Mathematical Physics: Applied Mathematics for Scientists and Engineers (repost)
Mathematical Physics: Applied Mathematics for Scientists and Engineers by Bruce R. Kusse and Erik A. Westwig
English | 2006 | ISBN: 3527406727 | 689 pages | PDF | 10 MB
English | 2006 | ISBN: 3527406727 | 689 pages | PDF | 10 MB
What sets this volume apart from other mathematics texts is its emphasis on mathematical tools commonly used by scientists and engineers to solve real-world problems. Using a unique approach, it covers intermediate and advanced material in a manner appropriate for undergraduate students.
Based on author Bruce Kusse's course at the Department of Applied and Engineering Physics at Cornell University, Mathematical Physics begins with essentials such as vector and tensor algebra, curvilinear coordinate systems, complex variables, Fourier series, Fourier and Laplace transforms, differential and integral equations, and solutions to Laplace's equations. The book moves on to explain complex topics that often fall through the cracks in undergraduate programs, including the Dirac delta-function, multivalued complex functions using branch cuts, branch points and Riemann sheets, contravariant and covariant tensors, and an introduction to group theory. This expanded second edition contains a new appendix on the calculus of variation – a valuable addition to the already superb collection of topics on offer.