1.Elementary Invariant Theory: Algebraic Equations and ODEs
2.First-Order Partial Differential Equations
3.Solution Methods for Functional Equations
4.Elementary Invariant Theory: Partial Differential Equations
5.Methods of Generalized Separation of Variables
6.Methods of Functional Separation of Variables
7.DirectMethod of Symmetry Reductions. Weak Symmetries
8.Classical Method of Symmetry Reductions
9.Differential Constraints Method
10.Transformations of Equations of Mathematical Physics
11.Using Simple Solutions to Construct Complex Solutions
12.Constructing Solutions of Complex Equations
Biography
Andrei D. Polyanin, DSc, PhD, professor, is a well-known scientist of broad interests and is active in various areas of mathematics, mechanics, and chemical engineering sciences. Prof. Polyanin graduated with honors from the Department of Mechanics and Mathematics of Moscow State University in 1974. He earned his PhD in 1981 and DSc in 1986 from the Institute for Problems in Mechanics of the Russian (former USSR) Academy of Sciences. Since 1975, Prof. Polyanin has been working at the Institute for Problems in Mechanics of the Russian Academy of Sciences. He is a member of the Russian National Committee on Theoretical and Applied Mechanics. Prof. Polyanin is an author of more than 30 books and over 300 articles and holds three patents.
