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Some Famous Problems of the Theory of Numbers
Excerpt from Some Famous Problems of the Theory of Numbers, and in Particular Waring's An inaugural Lecture Delivered Before the University of Oxford. In the second place, I think that a professor should choose, for his inaugural lecture, a subject, if such a subject exists, to which has made himself some contributions of substance and about which he has something new to say. And about mathematical philosophy I have nothing new to I can only repeat what has been said by the men, Cantor and Frege in Germany, Peano in Italy, Russell and Whitehead in England, Who have originated the subject and moulded it now into something like a definite form. It would be an insult to my new University to offer it a watered synopsis of someone else's work. I have therefore finally desided after much hesitation, to take a subject which is quite frankly mathematical, and to give a summary account of the result of some researches which.
34 pages, Paperback
First published February 1, 2008
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About the author
G.H. Hardy
68 books149 followersGodfrey Harold Hardy FRS was a prominent English mathematician, known for his achievements in number theory and mathematical analysis.
Non-mathematicians usually know him for A Mathematician's Apology, his essay from 1940 on the aesthetics of mathematics. The apology is often considered one of the best insights into the mind of a working mathematician written for the layman.
His relationship as mentor, from 1914 onwards, of the Indian mathematician Srinivasa Ramanujan has become celebrated. Hardy almost immediately recognized Ramanujan's extraordinary albeit untutored brilliance, and Hardy and Ramanujan became close collaborators. In an interview by Paul Erdős, when Hardy was asked what his greatest contribution to mathematics was, Hardy unhesitatingly replied that it was the discovery of Ramanujan. He called their collaboration "the one romantic incident in my life."
Non-mathematicians usually know him for A Mathematician's Apology, his essay from 1940 on the aesthetics of mathematics. The apology is often considered one of the best insights into the mind of a working mathematician written for the layman.
His relationship as mentor, from 1914 onwards, of the Indian mathematician Srinivasa Ramanujan has become celebrated. Hardy almost immediately recognized Ramanujan's extraordinary albeit untutored brilliance, and Hardy and Ramanujan became close collaborators. In an interview by Paul Erdős, when Hardy was asked what his greatest contribution to mathematics was, Hardy unhesitatingly replied that it was the discovery of Ramanujan. He called their collaboration "the one romantic incident in my life."
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Displaying 1 of 1 review
February 2, 2023
Poetically written, as can always be expected from Hardy. He provides fascinating background information on Waring’s problem while allowing his personality and wit to shine through. Hardy not only references many great minds such as Polyá and Hilbert, but also expounds upon his collaborations with Ramanjuan and Littlewood.
Very easily digestible read as well.
I would give it 6 stars if I could
Very easily digestible read as well.
I would give it 6 stars if I could
Displaying 1 of 1 review