Ebook: Applied Analysis: Mathematical Methods in Natural Science

Senba (Miyazaki U.) and Suzuki (Osaka U.) provide an introduction to applied mathematics in various disciplines. Topics include geometric objects, such as basic notions of vector analysis, curvature and extremals; calculus of variation including isoperimetric inequality, the direct and indirect methods, and numerical schemes; infinite dimensional analysis, including Hilbert space, Fourier series, eigenvalue problems, and distributions; random motion of particles, including the process of diffusion, the kinetic model, and semiconductor device equations; linear and non-linear PDE theories; and the system of chemotaxis. Appendices include a catalog of mathematical theories and commentary on elliptic and parabolic equations and systems of self-interacting particles. Distributed by World Scientific.