Gerd Baumann – författare

Mathematica for Theoretical Physics:

Classical Mechanics and Nonlinear Dynamics

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 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.

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.

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.

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:

Following 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.