New PDF release: A Mathematician's Miscellany

By JE Littlewood

CONTENTS
========

MATHEMATICS WITH minimal uncooked MATERIAL
FROM THE MATHEMATICAL TRIPOS
CROSS-PURPOSES, subconscious ASSUMPTIONS, HOWLERS, MISPRINTS, ETC.
THE ZOO
BALLISTICS
THE drawback OF likelihood THEORY
FROM FERMAT'S final THEOREM TO THE ABOLITION OF CAPITAL PUNISHMENT
A MATHEMATICAL EDUCATION
REVIEW OF RAMANUJAN'S accrued PAPERS
THREE REVIEWS
NEWTON AND THE charm OF A SPHERE
LARGE NUMBERS
THE DISCOVERY OF NEPTUNE
THE ADAMS-AIRY AFFAIR
'LION AND guy'

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Cambridge along the Coton footpath the hippopotamus that the result ' (Fig. 13, 1 a well-known So well-known, in liberties with him. fact, 1 ' character in the theory of that my artist does not feel ' prime- he can take THE ZOO 47 but only now baptised in imitation of the crocodile) my mind from nowhere. He did not quite do the trick (or so I thought), but a couple of hundred yards on he switched to a crocodile. e. for n>n (P)) gets into a bounded domain A and stays there. The hedgehog. e. the closure A of A is contained in A_^).

1915) I was orderly officer for a large Artillery camp with many N FIG. 16 senior officers (but no professional ballisticians). Lying on the office table was the above figure and enough symbols was about. A day or so afterwards a Colonel it was possible to find the position of V. I gravely reproduced the argument, and as it was new to him it amused me to say no more. ) 18. Rockets. and a constant The force trajectory of a particle under gravity an old toy of particle dynamics. is Theoretically the trajectory cannot be started from rest except vertically.

Let D be any closed bounded domain. Is it the case that T n P converges uniformly into A+ for all FIG. e. T n 5 C A + for n>n (D)) ? Everyone's first guess the yes (and corresponding thing is true in 1 dimensions), is in fact no. For this Miss Cartwright and I but the answer found the example of Fig. 14. ) which leaves the hedgehog (the figure of full lines) invariant as a whole, but transforms each spine into the next one to the right, and further imposes a general contraction of outside points towards the boundary of the hedgehog.

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A Mathematician's Miscellany by JE Littlewood


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