Mathematician:Godfrey Harold Hardy
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Mathematician
English mathematician noted for his work in number theory and analysis.
Also famous for his discovery and mentorship of Srinivasa Aiyangar Ramanujan.
Non-mathematicians remember him mainly for his book A Mathematician's Apology.
Nationality
English
History
- Born: February 7, 1877, Cranleigh, Surrey, England
- Died: December 1, 1947, Cambridge, Cambridgeshire, England
Theorems and Definitions
- Critical Line Theorem
- Hardy Notation
- Hardy Space
- Pisot-Vijayaraghavan Number (named for Charles Pisot and Tirukkannapuram Vijayaraghavan)
- Hardy's Inequality
- Hardy's Theorem
- Hardy-Littlewood Tauberian Theorem (with John Edensor Littlewood)
- First Hardy-Littlewood Conjecture (with John Edensor Littlewood)
- Second Hardy-Littlewood Conjecture (with John Edensor Littlewood)
- Fifth Hardy-Littlewood Conjecture (with John Edensor Littlewood)
- With Wilhelm Weinberg:
- Hardy-Hille Formula (with Carl Einar Hille)
- Hardy-Littlewood Maximal Inequality (with John Edensor Littlewood)
- Hardy-Littlewood Circle Method (with John Edensor Littlewood)
- Hardy-Ramanujan Number (with Srinivasa Aiyangar Ramanujan)
Results named for Godfrey Harold Hardy can be found here.
Definitions of concepts named for Godfrey Harold Hardy can be found here.
Publications
- 1914: Sur les Zéros de la Fonction $\map \zeta s$ de Riemann (C.R. Acad. Sci. Vol. 158: pp. 1012 – 1014)
- 1915: The General Theory of Dirichlet's Series (with Marcel Riesz)
- 1916: The Integration of Functions of a Single Variable
- 1921: The zeros of Riemann's zeta-function on the critical line (Math. Z. Vol. 10: pp. 3 – 4) (with J.E. Littlewood)
- 1923: Some problems of ‘Partitio numerorum’; III: On the expression of a number as a sum of primes (Acta Math. Vol. 44: pp. 1 – 70) (with J.E. Littlewood)
- 1927: Collected Papers of Srinivasa Ramanujan (as editor, with P.V. Seshu Aiyar and B.M. Wilson)
- 1934: Inequalities (with J.E. Littlewood and G. Pólya)
- 1938: An Introduction to the Theory of Numbers (with E.M. Wright)
- 1940: A Mathematician's Apology
- 1940: Ramanujan
- 1949: Divergent Series
- 1966: Collected papers of G.H. Hardy (including joint papers with J.E. Littlewood and others)
Notable Quotes
- A mathematician, like a painter or poet, is a maker of patterns. If his patterns are more permanent than theirs, it is because they are made with ideas.
- -- Quoted in the Preface to 1992: George F. Simmons: Calculus Gems
Sources
- John J. O'Connor and Edmund F. Robertson: "Godfrey Harold Hardy": MacTutor History of Mathematics archive
- 1986: David Wells: Curious and Interesting Numbers ... (previous) ... (next): A List of Mathematicians in Chronological Sequence
- 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): A List of Mathematicians in Chronological Sequence
- 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): Hardy, Godfrey Harold (1877-1947)
- 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): Hardy, Godfrey Harold (1877-1947)
- 2014: Christopher Clapham and James Nicholson: The Concise Oxford Dictionary of Mathematics (5th ed.) ... (previous) ... (next): Hardy, Godfrey Harold (1877-1947)