Linear Methods of Applied Mathematics
by Evans M. Harrell II, James V. Herod
This online 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, which are often done with software, such as Maple or Mathematica.
Home page url
Download or read it online for free here:
by Erhan Cinlar, Robert J. Vanderbei
This text covers general notions regarding sets, functions, sequences, and series; metric spaces, convergence, continuity, approximations; functions on metric spaces; differential and integral equations; convex analysis; measure and integration.
by Chiara Guardasoni - Ledizioni LediPublishing
The aim of this thesis is to developed an efficient procedure for the application of BEM to transient scalar wave propagation problems, investigating the coerciveness property of the related energy functional, avoiding the frequency domain analysis.
by Marcus Pivato - Trent University
An introduction to social choice theory, which uses mathematics to study the strengths/weaknesses of voting systems, arbitration schemes, and other methods of group decision making. Lots of pictures, requires only basic linear algebra.
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.