Download or read book A Student s Guide to Fourier Transforms written by J. F. James and published by Cambridge University Press. This book was released on 2011-03-31 with total page 161 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Mathematical Methods in Physics written by Victor Henner and published by CRC Press. This book was released on 2009-06-18 with total page 859 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a text on partial differential equations (PDEs) of mathematical physics and boundary value problems, trigonometric Fourier series, and special functions. This is the core content of many courses in the fields of engineering, physics, mathematics, and applied mathematics. The accompanying software provides a laboratory environment that

Download or read book Mathematical Methods for Optical Physics and Engineering written by Gregory J. Gbur and published by Cambridge University Press. This book was released on 2011-01-06 with total page 819 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first textbook on mathematical methods focusing on techniques for optical science and engineering, this text is ideal for upper division undergraduate and graduate students in optical physics. Containing detailed sections on the basic theory, the textbook places strong emphasis on connecting the abstract mathematical concepts to the optical systems to which they are applied. It covers many topics which usually only appear in more specialized books, such as Zernike polynomials, wavelet and fractional Fourier transforms, vector spherical harmonics, the z-transform, and the angular spectrum representation. Most chapters end by showing how the techniques covered can be used to solve an optical problem. Essay problems based on research publications and numerous exercises help to further strengthen the connection between the theory and its applications.

Download or read book Fourier Transforms Mathematical Methods for Physics and Engineering written by Jorge L. Delyra and published by Mathematical Methods for Physi. This book was released on 2019-02-15 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: There is a longstanding conflict between extension and depth in the teaching of mathematics to physics students. This text intends to present an approach that tries to track what could be called the ``middle way'' in this conflict. It is the result of several years of experience of the author teaching the mathematical physics courses at the Physics Institute of the University of São Paulo. The text is organized in the form of relatively short chapters, each appropriate for exposition in one lecture. Each chapter includes a list of proposed problems, which have varied levels of difficulty, including practice problems, problems that complete and extend the material presented in the text, and some longer and more difficult problems, which are presented as challenges to the students. There are complete solutions available, detailed and commented, to all the problems proposed, which are presented in separate volumes. This volume is dedicated to Fourier transforms. This term is used here in a wider sense, including finite Fourier transforms, defined on a finite and discrete lattice, Fourier series, defined on a finite domain within the continuum, and the usual Fourier transforms, defined on the infinite continuum. This constitutes an elementary introduction to what is called, in its more abstract form, harmonic analysis. By means of the device of starting from the finite and discrete version of the formalism, which is done in the spirit of the definition of the Riemann integral, we are able to present in a clear way the basic structure of this whole formalism, while avoiding any need to face on this first moment the difficult convergence questions that arise when one takes the continuum limit. Once in the continuum, the convergence issues are addressed and put in proper perspective through the use of a low-pass filter, which is defined and developed in a fairly precise way. In the last two chapters the whole structure of the Fourier theory of real functions is derived ``ab initio'' once again, this time directly in the continuum, starting from the theory of analytic functions. There we present something that works like a universal summation rule, which applies to all Fourier series, and which allows us to recover any integrable real function from the set of its Fourier coefficients, even when the Fourier series itself diverges.

Download or read book Mathematical Methods in Physics and Engineering written by John W. Dettman and published by Courier Corporation. This book was released on 2013-01-23 with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt: Intended for college-level physics, engineering, or mathematics students, this volume offers an algebraically based approach to various topics in applied math. It is accessible to undergraduates with a good course in calculus which includes infinite series and uniform convergence. Exercises follow each chapter to test the student's grasp of the material; however, the author has also included exercises that extend the results to new situations and lay the groundwork for new concepts to be introduced later. A list of references for further reading will be found at the end of each chapter. For this second revised edition, Professor Dettman included a new section on generalized functions to help explain the use of the Dirac delta function in connection with Green's functions. In addition, a new approach to series solutions of ordinary differential equations has made the treatment independent of complex variable theory. This means that the first six chapters can be grasped without prior knowledge of complex variables. However, since Chapter 8 depends heavily on analytic functions of a complex variable, a new Chapter 7 on analytic function theory has been written.

Download or read book Mathematical Methods for Engineers and Scientists 3 written by Kwong-Tin Tang and published by Springer Science & Business Media. This book was released on 2007-01-10 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt: Pedagogical insights gained through 30 years of teaching applied mathematics led the author to write this set of student oriented books. Topics such as complex analysis, matrix theory, vector and tensor analysis, Fourier analysis, integral transforms, ordinary and partial differential equations are presented in a discursive style that is readable and easy to follow. Numerous examples, completely worked out, together with carefully selected problem sets with answers are used to enhance students' understanding and manipulative skill. The goal is to make students comfortable in using advanced mathematical tools in junior, senior, and beginning graduate courses.

Download or read book Mathematical Methods for Physics and Engineering written by Kenneth Franklin Riley and published by . This book was released on 1997 with total page 1008 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book A Student s Guide to Fourier Transforms written by John Francis James and published by Cambridge University Press. This book was released on 2002-09-19 with total page 156 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fourier transform theory is of central importance in a vast range of applications in physical science, engineering, and applied mathematics. This new edition of a successful student text provides a concise introduction to the theory and practice of Fourier transforms, using qualitative arguments wherever possible and avoiding unnecessary mathematics. After a brief description of the basic ideas and theorems, the power of the technique is then illustrated by referring to particular 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-aided tomography (CAT-scanning). The final chapter discusses digital methods, with particular attention to the fast Fourier transform. Throughout, discussion of these applications is reinforced by the inclusion of worked examples. The book assumes no previous knowledge of the subject, and will be invaluable to students of physics, electrical and electronic engineering, and computer science.

Download or read book Solutions for Fourier Transforms Mathematical Methods for Physics and Engineering Volume 2s written by Jorge L. Delyra and published by Mathematical Methods for Physi. This book was released on 2019-02-15 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt: There is a longstanding conflict between extension and depth in the teaching of mathematics to physics students. This text intends to present an approach that tries to track what could be called the ``middle way'' in this conflict. It is the result of several years of experience of the author teaching the mathematical physics courses at the Physics Institute of the University of São Paulo. The text is organized in the form of relatively short chapters, each appropriate for exposition in one lecture. Each chapter of the text includes a list of proposed problems, which have varied levels of difficulty, including practice problems, problems that complete and extend the material presented in the text, and some longer and more difficult problems, which are presented as challenges to the students. This is Volume 2S, and is the companion volume to Volume 2, which is dedicated to the Fourier transforms. It includes all the 79 problems proposed in the text, with complete solutions, which are detailed and commented. The solutions are organized according to the 12 chapters of the corresponding volume of the text.

Download or read book Mathematical Methods for Physics and Engineering written by Kenneth Franklin Riley and published by Cambridge University Press. This book was released on 1997 with total page 1258 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Fourier Series Fourier Transform and Their Applications to Mathematical Physics written by Valery Serov and published by Springer. This book was released on 2018-08-31 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text serves as an introduction to the modern theory of analysis and differential equations with applications in mathematical physics and engineering sciences. Having outgrown from a series of half-semester courses given at University of Oulu, this book consists of four self-contained parts. The first part, Fourier Series and the Discrete Fourier Transform, is devoted to the classical one-dimensional trigonometric Fourier series with some applications to PDEs and signal processing. The second part, Fourier Transform and Distributions, is concerned with distribution theory of L. Schwartz and its applications to the Schrödinger and magnetic Schrödinger operations. The third part, Operator Theory and Integral Equations, is devoted mostly to the self-adjoint but unbounded operators in Hilbert spaces and their applications to integral equations in such spaces. The fourth and final part, Introduction to Partial Differential Equations, serves as an introduction to modern methods for classical theory of partial differential equations. Complete with nearly 250 exercises throughout, this text is intended for graduate level students and researchers in the mathematical sciences and engineering.

Download or read book Mathematical Methods for Engineers and Scientists 2 written by Kwong-Tin Tang and published by Springer Science & Business Media. This book was released on 2006-11-30 with total page 345 pages. Available in PDF, EPUB and Kindle. Book excerpt: Pedagogical insights gained through 30 years of teaching applied mathematics led the author to write this set of student-oriented books. Topics such as complex analysis, matrix theory, vector and tensor analysis, Fourier analysis, integral transforms, ordinary and partial differential equations are presented in a discursive style that is readable and easy to follow. Numerous clearly stated, completely worked out examples together with carefully selected problem sets with answers are used to enhance students' understanding and manipulative skill. The goal is to help students feel comfortable and confident in using advanced mathematical tools in junior, senior, and beginning graduate courses.

Download or read book Mathematical Methods in Physics Engineering and Chemistry written by Brett Borden and published by John Wiley & Sons. This book was released on 2019-10-23 with total page 675 pages. Available in PDF, EPUB and Kindle. Book excerpt: A concise and up-to-date introduction to mathematical methods for students in the physical sciences Mathematical Methods in Physics, Engineering and Chemistry offers an introduction to the most important methods of theoretical physics. Written by two physics professors with years of experience, the text puts the focus on the essential math topics that the majority of physical science students require in the course of their studies. This concise text also contains worked examples that clearly illustrate the mathematical concepts presented and shows how they apply to physical problems. This targeted text covers a range of topics including linear algebra, partial differential equations, power series, Sturm-Liouville theory, Fourier series, special functions, complex analysis, the Green’s function method, integral equations, and tensor analysis. This important text: Provides a streamlined approach to the subject by putting the focus on the mathematical topics that physical science students really need Offers a text that is different from the often-found definition-theorem-proof scheme Includes more than 150 worked examples that help with an understanding of the problems presented Presents a guide with more than 200 exercises with different degrees of difficulty Written for advanced undergraduate and graduate students of physics, materials science, and engineering, Mathematical Methods in Physics, Engineering and Chemistry includes the essential methods of theoretical physics. The text is streamlined to provide only the most important mathematical concepts that apply to physical problems.

Download or read book Mathematical Methods in Engineering and Physics written by Gary N. Felder and published by John Wiley & Sons. This book was released on 2015-04-13 with total page 829 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text is intended for the undergraduate course in math methods, with an audience of physics and engineering majors. As a required course in most departments, the text relies heavily on explained examples, real-world applications and student engagement. Supporting the use of active learning, a strong focus is placed upon physical motivation combined with a versatile coverage of topics that can be used as a reference after students complete the course. Each chapter begins with an overview that includes a list of prerequisite knowledge, a list of skills that will be covered in the chapter, and an outline of the sections. Next comes the motivating exercise, which steps the students through a real-world physical problem that requires the techniques taught in each chapter.

Download or read book Mathematical Methods for Physicists and Engineers written by Royal Eugene Collins and published by Courier Corporation. This book was released on 2012-06-11 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: Practical text focuses on fundamental applied math needed to deal with physics and engineering problems: elementary vector calculus, special functions of mathematical physics, calculus of variations, much more. 1968 edition.

Download or read book Fourier Series Fourier Transform and Their Applications to Mathematical Physics written by Valery Serov and published by Springer. This book was released on 2017-11-26 with total page 519 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text serves as an introduction to the modern theory of analysis and differential equations with applications in mathematical physics and engineering sciences. Having outgrown from a series of half-semester courses given at University of Oulu, this book consists of four self-contained parts. The first part, Fourier Series and the Discrete Fourier Transform, is devoted to the classical one-dimensional trigonometric Fourier series with some applications to PDEs and signal processing. The second part, Fourier Transform and Distributions, is concerned with distribution theory of L. Schwartz and its applications to the Schrödinger and magnetic Schrödinger operations. The third part, Operator Theory and Integral Equations, is devoted mostly to the self-adjoint but unbounded operators in Hilbert spaces and their applications to integral equations in such spaces. The fourth and final part, Introduction to Partial Differential Equations, serves as an introduction to modern methods for classical theory of partial differential equations. Complete with nearly 250 exercises throughout, this text is intended for graduate level students and researchers in the mathematical sciences and engineering.

Download or read book A Course in Mathematical Methods for Physicists written by Russell L. Herman and published by CRC Press. This book was released on 2013-12-04 with total page 776 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on the author's junior-level undergraduate course, this introductory textbook is designed for a course in mathematical physics. Focusing on the physics of oscillations and waves, A Course in Mathematical Methods for Physicists helps students understand the mathematical techniques needed for their future studies in physics. It takes a bottom-u