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REFEREN CES . 156 9 Transforma.tion of a Boundary Value Problem to an Initial Value Problem . 157 9.0 Introduction . 157 9.1 Blasius Equation in Boundary Layer Flow . 157 9.2 Longitudinal Impact of Nonlinear Viscoplastic Rods . 163 9.3 Summary . 168 REFERENCES ...168 . 10 From Nonlinear to Linear Differential Equa.tions Using Transformation Groups...169 . 10.1 From Nonlinear to Linear Differential Equations . 170 10.2 Application to Ordinary Differential Equations -Bernoulli's Equation ...173 10...

On the roots of continuum mechanics in differential geometry -- a review.- Cosserat media.- Cosserat-type shells.- Cosserat-type rods.- Micromorphic media.- Electromagnetism and generalized continua.- Computational methods for generalized continua. The need of generalized continua models is coming from practice. Complex material behavior sometimes cannot be presented by the classical Cauchy continua. At present the attention of the scientists in this field is focused on the most recent resear...

The 20 papers contained in this volume span the areas of mathematical physics, dynamical systems, and probability. Yakov Sinai is one of the most important and influential mathematicians of our time, having won the Boltzmann Medal (1986), the Dirac Medal (1992), Dannie Heinemann Prize for Mathematical Physics (1989), Nemmers Prize (2002), and the Wolf Prize in Mathematics (1997). He is well-known as both a mathematician and a physicist, with numerous theorems and proofs bearing his name in both...

Fourier analysis is a mathematical technique for decomposing a signal into identifiable components. It is used in the study of all types of waves. This book explains the basic mathematical theory and some of the principal applications of Fourier analysis, in areas ranging from sound and vibration to optics and CAT scanning. The author provides in-depth coverage of the techniques and includes exercises that range from straightforward applications of formulas to more complex collections of prob...

Stochastic Differential Equations have become increasingly important in modelling complex systems in physics, chemistry, biology, climatology and other fields. This book examines and provides systems for practitioners to use, and provides a number of case studies to show how they can work in practice.

This is a practical anthology of some of the best elementary problems in different branches of mathematics. Arranged by subject, the problems highlight the most common problem-solving techniques encountered in undergraduate mathematics. This book teaches the important principles and broad strategies for coping with the experience of solving problems. It has been found very helpful for students preparing for the Putnam exam.

This book is intended to be a detailed and carefully written account of various versions of the Littlewood-Paley theorem and of some of its applications, together with indications of its general significance in Fourier multiplier theory. We have striven to make the presentation self-contained and unified, and adapted primarily for use by graduate students and established mathematicians who wish to begin studies in these areas: it is certainly not intended for experts in the subject. It has been...

Dieses vierfarbige Lehrbuch bietet in einem Band ein lebendiges Bild der gesamten Mathematik fur Anwender. Angehende Ingenieure und Naturwissenschaftler finden hier die wichtigen Konzepte und Begriffe ausfuhrlich und mit vielen Beispielen erklart. Im Mittelpunkt stehen das Verstandnis der Zusammenhange und die Beherrschung der Rechentechniken. Herausragende Merkmale sind: durchgangig vierfarbiges Layout mit mehr als 1500 Abbildungen"

This book explores how to design and implement planning & control (P&C) systems that can help organizations to manage their growth and restructuring processes in a sustainability perspective. The book is not designed to enable the reader to become an experienced system dynamics modeler; rather, it aims to develop the reader's capabilities to design and implement performance management systems by using a system dynamics approach. More specifically, the book shows how to develop system dynamics mo...

This volume contains the proceedings of a conference held in Wiirzburg, August 20-24, 1990. The theme of the conference was Bifurcation and Chaos: Analysis, Algorithms, Ap plications. More than 100 scientists from 21 countries presented 80 contributions. Many of the results of the conference are described in the 49 refereed papers that follow. The conference was sponsored by the Deutsche Forschungsgemeinschaft, and by the Deutscher Akademischer Austauschdienst. We gratefully acknowledge the sup...

The book deals with the localization approach to the index problem for elliptic operators. Localization ideas have been widely used for solving various specific index problems for a long time, but the fact that there is actually a fundamental localization principle underlying all these solutions has mostly passed unnoticed. The ignorance of this general principle has often necessitated using various artificial tricks and hindered the solution of new important problems in index theory. So far, t...

Dieses Buch vermittelt in leicht zuganglicher Sprache Methoden zur numerischen Berechnung von Fixpunkten und Nullstellen reeller Funktionen mithilfe von Iterationsverfahren. Insbesondere das Banach-Verfahren zur Fixpunktbestimmung sowie das Newton-Verfahren, eines der besten numerischen Verfahren zur Nullstellenberechnung von Funktionen, werden ausfuhrlich dargestellt. In einem abschliessenden Kapitel werden Anwendungen dieser Verfahren behandelt. Unter anderen geht es dabei um die beliebig gena...

Inverse scattering theory has been a particularly active and successful field in applied mathematics and engineering for the past twenty years. The increasing demands of imaging and target identification require new powerful and flexible techniques besides the existing weak scattering approximation or nonlinear optimization methods. One class of such methods comes under the general description of qualitative methods in inverse scattering theory. This textbook is an easily-accessible "class-teste...

The 9th book from this successful conference series, on Computational and Experimental Methods in Multiphase and Complex Flow, presents the latest research in one of the most challenging, yet most universally applicable areas of technology. Multiphase flows are found in all areas of technology and the range of related problems of interest is vast, including astrophysics, biology, geophysics, atmospheric process, and many areas of engineering. Recently multiphase fluid dynamics have generated a...

Dieses vierfarbige Lehrbuch bietet in einem Band ein lebendiges Bild der "gesamten" Mathematik fur Anwender. Angehende Ingenieure und Naturwissenschaftler finden hier die wichtigen Konzepte und Begriffe ausfuhrlich und mit vielen Beispielen erklart. Im Mittelpunkt stehen das Verstandnis der Zusammenhange und die Beherrschung der Rechentechniken. Herausragende Merkmale sind: durchgangig vierfarbiges Layout mit mehr als 1500 Abbildungen pragnant formulierte Kerngedanken bilden die Abschnittsubersc...