Boundary Value Problems, Fifth Edition: and Partial Differential Equations
Boundary Value Problems is the leading text on boundary value problems and Fourier series. The author, David Powers, (Clarkson) has written a thorough, theoretical overview of solving boundary value problems involving partial differential equations by the methods of separation of variables. Professors and students agree that the author is a master at creating linear problems that adroitly illustrate the techniques of separation of variables used to solve science and engineering.
This short supplement consists of the author's lectures of a freshmen-level mathematics class offered at Arkansas Tech University. These lecture notes are basically well suited for a one semester course in Business Calculus.
These lecture notes are intended to be used for master courses, where the students have a limited prior knowledge of special topics in probability. Therefore, we have included many of the preliminaries, such as convergence of random variables, probabilistic bounds, coupling, martingales and branching processes. These notes are aimed to be self-contained, and to give the readers an insight in the history of the field of random graphs.
This book focuses on helping children learn how to add the numbers 1 and 2 to other numbers. This very basic mathematical skill cannot be acquired through repetition alone. By using this book, children will be able to understand, without difficulty, the concept of addition by first repeatedly tracing and reciting numbers and then gradually shifting to addition formulas that include the numbers 1 and 2.
Our goal in this book is to explain as many important theorems, examples, and techniques as possible, as quickly and directly as possible, while at the same time giving (nearly) full details and keeping the text (nearly) selfcontained. This book contains some simplifications of known approaches and proofs, the exposition of some results that are not readily available, and some new material as well.
