Synopses & Reviews
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 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 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 universitiesand industry alike. He regularly hosts seminars and lectures on symbolic computing at the University of Ulm and at TECHNISCHE UNIVERSITT MNCHEN (TUM), Munich.
Review
From the reviews of the second edition: "The new edition contains a lot of new material and examples ... . It is shown how Mathematica can be used to support (or to replace) many of the usual 'by-hand' calculations and to study the results instantaneously by means of graphical representations. In particular, advantage is taken of many special functions and operations ... which are available in Mathematica. The book contains many sample programs, in written form." (M. Plum, Zentralblatt MATH, Vol. 1095 (21), 2006)
Synopsis
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 analytic solutions. Each example and calculation can be evaluated through Mathematica, 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 is now expanded into two volumes. New examples have been added and the representation has been reworked to provide a more interactive problem-solving presentation. A glossary of terms and functions is contained in the appendices. This book will be an invaluable reference for students and researchers alike.
Synopsis
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 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 UNIVERSITÄT MÜNCHEN (TUM), Munich.
Synopsis
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.
Synopsis
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.
About the Author
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.
Table of Contents
Introduction: Basics - Classical Mechanics: Introduction.- Mathematica® Tools.- Kinematics.- Newtonian Mechanics.- Central Forces.- Calculus of Variations.- Lagrange Dynamics.- Hamilton Dynamics.- Chaotic Systems.- Rigid Body Dynamics - Nonlinear Dynamics: Introduction.- The Korteweg-de Vries Equation.- Solution of the Korteweg-de Vries Equation.- Conservation Laws of the Korteweg-de Vries Equation.- Numerical Solution of the Korteweg-de Vries Equation.- Exercises.- Packages and Programs.