Download or read book L INTEGRATION APPROCHEE DES EQUATIONS DIFFERENTIELLES ORDINAIRES 1671 1914 written by DOMINIQUE.. TOURNES and published by . This book was released on 1996 with total page 467 pages. Available in PDF, EPUB and Kindle. Book excerpt: DEPUIS TROIS SIECLES, LA THEORIE DES EQUATIONS DIFFERENTIELLES OCCUPE UNE PLACE CENTRALE AU SEIN DES MATHEMATIQUES. POURTANT, LES HISTORIENS ONT RELATIVEMENT PEU ETUDIE CETTE THEORIE ET, JUSQU'ICI, ILS SE SONT SURTOUT CONSACRES A SES ASPECTS ALGEBRIQUE ET GEOMETRIQUE. DE NOTRE COTE, NOUS AVONS CHOISI DE NOUS CENTRER SUR LE CADRE NUMERIQUE, EN NOUS INTERESSANT A L'HISTOIRE DE L'ANALYSE NUMERIQUE DES EQUATIONS DIFFERENTIELLES ORDINAIRES DE 1671 A 1914. POURQUOI CETTE PERIODE DE REFERENCE ? D'UN COTE, 1671, C'EST L'ANNEE OU NEWTON COMPOSE SON TRAITE SUR LES FLUXIONS ET LES SUITES INFINIES, TEXTE DANS LEQUEL ON TROUVE LA PREMIERE TENTATIVE SYSTEMATIQUE POUR EXPRIMER LA SOLUTION D'UNE EQUATION DIFFERENTIELLE QUELCONQUE SOUS FORME DE SERIE INFINIE. DE L'AUTRE COTE, 1914, C'EST LE TERME TRADITIONNEL QUE LES HISTORIENS FIXENT AU 19EME SIECLE MAIS C'EST AUSSI LE MOMENT PRECIS OU LES RECHERCHES BALISTIQUES ENGENDREES PAR LE PREMIER - PUIS LE SECOND - CONFLIT MONDIAL FONT BASCULER L'ANALYSE NUMERIQUE DANS L'EPOQUE MODERNE, EN PROVOQUANT L'AUTOMATISATION DES CALCULS ET L'APPARITION DES CALCULATEURS ELECTRONIQUES. DE FACON GENERALE, NOUS MONTRONS QUE LES PRINCIPALES METHODES D'APPROXIMATION QUE L'ON PEUT DISTINGUER (METHODE DES SERIES, METHODE DES DIFFERENCES FINIES A PAS SEPARES, METHODE DES APPROXIMATIONS SUCCESSIVES, METHODE DES DIFFERENCES FINIES A PAS LIES, METHODE GRAPHIQUE) NAISSENT ET SE DEVELOPPENT AU SEIN DES MATHEMATIQUES APPLIQUEES, AVEC UN ROLE PREPONDERANT JOUE PAR LA MECANIQUE CELESTE.
Download or read book L int gration approch e des quations diff rentielles ordinaires written by Dominique Tournès and published by . This book was released on 1997 with total page 467 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book L int gration rapproch e des quations diff rentielles ordinaires 1671 1914 written by Dominique Tournes and published by . This book was released on 1997 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Research in History and Philosophy of Mathematics written by Maria Zack and published by Springer Nature. This book was released on 2023-05-11 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains eighteen papers that have been collected by the Canadian Society for History and Philosophy of Mathematics. It showcases rigorously-reviewed contemporary scholarship on an interesting variety of topics in the history and philosophy of mathematics, as well as the teaching of the history of mathematics. Some of the topics explored include Arabic editions of Euclid’s Elements from the thirteenth century and their role in the assimilation of Euclidean geometry into the Islamic intellectual tradition Portuguese sixteenth century recreational mathematics as found in the Tratado de Prática Darysmetica A Cambridge correspondence course in arithmetic for women in England in the late nineteenth century The mathematical interests of the famous Egyptologist Thomas Eric (T. E.) Peet The history of Zentralblatt für Mathematik and Mathematical Reviews and their role in creating a publishing infrastructure for a global mathematical literature The use of Latin squares for agricultural crop experiments at the Rothamsted Experimental Station The many contributions of women to the advancement of computing techniques at the Cavendish Laboratory at the University of Cambridge in the 1960s The volume concludes with two short plays, one set in Ancient Mesopotamia and the other in Ancient Egypt, that are well suited for use in the mathematics classroom. Written by leading scholars in the field, these papers are accessible not only to mathematicians and students of the history and philosophy of mathematics, but also to anyone with a general interest in mathematics.
Download or read book Let History into the Mathematics Classroom written by Évelyne Barbin and published by Springer. This book was released on 2017-10-27 with total page 159 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book brings together 10 experiments which introduce historical perspectives into mathematics classrooms for 11 to 18-year-olds. The authors suggest that students should not only read ancient texts, but also should construct, draw and manipulate. The different chapters refer to ancient Greek, Indian, Chinese and Arabic mathematics as well as to contemporary mathematics. Students are introduced to well-known mathematicians—such as Gottfried Leibniz and Leonard Euler—as well as to less famous practitioners and engineers. Always, there is the attempt to associate the experiments with their scientific and cultural contexts. One of the main values of history is to show that the notions and concepts we teach were invented to solve problems. The different chapters of this collection all have, as their starting points, historic problems—mathematical or not. These are problems of exchanging and sharing, of dividing figures and volumes as well as engineers’ problems, calculations, equations and congruence. The mathematical reasoning which accompanies these actions is illustrated by the use of drawings, folding, graphical constructions and the production of machines.
Download or read book A History of Algorithms written by Jean-Luc Chabert and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 522 pages. Available in PDF, EPUB and Kindle. Book excerpt: The development of computing has reawakened interest in algorithms. Often neglected by historians and modern scientists, algorithmic procedures have been instrumental in the development of fundamental ideas: practice led to theory just as much as the other way round. The purpose of this book is to offer a historical background to contemporary algorithmic practice.
Download or read book written by and published by . This book was released on 1997 with total page 680 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Numerical Analysis Historical Developments in the 20th Century written by C. Brezinski and published by Elsevier. This book was released on 2012-12-02 with total page 512 pages. Available in PDF, EPUB and Kindle. Book excerpt: Numerical analysis has witnessed many significant developments in the 20th century. This book brings together 16 papers dealing with historical developments, survey papers and papers on recent trends in selected areas of numerical analysis, such as: approximation and interpolation, solution of linear systems and eigenvalue problems, iterative methods, quadrature rules, solution of ordinary-, partial- and integral equations. The papers are reprinted from the 7-volume project of the Journal of Computational and Applied Mathematics on '/homepage/sac/cam/na2000/index.htmlNumerical Analysis 2000'. An introductory survey paper deals with the history of the first courses on numerical analysis in several countries and with the landmarks in the development of important algorithms and concepts in the field.
Download or read book Catalogue des th ses reproduites written by Atelier national de reproduction des thèses de Lille and published by . This book was released on 1997 with total page 934 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book History of mathematics review written by and published by . This book was released on 2005 with total page 660 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Theory of Probability and Statistics as Exemplified in Short Dictums written by O. B. Sheĭnin and published by . This book was released on 2006 with total page 166 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Essays in the History of Mechanics written by C. Truesdell and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume collects my shorter articles on the history of mechanics, some already published in various places, some revised from earlier papers, and some never published before. All of them began as lectures, and here they are printed as such, little changed from the last times I read them out to an audience. While the several articles concern different aspects of mechanics, overlap and even some repetition could not be avoided, since mechanics is one great science, and the same original oftentimes served more than one end in its growth. My three major historical treatises, which were published in Volumes (II) 11 , 2 12, and 13 of L. Euleri Opera Omnia, are not included. To simplify the printing I have also mostly omitted detailed reference to sources discussed more fully in those treatises, but of course I have added to the texts of the lectures citations of other sources, some notes in answer to questions a reader might ask, and biblio graphical notes at the end of each. I am grateful to the U.S. National Science Foundation for its support of this work through a grant to The Johns Hopkins University.
Download or read book Phase Integral Method written by Nanny Fröman and published by Springer Science & Business Media. This book was released on 2013-04-09 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: The result of two decades spent developing and refining the phase-integral method to a high level of precision, the authors have applied this method to problems in various fields of theoretical physics. The problems treated are of a mathematical nature, but have important physical applications. This book will thus be of great use to research workers in various branches of theoretical physics, where the problems can be reduced to one-dimensional second-order differential equations of the Schrödinger type for which phase-integral solutions are required. Includes contributions from notable scientists who have already made use of the authors'technique.
Download or read book Numerical Methods for Ordinary Differential Equations written by David F. Griffiths and published by Springer Science & Business Media. This book was released on 2010-11-11 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: Numerical Methods for Ordinary Differential Equations is a self-contained introduction to a fundamental field of numerical analysis and scientific computation. Written for undergraduate students with a mathematical background, this book focuses on the analysis of numerical methods without losing sight of the practical nature of the subject. It covers the topics traditionally treated in a first course, but also highlights new and emerging themes. Chapters are broken down into `lecture' sized pieces, motivated and illustrated by numerous theoretical and computational examples. Over 200 exercises are provided and these are starred according to their degree of difficulty. Solutions to all exercises are available to authorized instructors. The book covers key foundation topics: o Taylor series methods o Runge--Kutta methods o Linear multistep methods o Convergence o Stability and a range of modern themes: o Adaptive stepsize selection o Long term dynamics o Modified equations o Geometric integration o Stochastic differential equations The prerequisite of a basic university-level calculus class is assumed, although appropriate background results are also summarized in appendices. A dedicated website for the book containing extra information can be found via www.springer.com
Download or read book Quantum Communications and Cryptography written by Alexander V. Sergienko and published by CRC Press. This book was released on 2018-10-03 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: All current methods of secure communication such as public-key cryptography can eventually be broken by faster computing. At the interface of physics and computer science lies a powerful solution for secure communications: quantum cryptography. Because eavesdropping changes the physical nature of the information, users in a quantum exchange can easily detect eavesdroppers. This allows for totally secure random key distribution, a central requirement for use of the one-time pad. Since the one-time pad is theoretically proven to be undecipherable, quantum cryptography is the key to perfect secrecy. Quantum Communications and Cryptography is the first comprehensive review of the past, present, and potential developments in this dynamic field. Leading expert contributors from around the world discuss the scientific foundations, experimental and theoretical developments, and cutting-edge technical and engineering advances in quantum communications and cryptography. The book describes the engineering principles and practical implementations in a real-world metropolitan network as well as physical principles and experimental results of such technologies as entanglement swapping and quantum teleportation. It also offers the first detailed treatment of quantum information processing with continuous variables. Technologies include both free-space and fiber-based communications systems along with the necessary protocols and information processing approaches. Bridging the gap between physics and engineering, Quantum Communications and Cryptography supplies a springboard for further developments and breakthroughs in this rapidly growing area.
Download or read book Physical Problems Solved by the Phase Integral Method written by Nanny Fröman and published by Cambridge University Press. This book was released on 2002-06-13 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a thorough introduction to one of the most efficient approximation methods for the analysis and solution of problems in theoretical physics and applied mathematics. It is written with practical needs in mind and contains a discussion of 50 problems with solutions, of varying degrees of difficulty. The problems are taken from quantum mechanics, but the method has important applications in any field of science involving second order ordinary differential equations. The power of the asymptotic solution of second order differential equations is demonstrated, and in each case the authors clearly indicate which concepts and results of the general theory are needed to solve a particular problem. This book will be ideal as a manual for users of the phase-integral method, as well as a valuable reference text for experienced research workers and graduate students.
Download or read book Hidden Harmony Geometric Fantasies written by Umberto Bottazzini and published by Springer Science & Business Media. This book was released on 2013-06-21 with total page 860 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a history of complex function theory from its origins to 1914, when the essential features of the modern theory were in place. It is the first history of mathematics devoted to complex function theory, and it draws on a wide range of published and unpublished sources. In addition to an extensive and detailed coverage of the three founders of the subject – Cauchy, Riemann, and Weierstrass – it looks at the contributions of authors from d’Alembert to Hilbert, and Laplace to Weyl. Particular chapters examine the rise and importance of elliptic function theory, differential equations in the complex domain, geometric function theory, and the early years of complex function theory in several variables. Unique emphasis has been devoted to the creation of a textbook tradition in complex analysis by considering some seventy textbooks in nine different languages. The book is not a mere sequence of disembodied results and theories, but offers a comprehensive picture of the broad cultural and social context in which the main actors lived and worked by paying attention to the rise of mathematical schools and of contrasting national traditions. The book is unrivaled for its breadth and depth, both in the core theory and its implications for other fields of mathematics. It documents the motivations for the early ideas and their gradual refinement into a rigorous theory.
