Many textbooks on continuum mechanics plunge students in at the "deep end" of three-dimensional analysis and applications. However a striking number of commonplace models of our physical environment are based entirely within the dynamics of a one-dimensional continuum. This introductory text therefore approaches the subject entirely within such a one-dimensional framework. The principles of the mathematical modelling of one-dimensional media constitute the book's backbone. These concepts are elucidated with a diverse selection of applications, ranging from tidal dynamics and dispersion in...

Modern financial mathematics relies on the theory of random processes in time, reflecting the erratic fluctuations in financial markets. This book introduces the fascinating area of financial mathematics and its calculus in an accessible manner for undergraduate students. Using little high-level mathematics, the author presents the basic methods for evaluating financial options and building financial simulations. By emphasising relevant applications and illustrating concepts with colour graphics, Elementary Calculus of Financial Mathematics presents the crucial concepts needed to understand...

A book that explores the derivation of multiscale models for dynamical systems, partnering algebra and geometry with a visual approach.