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Real Analysis is a discipline of intensive study in many institutions of higher education, because it contains useful concepts and fundamental results in the study of mathematics and physics, of the technical disciplines and geometry. This book is the first one of its kind that solves mathematical analysis problems with all four related main software Matlab, Mathcad, Mathematica and Maple. Besides the fundamental theoretical notions, the book contains many exercises, solved both mathematically and by computer, using: Matlab 7.9, Mathcad 14, Mathematica 8 or Maple 15 programming languages. The book is divided into nine chapters, which illustrate the application of the mathematical concepts using the computer. Each chapter presents the fundamental concepts and the elements required to solve the problems contained in that chapter and finishes with some problems left to be solved by the readers. The calculations can be verified by using a specific software such as Matlab, Mathcad, Mathematica or Maple.
Geometrical optics -- Data processing. --- Geometrical optics. --- MathCAD. --- Engineering & Applied Sciences --- Mathematics --- Physical Sciences & Mathematics --- Computer Science --- Mathematical Statistics --- Mathematical analysis --- Computer programs. --- Data processing. --- Engineering. --- Mathematical analysis. --- Analysis (Mathematics). --- Computer mathematics. --- Computational intelligence. --- Computational Intelligence. --- Computational Mathematics and Numerical Analysis. --- Analysis. --- Intelligence, Computational --- Artificial intelligence --- Computer mathematics --- Discrete mathematics --- Electronic data processing --- 517.1 Mathematical analysis --- Construction --- Industrial arts --- Technology --- Soft computing --- Computer science --- Global analysis (Mathematics). --- Mathematics. --- Analysis, Global (Mathematics) --- Differential topology --- Functions of complex variables --- Geometry, Algebraic
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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 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, 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 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.".
Geometrical optics --- Data processing. --- MathCAD. --- Optics, Geometrical --- Optics --- Microwaves. --- Engineering. --- Classical Electrodynamics. --- Quantum Optics. --- Theoretical, Mathematical and Computational Physics. --- Optics, Lasers, Photonics, Optical Devices. --- Microwaves, RF and Optical Engineering. --- Engineering, general. --- Construction --- Industrial arts --- Technology --- Hertzian waves --- Electric waves --- Electromagnetic waves --- Geomagnetic micropulsations --- Radio waves --- Shortwave radio --- Optics. --- Electrodynamics. --- Quantum optics. --- Mathematical physics. --- Lasers. --- Photonics. --- Optical engineering. --- New optics --- Light amplification by stimulated emission of radiation --- Masers, Optical --- Optical masers --- Light amplifiers --- Light sources --- Optoelectronic devices --- Nonlinear optics --- Optical parametric oscillators --- Physical mathematics --- Physics --- Photons --- Quantum theory --- Dynamics --- Light --- Mechanical engineering --- Mathematics --- Geometrical optics - Data processing
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