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Les Equations Differentielles En Mathematiques Et En Physique
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Book Synopsis The Dialectic Relation Between Physics and Mathematics in the XIXth Century by : Evelyne Barbin
Download or read book The Dialectic Relation Between Physics and Mathematics in the XIXth Century written by Evelyne Barbin and published by Springer Science & Business Media. This book was released on 2013-04-02 with total page 193 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this book is to analyse historical problems related to the use of mathematics in physics as well as to the use of physics in mathematics and to investigate Mathematical Physics as precisely the new discipline which is concerned with this dialectical link itself. So the main question is: When and why did the tension between mathematics and physics, explicitly practised at least since Galileo, evolve into such a new scientific theory? The authors explain the various ways in which this science allowed an advanced mathematical modelling in physics on the one hand, and the invention of new mathematical ideas on the other hand. Of course this problem is related to the links between institutions, universities, schools for engineers, and industries, and so it has social implications as well. The link by which physical ideas had influenced the world of mathematics was not new in the 19th century, but it came to a kind of maturity at that time. Recently, much historical research has been done into mathematics and physics and their relation in this period. The purpose of the Symposium and this book is to gather and re-evaluate the current thinking on this subject. It brings together contributions from leading experts in the field, and gives much-needed insight in the subject of mathematical physics from a historical point of view.
Book Synopsis Sur la Théorie Des Équations Différentielles Linéaires by : Gaston Floquet
Download or read book Sur la Théorie Des Équations Différentielles Linéaires written by Gaston Floquet and published by . This book was released on 1879 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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:
Book Synopsis Linear Differential Equations and Group Theory from Riemann to Poincare by : Jeremy Gray
Download or read book Linear Differential Equations and Group Theory from Riemann to Poincare written by Jeremy Gray and published by Springer Science & Business Media. This book was released on 2010-01-07 with total page 357 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a study of how a particular vision of the unity of mathematics, often called geometric function theory, was created in the 19th century. The central focus is on the convergence of three mathematical topics: the hypergeometric and related linear differential equations, group theory, and on-Euclidean geometry. The text for this second edition has been greatly expanded and revised, and the existing appendices enriched. The exercises have been retained, making it possible to use the book as a companion to mathematics courses at the graduate level.
Book Synopsis Borel-Laplace Transform and Asymptotic Theory by : Boris Yu. Sternin
Download or read book Borel-Laplace Transform and Asymptotic Theory written by Boris Yu. Sternin and published by CRC Press. This book was released on 1995-10-20 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: The resurgent function theory introduced by J. Ecalle is one of the most interesting theories in mathematical analysis. In essence, the theory provides a resummation method for divergent power series (e.g., asymptotic series), and allows this method to be applied to mathematical problems. This new book introduces the methods and ideas inherent in resurgent analysis. The discussions are clear and precise, and the authors assume no previous knowledge of the subject. With this new book, mathematicians and other scientists can acquaint themselves with an interesting and powerful branch of asymptotic theory - the resurgent functions theory - and will learn techniques for applying it to solve problems in mathematics and mathematical sciences.
Book Synopsis Méthodes mathématiques et numériques pour les équations aux dérivées partielles by : CHASKALOVIC Joël
Download or read book Méthodes mathématiques et numériques pour les équations aux dérivées partielles written by CHASKALOVIC Joël and published by Lavoisier. This book was released on 2013-01-21 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt: Qu’il s’agisse d’applications en physique ou en mécanique, en médecine ou en biologie, mais aussi en économie, dans les médias et en marketing, ou encore dans le domaine des finances, la traduction phénoménologique du système étudié conduit très souvent à la résolution d’équations différentielles ou aux dérivées partielles. Incontestablement, ce sont les éléments finis qui ont bouleversé le monde de l’approximation numérique des équations aux dérivées partielles. Cet ouvrage est composé de deux parties : la première est un abrégé de cours portant sur les outils de base de l’analyse mathématique des équations aux dérivées partielles et la seconde contient des problèmes corrigés qui abordent l’approximation par éléments finis des formulations variationnelles des problèmes aux limites elliptiques. Des applications en mécanique des solides déformables, à la résistance des matériaux, en mécanique des fluides et en thermique ainsi que quelques problèmes non linéaires y sont présentés.Cet ouvrage s'adresse aux étudiants en sciences et techniques de l'ingénieur des universités et des grandes écoles.
Book Synopsis Frontiers in Number Theory, Physics, and Geometry II by : Pierre E. Cartier
Download or read book Frontiers in Number Theory, Physics, and Geometry II written by Pierre E. Cartier and published by Springer Science & Business Media. This book was released on 2007-07-18 with total page 806 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ten years after a 1989 meeting of number theorists and physicists at the Centre de Physique des Houches, a second event focused on the broader interface of number theory, geometry, and physics. This book is the first of two volumes resulting from that meeting. Broken into three parts, it covers Conformal Field Theories, Discrete Groups, and Renormalization, offering extended versions of the lecture courses and shorter texts on special topics.
Book Synopsis Histoire Des Sciences Mathématiques Et Physiques: D'Arago à Able et aux géomètres contemporains. 1888 by : Maximilien Marie
Download or read book Histoire Des Sciences Mathématiques Et Physiques: D'Arago à Able et aux géomètres contemporains. 1888 written by Maximilien Marie and published by . This book was released on 1888 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis French Mathematical Seminars by : Nancy D. Anderson
Download or read book French Mathematical Seminars written by Nancy D. Anderson and published by American Mathematical Soc.. This book was released on 1989 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt: Intended for mathematics librarians, the list allows librarians to ascertain if a seminaire has been published, which library has it, and the forms of entry under which it has been cataloged.
Book Synopsis Revue Semestrielle Des Publications Mathématiques by :
Download or read book Revue Semestrielle Des Publications Mathématiques written by and published by . This book was released on 1927 with total page 582 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Publications de L'Institut Mathématique by :
Download or read book Publications de L'Institut Mathématique written by and published by . This book was released on 1971 with total page 526 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Singular Differential Equations and Special Functions by : Luis Manuel Braga da Costa Campos
Download or read book Singular Differential Equations and Special Functions written by Luis Manuel Braga da Costa Campos and published by CRC Press. This book was released on 2019-11-05 with total page 359 pages. Available in PDF, EPUB and Kindle. Book excerpt: Singular Differential Equations and Special Functions is the fifth book within Ordinary Differential Equations with Applications to Trajectories and Vibrations, Six-volume Set. As a set they are the fourth volume in the series Mathematics and Physics Applied to Science and Technology. This fifth book consists of one chapter (chapter 9 of the set). The chapter starts with general classes of differential equations and simultaneous systems for which the properties of the solutions can be established 'a priori', such as existence and unicity of solution, robustness and uniformity with regard to changes in boundary conditions and parameters, and stability and asymptotic behavior. The book proceeds to consider the most important class of linear differential equations with variable coefficients, that can be analytic functions or have regular or irregular singularities. The solution of singular differential equations by means of (i) power series; (ii) parametric integral transforms; and (iii) continued fractions lead to more than 20 special functions; among these is given greater attention to generalized circular, hyperbolic, Airy, Bessel and hypergeometric differential equations, and the special functions that specify their solutions. Includes existence, unicity, robustness, uniformity, and other theorems for non-linear differential equations Discusses properties of dynamical systems derived from the differential equations describing them, using methods such as Liapunov functions Includes linear differential equations with periodic coefficients, including Floquet theory, Hill infinite determinants and multiple parametric resonance Details theory of the generalized Bessel differential equation, and of the generalized, Gaussian, confluent and extended hypergeometric functions and relations with other 20 special functions Examines Linear Differential Equations with analytic coefficients or regular or irregular singularities, and solutions via power series, parametric integral transforms, and continued fractions
Book Synopsis Galois Theory of Linear Differential Equations by : Marius van der Put
Download or read book Galois Theory of Linear Differential Equations written by Marius van der Put and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the reviews: "This is a great book, which will hopefully become a classic in the subject of differential Galois theory. [...] the specialist, as well as the novice, have long been missing an introductory book covering also specific and advanced research topics. This gap is filled by the volume under review, and more than satisfactorily." Mathematical Reviews
Book Synopsis International Catalogue of Scientific Literature by :
Download or read book International Catalogue of Scientific Literature written by and published by . This book was released on 1907 with total page 2040 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis From Hodge Theory to Integrability and TQFT by : Ron Donagi
Download or read book From Hodge Theory to Integrability and TQFT written by Ron Donagi and published by American Mathematical Soc.. This book was released on 2008 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Ideas from quantum field theory and string theory have had an enormous impact on geometry over the last two decades. One extremely fruitful source of new mathematical ideas goes back to the works of Cecotti, Vafa, et al. around 1991 on the geometry of topological field theory. Their tt*-geometry (tt* stands for topological-antitopological) was motivated by physics, but it turned out to unify ideas from such separate branches of mathematics as singularity theory, Hodge theory, integrable systems, matrix models, and Hurwitz spaces. The interaction among these fields suggested by tt*-geometry has become a fast moving and exciting research area. This book, loosely based on the 2007 Augsburg, Germany workshop "From tQFT to tt* and Integrability", is the perfect introduction to the range of mathematical topics relevant to tt*-geometry. It begins with several surveys of the main features of tt*-geometry, Frobenius manifolds, twistors, and related structures in algebraic and differential geometry, each starting from basic definitions and leading to current research. The volume moves on to explorations of current foundational issues in Hodge theory: higher weight phenomena in twistor theory and non-commutative Hodge structures and their relation to mirror symmetry. The book concludes with a series of applications to integrable systems and enumerative geometry, exploring further extensions and connections to physics. With its progression through introductory, foundational, and exploratory material, this book is an indispensable companion for anyone working in the subject or wishing to enter it."--Publisher's website.
Book Synopsis Joseph Liouville 1809–1882 by : Jesper Lützen
Download or read book Joseph Liouville 1809–1882 written by Jesper Lützen and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 893 pages. Available in PDF, EPUB and Kindle. Book excerpt: This scientific biography of the mathematician Joseph Liouville is divided into two parts. The first part is a chronological account of Liouville's career including a description of the institutions he worked in, his relations with his teachers, colleagues and students, and the historical context of his works. It portrays the French scientific community in a period when Germany and England had surpassed France as the leading nations in mathematics and physics. The second part of the book gives a detailed analysis of Liouville's major contributions to mathematics and mechanics. The gradual development of Liouville's ideas, as reflected in his publications and notebooks, are related to the works of his predecessors and his contemporaries as well as to later developments in the field. On the basis of Liouville's unpublished notes the book reconstructs Liouville's hitherto unknown theories of stability of rotating masses of fluid, potential theory, Galois theory and electrodynamics. It also incorporates valuable added information from Liouville's notes regarding his works on differentiation of arbitrary order, integration in finite terms, Sturm-Liouville theory, transcendental numbers, doubly periodic functions, geometry and mechanics.
Book Synopsis Multimedia Tools for Communicating Mathematics by : Jonathan Borwein
Download or read book Multimedia Tools for Communicating Mathematics written by Jonathan Borwein and published by Springer Science & Business Media. This book was released on 2002-01-11 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book on multimedia tools for communicating mathematics arose from presentations at an international workshop organized at the Centro de Mate- matica e Aplica
