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This book is an unparalleled collection of worked problem material in applied mathematics consisting of 566 problems and answers impossible to find in any other single source. Covering a wide range of topics in a particularly accessible manner, the problems apply many different mathematical methods to questions drawn from mechanics, the theory of heat conduction, and the theory of electric and magnetic phenomena.
The first chapters are suitable for anyone with a minimal background in applied mathematics. Topics covered are the derivation of equations and formulation of problems, some special methods for solving hyperbolic and elliptic equations, steady-state harmonic oscillations, the Fourier method, and the eigenfunction method for solving inhomogeneous problems. The remaining three chapters are suitable for students with a more advanced background. These more complicated problems deal with integral transforms, curvilinear coordinates, and integral equations. Certain problems indicated throughout the text are solved in detail in a solution section at the end of the text chapters. Included are a mathematical appendix and a supplement by Prof. E.L. Reiss titled “Variational and Related Methods”, containing 51 additional problems, most with solutions. A particularly complete and valuable bibliography is also included