Mathematical analysis for engineers (Q2890501)

This book is an advanced course in analysis for engineers. The first three parts represent the theoretical aspects and the authors give rigoros definitions and theorems but no comments or proofs. They treat the topics vector analysis (differential operators of mathematical physics, line integrals, gradient vector fields, Green's theorem, surface integrals, divergence theorem and Stokes' theorem), complex analysis (holomorphic functions and Cauchy-Riemann equations, complex integration, Laurent series, residue theorem and applications and conformal mapping) and Fourier analysis (Fourier series, Fourier transform, Laplace transform, applications to ordinary and partial differential equations). The fourth part (about half of the book) gives detailed solutions of all exercises that are proposed in the first three parts.