Mathematics : Differential Equations

An introductory survey on the theory and techniques of discrete dynamical systems and difference equations as well as a manual for the use of the software package called Dynamica, which is used for their study. The text is intended for students of mathematics, life sciences, physics, economics, and engineering. It requires knowledge of calculus and more...

Price: $109.95

Offers a comprehensive presentation of some of the successful domain decomposition preconditioners for finite and spectral element approximations of partial differential equations. This book places strong emphasis on both algorithmic and mathematical aspects. It covers some important methods such as FETI and balancing Neumann-Neumann methods. more...

Price: $105.00

Existence and nonexistence of roots of functions involving one or more parameters has been the subject of numerous investigations. For a wide class of functions called quasi-polynomials, the above problems can be transformed into the existence and nonexistence of tangents of the envelope curves associated with the functions under investigation. In this book, we present a formal theory of the Cheng-Lin envelope method, which is completely new, yet simple and precise. This method is both simple — since only basic Calculus concepts are needed for understanding — and precise, since necessary and sufficient conditions can be obtained for functions such as polynomials containing more than four parameters. Since the underlying principles are relatively simple, this book is useful to college students who want to see immediate applications of what they learn in Calculus; to graduate students who want to do research in functional equations; and to researchers who want references on roots of quasi-polynomials encountered in the theory of difference and differential equations. more...

Price: $94.00

Investigations into the dynamics of a system of rigid bodies require the formulation of nonlinear equations of motion, of energy expressions, kinematic relationships, and other quantities. This book describes a formalism which substantially simplifies these tasks. more...

Price: $99.00

Haim Brezis has made significant contributions in the fields of partial differential equations and functional analysis. He is an inspiring teacher and counsellor of many mathematicians in the front ranks. The collection of papers presented in this volume, reflect Brezis's elegant way of creative thinking. more...

Price: $189.00