Basic Maths#

Table of contents#

  1. Logic and proof

  2. Sets

  3. Functions

  4. Elementary functions 1

  5. 5_composition_and_inverse

  6. 6_elementary_functions_2

  7. Coordinate systems

  8. Vectors

References and further reading#

Coordinate Systems and Vectors sessions:

  • Lecture 1 of the “Mathematics Methods 1” module

A light introduction to topics covered in this section:

  • Devlin, K., 2003. Sets, functions, and logic: an introduction to abstract mathematics. CRC Press.

A very novice-friendly book with good visualisations and plenty of exercise problems with solutions:

  • Briggs, W.L., Cochran, L., Gillett, B. and Schulz, E.P., 2013. Calculus for scientists and engineers: early transcendentals. Pearson Education.

An extensive collection of problems of all levels:

  • Demidovich, B.P. and Baranenkov, G.S., 1964. Problems in mathematical analysis. Peace Publishers.