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 Richard F. Bass
Lecture notes on mathematical finance - figuring out the price of options and derivatives. The text civers elementary probability, the binomial asset pricing model, advanced probability, the continuous model, and term structure models.
by Evans M. Harrell II, James V. Herod
This textbook is suitable for a first course on partial differential equations, Fourier series and special functions, and integral equations. The text concentrates on mathematical concepts rather than on details of calculations.
This book is about the inverse problems that take its roots in medical imaging and similar imaging methods from geophysics. The study was motivated by the needs of non-destructive and non-intrusive methods for imaging of hidden objects.
by James Nearing - Dover Publications
Infinite series, complex algebra, differential equations, Fourier series, vector spaces, operators and matrices, multivariable calculus, vector calculus, partial differential equations, numerical analysis, tensors, complex variables, and more.