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A Man's Reach
https://www.dpmms.cam.ac.uk/~tef10/marshall.html17 Feb 2024: Marshall McLuhan. I never met Marshall McLuhan, tho' I met people who did, chiefly Barker Fairley (who once painted my portrait, which i still have). -
Department of Pure Mathematics and Mathematical Statistics
https://www.dpmms.cam.ac.uk/study/II/AlgebraicGeometry/4 Mar 2024: Algebraic Geometry - Part II. Algebraic Geometry - Part II. Example sheets. 2023-2024. DPMMS, Centre for Mathematical Sciences, Wilberforce Road, Cambridge CB3 0WB. Page last modified: Wednesday, 06-Mar-2019 13:39:31 GMT. -
Department of Pure Mathematics and Mathematical Statistics
https://www.dpmms.cam.ac.uk/study/IB/MarkovChains/19 Oct 2023: Markov Chains. Markov Chains. 2023-2024. DPMMS, Centre for Mathematical Sciences, Wilberforce Road, Cambridge CB3 0WB. Page last modified: Monday, 30-Jan-2017 11:59:26 GMT. -
Department of Pure Mathematics and Mathematical Statistics
https://www.dpmms.cam.ac.uk/study/IB/AnalysisandTopology/24 Nov 2023: Analysis and Topology. Analysis and Topology. Example sheets. 2023-2024. DPMMS, Centre for Mathematical Sciences, Wilberforce Road, Cambridge CB3 0WB. Page last modified: Friday, 23-Nov-2018 15:09:35 GMT. -
Department of Pure Mathematics and Mathematical Statistics
https://www.dpmms.cam.ac.uk/study/II/AnalysisofFunctions/26 Feb 2024: Analysis of Functions. Example sheets. 2023-2024. DPMMS, Centre for Mathematical Sciences, Wilberforce Road, Cambridge CB3 0WB. Page last modified: Thursday, 07-Mar-2019 09:30:46 GMT. -
Department of Pure Mathematics and Mathematical Statistics
https://www.dpmms.cam.ac.uk/study/IB/GroupsRings%2BModules/15 Jan 2024: Groups, Rings and Modules. Groups, Rings and Modules. Example sheets. 2023-2024. DPMMS, Centre for Mathematical Sciences, Wilberforce Road, Cambridge CB3 0WB. Page last modified: Wednesday, 06-Mar-2019 09:36:26 GMT. -
Mathematics
https://www.dpmms.cam.ac.uk/~tef10/postan.html13 Feb 2024: Von Neuman's answer: 500km. Ah'' says the puzzlemaster you did it the clever way; some people do it the long way, summing the series whose terms represent the successive legs -
Michael Oakeshott on Conservatism
https://www.dpmms.cam.ac.uk/~tef10/oakeshott.html13 Feb 2024: The Olympian, sagacious pose; the frivolous refusal to engage with the legitimate concerns of the people with whom you are contrasting yourself. -
Department of Pure Mathematics and Mathematical Statistics
https://www.dpmms.cam.ac.uk/study/II/Graphs/20 Sep 2023: Graph Theory. Graph Theory. Example sheets. 2023-2024. DPMMS, Centre for Mathematical Sciences, Wilberforce Road, Cambridge CB3 0WB. Page last modified: Thursday, 22-Nov-2018 13:18:51 GMT. -
Department of Pure Mathematics and Mathematical Statistics
https://www.dpmms.cam.ac.uk/study/II/LinearAnalysis/19 Oct 2023: Linear Analysis. Linear Analysis. Example sheets. 2023-2024. DPMMS, Centre for Mathematical Sciences, Wilberforce Road, Cambridge CB3 0WB. Page last modified: Monday, 30-Jan-2017 11:58:53 GMT. -
Department of Pure Mathematics and Mathematical Statistics
https://www.dpmms.cam.ac.uk/study/II/AppliedProbability/25 Jan 2024: Applied Probability. Applied Probability. 2023-2024. DPMMS, Centre for Mathematical Sciences, Wilberforce Road, Cambridge CB3 0WB. Page last modified: Monday, 22-Jan-2021 11:58:53 GMT. -
Homage to Catalonia
https://www.dpmms.cam.ac.uk/~tef10/orwell.html17 Feb 2024: Down the Ramblas, the wide central artery of the town where crowds of people streamed constantly to and fro, the loudspeakers were bellowing revolutionary songs all day and far into the -
Department of Pure Mathematics and Mathematical Statistics
https://www.dpmms.cam.ac.uk/study/II/FinancialModels/10 Oct 2023: Stochastic Financial Models. Stochastic Financial Models. Example sheets. 2023-2024. DPMMS, Centre for Mathematical Sciences, Wilberforce Road, Cambridge CB3 0WB. Page last modified: Thursday, 23-Feb-2017 09:40:15 GMT. -
Department of Pure Mathematics and Mathematical Statistics
https://www.dpmms.cam.ac.uk/study/II/NumberTheory/9 Oct 2023: Number Theory. Number Theory. Example sheets. 2023-2024. DPMMS, Centre for Mathematical Sciences, Wilberforce Road, Cambridge CB3 0WB. Page last modified: Friday, 30-Nov-2018 13:13:04 GMT. -
Department of Pure Mathematics and Mathematical Statistics
https://www.dpmms.cam.ac.uk/study/II/StatisticalModelling/27 Nov 2023: Statistical Modelling. Statistical Modelling. Example sheets. 2023-2024. DPMMS, Centre for Mathematical Sciences, Wilberforce Road, Cambridge CB3 0WB. Page last modified: Monday, 30-Jan-2017 11:58:53 GMT. -
Liszt Meets Beethoven
https://www.dpmms.cam.ac.uk/~tef10/liszt.html9 Apr 2024: You are a happy fellow, for you will give happiness and joy to many other people. -
If you don't know, say so!
https://www.dpmms.cam.ac.uk/~tef10/carol.html9 Apr 2024: Why is it that religious people. - unlike the rest of us — cannot simply admit that they haven't a clue? -
Department of Pure Mathematics and Mathematical Statistics
https://www.dpmms.cam.ac.uk/study/II/Probability%2BMeasure/11 Oct 2023: Probability and Measure. Probability and Measure. Example sheets. 2023-2024. DPMMS, Centre for Mathematical Sciences, Wilberforce Road, Cambridge CB3 0WB. Page last modified: Monday, 19-Nov-2018 13:36:41 GMT. -
Department of Pure Mathematics and Mathematical Statistics
https://www.dpmms.cam.ac.uk/study/II/RepresentationTheory/24 Nov 2023: Representation Theory. Representation Theory. Example sheets. 2023-2024. DPMMS, Centre for Mathematical Sciences, Wilberforce Road, Cambridge CB3 0WB. Page last modified: Thursday, 10-Jan-2019 14:35:13 GMT. -
Department of Pure Mathematics and Mathematical Statistics
https://www.dpmms.cam.ac.uk/study/IB/Optimization/17 Jul 2023: Optimization. Optimization. 2022-2023. Those supervising the course who require annotated versions of the examples sheets should email the lecturer. Example sheets from previous years. DPMMS, Centre for Mathematical Sciences, Wilberforce Road, -
Department of Pure Mathematics and Mathematical Statistics
https://www.dpmms.cam.ac.uk/study/IA/Numbers%2BSets/16 Nov 2023: Numbers and Sets. Numbers and Sets. Example sheets. 2023-2024. DPMMS, Centre for Mathematical Sciences, Wilberforce Road, Cambridge CB3 0WB. Page last modified: Monday, 26-Nov-2018 08:59:45 GMT. -
Department of Pure Mathematics and Mathematical Statistics
https://www.dpmms.cam.ac.uk/study/II/PrinciplesOfStatistics/2 Oct 2023: Principles of Statistics. Principles of Statistics. Example sheets. 2023-2024. DPMMS, Centre for Mathematical Sciences, Wilberforce Road, Cambridge CB3 0WB. Page last modified: Monday, 12-Nov-2018 16:01:28 GMT. -
Department of Pure Mathematics and Mathematical Statistics
https://www.dpmms.cam.ac.uk/study/II/TopicsinAnalysis/25 Oct 2023: Topics in Analysis. Topics in Analysis. 2023-2024. Course Notes including example sheets [Topic.pdf]. Proofs for some results in Topics in Analysis [DPMMS, Centre for Mathematical Sciences, Wilberforce Road, Cambridge CB3 0WB. Page last modified: -
Mandela on the HNP
https://www.dpmms.cam.ac.uk/~tef10/mandela.html19 Aug 2023: people in the grip of religious errors until some such time as we do, and that means tolerating religion. -
Bizet on Berlioz
https://www.dpmms.cam.ac.uk/~tef10/bizetonberlioz.html25 Nov 2023: And he HECTORS you all the time!) And his biggest fans—Liszt and Wagner in the first instance—were famously people with no taste at all. -
Thomas William Korner, Korner's Korner, Pleasures of Counting,…
https://www.dpmms.cam.ac.uk/~twk10/29 Jun 2024: There is no limit to what people will believe if they see it on the internet' Alan Turing 1936. -
Department of Pure Mathematics and Mathematical Statistics
https://www.dpmms.cam.ac.uk/study/II/Logic/previous.html31 Jan 2024: Logic and Set Theory. Logic and Set Theory. Example sheets. 2022-2023. 2021-2022. 2020-2021. 2019-2020. Example sheets from previous years. 2018 - 2019. 2017 - 2018. Example sheets from previous years. 2016 - 2017. 2015 - 2016. 2014 - 2015. 2012 - -
Department of Pure Mathematics and Mathematical Statistics
https://www.dpmms.cam.ac.uk/study/II/AutomataAndFormalLanguages/24 Nov 2023: Automata and Formal Languages -Part II. Automata and Formal Languages - Part II. Example sheets. 2023-2024. DPMMS, Centre for Mathematical Sciences, Wilberforce Road, Cambridge CB3 0WB. Page last modified: Monday, 26-Nov-2018 09:01:37 GMT. -
Department of Pure Mathematics and Mathematical Statistics
https://www.dpmms.cam.ac.uk/study/IA/Probability/archive.html11 Jan 2024: Study. Probability. Example sheets - Archive. 2022-2023. 2021-2022. 2020-2021. Supplementary material. 2017- 2018. 2016- 2017. 2008 - 2009. Examples sheet 1 last year's sheet. 2007 - 2008. Supplementary material from previous years. Prof Gowers's -
Department of Pure Mathematics and Mathematical Statistics
https://www.dpmms.cam.ac.uk/study/II/Coding/previous.html15 Jan 2024: Study. Coding and Cryptography. Coding and Cryptography. Example sheets from previous years. 2022-2023. 2021-2022. 2020-2021. 2019-2020. 2018 - 2019. 2017 - 2018. 2016 - 2017. 2015 - 2016. Supplementary material. Example sheets from previous years. -
Department of Pure Mathematics and Mathematical Statistics
https://www.dpmms.cam.ac.uk/study/IB/Geometry/previous.html25 Jan 2024: Geometry. Geometry. Example sheets. Example sheets from previous years. 2022-2023. 2021-2022. 2020-2021. 2019-2020. 2018 - 2019. 2017 - 2018. 2016 - 2017. 2015 - 2016. 2014 - 2015. 2013 - 2014. 2012 - 2013. Example sheet 1 (updated 8 Feb, 2012). -
Department of Pure Mathematics and Mathematical Statistics
https://www.dpmms.cam.ac.uk/study/II/NumberFields/previous.html2 Feb 2024: Number Fields. Number Fields. Example sheets from previous years. 2022-2023. 2021-2022. 2020-2021. 2019-2020. 2018 - 2019. 2017 - 2018. 2015 - 2016. 2014 - 2015. Example sheets from previous years. 2013 - 2014. 2012 - 2013. 2011 - 2012. 2010 - 2011. -
Department of Pure Mathematics and Mathematical Statistics
https://www.dpmms.cam.ac.uk/study/IA/AnalysisI/previous.html24 Jan 2024: Analysis I. Analysis I. Example sheets from previous years. 2022-2023. 2021-2022. 2020-2021. 2019-2020. 2018-2019. 2017-2018. Link to Andras Zsak page. 2016-2017. 2015-2016. 2014 - 2015. 2013 - 2014. 2012 - 2013. 2011 - 2012. 2010 - 2011. 2009 - -
Department of Pure Mathematics and Mathematical Statistics
https://www.dpmms.cam.ac.uk/study/II/AppliedProbability/previous.html25 Jan 2024: Applied Probability. Applied Probability. Example sheets from previous years. 2022-2023. 2021-2022. Dr Roland Bauerschmidt's teaching page. Professor Grimmet's teaching page. Dr Sousi's teaching page. DPMMS, Centre for Mathematical Sciences, -
Department of Pure Mathematics and Mathematical Statistics
https://www.dpmms.cam.ac.uk/study/IB/MarkovChains/previous.html18 Oct 2023: Markov Chains. Markov Chains. Example sheets from previous years. 2021-2022. 2019-2020. Supplementary material from previous years. Mich 2014). DPMMS, Centre for Mathematical Sciences, Wilberforce Road, Cambridge CB3 0WB. Page last modified: Monday, -
Department of Pure Mathematics and Mathematical Statistics
https://www.dpmms.cam.ac.uk/study/IA/Groups/previous.html5 Oct 2023: Study. Groups. Groups. Example sheets from previous years. 2022-2023. 2021-2022. 2020-2021. 2019-2020. 2018 - 2019. 2017 - 2018. 2016 - 2017. 2015 - 2016. 2014 - 2015. 2013 - 2014. 2012 - 2013. 2011 - 2012. updated 2 Nov, 2011. 2010 - 2011. 2009 - -
Department of Pure Mathematics and Mathematical Statistics
https://www.dpmms.cam.ac.uk/study/II/AnalysisofFunctions/previous.html17 Jan 2024: Analysis of Functions. Example sheets. 2022-2023. Example sheet 3 to follow. Example sheet 4 to follow. 2021-2022. 2020-2021. 2019-2020. Moodle site [raven login required]. Example sheets from previous years. 2018-2019. 2017-2018. past paper). -
Department of Pure Mathematics and Mathematical Statistics
https://www.dpmms.cam.ac.uk/study/IB/ComplexAnalysis/previous.html22 Jan 2024: Complex Analysis. Complex Analysis. Exercise sheets from previous years. 2022-2023. 2021-2022. 2020-2021. 2019-2020. 2018 - 2019. 2017 - 2018. 2016 - 2017. 2015 - 2016. Supplementary material. Prof. Scholl's teaching page. 2014 - 2015. 2013 - 2014. -
Department of Pure Mathematics and Mathematical Statistics
https://www.dpmms.cam.ac.uk/study/II/Riemann/previous.html12 Oct 2023: Riemann Surfaces. Riemann Surfaces. Example sheets from previous years. 2022-2023. 2021-2022. 2020-2021. 2019-2020. 2018 - 2019. 2017 - 2018. 2016 - 2017. Supplementary material. Prof Paternain's teaching page. Example sheets from previous years. -
Department of Pure Mathematics and Mathematical Statistics
https://www.dpmms.cam.ac.uk/study/II/AlgebraicGeometry/previous.html26 Jan 2024: Algebraic Geometry - Part II. Algebraic Geometry - Part II. Example sheets from previous years. 2021-2022. 2020-2021. 2019-2020. 2018 - 2019. Supplementary material. Handout defining varieties and morphisms. 2017 - 2018. 2016-2017. 2015-2016. -
Department of Pure Mathematics and Mathematical Statistics
https://www.dpmms.cam.ac.uk/study/II/Graphs/previous.html20 Sep 2023: Graph Theory. Graph Theory. Example sheets from previous years. 2022-2023. 2021-2022. 2020-2021. 2019-2020. 2018-2019. 2017-2018. 2016-2017. 2015-2016. 2014-2015. 2013-2014. 2012-2013. 2011-2012. corrected 17 Nov, 2011). 2010-2011. 2009 - 2010. 2008 -
Department of Pure Mathematics and Mathematical Statistics
https://www.dpmms.cam.ac.uk/study/II/Galois/previous.html10 Oct 2023: Galois Theory. Galois Theory. Example sheets from prevous years. 2022-2023. 2021-2022. Example sheet 1 (same as last year). Example sheet 2 (same as last year). Example sheet 3 (same as last year). Example sheet 4 (same as last year). 2020-2021. -
Department of Pure Mathematics and Mathematical Statistics
https://www.dpmms.cam.ac.uk/study/II/FinancialModels/previous.html10 Oct 2023: Stochastic Financial Models. Stochastic Financial Models. Example sheets from previous years. 2022-2023. 2021-2022. 2020-2021. 2019-2020. See Professor Norris's teaching page. 2016 - 2017. 2013 - 2014. Supplementary material. Prof. Rogers' lecture -
Department of Pure Mathematics and Mathematical Statistics
https://www.dpmms.cam.ac.uk/study/II/LinearAnalysis/previous.html11 Oct 2023: Linear Analysis. Linear Analysis. Example sheets from previous years. 2022-2023. 2021-2022. 2020-2021. 2019-2020. 2016 - 2017. 2013 - 2014. Supplementary material. Example sheets from previous years. 2012 - 2013. 2004 - 2005. DPMMS, Centre for -
Department of Pure Mathematics and Mathematical Statistics
https://www.dpmms.cam.ac.uk/study/II/NumberTheory/previous.html9 Oct 2023: Number Theory. Number Theory. Example sheets from previous years. 2022-2023. 2021-2022. 2020-2021. Example sheets from previous years. 2019-2020. 2018-2019. 2017-2018. 2016-2017. 2015 - 2016. 2014 - 2015. Example sheets from previous years. 2013 - -
Department of Pure Mathematics and Mathematical Statistics
https://www.dpmms.cam.ac.uk/study/II/AlgebraicTopology/previous.html16 Jan 2024: Algebraic Topology. Algebraic Topology - Part II. Example sheets from previous years. 2022-2023. 2020-2021. 2019-2020. 2019-2020. Handout: The proof of the Homotopy Lifting Lemma. 2018 - 2019. 2017 - 2018. 2016 - 2017. Supplementary material. Free -
Department of Pure Mathematics and Mathematical Statistics
https://www.dpmms.cam.ac.uk/study/IB/AnalysisandTopology/previous.html10 Oct 2023: Analysis and Topology. Analysis and Topology - Example sheets from previous years. Example sheets. 2022-2023. 2021-2022. 2020-2021. 2019-2020. DPMMS, Centre for Mathematical Sciences, Wilberforce Road, Cambridge CB3 0WB. Page last modified: Friday, -
Department of Pure Mathematics and Mathematical Statistics
https://www.dpmms.cam.ac.uk/study/IB/Optimization/previous.html17 Jul 2023: Optimization. Optimization. Example sheets from previous years. 2021-2022. 2020-2021. 2019-2020. 2018 - 2019. Lecture Notes. [These notes are designed for students who attended the course from 2018, and being examined in 2019.]. 2016 - 2017. -
Department of Pure Mathematics and Mathematical Statistics
https://www.dpmms.cam.ac.uk/study/II/TopicsinAnalysis/previous.html25 Oct 2023: Topics in Analysis. Topics in Analysis. Example sheets from previous years. 2022-2023. Course Notes including example sheets [Topic.pdf]. Proofs for some results in Topics in Analysis [Caesar.pdf]. The exercise sheets for this course form Sections -
Department of Pure Mathematics and Mathematical Statistics
https://www.dpmms.cam.ac.uk/study/IA/Numbers%2BSets/previous.html12 Oct 2023: Numbers and Sets. Numbers and Sets. Example sheets from previous years. 2022-2023. 2021-2022. 2020-2021. 2019-2020. 2018 - 2019. 2017 - 2018. 2016 - 2017. 2015 - 2016. 2014 - 2015. 2013 - 2014. 2012 - 2013. 2011 - 2012. 2010 - 2011. Example sheet 1
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