Analysis I

Table of Contents

Part 1A Lent

This is the second term of the Cambridge Mathematical Tripos.

Course

  • No official notes but this is just typical Analysis
  • Example sheets

Recommended books

The books marked with † are well suited for the course and here that is the Burkill book

  • T.M. Apostol Calculus, vol 1. Wiley 1967-69
  • † J.C. Burkill A First Course in Mathematical Analysis. Cambridge University Press 1978
  • D.J.H.Garling A Course in Mathematical Analysis (Vol 1). Cambridge University Press 2013
  • J.B. Reade Introduction to Mathematical Analysis. Oxford University Press
  • M. Spivak Calculus. Addison–Wesley/Benjamin–Cummings 2006
  • David M. Bressoud A Radical Approach to Real Analysis. Mathematical Association of America Textbooks

Strategy

  • Read Gower's intro to 1A Analysis
  • MIT has recent lectures and uses the book Elementary Real Analysis (free) however I'm going to use the 'DRIPPED' version the same author's created meaning the Riemann integral is dumped for a more generalized integral the Henstock-Kurzeil integral and later in the book a full treatment of the Lebesgue measure-theoretic integral.

TODO

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