Product Description
This scarce antiquarian book is a selection from Kessinger Publishing's Legacy Reprint Series. Due to its age, it may contain imperfections such as marks, notations, marginalia and flawed pages. Because we believe this work is culturally important, we have made it available as part of our commitment to protecting, preserving, and promoting the world's literature. Kessinger Publishing is the place to find hundreds of thousands of rare and hard-to-find books with something of interest for everyone! ... Read more

Customer Reviews (1)

A dry classic
The book opens with a long preface and introduction in excellent 19th century style. Chapter 1 also gives the basic principles of heat, such as what we call "Newton's law of cooling" (sec. 3). From here we derive the heat equation (chapter 2, esp. §142). In chapter 3 we solve the heat equation for an infinite rectangle with given boundary conditions. This of course calls for the principles of Fourier analysis, which are explained in full generality (sec. 6). Then in chapters 4-8 we do the same thing for other bodies (rings, spheres, infinite cylinders, infinite rectangular prisms, cubes). In the case of cylinders, Fourier series are not appropriate to solve the corresponding heat equation in polar coordinates, so we must introduce Bessel functions. In chapter 9 we study the diffusion of heat in bodies with no boundary influence. The simplest example is the isolated, infinite line. This leads to Fourier integrals. Throughout, the theory is essentially identical to the modern one, except that Fourier couldn't care less about about convergence and such. It is understandable that Fourier wished to devote an entire book to the rudiments of Fourier analysis. I still think it's a pity that he didn't find it appropriate to include his favourite application: "The problem of the terrestrial temperatures presents one of the most beautiful applications of the theory of heat", he says (§12), but does not treat this problem further here. ... Read more

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Fourier analysis is a ubiquitous tool that has found application to diverse areas of physics and engineering. This book deals with its applications in optics, and in particular with its applications to diffraction, imaging, optical data processing, holography and optical communications. ... Read more

Customer Reviews (11)

Provides the necessary background for diffraction physics
I read this book thirty years ago in order to get up to speed on Fresnel diffraction and the Kirchhoff integral as discussed in John Cowley's seminal work "Diffraction Physics".Indeed, this book is recommended by Cowley as a necessary prerequisite.Goodman does a good job laying the groundwork for Fresnal diffraction, complete with a detailed exploration of the boundary conditions.After reading the first several chapters of this book, the reader should be ready to tackle Cowley.

The Bible for Ultrasound Beamforming
This is probably my favorite text book of all time.Dr. Goodman's writing is excellent, providing heuristic insight into complex concepts using a very readable style.He is the Richard Feynman of optics.

And other than chapters specific to polarization, this book is entirely applicable to phased array ultrasound.For anyone whos works or studies in the ultrasound field, this book is a must, especially if you have an interest in acoustic beamforming.All the wave and Fourier concepts that apply to light also apply to ultrasound.

Should be on every optiker's book shelf
I use this book all the time as a reference for Fourier optics.It has useful tables of common Fourier transforms found in optics work and far-field diffraction patterns worked out for popular beam profiles.

Amazing, a textbook that's easy to understand!
I took a class in Fourier Optics and found this text to be indispensable.It explains everything very clearly and concisely, which is a minor miracle for a text at this level.I didn't have any particular background in optics, and was able to pick this up and understand every word.

I do agree with the earlier poster that more 'physical' or graphical representations of concepts would have been useful as I tend to be a visual learner.

Simply the best
Only the best will do - and this is it.

Mandatory reading for anyone involved in optics.Goodman's books are treasure troves. ... Read more

Product Description
Beyond being the first substantial publication on Fourier, this work contains the text of Fourier's seminal paper of 1807 on the propagation of heat, marking the first time it has ever appeared in print. This paper incorporates many of the mathematical creations on which Fourier's fame rests, including derivation of the diffusion equation, the separation of the treatment of surface phenomena from internal phenomena, the use of boundary values and initial conditions, and the development of "Fourier series" and the so-called "Bessel functions."

When submitted to the examiners of the Institut de France, the originality of the paper and the surprising nature of some of its mathematical revelations caused great controversy, and it was denied publication both in 1807 and in later years. Fourier had the support, among the examiners, of Laplace and Monge, but Lagrange was adamantly in opposition, so that Fourier's work did not appear in print until 1822, reworked into book form.

Fourier's mathematical discoveries are intimately related to his interest in the solution of physical problems and their experimental verification. The mathematical methods he developed in connection with heat diffusion apply to physical situations far beyond the boundaries of this area. Generally, Fourier may be credited with one of the first major extensions of mathematical physics beyond the applications of Newton's laws of motion and universal gravitation.

The opening biographical chapter of this book follows Fourier's career up to the submission of the 1807 paper, and the two closing chapters take up his life and work from that point on. Fourier had strong political motivations and spent much of his life in the public service. These chapters trace his political difficulties, both before and after 1807, when he was the prefect of a department of France and was subjected to the dislocations of Napoleon's ups and downs. These chapters also describe aspects of the turbulent but productive development of French science from the Revolution to 1830.

The core of the book presents the paper of 1807 in its original French and with the original notation. Grattan-Guinness has divided the paper into sections by the sequence of the problems taken up, and he introduces and, where necessary, closes each section with commentary relevant to Fourier's later work in these areas. The paper itself follows the chronology of Fourier's discoveries, and among the topics treated are, in this order: heat diffusion between disjoint bodies and in continuous bodies; the appearance of partial differential equations; the special solution for the lamina; sine and cosine series for an arbitrary function; reflections on the vibrating string problem; solution for the annulus; the full Fourier series for an arbitrary function; reflections on n-body analysis; solution for the sphere; solution for the cylinder; steady-state diffusion in the rectangular prism; time-dependent diffusion in the cube; and Fourier's experimental work. ... Read more

Customer Reviews (2)

excellent book on Fourier analysis
This is my all time favorite books on Fourier analysis for engineers. Weaver worked at Livermore Labs
and this book is based on a course for the technical staff given there. I have seen all the classics
Bracewell, Papoulis, Oppenheim, Goodman, etc... and I think this book blows them vis-a-vis developing
an elementary presentation of this material(Fourier Series, Fourier Transform, DFT) in a readable and concise way.To boot, the book also really starts at the beginning (i.e., what is an angle, what are trig functions, what is the derivative of sine and cosine...) Applications of the theory to areas such as optics and vibrations are also stressed.Great technical book!

"Applications..." yields amazing Clarity on Transforms
Mr. Weaver's "Applications ..." has saved me twice.Here's how:

I was warned by a graduating Electrical Engineering Senior to study Fourier Transforms before taking ECE-303, Signals and System theory.Quite simply, ECE-303 was the weeding course, because most students were struggling with the transforms while also trying to learn system theory.Fortunately, I heeded the senior's advice and picked up copy of "Applications ...".At the time, it was a bit much for my tight student budget, but it earned its keep.I read the book over the summer before the class.Because the book is so well written, I was able to digest it completely on my own.It has the greatest clarity I've seen on the topic.Having an Engineering disposition, I immediate consumed his explanations that tie things back to the "frequency content" view.I not only aced the class, but I really enjoyed it.It's what Engineering was about.

Here I am (fast forward 10 years) taking an Engineering Statistics class to get back into things.Low and behold, Weaver comes in again.In the advanced areas of studies in statistics I've picked up on references to the Fourier Transform in the topics of moments, moment generating functions, and the Central Limit Theorem.As it happens, Chapter 11, Stochastic Analyis covers this topic, and I've now got the concepts.Of course, I've had to re-read Chapter 3, The Fourier Transform, since it has been, after all, a great while since I applied them! ... Read more

Product Description
The Fourier transform is one of the most important mathematicaltools in a wide variety of science and engineering fields. Itsapplication -- as Fourier analysis or harmonic analysis --provides useful decompositions of signals into fundamental(`primitive') components, giving shortcuts in the computation ofcomplicated sums and integrals, and often revealing hidden structurein the data. Fourier Transforms: An Introduction for Engineers develops thebasic definitions, properties and applications of Fourier analysis,the emphasis being on techniques for its application to linearsystems, although other applications are also considered. The bookwill serve as both a reference text and a teaching text for aone-quarter or one-semester course covering the application of Fourieranalysis to a wide variety of signals, including discrete time (orparameter), continuous time (or parameter), finite duration, andinfinite duration. It highlights the common aspects in all casesconsidered, thereby building an intuition from simple examples thatwill be useful in the more complicated examples where careful proofsare not included. Fourier Analysis: An Introduction for Engineers is written bytwo scholars who are recognized throughout the world as leaders inthis area, and provides a fresh look at one of the most importantmathematical and directly applicable concepts in nearly all fields ofscience and engineering.Audience: Engineers, especiallyelectrical engineers. The careful treatment of the fundamentalmathematical ideas makes the book suitable in all areas where Fourieranalysis finds applications. ... Read more

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A companion volume to Weaver's Applications of Discrete and Continuous Fourier Analysis (Wiley, 1983). Addresses the theoretical and analytical aspects of Fourier analysis, including topics usually found only in more advanced treatises. Provides background information before going on to cover such topics as existence of the inner product, distribution theory, Fourier series representation of complex functions, properties and behavior of the Fourier transform, Fourier transform of a distribution, physical interpretation of convolution, the fast Fourier transform, sampling a function, and much more. Includes exercises, problems, applications, over 150 illustrations, and a Fourier transform FORTRAN subroutine. ... Read more

Customer Reviews (1)

Excellent teaching book, Excellent reference book
Weaver's book is exceptionally well-written, with clear step-by-step explanations of each concept.It is a great teaching tool, and a great reference book.It is one of the few books in which I can quickly find the answer I need. ... Read more

Product Description
This is an EXACT reproduction of a book published before 1923. This IS NOT an OCR'd book with strange characters, introduced typographical errors, and jumbled words.This book may have occasional imperfections such as missing or blurred pages, poor pictures, errant marks, etc. that were either part of the original artifact, or were introduced by the scanning process. We believe this work is culturally important, and despite the imperfections, have elected to bring it back into print as part of our continuing commitment to the preservation of printed works worldwide. We appreciate your understanding of the imperfections in the preservation process, and hope you enjoy this valuable book. ... Read more

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This book presents the principal concepts of operations research (OR) as tools for the planning, support, and management of various types of networks, including both physical and logical networks. It analyzes real problems, and offers a collection of models for many application areas, together with the corresponding solution techniques. Following this, important application areas are addressed, such as project scheduling, distribution networks, telecommunication networks, and planning of satellite imaging. Anyone involved in the theory or practice in this field will find this a vital resource. ... Read more

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Purchase includes free access to book updates online and a free trial membership in the publisher's book club where you can select from more than a million books without charge. Chapters: Fourier Analysis, Fourier Transform, Fourier Series, Joseph Fourier. Excerpt:Fourier transforms In mathematics, Fourier analysis is a subject area which grew out of the study of Fourier series . The subject began with trying to understand when it was possible to represent general functions by sums of simpler trigonometric functions . The attempt to understand functions (or other objects) by breaking them into basic pieces that are easier to understand is one of the central themes in Fourier analysis. Fourier analysis is named after Joseph Fourier who showed that representing a function by a trigonometric series greatly simplified the study of heat propagation. Today the subject of Fourier analysis encompasses a vast spectrum of mathematics with parts that, at first glance, may appear quite different. In the sciences and engineering the process of decomposing a function into simpler pieces is often called an analysis . The corresponding operation of rebuilding the function from these pieces is known as synthesis . In this context the term Fourier synthesis describes the act of rebuilding and the term Fourier analysis describes the process of breaking the function into a sum of simpler pieces. In mathematics, the term Fourier analysis often refers to the study of both operations. In Fourier analysis, the term Fourier transform often refers to the process that decomposes a given function into the basic pieces. This process results in another function that describes how much of each basic piece are in the original function. However, the transform is often given a more specific name depending upon the domain and other properties of the function being transformed, as elaborated below. Moreover, the original concept of Fourier analysis has been extended over time to apply to more and... ... Read more

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This book deals with the basic phenomena that govern the magnetic properties of matter, with magnetic materials and with the applications of magnetism in science, technology and medicine.
It is the collective work of twenty-one scientists, most of them from Laboratoire Louis Neel du CNRS in Grenoble, France. The original version, in French, was edited by Etienne du Trémolet de Lacheisserie, and published in 1999. The present version involves, beyond the translation, many corrections and complements.
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Les achats comprennent une adhésion à l'essai gratuite au club de livres de l'éditeur, dans lequel vous pouvez choisir parmi plus d'un million d'ouvrages, sans frais. Le livre consiste d'articles Wikipedia sur : Jean-Pierre Soisson, Joseph Fourier, Lucien Jayat, Marcel Petiot, Jean Lebeuf, Monick Lepeu, Octave Uzanne, Henri Gouhier, Paul Bert, Philibert Joseph Roux, Raymond Guyot, Germain Garnier, Cyrille Carré, Marie Noël, Jean-Baptiste de La Curne de Sainte-Palaye, Étienne Wolff, Boniface Paradis, Pierre Marie de Saint-Georges, Renée Lévy, Paul-Frédéric Rollet, Thierry Bouchard, Jacques Berthier, Louis Liger, Jean-Paul Rappeneau, Albert Salon, Jacques Corrèze, Henri Joly, Victor Flogny, Germain D'auxerre, Bérengère Schuh, Adrien Langumier, Eugène Hatin, Alexandre Edmé Pierre Villetard, Emmeline Ndongué, Philippe Ramette, Jean-Marc Espalioux, Germain Bénard, Pierre Mollaret, Christophe Lion, Germaine Lecuyer, Jean-Jacques Michelet, François Campaux, Guy Ferez, Jean-Marc Duchenne, Pierre Perreau-Pradier, Philippe Delancray, Gustave Potherat de Thou, François Martineau Des Chenez, Guillaume Daubenton, Hubert Perring, Benoit Gillet. Non illustré. Mises à jour gratuites en ligne. Extrait : Jean Baptiste Joseph Fourier, né le 21 mars 1768 à Auxerre et mort le 16 mai 1830 à Paris, est un mathématicien et physicien français, connu pour ses travaux sur la décomposition de fonctions périodiques en séries trigonométriques convergentes appelées séries de Fourier et leur application au problème de la propagation de la chaleur. Il fait ses études chez les Bénédictins à l'École militaire d'Auxerre. Destiné à l'état monastique, il préfère s'adonner aux sciences. Il intègre l'École normale supérieure, où il a entre autres comme professeurs Joseph-Louis Lagrange, Gaspard Monge et Pierre-Simon de Laplace, auquel il succède à la chaire à Polytechnique en 1797. Il participe à la Révolution, manquant de peu de se faire guillotiner durant la Terreu...http://booksllc.net/?l=fr ... Read more

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Les achats comprennent une adhésion à l'essai gratuite au club de livres de l'éditeur, dans lequel vous pouvez choisir parmi plus d'un million d'ouvrages, sans frais. Le livre consiste d'articles Wikipedia sur : Joseph Fourier, Benjamin Fillon, Félix-Sébastien Feuillet de Conches, Aristide Marre, Jules Bonnet, Michel Chasles, Hugues de Salins, Frédéric Ritter, Alexandre Savérien, Charles Bossut, Maximilien-Marie de Ficquelmont. Non illustré. Mises à jour gratuites en ligne. Extrait : Jean Baptiste Joseph Fourier, né le 21 mars 1768 à Auxerre et mort le 16 mai 1830 à Paris, est un mathématicien et physicien français, connu pour ses travaux sur la décomposition de fonctions périodiques en séries trigonométriques convergentes appelées séries de Fourier et leur application au problème de la propagation de la chaleur. Il fait ses études chez les Bénédictins à l'École militaire d'Auxerre. Destiné à l'état monastique, il préfère s'adonner aux sciences. Il intègre l'École normale supérieure, où il a entre autres comme professeurs Joseph-Louis Lagrange, Gaspard Monge et Pierre-Simon de Laplace, auquel il succède à la chaire à Polytechnique en 1797. Il participe à la Révolution, manquant de peu de se faire guillotiner durant la Terreur, sauvé de justesse par la chute de Robespierre. En 1798, il prend part à la campagne d'Égypte. Il occupe un haut poste de diplomate et devient secrétaire de l'Institut d'Égypte. À son retour en France en 1802, Napoléon le nomme préfet de l'Isère le 12 février : il est destitué lors de la Restauration. En 1817, il est élu membre de l'Académie des sciences, dont il devient secrétaire perpétuel pour la section des sciences mathématiques à la mort de Jean-Baptiste Joseph Delambre en 1822. En 1826, il est élu membre de l'Académie française. Tombe du Père-Lachaise.Fourier est connu pour sa Théorie analytique de la chaleur, paru en 1822. On lui doit aussi plusieurs mémoires ainsi que des Rapports sur les progrès ...http://booksllc.net/?l=fr ... Read more

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Les achats comprennent une adhésion à l'essai gratuite au club de livres de l'éditeur, dans lequel vous pouvez choisir parmi plus d'un million d'ouvrages, sans frais. Le livre consiste d'articles Wikipedia sur : Jean-François Champollion, Jacques-Joseph Champollion, Joseph Fourier, François Andrieux, Robert de Flers, Pierre-François Percy. Non illustré. Mises à jour gratuites en ligne. Extrait : Jean-François Champollion dit Champollion le Jeune (né le 23 décembre 1790 à Figeac, dans le Lot et mort le 4 mars 1832 à Paris, inhumé dans la division 18 au cimetière du Père-Lachaise), est un égyptologue français. Déchiffreur des hiéroglyphes, il est considéré comme le père de l'égyptologie. Il disait de lui-même : . Du côté paternel, Jean-François, dit le Jeune, appartenait à une famille du Valbonnais originaire de Valjouffrey (Isère), village habité par des paysans qui parcouraient la région comme colporteurs durant l'hiver. Ses grand-parents, Barthélémy Champollion, né en 1694 à Valjouffrey, qui ne savait pas signer, et Marie Géréoud ou Géroux, née en 1709 à Valbonnais, se marièrent à Valbonnais en 1727. Ils eurent cinq enfants dont Jacques, né le 10 février 1744 à La-Roche-des-Engelas (aujourd'hui hameau de Valbonnais), qui fut expulsé de son hameau natal pour des causes peut-être politiques et dut sillonner la France avant de s'installer à Figeac sans doute invité par un cousin chanoine de la basilique Saint-Sauveur. Il y épousa le 23 janvier 1773 Jeanne-Françoise Gualieu, d'une famille de bourgeois de cette ville ; il put acheter en 1772 une maison et en 1779 une boutique de libraire sur la place Basse ainsi qu'une nouvelle maison qui deviendra le musée Champollion. Il eut huit enfants de sa femme : Guillaume, mort à la naissance (octobre 1773), Thérèse née un an après, Pétronille en 1776, Jacques-Joseph le 8 octobre 1778, Jean-Baptiste mort à trois ans et Marie-Jeanne en 1782. Une étrange histoire qui court sur la naissance de ...http://booksllc.net/?l=fr ... Read more

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Purchase includes free access to book updates online and a free trial membership in the publisher's book club where you can select from more than a million books without charge. Chapters: Claude Louis Berthollet, Gaspard Monge, François Pouqueville, Jean-Lambert Tallien, Joseph Fourier, Étienne Geoffroy Saint-Hilaire, Egyptian Institute of Sciences and Arts, Dominique Vivant, Pierre Amédée Jaubert, Nicolas-Jacques Conté, Julien Bessières, Michel-Louis-Étienne Regnaud de Saint-Jean D'angély, Antoine-Vincent Arnault, Marie Jules César Savigny, Jean-Marie-Joseph Coutelle, François Michel de Rozière, Jean-Baptiste Lepère, Louis Costaz, Gaspard de Chabrol, François-Auguste Parseval-Grandmaison, Alire Raffeneau Delile, Edme François Jomard, Pierre Jacotin. Excerpt:Alire Raffeneau Delile (January 23, 1778 July 5, 1850) was a French botanist. He participated in Napoleon Bonaparte 's Egypt Campaign where he described Lotus and Papyrus . He is the author of the botanical sections of Travel in Lower and Upper Egypt by Dominique Vivant . References (URLs online) A hyperlinked version of this chapter is at Antoine-Vincent Arnault Antoine-Vincent Arnault (1 January 1766 16 September 1834) was a French dramatist . Arnault was born in Paris . His first play, Marius à Minturne (1791), immediately established his reputation. A year later he followed with a second republican tragedy , Lucrèce . Arnault left France during the Reign of Terror , but on his return, he was arrested by the revolutionary authorities. He was freed through the intervention of Fabre d'Églantine and others. He was commissioned by Napoleon Bonaparte in 1797 with the organization of the Ionian Islands , and was nominated to the Institute and made secretary general of the university. Arnault was faithful to his patron through his misfortunes, and after the Hundred Days remained in exile until 1819. Arnault died at Goderville . Other plays of Arnult's are: Blanche et Moncassin, ou les Vénitiens (1798); and Germ... ... Read more