Advanced Methods in Applied Mathematics

by Richard Courant

Explore the math behind vibrations, waves, and structural design with practical methods you can actually apply.

This edition presents how differential equations model physical systems, from vibrating strings to membranes and plates, using clear steps and numerical approaches.

This text emphasizes variational methods as a powerful tool for solving complex problems in engineering and physics. It connects theory to concrete problems, showing how energy principles lead to practical solutions and reliable approximations. See how boundary and initial conditions shape solutions for strings, membranes, and plates. Learn the Rayleigh-Ritz method and other variational techniques for numerical results. Understand Green's functions, Poisson equations, and the role of eigen-values in vibrations. Explore the link between continuous systems and finite-degree models through energy principles. Ideal for readers of applied mathematics, engineering math, or anyone seeking a solid foundation in variational methods and their engineering applications.

404 pages, Paperback

Published September 8, 2018

About the author

Richard Courant (January 8, 1888 – January 27, 1972) was a German American mathematician. He is best known by the general public for the book What is Mathematics?, co-written with Herbert Robbins.