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 five 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 solutions 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.
This volume is another in the popular series of fine translations from the Russian by Richard A. Silverman, formerly of the Courant Institute of Mathematical Sciences of New York University. Students of applied mathematics and scientists whose researches require its use will find this book invaluable. Teachers will find it an exceptional sourcebook of problems.
"I judge this to be a useful . . . book, and one well worth reprinting. It collects a considerable amount of material that would otherwise be available only from rather scattered sources." — Jack Schwartz, Courant Institute of Mathematical Sciences, N.Y.U.
Reprint of Problems of Mathematical Physics, 1965 edition.