The Cauchy Method of Residues

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Publisher : Springer Science & Business Media
ISBN 13 : 9789027716231
Total Pages : 388 pages
Book Rating : 4.7/5 (162 download)

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Book Synopsis The Cauchy Method of Residues by : Dragoslav S. Mitrinovic

Download or read book The Cauchy Method of Residues written by Dragoslav S. Mitrinovic and published by Springer Science & Business Media. This book was released on 1984-04-30 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. However, the "tree" of knowledge of mathematics and related fields does not' grow only by putting forth new branches. It also happens, quite often in fact, that branches which were thought to be completely disparate are suddenly seen to be related. Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non-trivially) in regional and theoretical economics; algebraic geometry interacts with physics; the Minkowsky lemma, coding theory arid the struc ture of water meet one another in packing and covering theory; quantum fields, crystal defects and mathematical programming profit from homotopy theory; lie algebras are relevant to filtering; and prediction and electrical engineering can use Stein spaces. And in addition to this there are such new emerging subdisciplines as "completely integrable systems", "chaos, synergetics and large-5cale order", which are almost impossible to fit into the existing classification schemes. They draw upon widely different sections of mathematics. This program, Mathematics and Its Applications, is devoted to such (new) interrelations as exampla gratia: - a central concept which plays an important role in several different mathe matical and/or scientific specialized areas; - new applications of the results and ideas from one area of scientific en deavor into another; - influences which the results, problems and concepts of one field of enquiry have and have had on the development of another.

Inverse Problems

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Publisher : Springer
ISBN 13 : 354047353X
Total Pages : 214 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Inverse Problems by : Giorgio Talenti

Download or read book Inverse Problems written by Giorgio Talenti and published by Springer. This book was released on 2006-11-14 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Methods of Contour Integration

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Publisher : Elsevier
ISBN 13 : 1483275000
Total Pages : 455 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Methods of Contour Integration by : M. L. Rasulov

Download or read book Methods of Contour Integration written by M. L. Rasulov and published by Elsevier. This book was released on 2014-12-03 with total page 455 pages. Available in PDF, EPUB and Kindle. Book excerpt: Methods of Contour Integration contains two parts: (1) a systematic exposition of the computational method for solving boundary and mixed problems, and (2) the contour-integral method for investigating general linear mixed problems. The first part includes formulae for expanding arbitrary vector-valued functions in series from integral residues of solutions of boundary-value problems for systems of ordinary differential equations with discontinuous coefficients. These formulae give residue representations of solutions of the corresponding one-dimensional mixed problems for equations with discontinuous coefficients. The book also explains a computational method of separating the variables which is a generalization of the ordinary method of separating variables to the case of nonself-adjoint operators. In part two, the text discusses one-dimensional mixed problems for equations with discontinuous coefficients. Under regular boundary conditions, it proves the existence of solutions for these problems and the representability of the solutions in the form of contour integrals with a complex parameter. The text points out that the contour-integral method is also applicable to parabolic equations and to equations in which the coefficients are functions of time. The book is ideal for mathematicians, students, and professor of calculus and advanced mathematics.

A History of the Theory of Elasticity and of the Strength of Materials: Galilei to Saint-Venant, 1639-1850.-v. 2. pt. 1-2. Saint-Venant to Lord Kelvin

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Publisher :
ISBN 13 :
Total Pages : 968 pages
Book Rating : 4.3/5 (555 download)

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Book Synopsis A History of the Theory of Elasticity and of the Strength of Materials: Galilei to Saint-Venant, 1639-1850.-v. 2. pt. 1-2. Saint-Venant to Lord Kelvin by : Isaac Todhunter

Download or read book A History of the Theory of Elasticity and of the Strength of Materials: Galilei to Saint-Venant, 1639-1850.-v. 2. pt. 1-2. Saint-Venant to Lord Kelvin written by Isaac Todhunter and published by . This book was released on 1886 with total page 968 pages. Available in PDF, EPUB and Kindle. Book excerpt:

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Author :
Publisher : Odile Jacob
ISBN 13 : 2738185142
Total Pages : 394 pages
Book Rating : 4.7/5 (381 download)

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Book Synopsis by :

Download or read book written by and published by Odile Jacob. This book was released on with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt:

A History of the Theory of Elasticity and of the Strength of Materials

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Publisher :
ISBN 13 :
Total Pages : 970 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis A History of the Theory of Elasticity and of the Strength of Materials by : Isaac Todhunter

Download or read book A History of the Theory of Elasticity and of the Strength of Materials written by Isaac Todhunter and published by . This book was released on 1886 with total page 970 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Present Status of Integral Equations

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Publisher : Bloomington, Ind. : s.n.
ISBN 13 :
Total Pages : 60 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis The Present Status of Integral Equations by : Harold Thayer Davis

Download or read book The Present Status of Integral Equations written by Harold Thayer Davis and published by Bloomington, Ind. : s.n.. This book was released on 1926 with total page 60 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Problem of the Earth's Shape from Newton to Clairaut

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Publisher : Cambridge University Press
ISBN 13 : 9780521385411
Total Pages : 808 pages
Book Rating : 4.3/5 (854 download)

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Book Synopsis The Problem of the Earth's Shape from Newton to Clairaut by : John L. Greenberg

Download or read book The Problem of the Earth's Shape from Newton to Clairaut written by John L. Greenberg and published by Cambridge University Press. This book was released on 1995-07-28 with total page 808 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book investigates, through the problem of the earth's shape, part of the development of post-Newtonian mechanics by the Parisian scientific community during the first half of the eighteenth century. In the Principia Newton first raised the question of the earth's shape. John Greenberg shows how continental scholars outside France influenced efforts in Paris to solve the problem, and he also demonstrates that Parisian scholars, including Bouguer and Fontaine, did work that Alexis-Claude Clairaut used in developing his mature theory of the earth's shape. The evolution of Parisian mechanics proved not to be the replacement of a Cartesian paradigm by a Newtonian one, a replacement that might be expected from Thomas Kuhn's formulations about scientific revolutions, but a complex process instead involving many areas of research and contributions of different kinds from the entire scientific world. Greenberg both explores the myriad of technical problems that underlie the historical development of part of post-Newtonian mechanics, which have only been rarely analyzed by Western scholars, and embeds his technical discussion in a framework that involves social and institutional history politics, and biography. Instead of focusing exclusively on the historiographical problem, Greenberg shows as well that international scientific communication was as much a vital part of the scientific progress of individual nations during the first half of the eighteenth century as it is today.

Partial Differential Equations And Systems Not Solvable With Respect To The Highest-Order Derivative

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Publisher : CRC Press
ISBN 13 : 0824748514
Total Pages : 506 pages
Book Rating : 4.8/5 (247 download)

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Book Synopsis Partial Differential Equations And Systems Not Solvable With Respect To The Highest-Order Derivative by : Gennadii V. Demidenko

Download or read book Partial Differential Equations And Systems Not Solvable With Respect To The Highest-Order Derivative written by Gennadii V. Demidenko and published by CRC Press. This book was released on 2003-04-25 with total page 506 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text introduces a classification of equations and systems not solved with respect to the higher-order derivative, and studies boundary-value problems for these classes of equations. It includes mathematical results from S.L. Sobolev's study on the small oscillations of a rotating fluid.

Histoire Des Sciences Mathématiques Et Physiques: De Newton à Euler

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Publisher :
ISBN 13 :
Total Pages : 278 pages
Book Rating : 4.A/5 ( download)

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Book Synopsis Histoire Des Sciences Mathématiques Et Physiques: De Newton à Euler by : Maximilien Marie

Download or read book Histoire Des Sciences Mathématiques Et Physiques: De Newton à Euler written by Maximilien Marie and published by . This book was released on 1885 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Science Et Metaphysique

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Publisher : Editions Beauchesne
ISBN 13 :
Total Pages : 260 pages
Book Rating : 4./5 ( download)

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Book Synopsis Science Et Metaphysique by : Stanislas Dockx

Download or read book Science Et Metaphysique written by Stanislas Dockx and published by Editions Beauchesne. This book was released on 1976 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Aëtiana

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Publisher : BRILL
ISBN 13 : 9004193235
Total Pages : 664 pages
Book Rating : 4.0/5 (41 download)

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Book Synopsis Aëtiana by : Jaap Mansfeld

Download or read book Aëtiana written by Jaap Mansfeld and published by BRILL. This book was released on 2009-10-23 with total page 664 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ancient doxography, particularly as distilled in the work on problems of physics by Aëtius, is a vital source for our knowledge of early Greek philosophy up to the first century BCE. But its purpose and method, and also its wider intellectual context, are by no means easy to understand. The present volume contains 19 essays written between 1989 and 2009 in which the authors grapple with various aspects of the doxographical tradition and its main representatives. The essays examine the origins of the doxographical method in the work of Aristotle and Theophrastus and also provide valuable insights into the works of other authors such as Epicurus, Chrysippus, Lucretius, Cicero, Philo of Alexandria and Seneca. The collection can be read as a companion collection to the two earlier volumes of Aëtiana published by the two authors in this series (1997, 2009).

Non-Homogeneous Boundary Value Problems and Applications

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Publisher : Springer Science & Business Media
ISBN 13 : 3642652174
Total Pages : 255 pages
Book Rating : 4.6/5 (426 download)

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Book Synopsis Non-Homogeneous Boundary Value Problems and Applications by : Jacques Louis Lions

Download or read book Non-Homogeneous Boundary Value Problems and Applications written by Jacques Louis Lions and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 255 pages. Available in PDF, EPUB and Kindle. Book excerpt: I. In this second volume, we continue at first the study of non homogeneous boundary value problems for particular classes of evolu tion equations. 1 In Chapter 4 , we study parabolic operators by the method of Agranovitch-Vishik [lJ; this is step (i) (Introduction to Volume I, Section 4), i.e. the study of regularity. The next steps: (ii) transposition, (iii) interpolation, are similar in principle to those of Chapter 2, but involve rather considerable additional technical difficulties. In Chapter 5, we study hyperbolic operators or operators well defined in thesense of Petrowski or Schroedinger. Our regularity results (step (i)) seem to be new. Steps (ii) and (iii) are all3.logous to those of the parabolic case, except for certain technical differences. In Chapter 6, the results of Chapter'> 4 and 5 are applied to the study of optimal control problems for systems governed by evolution equations, when the control appears in the boundary conditions (so that non-homogeneous boundary value problems are the basic tool of this theory). Another type of application, to the characterization of "all" well-posed problems for the operators in question, is given in the Ap pendix. Still other applications, for example to numerical analysis, will be given in Volume 3.

Boundary Value Problems for Transport Equations

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Publisher : Springer Science & Business Media
ISBN 13 : 1461219949
Total Pages : 295 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Boundary Value Problems for Transport Equations by : Valeri Agoshkov

Download or read book Boundary Value Problems for Transport Equations written by Valeri Agoshkov and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 295 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the modern theory of boundary value problems the following ap proach to investigation is agreed upon (we call it the functional approach): some functional spaces are chosen; the statements of boundary value prob the basis of these spaces; and the solvability of lems are formulated on the problems, properties of solutions, and their dependence on the original data of the problems are analyzed. These stages are put on the basis of the correct statement of different problems of mathematical physics (or of the definition of ill-posed problems). For example, if the solvability of a prob lem in the functional spaces chosen cannot be established then, probably, the reason is in their unsatisfactory choice. Then the analysis should be repeated employing other functional spaces. Elliptical problems can serve as an example of classical problems which are analyzed by this approach. Their investigations brought a number of new notions and results in the theory of Sobolev spaces W;(D) which, in turn, enabled us to create a sufficiently complete theory of solvability of elliptical equations. Nowadays the mathematical theory of radiative transfer problems and kinetic equations is an extensive area of modern mathematical physics. It has various applications in astrophysics, the theory of nuclear reactors, geophysics, the theory of chemical processes, semiconductor theory, fluid mechanics, etc. [25,29,31,39,40, 47, 52, 78, 83, 94, 98, 120, 124, 125, 135, 146].

La physique des réacteurs nucléaires (2e ed)

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Publisher : Lavoisier
ISBN 13 : 2743065400
Total Pages : 1344 pages
Book Rating : 4.7/5 (43 download)

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Book Synopsis La physique des réacteurs nucléaires (2e ed) by : MARGUET Serge

Download or read book La physique des réacteurs nucléaires (2e ed) written by MARGUET Serge and published by Lavoisier. This book was released on 2013-10-18 with total page 1344 pages. Available in PDF, EPUB and Kindle. Book excerpt: La physique des réacteurs nucléaires est le premier ouvrage français conçu pour aborder de façon progressive et détaillée la complexité théorique du comportement des neutrons, en situation sûre ou accidentelle. Fruit de l’expérience pédagogique de l’auteur et de son expertise internationale reconnue en sûreté nucléaire, il est rapidement devenu un ouvrage de référence au sein de la communauté nucléaire française. Après des rappels de physique nucléaire replaçant les notions théoriques dans leur contexte historique, l’auteur expose les théories mathématico-physiques les plus récentes concernant : • le ralentissement des neutrons dans la matière ; • les particules chargées et les rayonnements électromagnétiques ; • les phases de calcul, en soulignant les hypothèses simplificatrices ; • le concept de criticité, lorsque se développe et s’entretient une réaction nucléaire en chaîne ; • le calcul théorique des réacteurs homogènes et hétérogènes ; • les problèmes d’autoprotection ; • les méthodes numériques des 2 approches historiques du traitement des neutrons (transport neutronique et diffusion). Cette 2e édition, revue et augmentée, approfondit certaines notions, notamment le spectre théorique de fission, l’effet des liaisons cristallines, l’effet de l’hétérogénéité du champ de température, l’effet Dancoff, les équations du transport en géométrie dimensionnelle, le calcul du facteur anti-trappe, la méthode des neutrons pulsés, l’effet d’ombre de l’intégrale de résonance, la méthode Feynman-a, le traitement des instrumentations de l’EPR… Complété par plus de 400 références bibliographiques, dont de nombreuses commentées et une annexe replaçant les travaux d’EDF dans le contexte national du développement de l’énergie nucléaire, cet ensemble constitue la référence théorique la plus complète en neutronique. Cet ouvrage est conforme aux enseignements de l’Institut de transfert de technologie d’EDF et sert de référentiel aux enseignements de l’École nationale supérieure d’ingénieurs de Bourges (INSA-Centre Val de Loire). Il a été conçu pour les ingénieurs et techniciens sur sites souhaitant enrichir leur propre expertise, pour les étudiants de 3e cycle et les élèves ingénieurs en sciences énergétiques.

The Limits of Resolution

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Publisher : CRC Press
ISBN 13 : 1315350807
Total Pages : 573 pages
Book Rating : 4.3/5 (153 download)

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Book Synopsis The Limits of Resolution by : Geoffrey de Villiers

Download or read book The Limits of Resolution written by Geoffrey de Villiers and published by CRC Press. This book was released on 2016-10-03 with total page 573 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This beautiful book can be read as a novel presenting carefully our quest to get more and more information from our observations and measurements. Its authors are particularly good at relating it." --Pierre C. Sabatier "This is a unique text - a labor of love pulling together for the first time the remarkably large array of mathematical and statistical techniques used for analysis of resolution in many systems of importance today – optical, acoustical, radar, etc.... I believe it will find widespread use and value." --Dr. Robert G.W. Brown, Chief Executive Officer, American Institute of Physics "The mix of physics and mathematics is a unique feature of this book which can be basic not only for PhD students but also for researchers in the area of computational imaging." --Mario Bertero, Professor, University of Geneva "a tour-de-force covering aspects of history, mathematical theory and practical applications. The authors provide a penetrating insight into the often confused topic of resolution and in doing offer a unifying approach to the subject that is applicable not only to traditional optical systems but also modern day, computer-based systems such as radar and RF communications." --Prof. Ian Proudler, Loughborough University "a ‘must have’ for anyone interested in imaging and the spatial resolution of images. This book provides detailed and very readable account of resolution in imaging and organizes the recent history of the subject in excellent fashion.... I strongly recommend it." --Michael A.? Fiddy, Professor, University of North Carolina at Charlotte This book brings together the concept of resolution, which limits what we can determine about our physical world, with the theory of linear inverse problems, emphasizing practical applications. The book focuses on methods for solving illposed problems that do not have unique stable solutions. After introducing basic concepts, the contents address problems with "continuous" data in detail before turning to cases of discrete data sets. As one of the unifying principles of the text, the authors explain how non-uniqueness is a feature of measurement problems in science where precision and resolution is essentially always limited by some kind of noise.

Applications of Methods of Functional Analysis to Problems in Mechanics

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Publisher : Springer
ISBN 13 : 3540381651
Total Pages : 550 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Applications of Methods of Functional Analysis to Problems in Mechanics by : P. Germain

Download or read book Applications of Methods of Functional Analysis to Problems in Mechanics written by P. Germain and published by Springer. This book was released on 2006-11-14 with total page 550 pages. Available in PDF, EPUB and Kindle. Book excerpt: