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This introduction to Laplace transforms and Fourier series is aimed at second year students in applied mathematics. It is unusual in treating Laplace transforms at a relatively simple level with many examples. Mathematics students do not usually meet this material until later in their degree course but applied mathematicians and engineers need an early introduction. Suitable as a course text, it will also be of interest to physicists and engineers as supplementary material.

This advanced undergraduate/graduate textbook provides an easy-to-read account of Fourier series, wavelets and Laplace transforms. It features many worked examples with all solutions provided.

This textbook describes in detail the various Fourier and Laplace transforms that are used to analyze problems in mathematics, the natural sciences and engineering. These transforms decompose complicated signals into elementary signals, and are widely used across the spectrum of science and engineering. Applications include electrical and mechanical networks, heat conduction and filters. In contrast with other books, continuous and discrete transforms are given equal coverage.

This textbook describes in detail the various Fourier and Laplace transforms that are used to analyze problems in mathematics, the natural sciences and engineering. These transforms decompose complicated signals into elementary signals, and are widely used across the spectrum of science and engineering. Applications include electrical and mechanical networks, heat conduction and filters. In contrast with other books, continuous and discrete transforms are given equal coverage.

This advanced undergraduate/graduate textbook provides an easy-to-read account of Fourier series, wavelets and Laplace transforms. It features many worked examples with all solutions provided.

Beginning with the question, "What is a transform?" this text presents a complete description of all four forms of the Fourier transform with properties. How to plot complex exponential functions. The forward and inverse Laplace transform for continuous-time signals, and the forward and inverse z transform for discrete-time signals. Insight into the process of finding transforms. Specifically how to estimate the Fourier transform of both continuous-time signals and discrete-time signals from Argand plots of complex exponential signals.

XIX, 502 Seiten. Ehemaliges Bibliotheksexemplar, entsprechende Markierungen innen und mit Rückensignatur. Einband bestoßen und verschrammt. Insgesamt noch gut erhalten. 9027706220 Sprache: Englisch Gewicht in Gramm: 4000

The Fourier transform technique has been widely used in electrical engineer­ ing, which covers signal processing, communication, system control, electro­ magnetics, and optics. The Fourier transform-technique is particularly useful in electromagnetics and optics since it provides a convenient mathematical representation for wave scattering, diffraction, and propagation. Thus the Fourier transform technique has been long applied to the wave scattering problems that are often encountered in microwave antenna, radiation, diffrac­ tion, and electromagnetic interference. In order to u~derstand wave scattering in general, it is necessary to solve the wave equation subject to the prescribed boundary conditions. The purpose of this monograph is to present rigorous so­ lutions to the boundary-value problems by solving the wave equation based on the Fourier transform. In this monograph the technique of separation of vari­ ables is used to solve the wave equation for canonical scattering geometries such as conducting waveguide structures and rectangular/circular apertures. The Fourier transform, mode-matching, and residue calculus techniques are applied to obtain simple, analytic, and rapidly-convergent series solutions. The residue calculus technique is particularly instrumental in converting the solutions into series representations that are efficient and amenable to nu­ merical analysis. We next summarize the steps of analysis method for the scattering problems considered in this book. 1. Divide the scattering domain into closed and open regions. 2. Represent the scattered fields in the closed and open regions in terms of the Fourier series and transform, respectively. 3.

This book is an introduction to Fourier Transformation with a focus on signal analysis, based on the first edition. It is well suited for undergraduate students in physics, mathematics, electronic engineering as well as for scientists in research and development. It gives illustrations and recommendations when using existing Fourier programs and thus helps to avoid frustrations. Moreover, it is entertaining and you will learn a lot unconsciously. Fourier series as well as continuous and discrete Fourier transformation are discussed with particular emphasis on window functions. Filter effects of digital data processing are illustrated. Two new chapters are devoted to modern applications. The first deals with data streams and fractional delays and the second with the back-projection of filtered projections in tomography. There are many figures and mostly easy to solve exercises with solutions.

This book is an introduction to Fourier Transformation with a focus on signal analysis, based on the first edition. It is well suited for undergraduate students in physics, mathematics, electronic engineering as well as for scientists in research and development. It gives illustrations and recommendations when using existing Fourier programs and thus helps to avoid frustrations. Moreover, it is entertaining and you will learn a lot unconsciously. Fourier series as well as continuous and discrete Fourier transformation are discussed with particular emphasis on window functions. Filter effects of digital data processing are illustrated. Two new chapters are devoted to modern applications. The first deals with data streams and fractional delays and the second with the back-projection of filtered projections in tomography. There are many figures and mostly easy to solve exercises with solutions.

The Fourier transform technique has been widely used in electrical engineer­ ing, which covers signal processing, communication, system control, electro­ magnetics, and optics. The Fourier transform-technique is particularly useful in electromagnetics and optics since it provides a convenient mathematical representation for wave scattering, diffraction, and propagation. Thus the Fourier transform technique has been long applied to the wave scattering problems that are often encountered in microwave antenna, radiation, diffrac­ tion, and electromagnetic interference. In order to u~derstand wave scattering in general, it is necessary to solve the wave equation subject to the prescribed boundary conditions. The purpose of this monograph is to present rigorous so­ lutions to the boundary-value problems by solving the wave equation based on the Fourier transform. In this monograph the technique of separation of vari­ ables is used to solve the wave equation for canonical scattering geometries such as conducting waveguide structures and rectangular/circular apertures. The Fourier transform, mode-matching, and residue calculus techniques are applied to obtain simple, analytic, and rapidly-convergent series solutions. The residue calculus technique is particularly instrumental in converting the solutions into series representations that are efficient and amenable to nu­ merical analysis. We next summarize the steps of analysis method for the scattering problems considered in this book. 1. Divide the scattering domain into closed and open regions. 2. Represent the scattered fields in the closed and open regions in terms of the Fourier series and transform, respectively. 3.

Gut/Very good: Buch bzw. Schutzumschlag mit wenigen Gebrauchsspuren an Einband, Schutzumschlag oder Seiten. / Describes a book or dust jacket that does show some signs of wear on either the binding, dust jacket or pages.

Gut/Very good: Buch bzw. Schutzumschlag mit wenigen Gebrauchsspuren an Einband, Schutzumschlag oder Seiten. / Describes a book or dust jacket that does show some signs of wear on either the binding, dust jacket or pages.

Neuware - Eine Demontage des Stereotyps vom »Ostjuden«Seit Ende des 19. Jahrhunderts, vor allem aber seit Anfang der 1920er Jahre war Berlin für Juden aus Osteuropa Zuflucht und Zwischenstation. Die deutsche Metropole wurde eines der größten Migrationszentren in Europa.Die jüdischen Einwanderer aus Osteuropa waren zumeist Kriegs-, Pogrom- und Revolutionsflüchtlinge. Sie unterschieden sich nach Sozialstatus ebenso wie nach kulturellen und politischen Optionen. Verbunden waren sie jedoch durch Erinnerungen an das, was sie erlebt und zurückgelassen hatten. Viele der Migranten lebten im Scheunenviertel, andere im bürgerlichen Charlottenburg, das aufgrund des hohen russischen Anteils der Bevölkerung auch Charlottengrad genannt wurde.Das erlebte Leid und die Erfahrungen in der Fremde trennten die Flüchtlinge von der deutschen Gesellschaft. Gleichzeitig kam es aber - vor allem in Kreisen der Arbeiterbewegung und der Literaturavantgarde - zu Verflechtungen und Wechselwirkungen west- und osteuropäischer Einflüsse. Die Einwanderer machten Berlin zu einem Zentrum jüdischer Kultur und waren zugleich Teil der multikulturellen Stadtlandschaft. Ihre Erfahrungen, Weltwahrnehmungen und Überlebensstrategien in der Großstadt stehen im Mittelpunkt des Bandes.Etwa die Hälfte der Beiträge ist in englischer Sprache verfasst.

Befriedigend/Good: Durchschnittlich erhaltenes Buch bzw. Schutzumschlag mit Gebrauchsspuren, aber vollständigen Seiten. / Describes the average WORN book or dust jacket that has all the pages present.

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.

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.

This book presents the theory and applications of Fourier series and integrals, eigenfunction expansions, and related topics, on a level suitable for advanced undergraduates. It includes material on Bessel functions, orthogonal polynomials, and Laplace transforms, and it concludes with chapters on generalized functions and Green's functions for ordinary and partial differential equations. The book deals almost exclusively with aspects of these subjects that are useful in physics and engineering, and includes a wide variety of applications. On the theoretical side, it uses ideas from modern analysis to develop the concepts and reasoning behind the techniques without getting bogged down in the technicalities of rigorous proofs.

Zustand: Gut - Gebrauchs- und Lagerspuren. Außen: verschmutzt, zerkratzt. Seiten: 268 Sprache: Französisch Produktart: Bücher

This book presents the theory and applications of Fourier series and integrals, Laplace Transforms, eigenfunction expansions, and related topics. It deals almost exclusively with those aspects of Fourier analysis that are useful in physics and engineering. Using ideas from modern analysis, it discusses the concepts and reasoning behind the techniques without getting bogged down in the technicalities of rigorous proofs. A wide variety of applications are included, in addition to discussions of integral equations and signal analysis.