Calculus of Variations with Applications to Physics and Engineering Revised Edition by Robert Weinstock
About the Book
The book was written by Robert Weinstock was written to provide an overview of calculus for variations. It is simple and straightforward to write and focusing on the practical applications that this calculator can provide, it’s long been a popular reference for engineers, physicists as well as applied mathematicians.
The author starts slowly, by introducing readers to the calculus of variations as well as providing lists of key formulas and their formulae and.
Later chapters cover isoperimetric problems, geometrical optics, Fermat’s principle, dynamics of particles, the Sturm-Liouville eigenvalue-eigenfunction problem, the theory of elasticity, quantum mechanics, and electrostatics.
Each chapter concludes with a set of exercises which can be very helpful in determining if the subject matter covered in the chapter has been fully grasped.
The simplicity of the exposition makes this book accessible to those who have completed their first year of calculus and had the basics of differential equations.
Engineers and physicists who find the use of variational techniques to be elusive sometimes will appreciate this book in particular.
“I regard this as a very useful book which I shall refer to frequently in the future.” J. L. Synge, Bulletin of the American Mathematical Society.