Analysis II

The book is aimed at students of engineering who have mathematical knowledge in "Analysis I." It focuses on applications to technical, physical, and natural science problems. Unlike "Analysis I," this book covers differential calculus, integral calculus, and differential equations in two or three dimensions. The geometry of the domain in which a problem is considered is of crucial importance. Topics include extrema with constraints, integrals over regions, line integrals, surface integrals, fundamental concepts of vector analysis, as well as Green's, Gauss's, and Stokes' theorems. The final chapter provides an introduction to partial differential equations with the main problems: eigenvalue problems, boundary value problems, diffusion problems, and one-dimensional waves. A solution method is also...