Class-tested textbook that shows readers how to solve physical problems and deal with their underlying theoretical concepts while using Mathematica to derive numeric and symbolic solutions.

Delivers dozens of fully interactive examples for learning and implementation, constants and formulae can readily be altered and adapted for the user 's purposes.

New edition offers enlarged two-volume format suitable to courses in mechanics and electrodynamics, while offering dozens of new examples and a more rewarding interactive learning environment.

CD-ROM presents the entire text contents and interactive examples in Mathematica

Notebooks for problem solving and learning.

This contributed volume honors the 80th birthday of Frank Stenger who established new Sinc methods in numerical analysis.The contributions, written independently from each other, show the new developments in numerical analysis in connection with Sinc methods and approximations of solutions for differential equations, boundary value problems, integral equations, integrals, linear transforms, eigenvalue problems, polynomial approximations, computations on polyhedra, and many applications. The approximation methods are exponentially converging compared with standard methods and save resources in computation. They are applicable in many fields of science including mathematics, physics, and engineering.The ideas discussed serve as a starting point in many different directions in numerical analysis research and applications which will lead to new and unprecedented results. This book will appeal to a wide readership, from students to specialized experts.

In this monograph, leading researchers in the world of numerical analysis, partial differential equations, and hard computational problems study the properties of solutions of the Navier-Stokes partial differential equations on (x, y, z, t) 3 x [0, T]. Initially converting the PDE to a system of integral equations, the authors then describe spaces A of analytic functions that house solutions of this equation, and show that these spaces of analytic functions are dense in the spaces S of rapidly decreasing and infinitely differentiable functions. This method benefits from the following advantages: The functions of S are nearly always conceptual rather than explicit Initial and boundary conditions of solutions of PDE are usually drawn from the applied sciences, and as such, they are nearly always piece-wise analytic, and in this case, the solutions have the same properties When methods of approximation are applied to functions of A they converge at an exponential rate, whereas methods of approximation applied to the functions of S converge only at a polynomial rate Enables sharper bounds on the solution enabling easier existence proofs, and a more accurate and more efficient method of solution, including accurate error bounds Following the proofs of denseness, the authors prove the existence of a solution of the integral equations in the space of functions A 3 x [0, T], and provide an explicit novel algorithm based on Sinc approximation and Picard-like iteration for computing the solution. Additionally, the authors include appendices that provide a custom Mathematica program for computing solutions based on the explicit algorithmic approximation procedure, and which supply explicit illustrations of these computed solutions.

For several years now, the concepts of 'civil culture' and 'civil society' have been widely discussed in the social sciences. Theoretically innovative and empirically rich, this volume is one of few studies that offer solid and focused ethnographic research on how the tenets and assumptions of civil culture are inculcated in schools. The authors examined school curricula, texts and pedagogical practices, observed daily interaction within the schools and outside, and conducted numerous interviews and discussion groups. The experience of students from Turkish backgrounds in the four countries was given special attention, thus offering valuable insights into the changing dynamics of nation-state civil cultures in multicultural societies.

Issues of the construction of Self and Other, normally in the context of social exclusion of those perceived as different, have assumed a new urgency. This collection offers a fresh perspective on the ongoing debates on these questions in the social sciences and the humanities by focusing specifically on one theoretical proposition, namely, that the seemingly universal processes of identity formation and exclusion of the 'other' can be differentiated according to three modalities. All contributors directly engage with rigorous empirical testing and theoretical cross-examination of this proposition. Their results have direct implications not only for a more differentiated understanding of collective identities, but also for a better understanding of extreme collective violence and genocide.

Issues of the construction of Self and Other, normally in the context of social exclusion of those perceived as different, have assumed a new urgency. This collection offers a fresh perspective on the ongoing debates on these questions in the social sciences and the humanities by focusing specifically on one theoretical proposition, namely, that the seemingly universal processes of identity formation and exclusion of the 'other' can be differentiated according to three modalities. All contributors directly engage with rigorous empirical testing and theoretical cross-examination of this proposition. Their results have direct implications not only for a more differentiated understanding of collective identities, but also for a better understanding of extreme collective violence and genocide.

For several years now, the concepts of 'civil culture' and 'civil society' have been widely discussed in the social sciences. Theoretically innovative and empirically rich, this volume is one of few studies that offer solid and focused ethnographic research on how the tenets and assumptions of civil culture are inculcated in schools. The authors examined school curricula, texts and pedagogical practices, observed daily interaction within the schools and outside, and conducted numerous interviews and discussion groups. The experience of students from Turkish backgrounds in the four countries was given special attention, thus offering valuable insights into the changing dynamics of nation-state civil cultures in multicultural societies.

Edited by two leading scholars in the field, this new title in Routledge's Major Works series, Critical Concepts in Sociology, is a four-volume collection of canonical and cutting-edge research. Serious work on multiculturalism flourishes as never before, and this 'mini library' meets the need for an authoritative reference work to make sense of the subject's vast literature and the continuing explosion in research output. Perhaps more than other critical concepts, 'multiculturalism' is hotly contested; there are sharply different-and perhaps ultimately irreconcilable-approaches to a variety of multicultural conceptions and projects. Rather than seek to establish some kind of consensus on classic works, this collection explicitly brings together the best and most influential work to have emerged from all sides of the debate. The first volume in the collection ('Conceiving Multiculturalism: From Roots to Rights') assembles key research to trace the concept of multiculturalism from long-standing arguments on tribal co-existence, humans rights and civil rights to the rights to recognition. Volume II ('Multiculturalism and the Nation State: Who Recognizes Whom?') collects the most important thinking to explore the tensions between national, ethnic, and religious identity politics. Volume III ('Multiculturalism in the Public Sphere'), meanwhile, brings together the best research which examines the difficult choices to be made between ideas of social integration and contending notions of community rights, not least in schools and in the marketplace. The scholarship assembled in the final volume of the collection ('Crises and Transformations') juxtaposes work dealing with the most urgent crises in multiculturalism-such as the revival of virulent nationalism-with the best classic and contemporary thinking on the new realities of transnationalism. The collection is supplemented with a full index, and includes a comprehensive introduction, newly written by the editor, which places the collected material in its historical and intellectual context. Multiculturalism is destined to be valued by scholars, students, and researchers as a vital research resource.

Class-tested textbook that shows readers how to solve physical problems and deal with their underlying theoretical concepts while using Mathematica(r) to derive numeric and symbolic solutions.

Delivers dozens of fully interactive examples for learning and implementation, constants and formulae can readily be altered and adapted for the user's purposes.

New edition offers enlarged two-volume format suitable to courses in mechanics and electrodynamics, while offering dozens of new examples and a more rewarding interactive learning environment.

"

This contributed volume honors the 80th birthday of Frank Stenger who established new Sinc methods in numerical analysis.The contributions, written independently from each other, show the new developments in numerical analysis in connection with Sinc methods and approximations of solutions for differential equations, boundary value problems, integral equations, integrals, linear transforms, eigenvalue problems, polynomial approximations, computations on polyhedra, and many applications. The approximation methods are exponentially converging compared with standard methods and save resources in computation. They are applicable in many fields of science including mathematics, physics, and engineering.The ideas discussed serve as a starting point in many different directions in numerical analysis research and applications which will lead to new and unprecedented results. This book will appeal to a wide readership, from students to specialized experts.

Series Information:
Zones of Religion

In this monograph, leading researchers in the world of numerical analysis, partial differential equations, and hard computational problems study the properties of solutions of the Navier-Stokes partial differential equations on (x, y, z, t) 3 x [0, T]. Initially converting the PDE to a system of integral equations, the authors then describe spaces A of analytic functions that house solutions of this equation, and show that these spaces of analytic functions are dense in the spaces S of rapidly decreasing and infinitely differentiable functions. This method benefits from the following advantages: The functions of S are nearly always conceptual rather than explicit Initial and boundary conditions of solutions of PDE are usually drawn from the applied sciences, and as such, they are nearly always piece-wise analytic, and in this case, the solutions have the same properties When methods of approximation are applied to functions of A they converge at an exponential rate, whereas methods of approximation applied to the functions of S converge only at a polynomial rate Enables sharper bounds on the solution enabling easier existence proofs, and a more accurate and more efficient method of solution, including accurate error bounds Following the proofs of denseness, the authors prove the existence of a solution of the integral equations in the space of functions A 3 x [0, T], and provide an explicit novel algorithm based on Sinc approximation and Picard-like iteration for computing the solution. Additionally, the authors include appendices that provide a custom Mathematica program for computing solutions based on the explicit algorithmic approximation procedure, and which supply explicit illustrations of these computed solutions.

Class-tested textbook that shows readers how to solve physical problems and deal with their underlying theoretical concepts while using Mathematica (R) to derive numeric and symbolic solutions. Delivers dozens of fully interactive examples for learning and implementation, constants and formulae can readily be altered and adapted for the user's purposes. New edition offers enlarged two-volume format suitable to courses in mechanics and electrodynamics, while offering dozens of new examples and a more rewarding interactive learning environment. Notebooks for problem solving and learning.

The first book to explicitly use Mathematica so as to allow researchers and students to more easily compute and solve almost any kind of differential equation using Lie's theory. Previously time-consuming and cumbersome calculations are now much more easily and quickly performed using the Mathematica computer algebra software. The material in this book, and on the accompanying CD-ROM, will be of interest to a broad group of scientists, mathematicians and engineers involved in dealing with symmetry analysis of differential equations. Each section of the book starts with a theoretical discussion of the material, then shows the application in connection with Mathematica. The cross-platform CD-ROM contains Mathematica (version 3.0) notebooks which allow users to directly interact with the code presented within the book. In addition, the author's proprietary "MathLie" software is included, so users can readily learn to use this powerful tool in regard to performing algebraic computations.

This book is part of a four-volume textbook on Engineering Mathematics for undergraduates. Volume III treats vector calculus and differential equations of higher order. The text uses Mathematica as a tool to discuss and to solve examples from mathematics. The basic use of this language is demonstrated by examples.

"Mathematics for Engineers I" gehoert zu einer vierbandigen Reihe und gibt eine Einfuhrung in die Mathematik fur Undergraduates, die ein Bachelor-Studium im Bereich Ingenieurwissenschaften aufgenommen haben. Band IV erganzt den Calculus und die Lineare Algebra durch grundlegende numerische Verfahren und deren Anwendung auf praktische Fragestellungen. Die Reihe unterscheidet sich von traditionellen Texten dadurch, dass sie interaktiv ist und mit Hilfe des Computer-Algebra-Systems Mathematica die Berechnungen darstellt. Jedem Buch liegt eine CD bei, die die Rechenprogramme und den vollstandigen Text in Mathemetica enthalt. Den Studierenden eroeffnet sich so die Moeglichkeit, interaktiv die Vorlesungsmaterialien nachzuvollziehen und die Fragestellungen des Texts sowie der Beispiele mit Unterstutzung von Mathematica zu loesen.

"Mathematics for Engineers II" gehoert zu einer vierbandigen Reihe und gibt eine Einfuhrung in die Mathematik fur Undergraduates, die ein Bachelor-Studium im Bereich Ingenieurwissenschaften aufgenommen haben. In Band II wird der klassische Calculus fort- und in die Grundlagen der Linearen Algebra eingefuhrt. Die Reihe unterscheidet sich von traditionellen Texten dadurch, dass sie interaktiv ist und mit Hilfe des Computer-Algebra-Systems Mathematica die Berechnungen darstellt. Jedem Buch liegt eine CD bei, die die Rechenprogramme und den vollstandigen Text in Mathemetica enthalt. Den Studierenden eroeffnet sich so die Moeglichkeit, interaktiv die Vorlesungsmaterialien nachzuvollziehen und die Fragestellungen des Texts sowie der Beispiele mit Unterstutzung von Mathematica zu loesen.

Series Information:
Zones of Religion

In a vivid, ethnographic account of immigrant groups living in West London, Gerd Baumann breaks with the conventional discourse of community studies to explore their mutual interaction. By treating Southall--the most densely populated, multi-ethnic ghetto in the London area--as a social field, he considers how people from different backgrounds come to terms with one another and with the dominant, host culture, while at the same time affirming their own ethnic distinctiveness.