by Sanjoy Mahajan
Publisher: The MIT Press 2010
Number of pages: 153
This course teaches the art of guessing results and solving problems without doing a proof or an exact calculation. Techniques include extreme-cases reasoning, dimensional analysis, successive approximation, discretization, generalization, and pictorial analysis. Applications include mental calculation, solid geometry, musical intervals, logarithms, integration, infinite series, solitaire, and differential equations.
Home page url
Download or read it online for free here:
by Simon A. Levin
This report explores the interface between biology and mathematics. It argues that the stimulation of biological application will enrich the discipline of mathematics for decades or more, as have applications from the physical sciences in the past.
by Dave Benson - Cambridge University Press
An introduction to the subject of music and mathematics, which includes physics, psycho-acoustics, biology, and the history of science and digital technology. It covers the structure of the human ear, Fourier analysis, musical instruments, and more.
by Baoding Liu - Tsinghua University
Uncertainty theory is a branch of mathematics based on normality, monotonicity, self-duality, countable subadditivity, and product measure axioms. Uncertainty is any concept that satisfies the axioms of uncertainty theory ...
by Andrew Fowler - University of Oxford
This course develops mathematical techniques which are useful in solving 'real-world' problems involving differential equations. The course embraces the ethos of mathematical modelling, and aims to show in a practical way how equations 'work'.