## Tags » Gowers

#### An Amazing Tutorial

Today’s run was a bit shorter than normal…Sarah and I both were feelin’ the cold, and she needed to work on her paper due at 11 am anyway … 329 more words

#### Introduction to Cambridge IA Analysis I 2014

This term I shall be giving Cambridge’s course Analysis I, a standard first course in analysis, covering convergence, infinite sums, continuity, differentiation and integration. This post is aimed at people attending that course. 3,506 more words

Cambridge Teaching

tomcircle reblogged this on Math Online Tom Circle and commented:

Prof Timothy Gowers is the Cambridge Professor who won the 1998 Fields Medal. Surprisingly he teaches such "low level" undergrad course (Analysis I), but he takes a higher-level approach to tackle the subject with much deeper and broader view. A master can teach the same subject with a 'helicopter' view than an ordinary prof who only confuses the students with over-detailed views of 'trees' without letting them see the 'forest'. (见树不见林). For example, Prof Gowers brilliantly points out that Analysis is all about Real Number Structure with ONLY 1 AXIOM : Least Upper Bound. I really enjoy Prof Gowers's blog. He is the man whom David Hilbert was looking for : "The Pied Piper", able to bring complicated Math down approachable to the ordinary men on the streets. Abel also advised us, "Read Direct from the Masters". Prof Gowers is the Master. 行家一出手, 便知有没有. http://gowers.wordpress.com/2014/01/11/introduction-to-cambridge-ia-analysis-i-2014/ -----------------♢♢♢♢♢♢♢------------ Note: I have a 'lay-man' analogy of the "Least Upper Bound" of Real Number (or the scary name: Complete Ordered Field). Example: The Bible said God gave the descendants of Noah (i.e. include all mankind now) after The Flood a life span of maximum 120 years. This week the Hong Kong Movie tycoon, billionaire and philanthropist, Sir Run Run Shaw, died at 107 years-old. His Life Span = (0,120), but his extraordinary Least Upper Bound is 107 :) Prof Gowers, do you agree with my analogy for non-mathematicians ?