Contemporary Mathematics and Its Applications Volume 1,
ISBN 977-5945-19-4
This book is devoted to a rapidly developing branch of the qualitative theory of difference equations with or without delays. It presents the theory of oscillation of difference equations, exhibiting classical as well as very recent results in that area. While there are several books on difference equations and also on oscillation theory for ordinary differential equations, there is until now no book devoted solely to oscillation theory for difference equations. This book is filling the gap, and it can easily be used as an encyclopedia and reference tool for discrete oscillation theory.
In nine chapters, the book covers a wide range of subjects, including oscillation theory for second-order linear difference equations, systems of difference equations, half-linear difference equations, nonlinear difference equations, neutral difference equations, delay difference equations, and differential equations with piecewise constant arguments. This book summarizes almost 300 recent research papers and hence covers all aspects of discrete oscillation theory that have been discussed in recent journal articles. The presented theory is illustrated with 121 examples throughout the book. Each chapter concludes with a section that is devoted to notes and bibliographical and historical remarks.
The book is addressed to a wide audience of specialists such as mathematicians, engineers, biologists, and physicists. Besides serving as a reference tool for researchers in difference equations, this book can also be easily used as a textbook for undergraduate or graduate classes. It is written at a level easy to understand for college students who have had courses in calculus.
Contemporary Mathematics and Its Applications, Volume 4
Delay partial difference equations occur frequently in the approximation of solutions of delay partial differential equations by finite difference methods, random walk problems, the study of molecular orbits and mathematical physics problems. Many results have been done for the qualitative theory of delay partial difference equation in the past ten years. But there has not been a book in the literature presenting the systematical theory on delay partial difference equations so far. This book provides a broad scenario of the qualitative theory of delay partial difference equations.
The book is divided into five chapters. Chapter 1 introduces delay partial difference equations and related initial value problems, and offers several examples for motivation. In Chapter 2, we first discuss the oscillation of the linear delay partial difference equations with constants parameters, where the characteristic equations play an important rule; then we present some techniques for the investigation of the oscillation of the linear delay partial difference equations with variable coefficients. Chapter 3 is devoted to the study of the oscillation of the nonlinear delay partial difference equations. In Chapter 4, we consider the stability of the delay partial difference equations. In the last Chapter, we introduce some recent work on spatial chaos.
Most of the materials in this book are based on the research work carried out by authors, their graduate students and some other experts during the past ten years. Readership: Advanced undergraduates, graduates and researchers in applied mathematics, computation mathematics, physical and biological sciences.
Contemporary Mathematics and Its Applications, Volume 5
This book is devoted to singular boundary value problems for ordinary differential equations. It presents existence theory for a variety of problems having unbounded nonlinearities in regions where their solutions are searched for. The importance of thorough analytical solvability investigations is emphasized by the fact that numerical simulations of solutions to such problems usually break down near singular points. The book provides both general existence principles and various effective existence criteria which gives the theoretical framework for investigation of variety singular boundary value problems.
The contents of the monograph is mainly based on results obtained by the authors during the last few years but it also systematically describes the existing literature and compares various known existence results. Most of the more advanced results to date in this field can be found here. Besides, some known results are presented in a new way. The selection of topics reflects the particular interests of the authors.
The book is addressed to researchers in related areas, to graduate students or advanced undergraduates and, in particular, to those interested in singular and nonlinear boundary value problems. It can serve as a reference book on the existence theory for singular boundary value problems of ordinary differential equations as well as the textbook for graduate or undergraduate classes.
ISBN: 978-0-470-16497-6
Hardcover
608 pages
December 2007
This book presents the most authoritative treatment of multi-way statistical analysis (single, double, and k-way) that is available on the market today. Geared toward applications and the decisions that have to be made to get meaningful analyses, the book discusses a variety of models and is illustrated using commercially available software. The majority of the examples used come from the social and behavioral sciences, while data sets from other disciplines are employed for illustrative purposes.
Table of contents
ISBN: 978-0-470-17794-5
Hardcover
384 pages
December 2007
This long awaited Second Edition gives a fully updated and comprehensive account of the major topics in Monte Carlo Method simulation since the early 1980s. The book is geared to a broad audience of readers in engineering, the physical and life sciences, statistics, computer science, and mathematics. The authors aim to provide an accessible introduction to modern MCM, focusing on the main concepts, while providing a sound foundation for problem solving.
Table of contents
ISBN13: 9780195327755
ISBN10: 0195327756
paper, 496 pages Nov 2007,
Description
Never let rusty mathematics skills hinder success in your engineering or science courses!
Here are just some of the questions answered in this book:
How can:
Ea logarithm be converted from one base to another? (Chapter 7)
Esimultaneous linear equations be solved by hand painlessly? (Chapter 9)
Esome infinities be bigger than others? (Epilogue)
Designed for undergraduate students, A Mathematics Companion for Science and Engineering Students provides a valuable reference for a wide variety of topics in precalculus mathematics. The presentation is brief and to-the-point, but also precise, accurate, and complete.
Learn how to read mathematical discourse, write mathematics appropriately, and think in a way that is conducive to solving mathematical problems. Topics covered include: logic, sets, numbers, sequences, functions, powers and roots, exponentials and logarithms, possibility and probability, matrices, Euclidean geometry, analytic geometry, and the application of mathematics to experimental data. The epilogue introduces advanced topics from calculus and beyond. A large appendix offers 360 problems with fully detailed solutions so students can assess their basic mathematical knowledge and practice their skills. Product Details