Lectures on Numerical Methods in Bifurcation Problems
by H.B. Keller
Publisher: Tata Institute Of Fundamental Research 1986
Number of pages: 140
These lectures introduce the modern theory of continuation or path following in scientific computing. Almost all problem in science and technology contain parameters. Families or manifolds of solutions of such problems, for a domain of parameter variation, are of prime interest.
Download or read it online for free here:
by M. Abramowitz, I. A. Stegun - GPO
Students and professionals in the fields of mathematics, physics, engineering, and economics will find this reference work invaluable. A classic resource for special functions, standard trig, and exponential logarithmic definitions and extensions.
by George Benthien
Tutorial describing many of the standard numerical methods used in Linear Algebra. Topics include Gaussian Elimination, LU and QR Factorizations, The Singular Value Decomposition, Eigenvalues and Eigenvectors via the QR Method, etc.
by Svein Linge, Hans Petter Langtangen - Springer
This book presents Python programming as a key method for solving mathematical problems. The style is accessible and concise, the emphasis is on generic algorithms, clean design of programs, use of functions, and automatic tests for verification.
by K. Nandakumar - University of Alberta
Contents: On mathematical models; Single nonlinear algebraic equation; System of linear and nonlinear algebraic equations; Numerical differentiation and integration; Ordinary differential equations; Boundary value problems; etc.