Functional Analysis Calculus of Variations and Numerical Methods for Models in Physics and Engineering

<p>The book discusses basic concepts of functional analysis measure and integration theory calculus of variations and duality and its applications to variational problems of non-convex nature such as the Ginzburg-Landau system in superconductivity shape optimization models dual variational formulations for micro-magnetism and others. Numerical Methods for such and similar problems such as models in flight mechanics and the Navier-Stokes system in fluid mechanics have been developed through the generalized method of lines including their matrix finite dimensional approximations. It concludes with a review of recent research on Riemannian geometry applied to Quantum Mechanics and Relativity.</p><p>The book will be of interest to applied mathematicians and graduate students in applied mathematics. Physicists engineers and researchers in related fields will also find the book useful in providing a mathematical background applicable to their respective professional areas.</p>