A Student's Guide to Fourier Transforms

With Applications in Physics and Engineering

Author: J. F. James

Publisher: Cambridge University Press

ISBN: 1139493949

Category: Science

Page: N.A

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Fourier transform theory is of central importance in a vast range of applications in physical science, engineering and applied mathematics. Providing a concise introduction to the theory and practice of Fourier transforms, this book is invaluable to students of physics, electrical and electronic engineering, and computer science. After a brief description of the basic ideas and theorems, the power of the technique is illustrated through applications in optics, spectroscopy, electronics and telecommunications. The rarely discussed but important field of multi-dimensional Fourier theory is covered, including a description of Computer Axial Tomography (CAT scanning). The book concludes by discussing digital methods, with particular attention to the Fast Fourier Transform and its implementation. This new edition has been revised to include new and interesting material, such as convolution with a sinusoid, coherence, the Michelson stellar interferometer and the van Cittert–Zernike theorem, Babinet's principle and dipole arrays.
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Mathematics for Physical Chemistry

Author: Robert G. Mortimer

Publisher: Academic Press

ISBN: 0123978459

Category: Science

Page: 272

View: 456

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Mathematics for Physical Chemistry is the ideal supplementary text for practicing chemists and students who want to sharpen their mathematics skills while enrolled in general through physical chemistry courses. This book specifically emphasizes the use of mathematics in the context of physical chemistry, as opposed to being simply a mathematics text. This 4e includes new exercises in each chapter that provide practice in a technique immediately after discussion or example and encourage self-study. The early chapters are constructed around a sequence of mathematical topics, with a gradual progression into more advanced material. A final chapter discusses mathematical topics needed in the analysis of experimental data. Numerous examples and problems interspersed throughout the presentations Each extensive chapter contains a preview and objectives Includes topics not found in similar books, such as a review of general algebra and an introduction to group theory Provides chemistry-specific instruction without the distraction of abstract concepts or theoretical issues in pure mathematics
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Dr. Euler's Fabulous Formula

Cures Many Mathematical Ills

Author: Paul J. Nahin

Publisher: Princeton University Press

ISBN: 9780691118222

Category: Mathematics

Page: 380

View: 6718

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Accessible to any reader with the equivalent of the first two years of college mathematics, this is the story behind one of the world's most influential mathematical equations. 2 halftones. 77 line illustrations.
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Introduction to Fourier Optics

Author: Joseph W. Goodman

Publisher: Roberts and Company Publishers

ISBN: 9780974707723

Category: Family & Relationships

Page: 491

View: 7829

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This textbook deals with fourier analysis applications in optics, and in particular with its applications to diffraction, imaging, optical data processing, holography and optical communications. Fourier analysis is a universal tool that has found application within a wide range of areas in physics and engineering and this third edition has been written to help your students understand the complexity of a subject that can be challenging to grasp at times. Chapters cover foundations of scalar diffraction theory, Fresnel and Fraunhofer diffraction moving onto Wave-Optics Analysis of Coherent Optical Systems and Wavefront Modulation. Joseph Goodman’s work in Electrical Engineering has been recognised by a variety of awards and honours, so his text is able to guide students through a comprehensive introduction into Fourier Optics.
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Mathematical Methods for Physics and Engineering

A Comprehensive Guide

Author: K. F. Riley,M. P. Hobson,S. J. Bence

Publisher: Cambridge University Press

ISBN: 1139450999

Category: Science

Page: N.A

View: 583

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The third edition of this highly acclaimed undergraduate textbook is suitable for teaching all the mathematics for an undergraduate course in any of the physical sciences. As well as lucid descriptions of all the topics and many worked examples, it contains over 800 exercises. New stand-alone chapters give a systematic account of the 'special functions' of physical science, cover an extended range of practical applications of complex variables, and give an introduction to quantum operators. Further tabulations, of relevance in statistics and numerical integration, have been added. In this edition, half of the exercises are provided with hints and answers and, in a separate manual available to both students and their teachers, complete worked solutions. The remaining exercises have no hints, answers or worked solutions and can be used for unaided homework; full solutions are available to instructors on a password-protected web site, www.cambridge.org/9780521679718.
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A Student's Guide to Infinite Series and Sequences

Author: Bernhard W. Bach, Jr.

Publisher: Cambridge University Press

ISBN: 1107059828

Category: Mathematics

Page: 160

View: 1044

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An informal and practically focused introduction for undergraduate students exploring infinite series and sequences in engineering and the physical sciences. With a focus on practical applications in real world situations, it helps students to conceptualize the theory with real-world examples and to build their skill set.
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Physics of Electric Propulsion

Author: Robert G. Jahn

Publisher: Courier Corporation

ISBN: 0486138674

Category: Science

Page: 368

View: 5505

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Geared toward advanced undergraduates and graduate students, this text develops the concepts of electrical acceleration of gases for propulsion, from primary physical principles to realistic space thruster designs. 1968 edition.
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Abstract Algebra

Author: W. E. Deskins

Publisher: Courier Corporation

ISBN: 0486158462

Category: Mathematics

Page: 656

View: 2918

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Excellent textbook provides undergraduates with an accessible introduction to the basic concepts of abstract algebra and to the analysis of abstract algebraic systems. Features many examples and problems.
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