Choose an application
Choose an application
This volume contains the proceedings of a miniconfrenece on geometry and partial differential equations held at the Australian National University in August, 1985.
Choose an application
Choose an application
Suitable for both senior undergraduate and graduate students, this is a self-contained book dealing with the classical theory of the partial differential equations through a modern approach; requiring minimal previous knowledge. It represents the solutions to three important equations of mathematical physics - Laplace and Poisson equations, Heat or diffusion equation, and wave equations in one and more space dimensions. Keen readers will benefit from more advanced topics and many references cited at the end of each chapter. In addition, the book covers advanced topics such as Conservation Laws and Hamilton-Jacobi Equation. Numerous real-life applications are interspersed throughout the book to retain readers' interest.
Choose an application
Choose an application
This volume contains the proceedings of a miniconference on operator theory and partial differential equations held at the Australian National University in July, 1983, under the sponsorship of the Centre for Mathematical Analysis. It is divided into two parts.
Choose an application
This volume contains the proceedings of a miniconference on partial differential equations held at the Australian National University in July, 1981, under the sponsorship of the Mathematical Sciences Research Centre. It is divided into two parts.
Choose an application
In this book, Professor Copson gives a rigorous account of the theory of partial differential equations of the first order and of linear partial differential equations of the second order, using the methods of classical analysis. In spite of the advent of computers and the applications of the methods of functional analysis to the theory of partial differential equations, the classical theory retains its relevance in several important respects. Many branches of classical analysing have their origins in the rigourous discussion of problems in applies mathematics and theoretical physics, and the classical treatment of the theory of partial differential equations still provides the best method of treating many physical problems. A knowledge of the classical theory is essential for pure mathematics who intend to undertake research in this field, whatever approach they ultimately adopt. The numerical analyst needs a knowledge of classical theory in order to decide whether a problem has a unique solution or not.
Choose an application
Choose an application