Gerd Baumann – författare

Mathematica for Theoretical Physics: Classical Mechanics and Nonlinear DynamicsThis second edition of Baumann's Mathematica in Theoretical Physics shows readers how to solve physical problems and deal with their underlying theoretical concepts while using Mathematica to derive numeric and symbolic solutions. Each example and calculation can be evaluated by the reader, and the reader can change the example calculations and adopt the given code to related or similar problems. The second edition has been completely revised and expanded into two volumes: The first volume covers classical mechanics and nonlinear dynamics. Both topics are the basis of a regular mechanics course. The second volume covers electrodynamics, quantum mechanics, relativity, and fractals and fractional calculus. New examples have been added and the representation has been reworked to provide a more interactive problem-solving presentation. This book can be used as a textbook or as a reference work, by students and researchers alike. A brief glossary of terms and functions is contained in the appendices.The CD-ROM accompanying each of the two volumes contains Mathematicanotebooks as well as Mathematica programs.The notebooks contain the entire text of the corresponding volume and can interface with Mathematica. The examples given in the text can also be interactively used and changed for the readers purposes.The Author, Gerd Baumann, is affiliated with the Mathematical Physics Division of the University of Ulm, Germany, where he is professor. He is the author of Symmetry Analysis of Differential Equations with Mathematica. Dr. Baumann has given numerous invited talks at universities and industry alike. He regularly hosts seminars and lectures on symbolic computing at the University of Ulm and at TECHNISCHE UNIVERSITAT MUNCHEN (TUM), Munich.

This second edition of Baumann's Mathematica in Theoretical Physics shows readers how to solve physical problems and deal with their underlying theoretical concepts while using Mathematica to derive numeric and symbolic solutions. Each example and calculation can be evaluated by the reader, and the reader can change the example calculations and adopt the given code to related or similar problems. The second edition has been completely revised and expanded into two volumes: The first volume covers classical mechanics and nonlinear dynamics. Both topics are the basis of a regular mechanics course. The second volume covers electrodynamics, quantum mechanics, relativity, and fractals and fractional calculus. New examples have been added and the representation has been reworked to provide a more interactive problem-solving presentation. This book can be used as a textbook or as a reference work, by students and researchers alike. A brief glossary of terms and functions is contained in the appendices.The CD-ROM accompanying each of the two volumes contains Mathematica notebooks as well as Mathematica programs.The notebooks contain the entire text of the corresponding volume and can interface with Mathematica. The examples given in the text can also be interactively used and changed for the reader's purposes.The Author, Gerd Baumann, is affiliated with the Mathematical Physics Division of the University of Ulm, Germany, where he is professor. He is the author of Symmetry Analysis of Differential Equations with Mathematica. Dr. Baumann has given numerous invited talks at universities and industry alike. He regularly hosts seminars and lectures on symbolic computing at the University of Ulm and at Technische Universitat Munchen (TUM), Munich.

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.

Multicultural Riddle is a comprehensive exploration of all the issues that shape our search for a multicultural society. The book examines how we can establish a state of justice and equality between and among three groups: those who believe in a unified national culture, those who trace their culture to their ethnic identity, and those who view their religion as their culture. To solve the multicultural riddle, one must rethink national identity, ethnicity and the role of religion in the modern world.

Multicultural Riddle is a comprehensive exploration of all the issues that shape our search for a multicultural society. The book examines how we can establish a state of justice and equality between and among three groups: those who believe in a unified national culture, those who trace their culture to their ethnic identity, and those who view their religion as their culture. To solve the multicultural riddle, one must rethink national identity, ethnicity and the role of religion in the modern world.

This innovative 1996 study presents an account of the interaction of people from different ethnic backgrounds who live in Southall, the most densely populated, multi-ethnic ghetto in the London area. Breaking with the tradition of studying a single ethnic community, Gerhard Baumann treats Southall as a social field, in which various immigrant groups come to terms with one another and with the dominant, if distant, host culture. The people of Southall affirm ethnic distinctiveness in some contexts, but they are also engaged in rethinking their identities and in debating the meaning of their cultural heritage. This book is at once a vivid ethnographic account of an aspect of contemporary British life, and a challenge to the conventional discourse of community studies.

The purpose of this book is to provide the reader with a comprehensive introduction to the applications of symmetry analysis to ordinary and partial differential equations. The theoretical background of physics is illustrated by modem methods of computer algebra. The presentation of the material in the book is based on Mathematica 3.0 note­ books. The entire printed version of this book is available on the accompanying CD. The text is presented in such a way that the reader can interact with the calculations and experiment with the models and methods. Also contained on the CD is a package called MathLie-in honor of Sophus Lie---carrying out the calculations automatically. The application of symmetry analysis to problems from physics, mathematics, and en­ gineering is demonstrated by many examples. The study of symmetries of differential equations is an old subject. Thanks to Sophus Lie we today have available to us important information on the behavior of differential equations. Symmetries can be used to find exact solutions. Symmetries can be applied to verify and to develop numerical schemes. They can provide conservation laws for differential equations. The theory presented here is based on Lie, containing improve­ ments and generalizations made by later mathematicians who rediscovered and used Lie's work. The presentation of Lie's theory in connection with Mathematica is novel and vitalizes an old theory. The extensive symbolic calculations necessary under Lie's theory are supported by MathLie, a package written in Mathematica.

Mathematica for Theoretical Physics: Classical Mechanics and Nonlinear DynamicsThis second edition of Baumann's Mathematica® in Theoretical Physics shows readers how to solve physical problems and deal with their underlying theoretical concepts while using Mathematica® to derive numeric and symbolic solutions. Each example and calculation can be evaluated by the reader, and the reader can change the example calculations and adopt the given code to related or similar problems. The second edition has been completely revised and expanded into two volumes: The first volume covers classical mechanics and nonlinear dynamics. Both topics are the basis of a regular mechanics course. The second volume covers electrodynamics, quantum mechanics, relativity, and fractals and fractional calculus. New examples have been added and the representation has been reworked to provide a more interactive problem-solving presentation. This book can be used as a textbook or as a reference work, by students and researchers alike. A brief glossary of terms and functions is contained in the appendices.The examples given in the text can also be interactively used and changed for the reader’s purposes.The Author, Gerd Baumann, is affiliated with the Mathematical Physics Division of the University of Ulm, Germany, where he is professor. He is the author of Symmetry Analysis of Differential Equations with Mathematica®. Dr. Baumann has given numerous invited talks at universities and industry alike. He regularly hosts seminars and lectures on symbolic computing at the University of Ulm and at TECHNISCHE UNIVERSITÄT MÜNCHEN (TUM), Munich.

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.

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.

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.

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 ofnumerical analysis, partial differential equations, and hard computationalproblems study the properties of solutions of the Navier–Stokes partial differential equations on (x, y, z,t) ∈ ℝ3 × [0, T]. Initially converting the PDE to asystem of integral equations, the authors then describe spaces A of analytic functions that housesolutions of this equation, and show that these spaces of analytic functionsare dense in the spaces S of rapidlydecreasing and infinitely differentiable functions. This method benefits fromthe following advantages:The functions of S arenearly always conceptual rather than explicitInitial and boundaryconditions 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 propertiesWhen methods ofapproximation are applied to functions of A they converge at an exponential rate, whereas methods ofapproximation applied to the functions of S converge only at a polynomial rateEnables sharper bounds onthe solution enabling easier existence proofs, and a more accurate andmore efficient method of solution, including accurate error boundsFollowing the proofs of denseness, the authors prove theexistence of a solution of the integral equations in the space of functions A ∩ ℝ3 × [0, T], and provide an explicit novelalgorithm based on Sinc approximation and Picard–like iteration for computingthe solution. Additionally, the authors include appendices that provide acustom Mathematica program for computing solutions based on the explicitalgorithmic approximation procedure, and which supply explicit illustrations ofthese computed solutions.

In this monograph, leading researchers in the world ofnumerical analysis, partial differential equations, and hard computationalproblems study the properties of solutions of the Navier–Stokes partial differential equations on (x, y, z,t) ∈ ℝ3 × [0, T]. Initially converting the PDE to asystem of integral equations, the authors then describe spaces A of analytic functions that housesolutions of this equation, and show that these spaces of analytic functionsare dense in the spaces S of rapidlydecreasing and infinitely differentiable functions. This method benefits fromthe following advantages:The functions of S arenearly always conceptual rather than explicitInitial and boundaryconditions 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 propertiesWhen methods ofapproximation are applied to functions of A they converge at an exponential rate, whereas methods ofapproximation applied to the functions of S converge only at a polynomial rateEnables sharper bounds onthe solution enabling easier existence proofs, and a more accurate andmore efficient method of solution, including accurate error boundsFollowing the proofs of denseness, the authors prove theexistence of a solution of the integral equations in the space of functions A ∩ ℝ3 × [0, T], and provide an explicit novelalgorithm based on Sinc approximation and Picard–like iteration for computingthe solution. Additionally, the authors include appendices that provide acustom Mathematica program for computing solutions based on the explicitalgorithmic approximation procedure, and which supply explicit illustrations ofthese computed solutions.

"Mathematics for Engineers II" gehört zu einer vierbändigen Reihe und gibt eine Einführung in die Mathematik für 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 eingeführt. 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 vollständigen Text in Mathemetica enthält. Den Studierenden eröffnet sich so die Möglichkeit, interaktiv die Vorlesungsmaterialien nachzuvollziehen und die Fragestellungen des Texts sowie der Beispiele mit Unterstützung von Mathematica zu lösen.

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" gehört zu einer vierbändigen Reihe und gibt eine Einführung in die Mathematik für Undergraduates, die ein Bachelor-Studium im Bereich Ingenieurwissenschaften aufgenommen haben. Band IV ergänzt 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 vollständigen Text in Mathemetica enthält. Den Studierenden eröffnet sich so die Möglichkeit, interaktiv die Vorlesungsmaterialien nachzuvollziehen und die Fragestellungen des Texts sowie der Beispiele mit Unterstützung von Mathematica zu lösen.