A Basic Course in Applied Mathematics
by J. Bystrom, L. Persson, F. Stromberg
Publisher: Lulea University of Technology 2010
Description:
Topics covered: dimensional analysis and scaling; perturbation methods; the calculus of variations; the theory of partial differential equations; Sturm-Liouville theory, the theory for the corresponding generalized Fourier series and some further methods for solving PDE; transform theory with applications; Hamiltonian theory and isoperimetric problems; the theory of integral equations; the theory of dynamical systems, chaos, stability and bifurcations; discrete mathematics.
Download or read it online for free here:
Read online
(online reading)
Similar books
Math Aliveby Ingrid Daubechies, Shannon Hughes - Princeton University
Designed for those who haven't had college mathematics but would like to understand some applications: Cryptography; Error correction and compression; Probability and Statistics; Birth, Growth, Death and Chaos; Graph Theory; Voting and Social Choice.
(6656 views)
Mathematical Methodsby 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.
(16918 views)
Derivations of Applied Mathematicsby Thaddeus H. Black - Debian Project
The book deals with applied mathematical proofs. It emphasizes underlying mathematical motivation, without full mathematical rigor. Mathematical results are derived from applied perspective of the engineer and the scientist.
(17629 views)
Chebyshev and Fourier Spectral Methodsby 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.
(13189 views)