Mathematics : Calculus

The Institute for Mathematical Sciences at the National University of Singapore hosted a research program on "Nanoscale Material Interfaces: Experiment, Theory and Simulation'' from November 2004 to January 2005. As part of the program, tutorials for graduate students and junior researchers were given by leading experts in the field. This invaluable volume collects the expanded lecture notes of four of those self-contained tutorials. The topics covered include dynamics in different models of domain coarsening and coagulation and their mathematical analysis in material sciences; a mathematical and computational study for quantized vortices in the celebrated Ginzburg–Landau models of superconductivity and the mean field Gross–Pitaevskii equations of superfluidity; the nonlinear Schrödinger equation and applications in Bose–Einstein condensation and plasma physics as well as their efficient and accurate computation; and finally, an introduction to constitutive modeling of macromolecular fluids within the framework of the kinetic theory. This volume serves to inspire graduate students and researchers who will embark upon original research work in these fields. more...

Price: $107.90

This treatment of Jacobi elliptic functions seeks to answer the fascinating question: 'what would the treatment of elliptic functions have been like if Abel had developed the ideas, rather than Jacobi?' A rich variety of applications of the elliptic and related functions are also presented. more...

Price: $36.00

Many recent advances in modelling within the applied sciences and engineering have focused on the increasing importance of sensitivity analyses. For a given physical, financial or environmental model, increased emphasis is now placed on assessing the consequences of changes in model outputs that result from small changes or errors in both the hypotheses and parameters. The approach proposed in this book is entirely new and features two main characteristics. Even when extremely small, errors possess biases and variances. The methods presented here are able, thanks to a specific differential calculus, to provide information about the correlation between errors in different parameters of the model, as well as information about the biases introduced by non-linearity. more...

Price: $69.95

This is part one of a two-volume work presenting a definitive and comprehensive treatment of the finite-dimensional variational inequality and complementarity problem. This volume covers the basic theory needed and should appeal to mathematicians, economists, and engineers working in the area. more...

Price: $89.95

Introduces applied mathematics through Fourier analysis, with applications to studying sampling theory, PDEs, probability, diffraction, musical tones, and wavelets. more...

Price: $64.00