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G.h. hardy contributions to math

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Reviews of G H Hardy's Apology

Let us point out right at the beginning of this collection of extracts from reviews of G H Hardy's A Mathematician's Apologythat Alan J Cain has recently (2019)produced An Annotated Mathematician's Apology. Alan Cain has annotated the Apologybut, of particular significance for this article, he has surveyed all contemporary reviews of the Apology.
This fascinating essay is available at THIS LINK

We list below extracts from reviews of G H Hardy's A Mathematician's Apology. Depending on the review, we have chosen to make our extract either short or long. We list the different reprints of the book as separate entries in chronological order, beginning with the first edition of 1940. Note that at the time of writing this article (2020), the Apologyis 80years old.

Click on a link below to go to the information about that book

  1. A Mathematician's Apology(1940)

  2. A Mathematician's Apology(1967), with C P Snow

  3. A Mathematician's Apology (Reprint)(1992), with C P Snow

  4. An Annotated Mathematician's Apology(2019), with Alan J Cai
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    Quick Info

    Born
    7 February 1877
    Cranleigh, Surrey, England
    Died
    1 December 1947
    Cambridge, England
    Summary
    Hardy's interests covered many topics of pure mathematics:- Diophantine analysis, summation of divergent series, Fourier series, the Riemann zeta function and the distribution of primes.

    Biography

    G H Hardy's father, Isaac Hardy, was bursar and an art master at Cranleigh school. His mother Sophia had been a teacher at Lincoln Teacher's Training School. Both parents were highly intelligent with some mathematical skills but, coming from poor families, had not been able to have a university education. Hardy (he was always known as Hardy except to one or two close friends who called him Harold) attended Cranleigh school up to the age of twelve with great success [6]:-
    His parents knew he was prodigiously clever, and so did he. He came top of his class in all subjects. But, as a result of coming top of his class, he had to go in front of the school to receive prizes: and that he could not bear.
    Hardy did not appear to have the passion for mathematics tha
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    G. H. Hardy

    British mathematician (1877–1947)

    Godfrey Harold HardyFRS[1] (7 February 1877 – 1 December 1947)[2] was an English mathematician, known for his achievements in number theory and mathematical analysis.[3][4] In biology, he is known for the Hardy–Weinberg principle, a basic principle of population genetics.

    G. H. Hardy is usually known by those outside the field of mathematics for his 1940 essay A Mathematician's Apology, often considered one of the best insights into the mind of a working mathematician written for the layperson.

    Starting in 1914, Hardy was the mentor of the Indian mathematician Srinivasa Ramanujan, a relationship that has become celebrated.[5] Hardy almost immediately recognised Ramanujan's extraordinary albeit untutored brilliance, and Hardy and Ramanujan became close collaborators.[6] 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.[7] In a lecture

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