Book Description
This second edition of Baumann's
Mathematica
® for 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.
Customer Reviews:
A very good book.......2006-03-24
This is a very good book in it's subject. The examples taken from Quantum Mechanics ,Fractals and General Relativity are quite impressive.But I would expect even more problems taken from the field of Electrodynamics.I think that this book is a"must have" for anyone who's interesting in computational methods for solving basic problems of theoretical physics.
Average customer rating:
|
Multivariate Calculus and Mathematica: With Applications to Geometry and Physics
Kevin R. Coombes ,
Ronald L. Lipsman , and
Jonathan M. Rosenberg
Manufacturer: Springer
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Similar Items:
-
The Student's Introduction to Mathematica : A Handbook for Precalculus, Calculus, and Linear Algebra
-
Calculus Labs for Mathematica
-
Complex Analysis with MATHEMATICA®
-
Schaum's Outline of Mathematica
ASIN: 0387983600 |
Book Description
One of the authors' stated goals for this publication is to "modernize" the course through the integration of Mathematica. Besides introducing students to the multivariable uses of Mathematica, and instructing them on how to use it as a tool in simplifying calculations, they also present intoductions to geometry, mathematical physics, and kinematics, topics of particular interest to engineering and physical science students. In using Mathematica as a tool, the authors take pains not to use it simply to define things as a whole bunch of new "gadgets" streamlined to the taste of the authors, but rather they exploit the tremendous resources built into the program. They also make it clear that Mathematica is not algorithms. At the same time, they clearly see the ways in which Mathematica can make things cleaner, clearer and simpler. The problem sets give students an opportunity to practice their newly learned skills, covering simple calculations with Mathematica, simple plots, a review of one-variable calculus using Mathematica for symbolic differentiation, integration and numberical integration. They also cover the practice of incorporating text and headings into a Mathematica notebook. A DOS-formatted diskette accompanies the printed work, containing both Mathematica 2.2 and 3.0 version notebooks, as well as sample examination problems for students. This supplementary work can be used with any standard multivariable calculus textbook. It is assumed that in most cases students will also have access to an introductory primer for Mathematica.
Customer Reviews:
awful book.......2005-03-30
This is one of the worst technical books I have ever read. It seems like something cobbled together. It teaches very little vector calculus or mathematica.
Average customer rating:
- excellent - must read for beginners
- Very good Mathematica introduction for physics students!
|
A Physicists Guide to Mathematica
Patrick P. Tam
Manufacturer: Academic Press
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Similar Items:
-
Schaum's Outline of Mathematica
-
Mathematica for Theoretical Physics: Electrodynamics, Quantum Mechanics, General Relativity, and Fractals
-
Mathematica for Physics
-
The Student's Introduction to Mathematica : A Handbook for Precalculus, Calculus, and Linear Algebra
-
Mathematica Navigator: Mathematics, Statistics, and Graphics, Second Edition
ASIN: 0126831904 |
Book Description
A Physicists Guide to Mathematica(r) teaches students and professional physicists how to master Mathematica using examples and approaches that will appeal to them. The book illustrates the usefulness of Mathematica in learning, teaching, and carrying out research in physics. Part One gives a practical, physics-oriented, and self-contained introduction to the program. Part Two covers the application of Mathematica to mechanics, electricityand magnetism, and quantum physics.
Mathematica enables the user to solve a wide range of physics problems, from the most important to those that are just for fun, and provides an environment that allows the user to develop a greater intuitive understanding of physics. This book aids the reader in using Mathematica for numerical, symbolic, and graphical calculations, and also demonstrates the programs capability to animate two- and three-dimensional graphics. Tams treatment of the subject is greatly detailed, and makes this book an essential reference for anyone needing an introduction to Mathematicas application to physics.
This book teaches upper-division and graduate physics students as well as professional physicists how to master Mathematic(r), using examples and approaches that are motivating to them. It also shows that this computer algebra system can be a powerful and wonderful tool for learning, teaching, and doing physics. Part I gives a practical, physics-oriented, and self-contained introduction to Mathematica. Part II considers the application of Mathematica to mechanics, electricity and magnetism, and quantum physics.
* Requires no prior knowledge of Mathematica or computer programming
* Includes a disk containing all Mathematica input used in the text for practical application, which can be used by both Macintosh and Windows users
Customer Reviews:
excellent - must read for beginners.......2002-01-02
I read many Mathematica books, introductory and advanced - yet this one clearly stands out (even in this high quality field).
The title and the previous reviewer suggest that this is a book for physicists or physics students. This is quite unfortunate, as it may put off others from learning proper use of Mathematica from this book. True, the examples are from physics, but most of them are elementary physics, done by students of science, life sciences, biology, chemistry, engineering etc.
The reason why non-physicists should read that book is extremely clear exposure of three areas of Mathematica: a) introductory level use of mma as a simple calculator/grapher/equation solver; b) very good illustration on practical aspects of using mma to solve slightly larger problems - showing the right _methodology_ of mapping real world problems into mma so they can be solved neatly; c) very good introduction to programming in Mathematica on the introductory to intermediate level (with some hints of advanced)
I admit to having a strong bias towards this book - it is one of many introductory books I read and I regret it was not my first one. That would have saved me reading others - beginners, intermediate and advanced alike. [OK, I read them just to compare, anyway :-)]
Very good Mathematica introduction for physics students!.......2000-04-02
If you need to apply Mathematica to study real physical systems,then i think you can find a lot of useful material in this book.The book begins with the use of Mathematica as an advanced interactive calculator and graphic display ,then elucidates its use as a programming language and finally shows a series of Mathematica packages that deal with specific problems in different physical areas.The author mixes explanations and hints with one to one reproduction of the computer screen inputs and outputs.The exposition is very clear and student-friendly.On the whole a great text!
Average customer rating:
- Teacher & Engineer
- An excellent text as either an introduction or a reference
|
Numerical and Analytical Methods for Scientists and Engineers, Using Mathematica
Daniel Dubin
Manufacturer: Wiley-Interscience
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Similar Items:
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Classical Mechanics
-
Introduction to Electrodynamics (3rd Edition)
-
Complex Analysis with MATHEMATICA®
-
The Mathematica GuideBook for Numerics
ASIN: 0471266108 |
Book Description
* The electronic component of the book is based on the widely used and highly praised Mathematica software package.
* Each chapter of the bookis a Mathematica notebook with links to web-based material.
* The methods are applied to a range of problems taken from physics and engineering.
* The book covers elementary and advaned numerical methods used in modern scientific computing.
Customer Reviews:
Teacher & Engineer.......2005-03-04
This book is alright if you got it for a price around $20.
An excellent text as either an introduction or a reference.......2003-10-07
This book explains how to solve a variety of useful problems in mathematical physics with Mathematica. The clear and concise presentation of material facilitates rapid advancement in the subject. In addition, many interesting physical examples and problems are included. I highly recommend this book as a text for undergraduate mathematical physics instruction.
Book Description
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.
Book Description
Mathematica is today's most advanced technical computing system, featuring a rich programming environment, two-and three-dimensional graphics capabilities and hundreds of sophisticated, powerful programming and mathematical functions using state-of-the-art algorithms. Combined with a user-friendly interface and a complete mathematical typesetting system,
Mathematica offers an intuitive, easy-to-handle environment of great power and utility.
The Mathematica GuideBook for Numerics (text and code fully tailored for
Mathematica 5.1) concentrates on
Mathematica's numerical mathematics capabilities. The available types of arithmetic (machine, high-precision, and interval) are introduced, discussed, and put to use. Fundamental numerical operations, such as compiling programs, fast Fourier transforms, minimization, numerical solution of equations, ordinary/partial differential equations are analyzed in detail and are applied to a large number of examples in the main text and solutions to the exercises.
Unique Features:
Detailed exposition of advantages and disadvantages of machine numbers, significance high-precision numbers and intervals
Presents numerous examples of the efficient and optimized use of
Mathematica's functions for root finding, numerical minimization, numerical integration, and differential equation solving, and examples from mathematics and physics
Clear organization, complete topic coverage, and accessible exposition for both novices and experts
Website for book with additional materials and updates: http://www.MathematicaGuideBooks.org
Accompanying DVD contains all material in the form of hyperlinked
Mathematica notebooks that can be edited and manipulated; striking color graphics and animations are included on the DVD
Michael Trott is a symbolic computation and computer graphics expert. He holds a Ph.D. in theoretical physics and joined the R&D team at Wolfram Research in 1994, the creators of Mathematica. Since 1998, he has been leading the development of the Wolfram Functions Site
http://functions.wolfram.com, which features more that 10,000 visualizations and 85,000 formulas and identities,and also allows for semantical searches.
Customer Reviews:
Exceeding expectations.......2006-04-01
Michael Trott's GuideBooks are an invaluable reference for the serious Mathematica programmer. The unsurpassed symbolic computation engine, superior programming paradigms, lightning-fast numerics, and state-of-the-art visualization can justly be considered four of the main pillars of the Mathematica system, and Michael Trott, himself a well-established and renowed expert programmer at Wolfram Research, provides the most in-depth coverage available in these areas. Unlike the contents normally to be found in a numerics book, this numerics GuideBook includes several methods and principles from other fields of mathematics and programming. This GuideBook is truly astonishing in terms of its breadth. The material is highly relevant for the ambitious numerics programmer, and the writing style is very readable, fluent, and consistent. The structure of the material is logical and break-free, and the examples are very well-chosen.
Several elucidating examples also further the knowledge about the mathematical or physical subject matter itself. Just to mention a few, I was amazed to discover that magnetic field lines of stationary flows are NOT closed in general, and some examples of modern mathematics and physics literature are used in contrast to classical physics, such as the continuous time random walk on a graph or quantum carpets in a solution, which provides an interesting classical vs. quantum variant. And next to textbook examples the reader will find many "real life" examples interspersed throughout the book as well, which makes the results quite "tangible".
Michael Trott includes a great comparison of Mathematica's superior compilable machine precision arithmetic (bytecode, instead of machine-code compilation), high-precision arithmetic, and interval arithmetic, all three of which are needed frequently depending on the numerics project at hand.
Needless to say, the book shows a profusion of carefully chosen graphics that help understanding the matter or result instantly. Here Michael Trott's expert ability as a graphics programmer is indispensible.
All references are hyperlinked through their respective DOI numbers. The DVD contains the texts and inputs of the other three GuideBooks as well.
Book Description
This up-to-date textbook on mathematical methods of physics is designed for a one-semester graduate or two-semester advanced undergraduate course. The formal methods are supplemented by applications that use MATHEMATICA to perform both symbolic and numerical calculations.
The book is written by a physicist lecturer who knows the difficulties involved in applying mathematics to real problems. As many as 40 exercises are included at the end of each chapter. A student CD includes a basic introduction to MATHEMATICA, notebook files for each chapter, and solutions to selected exercises.
Free solutions manual available for lecturers at college@wiley-vch.de.
Customer Reviews:
treat primarily for its Mathematica examples.......2007-07-07
If you are a physics graduate student, with a preference for computational topics, then Kelly's book can be a useful guide. Especially if you also plan on using Mathematica. There is no shortage of general texts on the latter, including from Wolfram Research itself. But at the graduate physics level, your needs tend to be far more specialised.
Now, strictly speaking, Kelly's book is primarily about various maths topics that physicists use. With the sections on Mathematica secondary. But I found little to distinguish this from other "pure" texts on mathematical physics. Nothing wrong with it, per se. However, what seems to differentiate this book from others are those sections showing how to use Mathematica in exotic ways. Perhaps this is how you should also treat it?
Book Description
This book offers a new approach to introductory scientific computing. It aims to make students comfortable using computers to do science, to provide them with the computational tools and knowledge they need throughout their college careers and into their professional careers, and to show how all the pieces can work together. Rubin Landau introduces the requisite mathematics and computer science in the course of realistic problems, from energy use to the building of skyscrapers to projectile motion with drag. He is attentive to how each discipline uses its own language to describe the same concepts and how computations are concrete instances of the abstract.
Landau covers the basics of computation, numerical analysis, and programming from a computational science perspective. The first part of the printed book uses the problem-solving environment Maple as its context, with the same material covered on the accompanying CD as both Maple and Mathematica programs; the second part uses the compiled language Java, with equivalent materials in Fortran90 on the CD; and the final part presents an introduction to LaTeX replete with sample files.
Providing the essentials of computing, with practical examples, A First Course in Scientific Computing adheres to the principle that science and engineering students learn computation best while sitting in front of a computer, book in hand, in trial-and-error mode. Not only is it an invaluable learning text and an essential reference for students of mathematics, engineering, physics, and other sciences, but it is also a consummate model for future textbooks in computational science and engineering courses.
- A broad spectrum of computing tools and examples that can be used throughout an academic career
- Practical computing aimed at solving realistic problems
- Both symbolic and numerical computations
- A multidisciplinary approach: science + math + computer science
- Maple and Java in the book itself; Mathematica, Fortran90, Maple and Java on the accompanying CD in an interactive workbook format
Professors: A supplementary Solutions Manual is available for this book. It is restricted to teachers using the text in courses. For information on how to obtain a copy, refer to: http://pup.princeton.edu/solutions.html
Customer Reviews:
unusual teaching of numerical analysis and symbolic algebra.......2005-08-06
Landau takes a refreshingly different approach to teaching students scientific computation. The field can be considered as two parts. One, the older and more heavily used, is about the "traditional" numerical analysis. You crunch numbers, and you get numbers out. The other approach is symbolic algebra.
Usually a text only deals with one type. Here, he teaches both. Plus, for each type, he offers the choice of two languages. For the numerical analysis, there is Fortran, version 90, and Java. While the symbolic algebra is performed using Mathematica or Maple. Ecumenical indeed!
These are excellent choices of languages. Fortran still dominates legacy numerical analysis, with massive libraries of subroutines that one has to work with or maintain. While Java lets the student learn good object oriented practices.
And Mathematica and Maple are perhaps the most common symbolic packages available.
Book Description
Essential Mathematica: With Applications to Mathematics and Physics, based on the lecture notes of a course taught at the University of Illinois at Chicago to advanced undergrad and graduate students, teaches how to use Mathematica to solve a wide variety problems in mathematics and physics. It is illustrated with many detailed examples that require the student to construct meticulous, step-by-step, easy to read Mathematica programs.
The first section, in which the reader learns how to use a variety of Mathematica commands, avoids long discussions and overly sophisticated techniques. Its aim is to provide the reader with Mathematica proficiency quickly and efficiently.
The second section covers a broad range of applications in physics, engineering and applied mathematics, including Egyptian Fractions, Happy Numbers, Mersenne Numbers, Multibases, Quantum Harmonic Oscillator, Quantum Square Potential, Van der Pol Oscillator, Electrostatics, Motion of a Charged Particle in an Electromagnetic Field, Duffing Oscillator, Negative and Complex Bases, Tautochrone Curves, Kepler’s Laws, Foucault’s Pendulum, Iterated Function Systems, Public-Key Encryption, and Julia and Mandelbrot Sets.
The first part - examples, not long explanations. The second part-attractive applications.
Book Description
Intended as a companion for textbooks in mathematical methods for science and engineering, this book presents a large number of numerical topics and exercises together with discussions of methods for solving such problems using Mathematica(R). The accompanying CD contains Mathematica Notebooks for illustrating most of the topics in the text and for solving problems in mathematical physics. Although it is primarily designed for use with the author's "Mathematical Methods: For Students of Physics and Related Fields," the discussions in the book sufficiently self-contained that the book can be used as a supplement to any of the standard textbooks in mathematical methods for undergraduate students of physical sciences or engineering.
Customer Reviews:
succinct yet clear.......2003-12-25
I found the book to be very clear, and gives just enough of an explanation and examples to get one started and exploring. It certainly does not lead you by the hand, yet the author manages to pack in a lot of information. I found it to be one of the best introductions to Mathematica and higly recommend it to any science or math major.
Books:
- Mirror Symmetry (Clay Mathematics Monographs, V. 1)
- Modern Physics, Second Edition
- Monte Carlo Methods in Bayesian Computation (Springer Series in Statistics)
- Multivariate Calculus and Mathematica: With Applications to Geometry and Physics
- Nonlinear Optics and Quantum Electronics
- Official (ISC)2 Guide to the CISSP CBK ((Isc)2 Press Series)
- Physics for Scientists and Engineers (Study Guide and Student Solutions Manual)
- Physics: Principles with Applications (6th Edition)
- Precalculus: Functions and Graphs (2nd Edition) (MathXL Tutorials on CD Series)
- Principles and Techniques of Vibrations
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