Download A Mathematician's Miscellany by JE Littlewood PDF

By JE Littlewood

CONTENTS
========

MATHEMATICS WITH minimal uncooked MATERIAL
FROM THE MATHEMATICAL TRIPOS
CROSS-PURPOSES, subconscious ASSUMPTIONS, HOWLERS, MISPRINTS, ETC.
THE ZOO
BALLISTICS
THE hindrance 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 allure OF A SPHERE
LARGE NUMBERS
THE DISCOVERY OF NEPTUNE
THE ADAMS-AIRY AFFAIR
'LION AND guy'

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8. 22, 285-287). In Besicovitch's case it is a foil to his previous problem there he annihilated something; here he does the opposite the answer is infinity. ; ; The question recently arose in conversation dissertation of 2 lines could deserve I had answered this for whether a and get a Fellowship. myself long before ; in mathematics the answer is yes. * Cayley's projective definition of length is a clear case if we may interpret 2 lines with reasonable latitude. With ' ' Picard's Theorem it could be literally 2, one of statement, one of proof.

G. be that of the date (read as degrees, minutes, of the tangent seconds 28 12' 52" for Dec. 28, 1952). This rule could be in clear ; ' ' : carried in the head, with nothing on paper to be stolen or betrayed. If any one thinks there is a possibility of the scheme being guessed he could modify 26 to 21 and use a date one week earlier than the one given in clear. entire 1 I 2 A am using the word cipher as the plain shift of $-*2 turns ' k ' into * m ' ' ', z man mto understands * 6 '. it. From the Mathematical Tripos It is always pleasant to find others doing the silly one does oneself.

This sort of pictoriality does not from a convention But ' like SW corner ', differ in status now fully acclimatized. pictorial arguments, while not so purely conventional, ' can be quite legitimate. Take the theorem 1 f(x)=o(I) as 3-* oo and jT=0(l) imply /'=o(l) '. If f'^o(l) the graph y=f'(x) will for some arbitrarily large x have peaks (above or below y=0) enclosing triangles like PQR, the height of P not small, the slopes of PQ, PR not large, and so the area PQR not small. Thenf(Q)f(R) is not small, contradicting /=o(l).

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