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This volume forms a record of the lectures given at this International Conference. Under the general heading of the equations of mathematical physics, contributions are included on a broad range of topics in the theory and applications of ordinary and partial differential equations, including both linear and non-linear equations. The topics cover a wide variety of methods (spectral, theoretical, variational, topological, semi-group), and a equally wide variety of equations including the Laplace equation, Navier-Stokes equations, Boltzmann's equation, reaction-diffusion equations, Schroedinger
Differential equations --- Equations différentielles --- Congresses. --- Congrès --- Congresses --- Mathematical analysis --- 517.1 Mathematical analysis --- 517.91 Differential equations --- Differential equations - Congresses
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This comprehensive history traces the development of mathematical ideas and the careers of the men responsible for them. Volume 1 looks at the discipline's origins in Babylon and Egypt, the creation of geometry and trigonometry by the Greeks, and the role of mathematics in the medieval and early modern periods. Volume 2 focuses on calculus, the rise of analysis in the nineteenth century, and the number theories of Dedekind and Dirichlet. The concluding volume covers the revival of projective geometry, the emergence of abstract algebra, the beginnings of topology, and the influence of Gdel on recent mathematical study.
Mathematics --- Mathematical analysis --- 517.1 Mathematical analysis --- Math --- Science --- History. --- Mathématiques --- History --- Histoire. --- Mathématiques --- Histoire --- Mathematics - History
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Number theory --- Mathematical analysis --- Congresses. --- 51 --- -Number theory --- -Number study --- Numbers, Theory of --- Algebra --- Advanced calculus --- Analysis (Mathematics) --- Mathematics --- Congresses --- 517.1 Mathematical analysis --- 51 Mathematics --- -Mathematics --- -51 Mathematics --- Number study --- 517.1 --- Mathematical analysis - Congresses. --- Number theory - Congresses.
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Generalized functions : theory and technique
Theory of distributions (Functional analysis). --- Distribution [Analyse fonctionnelle]. --- Distributies [Functionaalanalyse]. --- Theory of distributions (Functional analysis) --- Mathematical analysis. --- 517.1 Mathematical analysis --- Mathematical analysis --- Distribution (Functional analysis) --- Distributions, Theory of (Functional analysis) --- Functions, Generalized --- Generalized functions --- Functional analysis
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This book lays the algebraic foundations of a Galois theory of linear difference equations and shows its relationship to the analytic problem of finding meromorphic functions asymptotic to formal solutions of difference equations. Classically, this latter question was attacked by Birkhoff and Tritzinsky and the present work corrects and greatly generalizes their contributions. In addition results are presented concerning the inverse problem in Galois theory, effective computation of Galois groups, algebraic properties of sequences, phenomena in positive characteristics, and q-difference equations. The book is aimed at advanced graduate researchers and researchers.
Group theory --- Functional analysis --- Difference equations --- Galois theory --- Mathematical Theory --- Operations Research --- Mathematics --- Civil & Environmental Engineering --- Physical Sciences & Mathematics --- Engineering & Applied Sciences --- Equations aux differences --- Galois [Theorie de ] --- Galois [Theorie van ] --- Vergelijkingen met differenties --- Mathematical analysis. --- Analysis (Mathematics). --- Algebra. --- Analysis. --- Mathematical analysis --- 517.1 Mathematical analysis --- Difference equations. --- Galois theory. --- Equations, Theory of --- Number theory --- Calculus of differences --- Differences, Calculus of --- Equations, Difference
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Huygens, Christiaan --- Newton, Isaac --- Barrow, Isaac --- Mathematical analysis --- Mathematical physics --- History --- 544.273.4 --- #WBIB:dd.Lic.L.De Busschere --- Quasicrystalline model (physical chemistry) --- Physical mathematics --- Physics --- 517.1 Mathematical analysis --- Mathematics --- 517.1 --- 17th century --- Mathematical analysis - History - 17th century. --- Mathematical physics - History - 17th century. --- Mathematical analysis - History - 17th century --- Mathematical physics - History - 17th century
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Mathematical analysis --- Mathematics --- Philosophy and science --- Analyse mathématique --- Mathématiques --- Philosophie et sciences --- History. --- Philosophy. --- Histoire --- Philosophie --- -Mathematics --- -Math --- Science --- Advanced calculus --- Analysis (Mathematics) --- Algebra --- History --- Philosophy --- 517.1 Mathematical analysis --- -History --- Analyse mathématique --- Mathématiques --- Logic of mathematics --- Mathematics, Logic of --- 517.1 --- Mathematical analysis - History. --- Mathematics - Philosophy.
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Electronic data processing --- Mathematical analysis --- 517.1 Mathematical analysis --- ADP (Data processing) --- Automatic data processing --- Data processing --- EDP (Data processing) --- IDP (Data processing) --- Integrated data processing --- Computers --- Office practice --- Automation --- Quantitative methods in social research --- 517.1. --- Electronic data processing. --- Mathematical analysis. --- Social sciences --- 517.1
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Mathematical analysis --- Analyse (Mathématique) --- Analyse (Wiskunde) --- Analyse mathématique --- Analysis (Mathematics) --- Fonctions de variables reelles --- Functies van reële veranderlijken --- Functions of real variables --- Wiskundige analyse --- Functions of real variables. --- Mathematical analysis. --- 517.51 --- Advanced calculus --- Algebra --- Real variables --- Functions of complex variables --- Functions of a real variable. Real functions --- 517.1 Mathematical analysis --- 517.51 Functions of a real variable. Real functions --- 517.1. --- 517.1
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This is an outstanding collection of original essays. All of them concern the history and philosophy of mathematics and physics in the years from 1870 to 1930. More specifically, they are intellectual histories of the interactions between the three disciplines, philosophy, mathematics and physics, in that period. And as the essays bring out, what a period it was: of both ferment and synergy, heat and light! Most of the giants - especially Helmholtz, Hertz, Poincare, Hilbert, Einstein and Weyl - are here: engaging not just in physics and mathematics but also in philosophy, often together, or with figures like Schlick. The editors are to be congratulated on a major contribution to our understanding of one of the most complex but fertile periods in the history of all three disciplines. - Jeremy Butterfield, University of Cambridge This stimulating volume covers a wide range of topics which are of direct interest to anyone who thinks about the curious relation between mathematics and the natural world. Philosophers often pose interesting questions about the "dispensability" of mathematics to science. But they too often overlook the wealth of philosophical perplexities that can arise in detailed examples and case studies, both contemporary and historical. This volume refocuses our attention by addressing a number of topics connected to applied mathematics, any one of which is worthy of every philosopher’s attention. - James Robert Brown, University of Toronto What to make of neo-Kantianism in its hey-day, from 1840-1940? It was the most prolific of times and the most seminal, it was the most muddled and confused, it is philosophy working at its hardest with science and most damagingly against science. It is examined here episodically, as it engaged individual scientists: Helmholtz, , Hertz, Poincare, Minkowski, Hilbert, Eddington and Weyl. If Einstein is not in their number, he had to contend with their influence, and anyway he transformed their agenda. The essays on these figures are glinting in their focus and scholarship. Whatever one thinks of neo-Kantianism, this book is history and philosophy of science at its best: mathematically and physically informed, historically engaged, and philosophically driven. - Simon Saunders, University of Oxford Ten first-rate philosopher-historians probe insightfully into key conceptual questions of pre-quantum mathematical physics, from Helmholtz and Boltzmann, through Hertz and Lorentz, to Einstein, Weyl and Eddington, with an interesting aside on the rarely studied philosophy of Federigo Enriques. A rich and effective display of what the critical history of science can do for our understanding of scientific thought and its achievements. Roberto Torretti, University of Puerto Rico.
History of philosophy --- Pure sciences. Natural sciences (general) --- Theory of knowledge --- History of physics --- filosofie --- epistomologie --- Mathematics --- geschiedenis --- Philosophy of science --- wetenschapsgeschiedenis --- wiskunde --- epistemologists --- fysica --- Philosophy. --- History. --- Philosophy and science. --- Mathematics. --- Physics. --- Philosophy, general. --- History of Mathematical Sciences. --- History of Science. --- Philosophy of Science. --- History and Philosophical Foundations of Physics. --- History of Philosophy. --- Science and philosophy --- Science --- Natural philosophy --- Philosophy, Natural --- Physical sciences --- Dynamics --- Math --- Annals --- Auxiliary sciences of history --- Mental philosophy --- Humanities --- Mathematical analysis --- Physics --- Causality (Physics) --- Foundations. --- 517.1 --- Philosophy and science --- Normal science --- Logic of mathematics --- Mathematics, Logic of --- Causality --- Heisenberg uncertainty principle --- Nuclear physics --- Quantum theory --- 517.1 Mathematical analysis --- Philosophy --- Causality (Physics). --- Philosophy (General). --- Foundations
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