Books by Andrei D. Polyanin

The book is devoted to describing and applying methods of generalized and functional separation of variables used to find exact solutions of nonlinear PDEs. It also presents the direct method of symmetry reductions and its more general version.

With numerous examples, this handbook takes a practical approach to the basic notions, formulas, equations, problems, theorems, methods, and laws that frequently occur in scientific, engineering applications and education. The book addresses difficult issues that many engineers and students face and avoids special terminology whenever possible.

A systematic exposition of fundamental problems of hydrodynamics, heat and mass transfer, and physicochemical hydrodynamics, which constitute the theoretical basis of chemical engineering in science. Topics are arranged in increasing order of difficulty, beginning with a physical and mathematical statement of the problem, followed by final results.

Suitable for engineers and scientists, this title contains over 2,400 integral equations with solutions, as well as analytical and numerical methods for solving linear and nonlinear equations. It explores Volterra, Fredholm, Wiener-Hopf, Hammerstein, Uryson, and other equations that arise in mathematics, physics, engineering, and the sciences.

A reference source for researchers, engineers and students of applied mathematics, mechanics, control theory and the engineering sciences, this title contains about 3000 first order partial differential equations with solutions.