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The Integration of Functions of a Single Variable
This tract has been long out of print, and there is still some demand for it.
I did not publish a second edition before, because I intended to incorporate
its contents in a larger treatise on the subject which I had arranged to write
in collaboration with Dr Bromwich. Four or ve years have passed, and it
seems very doubtful whether either of us will ever nd the time to carry
out our intention. I have therefore decided to republish the tract.
The new edition diers from the rst in one important point only. In
the rst edition I reproduced a proof of Abel's which Mr J. E. Littlewood
afterwards discovered to be invalid. The correction of this error has led me
to rewrite a few sections completely. The
proof which I give now is due to Mr H. T. J. Norton. I am also indebted
to Mr Norton, and to Mr S. Pollard, for many other criticisms of a less
important character.
I did not publish a second edition before, because I intended to incorporate
its contents in a larger treatise on the subject which I had arranged to write
in collaboration with Dr Bromwich. Four or ve years have passed, and it
seems very doubtful whether either of us will ever nd the time to carry
out our intention. I have therefore decided to republish the tract.
The new edition diers from the rst in one important point only. In
the rst edition I reproduced a proof of Abel's which Mr J. E. Littlewood
afterwards discovered to be invalid. The correction of this error has led me
to rewrite a few sections completely. The
proof which I give now is due to Mr H. T. J. Norton. I am also indebted
to Mr Norton, and to Mr S. Pollard, for many other criticisms of a less
important character.
- GenresMathematics
81 pages, Kindle Edition
Published February 27, 2013
1 person is currently reading
35 people want to read
About the author
G.H. Hardy
68 books148 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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