Group Theory in Solid State Physics and Photonics - Problem Solving with Mathematica, W Hergert; R Matthias Geilhufe
Автор: Wellin Название: Programming with Mathematica ® ISBN: 1107009464 ISBN-13(EAN): 9781107009462 Издательство: Cambridge Academ Рейтинг: Цена: 11880.00 р. Наличие на складе: Поставка под заказ.
Описание: Starting from first principles, this book covers all of the foundational material needed to develop a clear understanding of the Mathematica language, with a practical emphasis on solving problems. Concrete examples throughout the text demonstrate how Mathematica can be used to solve problems in science, engineering, economics/finance, computational linguistics, geoscience, bioinformatics, and a range of other fields. The book will appeal to students, researchers and programmers wishing to further their understanding of Mathematica. Designed to suit users of any ability, it assumes no formal knowledge of programming so it is ideal for self-study. Over 290 exercises are provided to challenge the reader's understanding of the material covered and these provide ample opportunity to practice using the language. Mathematica notebooks containing examples, programs and solutions to exercises are available from www.cambridge.org/wellin.
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."
Описание: starting from an analytical derivation of exact governing equations, constructing discretizations and analytical formulas of a numerical method, performing numerical procedure, obtaining various visualizations, and comparing the numerical solution obtained with other types of solutions considered in the book, e.g.
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