Numerical Solutions of Initial Value Problems Using Mathematica, Sujaul Chowdhury, Ponkog Kumar Das
Автор: Sujaul Chowdhury, Ponkog Kumar Das Название: Numerical Solutions of Initial Value Problems Using Mathematica ISBN: 1681749734 ISBN-13(EAN): 9781681749730 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 5405.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The book contains a detailed account of numerical solutions of differential equations of elementary problems of Physics using Euler and 2nd order Runge-Kutta methods and Mathematica 6.0. The problems are motion under constant force (free fall), motion under Hooke's law force (simple harmonic motion), motion under combination of Hooke's law force and a velocity dependent damping force (damped harmonic motion) and radioactive decay law. Also included are uses of Mathematica in dealing with complex numbers, in solving system of linear equations, in carrying out differentiation and integration, and in dealing with matrices.
Описание: This new edition is intended for a one semester course in optics for juniors and seniors in science and engineering. It uses scripts from Maple, MathCad, Mathematica, and MATLAB to provide a simulated laboratory where students can learn by exploration and discovery instead of passive absorption.The text covers all the standard topics of a traditional optics course, including: geometrical optics and aberration, interference and diffraction, coherence, Maxwell's equations, wave guides and propagating modes, blackbody radiation, atomic emission and lasers, optical properties of materials, Fourier transforms and FT spectroscopy, image formation, and holography. It contains step by step derivations of all basic formulas in geometrical, wave and Fourier optics.The basic text is supplemented by over 170 files in Maple, MathCad, Mathematica, and MATLAB (many of which are in the text; al scripts are included on the CD), each suggesting programs to solve a particular problem, and each linked to a topic in or application of optics. The computer files are dynamic, allowing the reader to see instantly the effects of changing parameters in the equations. Students are thus encouraged to ask "What if?" questions to asses the physical implications of the formulas. The discussion of Fourier transforms in particular is enhanced by the availability of numerical methods.The book is written for the study of particular projects but can easily be adapted to other situations. The threefold arrangement of text, applications, and files makes the book suitable for "self-learning" by scientists or engineers who would like to refresh their knowledge of optics.In the classroom, the Maple, MathCad, Mathematica, and MATLAB scripts can serve as starting points for homework; outside, they can help find solutions to complex problems in engineering applications.Some praise for the previous edition:OPTICS AND PHOTONICS NEWS [OCTOBER 2004]"This book and its companion CD cover geometrical optics, electromagnetic theory, interference, diffraction and coherence theory. Chapters on optical constants, blackbody radiation, emission and absorption, lasers, holography and Fourier transform spectroscopy broaden its scope. The packet contains over 170 MathCAD files linked to specific topics and applications. … [T]he main virtues of the book are the excellent photographs of basic optical phenomena. … The index is comprehensive. … [The book] will certainly be helpful to … students in an introductory optics course."THE PHYSICIST (March/April 2004)"The author has developed a suite of model programs covering the whole spectrum of optics from classical geometric ray to wave and modern optics. Illustrative resonator and waveguide modes are also part of the program mix as well as introductory laser theory. In addition to an optics course, this book would be useful in a 3rd or 4th year electromagnetism course as well as an introduction to lasers and resonators. There are certainly more topics in this text than could possibly be covered in the typical 30 hour one semester course. ... All formulas and diagrams are provided in Adobe .pdf files as well for transcription into other software suites or inclusion in notes. This book is a comprehensive optics text that has been written in a mode to encourage students to run the models, do the calculations and generate their own illustrations. ... The book would serve as an excellent text for undergraduate use and reference for laboratory simulation experiments."
Автор: Romano, Antonio Marasco, Addolorata Название: Classical mechanics with mathematica ISBN: 3319775944 ISBN-13(EAN): 9783319775944 Издательство: Springer Рейтинг: Цена: 7965.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This textbook takes a broad yet thorough approach to mechanics, aimed at bridging the gap between classical analytic and modern differential geometric approaches to the subject.
Автор: Walecka, John Dirk (college Of William & Mary, Usa) Название: Introduction to general relativity: solutions to problems ISBN: 9813227699 ISBN-13(EAN): 9789813227699 Издательство: World Scientific Publishing Рейтинг: Цена: 6653.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
It is important for every physicist today to have a working knowledge of Einstein's theory of general relativity. Introduction to General Relativity published in 2007 was aimed at first-year graduate students, or advanced undergraduates, in physics. Only a basic understanding of classical lagrangian mechanics is assumed; beyond that, the reader should find the material to be self-contained.
The mechanics problem of a point mass constrained to move without friction on a two-dimensional surface of arbitrary shape serves as a paradigm for the development of the mathematics and physics of general relativity. Special relativity is reviewed. The basic principles of general relativity are then presented, and the most important applications are discussed. The final special topics section takes the reader up to a few areas of current research. An extensive set of accessible problems enhances and extends the coverage.
As a learning and teaching tool, this current book provides solutions to those problems. This text and solutions manual are meant to provide an introduction to the subject. It is hoped that these books will allow the reader to approach the more advanced texts and monographs, as well as the continual influx of fascinating new experimental results, with a deeper understanding and sense of appreciation.
This volume presents a collection of problems and solutions in differential geometry with applications. Both introductory and advanced topics are introduced in an easy-to-digest manner, with the materials of the volume being self-contained. In particular, curves, surfaces, Riemannian and pseudo-Riemannian manifolds, Hodge duality operator, vector fields and Lie series, differential forms, matrix-valued differential forms, Maurer-Cartan form, and the Lie derivative are covered.
Readers will find useful applications to special and general relativity, Yang-Mills theory, hydrodynamics and field theory. Besides the solved problems, each chapter contains stimulating supplementary problems and software implementations are also included. The volume will not only benefit students in mathematics, applied mathematics and theoretical physics, but also researchers in the field of differential geometry.
Описание: In 1936, Joseph Margoshes (1866-1955), a writer for the New York Yiddish daily Morgen Journal, published a memoir of his youth in Austro-Hungarian Galicia. He evoked a world that had been changed almost beyond recognition as a result of the First World War and was shortly to be completely obliterated by the Holocaust. It is an important evocation of an entire Jewish society and civilization.
Описание: Provides a comprehensive collection of problems together with their detailed solutions in the field of Theoretical and Mathematical Physics. This work covers the techniques and methods in theoretical and mathematical physics.
Описание: Provides a comprehensive collection of problems together with their detailed solutions in the field of Theoretical and Mathematical Physics. This book covers the techniques and methods in theoretical and mathematical physics.
Автор: Sujaul Chowdhury, Ponkog Kumar Das, Syed Badiuzzaman Faruque Название: Numerical Solutions of Boundary Value Problems with Finite Difference Method ISBN: 1643272810 ISBN-13(EAN): 9781643272818 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 9979.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book contains an extensive illustration of use of finite difference method in solving the boundary value problem numerically. A wide class of differential equations has been numerically solved in this book. Starting with differential equations of elementary functions like hyperbolic, sine and cosine, we have solved those of special functions like Hermite, Laguerre and Legendre. Those of Airy function, of stationary localised wavepacket, of the quantum mechanical problem of a particle in a 1D box, and the polar equation of motion under gravitational interaction have also been solved. Mathematica 6.0 has been used to solve the system of linear equations that we encountered and to plot the numerical data. Comparison with known analytic solutions showed nearly perfect agreement in every case. On reading this book, readers will become adept in using the method.
Автор: Sujaul Chowdhury, Ponkog Kumar Das, Syed Badiuzzaman Faruque Название: Numerical Solutions of Boundary Value Problems with Finite Difference Method ISBN: 1643272772 ISBN-13(EAN): 9781643272771 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 6930.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book contains an extensive illustration of use of finite difference method in solving the boundary value problem numerically. A wide class of differential equations has been numerically solved in this book. Starting with differential equations of elementary functions like hyperbolic, sine and cosine, we have solved those of special functions like Hermite, Laguerre and Legendre. Those of Airy function, of stationary localised wavepacket, of the quantum mechanical problem of a particle in a 1D box, and the polar equation of motion under gravitational interaction have also been solved. Mathematica 6.0 has been used to solve the system of linear equations that we encountered and to plot the numerical data. Comparison with known analytic solutions showed nearly perfect agreement in every case. On reading this book, readers will become adept in using the method.
Автор: William Haneberg Название: Computational Geosciences with Mathematica ISBN: 3642621570 ISBN-13(EAN): 9783642621574 Издательство: Springer Рейтинг: Цена: 14365.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The reference and text leads readers step-by-step through geologic applications such as custom graphics programming, data input and output, linear and differential equations, linear and nonlinear regression, Monte Carlo simulation, time series and image analysis, and the visualization and analysis of geologic surfaces.
This volume presents a collection of problems and solutions in differential geometry with applications. Both introductory and advanced topics are introduced in an easy-to-digest manner, with the materials of the volume being self-contained. In particular, curves, surfaces, Riemannian and pseudo-Riemannian manifolds, Hodge duality operator, vector fields and Lie series, differential forms, matrix-valued differential forms, Maurer-Cartan form, and the Lie derivative are covered.
Readers will find useful applications to special and general relativity, Yang-Mills theory, hydrodynamics and field theory. Besides the solved problems, each chapter contains stimulating supplementary problems and software implementations are also included. The volume will not only benefit students in mathematics, applied mathematics and theoretical physics, but also researchers in the field of differential geometry.
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