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Discussions of miscellaneous mathematical topics.
https://www.dpmms.cam.ac.uk/~wtg10/mathsindex.html4 May 2004: Probability. New: Is Cambridge biased against state-school applicants?. ... Topology. Watch this space. Miscellaneous. This is a talk I gave to the new Cambridge University Society for the Philosophy of Mathematics and Mathematical Sciences.). -
Dynamical Systems (M24) Gabriel P. Paternain Dynamical Systems is ...
https://www.dpmms.cam.ac.uk/~gpp24/ds04.pdf22 Sep 2004: 3. B. Hasselblatt, A. Katok, A first course in dynamics. With a panorama of recent devel-opments, Cambridge University Press, New York, 2003. -
RESULTS IN FIRST PART OF METHODS ANDCALCULUS T.W.KÖRNER Definition…
https://www.dpmms.cam.ac.uk/~twk10/M2.pdf16 Nov 2004: But see part (ii) of Remark 66 below.)No new phenomena emerge in higher dimensions (n 3) but the cal-culations become a bit more complicated.We make the following remarks -
Is Cambridge biased?
https://www.dpmms.cam.ac.uk/~wtg10/biased.html5 May 2004: Why would this phenomenon suddenly stop when you got to the last two (new) grades? -
Topics in Combinatorics W.T. Gowers, F.R.S. Lent 2004 1 ...
https://www.dpmms.cam.ac.uk/~par31/notes/tic.pdf13 Nov 2004: Am as above and define a new sequence B1, B2,. , -
Introduction to Functional Analysis Part III, Autumn 2004 T. ...
https://www.dpmms.cam.ac.uk/~twk10/FA3.pdf21 Oct 2004: Cesàro’s summation method takes a sequence c0, c1, c2,. and replaces it with a new sequence whose nth term. ... that if the old sequence converges to c so does the new one.(ii) Examine what happens when cj = (1). -
ENTROPY AND COLLAPSING OF COMPACT COMPLEXSURFACES GABRIEL P.…
https://www.dpmms.cam.ac.uk/~gpp24/ccs.pdf27 Jan 2004: is a new topological obstruction to the existenceof metrics with vanishing topological entropy. ... Thewhole idea is that z will represent the new (n 1)-cohomology class represented byD. -
The philosophy of mathematics
https://www.dpmms.cam.ac.uk/~wtg10/philosophy.html20 Sep 2004: 3. ,. of subsets of N, and from those construct a new set A according to the rule. ... So we are not making new ontological commitments by introducing ordered pairs, or being asked to accept any new and unproved mathematical beliefs. -
Complex VariablePart III T. W. Körner June 9, 1999 ...
https://www.dpmms.cam.ac.uk/~twk10/CV3.pdf5 Oct 2004: p primepN. (. 1 1ps. )1. n=1. 1. ns. Using this result, we get a new proof of the existence of an infinity of primes. ... We now prove a new version of Euler’s formula. Theorem 81 (Euler-Dirichlet formula) With the notation of this sec-tion,. -
The language and grammar ofmathematics 1 Introduction It is ...
https://www.dpmms.cam.ac.uk/~wtg10/grammar.pdf7 Oct 2004: One, asabove, is to link two nouns whereas the other isto join two whole sentences together, as in “Marylikes Paris and Peter likes New York”. ... A second circumstance where it is hard to dowithout sets is when one is defining new mathe-matical -
Rings and Modules Old Syllabus for O4 T. W. ...
https://www.dpmms.cam.ac.uk/~twk10/Rings.pdf16 Nov 2004: Rings and Modules. Old Syllabus for O4. T. W. Körner. October 5, 2004. Small print The syllabus for the course is defined by the Faculty Board Schedules (which. are minimal for lecturing and maximal for examining). Please note that, throughout,
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