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.
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by Mihir Sen, Joseph M. Powers - University of Notre Dame
Multidimensional calculus, linear analysis, linear operators, vector algebra, ordinary differential equations. Directed at first year graduate students in engineering and undergraduates who wish to become better prepared for graduate studies.
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 John P. Boyd - Dover Publications
The text focuses on use of spectral methods to solve boundary value, eigenvalue, and time-dependent problems, but also covers Hermite, Laguerre, rational Chebyshev, sinc, and spherical harmonic functions, cardinal functions, etc.
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.