The G. H. Hardy Reader

Donald J. Albers served as Director of Publications and Associate Executive Director of the Mathematical Association of America (MAA) from 1991–2006 and Editorial Director of MAA Books from 2006–12. He was Editor of The College Mathematics Journal and Founding Editor of Math Horizons. He has written or co-authored six books, including Mathematical People and Fascinating Mathematical People – both with G. L. Alexanderson. Prior to his association with the MAA, he was Professor of Mathematics and Special Assistant to the President of Menlo College. Gerald L. Alexanderson is the Valeriote Professor of Science at Santa Clara University, California, where he has taught mathematics since developing an interest in problems under the guidance of George Pólya and enthusiasm for analytic number theory from a course with Gábor Szegö at Stanford. Long active in the Mathematical Association of America he has served as Secretary and as President, as well as Editor of Mathematics Magazine. He is author of many articles and reviews, and has co-authored or co-edited textbooks, problem collections, books of interviews, as well as biographies and books on history. William Dunham served as Koehler Professor of Mathematics at Muhlenberg College (emeritus, 2014) and taught mathematics history as a visiting professor at Harvard University, Princeton University, the University of Pennsylvania, and Cornell University. In 2009, he was a visiting scholar at the University of Cambridge, and the following year he recorded the DVD course 'Great Thinkers, Great Theorems' for The Teaching Company. He is the author of four books: Journey through Genius (1990), The Mathematical Universe (1995), Euler: The Master of Us All (1999), and The Calculus Gallery (2005). Dunham is currently a Research Associate in Mathematics at Bryn Mawr College, Pennsylvania.

Part I. Biography: 1. Hardy's life; 2. The letter from Ramanujan to Hardy, 16 January 1913; 3. A letter from Bertrand Russell to Lady Ottoline Morrell, 2 February 1913; 4. The Indian mathematician Ramanujan; 5. Epilogue from the man who knew infinity; 6. Posters of 'Hardy's years at Oxford'; 7. A glimpse of J. E. Littlewood; 8. A letter from Freeman Dyson to C. P. Snow, 22 May 1967, and two letters from Hardy to Dyson; 9. Miss Gertrude Hardy; Part II. Writings by and about G. H. Hardy: 10. Hardy on writing books; 11. Selections from Hardy's writings; 12. Selections from what others have said about Hardy; Part III. Mathematics: 13. An introduction to the theory of numbers; 14. Prime numbers; 15. The theory of numbers; 16. The Riemann zeta-function and lattice point problems; 17. Four Hardy gems; 18. What is geometry?; 19. The case against the mathematical tripos; 20. The mathematician on cricket; 21. Cricket for the rest of us; 22. A mathematical theorem about golf; 23. Mathematics in war-time; 24. Mathematics; 25. Asymptotic formulæ in combinatory analysis (excerpts) with S. Ramanujan; 26. A new solution of Waring's problem (excerpts), with J. E. Littlewood; 27. Some notes on certain theorems in higher trigonometry; 28. The Integral _∞0sin xx dx and further remarks on the integral _∞0sin xx dx; Part IV. Tributes: 29. Dr. Glaisher and the 'messenger of mathematics'; 30. David Hilbert; 31. Edmund Landau (with H. Heilbronn); 32. Gösta Mittag-Leffler; Part V. Book Reviews: 33. Osgood's calculus and Johnson's calculus; 34. Hadamard: the psychology of invention in the mathematical field; 35. Hulburt: differential and integral calculus; 36. Bôcher: an introduction to the study of integral equations.