^^Timothy Gowers.

wp/Timothy Gowers


Per seguire un lungo lavoro fatto


The great thing about blogs is that they allow comments.

If you want to get rid of the other posts and just look at this series, then you can go to the Categories menu on the right-hand side of the page and click on “Cambridge teaching.” There will also be subcategories if you want to focus on posts about particular courses.

1. Mathematics becomes hard. Every mathematician will be able to tell you rather precisely when it was that they found that mathematics had stopped being an easy subject.

2. When the going gets tough, it is not some failing of yours. It simply means that, just like everybody else, you have to work. Unhelpful thing to say if it is not backed up with instructions about how to work.


how to come up with relatively routine proofs. To elaborate a little, there are a lot of arguments in mathematics that experienced mathematicians find very easy to think of, but beginners find much more difficult. What is it about the brains of experts that makes them find it so much easier? How can you convert your brain into that kind of brain? That is what I want to try to explain.


to know heart-rate information when you're working out and throughout the day

Basic logic — connectives — AND and OR

With a little bit of practice one can make basic logical deductions completely mechanically, and it is absolutely essential to learn how to do so.


  1. 2011/09/25/basic-logic-connectives-and-and-or
  2. 2011/09/26/basic-logic-connectives-not
  3. 2011/09/28/basic-logic-connectives-implies
  4. 2011/09/30/basic-logic-quantifiers
  5. 2011/10/02/basic-logic-relationships-between-statements-negation
  6. 2011/10/05/basic-logic-relationships-between-statements-converses-and-contrapositives
  7. 2011/10/07/basic-logic-tips-for-handling-variables
  8. 2011/10/09/basic-logic-summary
  9. 2011/10/11/injections-surjections-and-all-that
  10. 2011/10/13/domains-codomains-ranges-images-preimages-inverse-images
  11. 2011/10/16/permutations
  12. 2011/10/23/definitions
  13. 2011/10/25/alternative-definitions
  14. 2011/10/30/equivalence-relations
  15. 2011/10/31/how-might-we-get-to-a-new-model-of-mathematical-publishing
  16. 2011/11/03/a-more-modest-proposal
  17. 2011/11/06/group-actions-i
  18. 2011/11/09/group-actions-ii-the-orbit-stabilizer-theorem
  19. 2011/11/13/why-isnt-the-fundamental-theorem-of-arithmetic-obvious
  20. 2011/11/18/proving-the-fundamental-theorem-of-arithmetic
  21. 2011/11/20/normal-subgroups-and-quotient-groups
  22. 2011/11/25/group-actions-iii-whats-the-point-of-them
  23. 2011/11/28/a-short-post-on-countability-and-uncountability
  24. 2011/12/10/group-actions-iv-intrinsic-actions
  25. 2011/12/18/farewell-to-a-pen-friend
  26. 2012/01/17/sopa-my-part-in-its-downfall
  27. 2012/01/21/elsevier-my-part-in-its-downfall
  28. 2012/04/28/a-look-at-a-few-tripos-questions-i







Saltando qua e la'

You should treat equivalent properties as alternative definitions.

ref: 2011/alternative-definitions


high-schools have become a place where false self-esteem is developed, not education

ref: examples-first-ii


  1. 16-4-2020 How to lose your fear of tensor products
  2. welcome-to-the-cambridge-mathematical-tripos
  3. http://www.tricki.org a Wiki-style site with a large store of useful mathematical problem-solving techniques.


Azioni di un gruppo.





  1. Connettivi logici. AND OR NOT IF
  2. Sostituzioni matematiche.
  3. Gruppo quoziente. Gruppo semplice. Sottogruppo normale.
  4. Azioni di un gruppo


2cultures.pdf   problem_solvers  e  teorici