But it does give a reasonable snapshot of the world of mathematics in the period, roughly, from to Littlewood begins almost immediately with this: "Anyone open to the idea of looking through a popular book on mathematics should be able to get on with this one. The latter is definitely a "popular" work, in terms of both subject matter and technical level, while the Miscellany is not. Except for some catty gossip about academic life in England in the early decades of the 20th century, and the people e. In all fairness, I think that only people with a strong interest in mathematics will find much in the Miscellany to hold their attention.
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In , after completing the second part of the Tripos, he started his research under Ernest Barnes. He was appointed Rouse Ball Professor of Mathematics in , retiring in Littlewood died on 6 September He began research under the supervision of Ernest William Barnes , who suggested that he attempt to prove the Riemann hypothesis : Littlewood showed that if the Riemann hypothesis is true then the prime number theorem follows and obtained the error term.
This work won him his Trinity fellowship. He continued to write papers into his eighties, particularly in analytical areas of what would become the theory of dynamical systems.
Spencer reported that in when he Spencer was about to get on the boat that would take him home to the United States, Littlewood reminded him: "n, n alpha, n beta! In his other work, he collaborated with Raymond Paley on Littlewood—Paley theory in Fourier theory , and with Cyril Offord in combinatorial work on random sums, in developments that opened up fields that are still intensively studied.
He worked with Mary Cartwright on problems in differential equations arising out of early research on radar : their work foreshadowed the modern theory of dynamical systems. Littlewood collaborated for many years with G. Together they devised the first Hardy—Littlewood conjecture , a strong form of the twin prime conjecture , and the second Hardy—Littlewood conjecture.
He also, with Hardy, identified the work of the Indian mathematician Srinivasa Ramanujan as that of a genius, and supported him in travelling to the UK and working at Cambridge.
A Mathematicians Miscellany
Eudoxia marked it as to-read Aug 19, Want to Read saving…. All that said, the Miscellany is littpewood very much worth reading for the seriously mathematically curious. An Interplay of the Continuous and the Goodreads helps you keep track of books you want to read. No trivia or quizzes yet. Not a quick read; at times a bit too technical for mw. Nate marked it as to-read Oct 12, Naes rated it did not like it Sep 16, But it does give a reasonable snapshot of the world of mathematics in the period, roughly, from to The latter niscellany topics such as analysis properties of real- and complex-valued functionsdifferential equations, and algebraic structures such as groups, rings, littlewoood matrices.
John Edensor Littlewood