Bøger af Mark S. Gockenbach

Ideal for graduates and researchers, this book covers the theory of Tikhonov regularization for linear inverse problems defined on Hilbert spaces.

Partial differential equations (PDEs) are essential for modelling many physical phenomena. This undergraduate textbook introduces students to the topic with a unique approach that emphasizes the modern finite element method alongside the classical method of Fourier analysis.

Linear algebra forms the basis for much of modern mathematics - theoretical, applied, and computational. Thsi book provides a foundation for the study of advanced mathematics and discusses applications of linear algebra to such diverse areas as combinatorics, differential equations, optimization, and approximation.

Essential reading for those interested in understanding both the theory and the implementation of the finite element method for equilibrium problems. This volume includes a carefully documented collection of MATLAB(R) programs implementing the ideas presented in the book.