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Group Properties Of The Acoustic Differential Equationby L. V. Poluyanov; A. Aguilar; M. Gonzalez
CRC Press 1995; US$ 129.95Looks at the symmetrical properties of soundwaves. Using a methodological approach, the authors clarify the algebraic and analytical nature of the dynamic acoustic problem. more...
Linear and Quasilinear Complex Equations of Hyperbolic and Mixed Type by Guo Chun Wen
CRC Press 2002; US$ 84.95This volume deals with first and second order complex equations of hyperbolic and mixed (elliptic hyperbolic) type in which various general boundary value problems for first and second order linear and quasilinear complex equations of hyperbolic and mixed type are investigated in detail. In order to obtain results on complex equations of mixed type, some discontinous boundary value problems for elliptic complex equations are discussed. Complex analytical methods are used throughout. Mixed complex equations are included in the quasilinear case, and boundary value conditions are almost considered in the general oblique derivative case and multiply connected domains are considered in detail. Another feature is that complex analytical methods are... more...
Oscillation Theory for Second Order Dynamic Equationsby V. S. Agarwala; Said R. Grace; Donal O'Regan
CRC Press 2002; US$ 84.95This book is devoted to a rapidly developing area of research known as the qualitative theory of dynamic equations. In fact, in the last 50 years the Oscillation Theory of ordinary, functional, neutral, partial and impulsive differential equations, and their discrete versions has attracted many researchers. This has resulted in hundreds of research papers in every major mathematical journal. Also, there are many books which deal exclusively with the oscillation of solutions of differential equations. However, most of these books only appeal to researchers who already know the subject. Thus in an effort to bring the subject to a wider and new audience, in this book the authors present a compact, but thorough, understanding of Oscillation Theory... more...
Differential Equationsby Steven A. Leduc
John Wiley & Sons, Inc. 2004; US$ 9.95CliffsQuickReview course guides cover the essentials of your toughest subjects. Get a firm grip on core concepts and key material, and test your newfound knowledge with review questions. Whether you need a course supplement, help preparing for an exam, or a concise reference for the subject, CliffsQuickReview Differential Equations can help. This guide covers first-order and second-order equations, power series, and more. In no time, you'll be tackling topics such as Linear and homogeneous equations Integrating factors The Laplace transform operator Simple harmonic motion Orthogonal trajectories CliffsQuickReview Differential Equations acts as a supplement to your other learning materials. Use this reference in any way that fits your... more...
Numerical Methods for Ordinary Differential Equationsby J. C. Butcher
John Wiley & Sons, Ltd. 2004; US$ 170.00This new book updates the exceptionally popular Numerical Analysis of Ordinary Differential Equations. "This book is...an indispensible reference for any researcher."-American Mathematical Society on the First Edition. Features: * New exercises included in each chapter. * Author is widely regarded as the world expert on Runge-Kutta methods * Didactic aspects of the book have been enhanced by interspersing the text with exercises. * Updated Bibliography. more...
Stochastic Versus Deterministic Systems of Differential Equationsby G. S. Ladde; M. Sambandham
Marcel Dekker Inc 2003; US$ 219.95This peerless reference/text unfurls a unified and systematic study of the two types of mathematical models of dynamic processes—stochastic and deterministic—as placed in the context of systems of stochastic differential equations. Using the tools of variational comparison, generalized variation of constants, and probability distribution as its methodological backbone, Stochastic Versus Deterministic Systems of Differential Equations addresses questions relating to the need for a stochastic mathematical model and the between-model contrast that arises in the absence of random disturbances/fluctuations and parameter uncertainties both deterministic and stochastic. more...
Solving ODEs with MATLABby L. F. Shampine; I. Gladwell; S. Thompson
Cambridge University Press 2003; US$ 45.00This concise text for a one-semester course for upper-level undergraduates and beginning graduate students in engineering, science, and mathematics can also serve as a quick reference for professionals. The treatment of each method is brief and technical issues are minimized, but all the issues important in practice and for understanding the code are discussed. more...
Differential Equationsby A. C. King; J. Billingham; S. R. Otto
Cambridge University Press 2003; US$ 59.00The authors focus on constructing solutions analytically, and interpreting their meaning; MATLAB is used extensively to illustrate the material. The many worked examples, based on interesting real world problems, the large selection of exercises, including several lengthier projects, the broad coverage, and clear and concise presentation will appeal to undergraduates. more...
Well-Posed Linear Systemsby Olof Staffans; G.-C. Rota; B. Doran; M. Ismail; T. Y. Lam; E. Wutwak; P. Flajolet; E. Lutwak
Cambridge University Press 2005; US$ 188.00Much of the material that the author presents is original and many results have never appeared in book form before. A comprehensive bibliography completes this work which will be indispensable to all working in systems theory, operator theory, delay equations and partial differential equations. more...
The Numerical Solution of Ordinary and Partial Differential Equationsby Granville Sewell
John Wiley & Sons, Inc. 2005; US$ 132.00Learn to write programs to solve ordinary and partial differential equations The Second Edition of this popular text provides an insightful introduction to the use of finite difference and finite element methods for the computational solution of ordinary and partial differential equations. Readers gain a thorough understanding of the theory underlying themethods presented in the text. The author emphasizes the practical steps involved in implementing the methods, culminating in readers learning how to write programs using FORTRAN90 and MATLAB(r) to solve ordinary and partial differential equations. The book begins with a review of direct methods for the solution of linear systems, with an emphasis on the special features of the linear systems... more...