Complete methods of solution have been provided for all the problems thatare new to this seventh edition. This feature is useful to teachers who want todetermine, at a glance, features of the various exercises that may not be com-pletely apparent from the problem statement. While many of the problems fromthe earlier editions had full solutions, some did not, and we were unfortunatelynot able to undertake the gargantuan task of generating full solutions to nearly1400 problems.
The topics covered will include a subset of: techniques for the solution of differential equations; approximations such as the method of steepest descent; techniques for integration; complex analysis; the special functions of mathematical physics; usage of Greens functions and eigenfunctions to solve differential equations; introduction to groups and group representations.
You should know the basic mathematical techniques used in undergraduate physics classes: vector calculus, methods for the solution of ordinary and partial differential equations, linear algebra and basic complex variables. Brief reviews of these topics will be given as they are needed during the course.
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