دانلود کتاب Mathematical analysis in engineering : how to use the basic tools

This book provides an introduction to those parts of analysis that are most useful in applications for graduate students. The material is selected for use in applied problems, and is presented clearly and simply but without sacrificing mathematical rigor. The text is accessible to students from a wide variety of backgrounds, including undergraduate students entering applied mathematics from non-mathematical fields and graduate students in the sciences and engineering who want to learn analysis. A basic background in calculus, linear algebra and ordinary differential equations, as well as some familiarity with functions and sets, should be sufficient "This user-friendly text shows how to use mathematics to formulate, solve, and analyze physical problems." "Rather than follow the traditional approach of stating mathematical principles and then citing some physical examples for illustration, the book puts applications at center stage; that is, it starts with the problem, finds the mathematics that suits it, and ends with a mathematical analysis of the physics. The emphasis throughout is on engineering applications rather than mathematical formalities." "Physical examples are selected primarily from applied mechanics, a field central to many branches of engineering and applied science, and they range from the simple to the more sophisticated. Among mathematical topics included in the book are Fourier series, separation of variables, Bessel functions, Fourier and Laplace transforms, Green's functions, and complex function theories. Also covered are advanced topics such as Riemann-Hilbert techniques, perturbation methods, and practical topics such as symbolic computation."--Jacket.  Read more...