child prodigy …

3 Algebra#

“A person who can, within a year, solve $x^2-92y^2=1$ is a mathematician” — Brahmagupta

Niccolo Fontana Tartaglia was an Italian mathematician, engineer, surveyor and bookkeeper from then Republic of Venice (now Italy). He published many …

4 Geometry#

“The knowledge of which geometry aims is the knowledge of eternal” — Plato

Omar Khayyam was a Persian mathematician, astronomer and poet. As a poet, his classic work Rubaiyat attained world fame.

Khayyam’s work is an effort to unify …

5 Coordinate Geometry#

“A line is breadthless length” — Euclid

Apollonius was born at Perga, in modern day Turkey. His greatest work was called “conics” which introduced curves like circle, parabola geometrically. He wrote six other books all …

6 Trigonometry#

“The deep study of nature is the most fruitful source of mathematical discoveries” — Joseph Fourier

French mathematician Francois Viete used trigonometry in the study of Algebra for solving certain equations by making suitable …

Chapter 7#

MENSURATION#

“Nature is an infinite sphere of which the centre is everywhere and the circumference nowhere”. – Blaise Pascal

Pappus, born at Alexandria, Egypt is the last of the great Greek geometers. Pappus major work …

8 Statistics and Probability#

“Life is a School of Probability” — Walter Bagehot

Prasanta Chandra Mahalanobis, born at Kolkata, was an Indian statistician who devised a measure of comparison between two data sets. He introduced innovative techniques …