Srinivasa Ramanujan

Mathematics Indian 1887 – 1920 688 quotes

Self-taught genius who made extraordinary contributions

Most quoted

"I beg to introduce myself to you as a clerk in the Accounts Department of the Port Trust Office at Madras on a salary of only £20 per annum. I am now about 23 years of age. I have had no University education but I have undergone the ordinary school course. After leaving school I have been employing the spare time at my disposal to work at Mathematics. I have not trodden through the conventional regular course which is followed in a University course, but I am striking out a new path for myself. I have made a special investigation of divergent series in general and the results I get are termed by the local mathematicians as 'startling'."

— from First letter to G.H. Hardy, 1913

"I beg to introduce myself to you as a clerk in the Accounts Department of the Port Trust Office at Madras on a salary of only £20 per annum. I am now about 23 years of age. I have had no University education but I have undergone the ordinary school course. After leaving school I have been employing the spare time at my disposal to work at Mathematics."

— from Letter to G.H. Hardy, 1913

"I remember once going to see him when he was ill at Putney. I had ridden in taxi cab number 1729 and remarked that the number seemed to me rather a dull one, and that I hoped it was not an unfavourable omen. 'No,' he replied, 'it is a very interesting number; it is the smallest number expressible as the sum of two cubes in two different ways.'"

— from Recounted by G.H. Hardy, 1918

All quotes by Srinivasa Ramanujan (688)

Modular forms sing harmonies of numbers.

Paper 1916

From Madras to Cambridge, a journey of the mind.

Travel reflection 1914

q-series are the language of partitions.

Work excerpt 1915

I find joy in solving the unsolvable.

Personal saying

Hardy, your rigor complements my intuition.

Collaboration note 1915

The divine writes on the slate of my mind.

Dream account

My early failures taught me perseverance.

Life reflection

The Ramanujan prime is every prime in a certain range.

Definition 1919

In pain, I still see the beauty of pi.

Illness remark 1920

Theta functions transform under modular group.

Major work 1916

I am grateful for the Royal Society's recognition.

Fellowship acceptance 1918

Life's meaning is in the pursuit of truth.

Philosophical thought

Numbers are eternal; humans are transient.

Aphorism

My second letter to Hardy sealed my fate.

Correspondence 1913

The integral from 0 to infinity of x^{n-1}/(1+x) dx = pi / sin(pi n).

Notebook 1910

Intuition guides where proof lags.

Method remark

Family is the anchor in stormy seas of research.

Letter to wife 1916

The circle of numbers never ends.

Metaphorical saying

I discovered the Hardy-Ramanujan asymptotic series.

Joint paper 1918

In my final days, I entrust my work to the world.

Last words variant 1920