DESCRIPTION
“EDP: Um Curso de Graduação” is an introduction to the study of Partial Differential Equations addressed to graduation students who have completed the sequence of Calculus. The presentation is elementary, with illustrative examples, forty figures and solution of all odd exercises, plus solution of some of the even ones.
Due to the essentially classical nature of the partial differential equations, there is a standard choice of topics that should be covered in any introductory course. In addition to these, the book introduces, with its simple language the concept of shock waves for first order equations, a subject that has been the subject of recent research and is of fundamental importance in the study of fluid dynamics.
The purpose of this book is to serve as a textbook for a first course in Partial Differential Equations (PDEs). The student must have completed the calculus sequence, including functions of several variables and notions of ordinary differential equations (ODE’s). The student must also know at least of the statement of the theorem of existence and uniqueness for EDO’s.
The choice of topics is standard, with the exception of the third section of Chapter 3, which is independent of subsequent chapters. A one semester course must cover the first ten chapters of the book; the two last chapters were included to make the text more complete. The book also contains the solution of more than half of the problems proposed.
ABOUT THE AUTHOR
Valéria de Magalhães Iório
Valéria de Magalhães Iório obtained her PhD at the University of California, Berkeley, on operator algebras associated with locally compact groups
Currently she teaches at the Centro Universitário Serra dos Órgãos (UNIFESO), in Teresópolis, where she gives courses for the Production Engineering and Environmental Engineering schools.
Her current interests are related to the teaching of mathematics at various levels, especially in the first undergraduate years.
