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  • 1
    Online-Ressource
    Online-Ressource
    Amsterdam ; : Elsevier,
    UID:
    almafu_9958092904902883
    Umfang: 1 online resource (1042 p.)
    Ausgabe: 1st ed.
    ISBN: 1-280-63373-5 , 9786610633739 , 0-08-045744-4
    Inhalt: This book contains around 80 articles on major writings in mathematics published between 1640 and 1940. All aspects of mathematics are covered: pure and applied, probability and statistics, foundations and philosophy. Sometimes two writings from the same period and the same subject are taken together. The biography of the author(s) is recorded, and the circumstances of the preparation of the writing are given. When the writing is of some lengths an analytical table of its contents is supplied. The contents of the writing is reviewed, and its impact described, at least for the immediate decades
    Anmerkung: Description based upon print version of record. , front cover; copyright; Table of Contents; body; 0 Introduction; Waves in the sea; Organisation of the articles; Some principal limitations; Acknowledgements; Bibliography 0; 1. René Descartes, GÉOMÉTRIE, Latin edition (1649), French edition (1637); Youth, from La Flèche to the REGULAE; Descartes in Holland and Stockholm; The GÉOMÉTRIE; The `construction' of the expressions; Compasses, ruler-and-slide, criterion for `continuous motions'; The problem of Pappus and an algebraic criterion; Tangents; Ovals; Algebraic equations; The `construction' of equations; From the GÉOMÉTRIE to the ENUMERATIO , `PROLES SINE MATRE CREATA'Bibliography; 2. John Wallis, Arithmetica infinitorum (1656); Background to the ARITHMETICA INFINITORUM; Methods and results in the ARITHMETICA INFINITORUM; The motivation to `Wallis's product'; Reactions to the ARITHMETICA INFINITORUM; Bibliography 2; 3. Christiaan Huygens, book on the pendulum clock (1673); The three strands of Huygens's research; Pendulum clocks; The five parts of HOROLOGIUM OSCILLATORIUM; On Huygens's mathematical style; Unfocused reception; Bibliography 3; 4. Gottfried Wilhelm Leibniz, first three papers on the calculus (1684, 1686, 1693) , Leibniz's research on the infinitesimal mathematicsThe enigmatic first publication; The early reception of the differential calculus; The first papers on integral calculus; The spread of the Leibnizian calculus; Bibliography 4; 5. Isaac Newton, philosophiae naturalis principia mathematica, first edition (1687); Newton's mathematical methods; Early studies on the motion of bodies and on planetary motion; The PRINCIPIA (1687): definitions and laws; The PRINCIPIA (1687): limits; The PRINCIPIA (1687): the area law; The PRINCIPIA (1687): central forces; The PRINCIPIA (1687): Pappus's problem , The PRINCIPIA (1687): algebraic non-integrability of ovalsThe PRINCIPIA (1687): the general inverse problem of central forces; The PRINCIPIA (1687): universal gravitation; Revisions (1690s), second (1713) and third (1726) editions; The impact of the PRINCIPIA; Bibliography 5; 6. Jakob Bernoulli, Ars conjectandi (1713); Background and story of publication; Content and structure of the AC; Huygens's De rationciniis in ludo aleae with Bernoulli's annotations; Combinatorics as the main tool of the art of conjecturing; New problems and exercises in the third Part , The transition to a calculus of probabilities in the fourth PartThe impact of the Ars conjectandi; Bibliography 6; 7. Abraham de Moivre, The doctrine of chances (1718, 1738, 1756); Background and story of the publication; The introduction of the Doctrine of chances, and the mathematical requirements for the reader as announced in the preface; Generating functions; A `new sort of algebra' in the Doctrine of chances; The duration of play; The approximation of the binomial by the normal distribution; Annuities on lives; Impact of the DoC; Bibliography 7; 8. George Berkeley, The analyst (1734) , Berkeley's life and works , English
    Weitere Ausg.: ISBN 0-444-50871-6
    Sprache: Englisch
    Schlagwort(e): Bibliografie
    Bibliothek Standort Signatur Band/Heft/Jahr Verfügbarkeit
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  • 2
    UID:
    gbv_473338467
    Umfang: XVII, 1022 S. , Ill., graph. Darst , 24cm
    ISBN: 9780444508713 , 0444508716
    Anmerkung: Includes index
    Weitere Ausg.: Online-Ausg. u.d.T. Landmark writings in Western mathematics 1640 - 1940 Amsterdam [u.a.] : Elsevier, 2005 ISBN 0080457444
    Weitere Ausg.: ISBN 9780080457444
    Weitere Ausg.: ISBN 9780444508713
    Weitere Ausg.: ISBN 0444508716
    Sprache: Englisch
    Schlagwort(e): Mathematik ; Geschichte ; Mathematik ; Geschichte 1649-1939 ; Mathematik ; Geschichte 1640-1940 ; Aufsatzsammlung ; Bibliografie
    Bibliothek Standort Signatur Band/Heft/Jahr Verfügbarkeit
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  • 3
    Online-Ressource
    Online-Ressource
    Amsterdam [u.a.] : Elsevier
    UID:
    gbv_164585941X
    Umfang: Online Ressource
    Ausgabe: 1st ed.
    Ausgabe: Reproduktion ScienceDirect
    ISBN: 0080457444 , 9780080457444 , 9780444508713 , 0444508716
    Inhalt: A selection of contents: -- 1649 Reň Descartes, Geometria (Michel Serfati) -- 1684 G.W. Leibniz, first two calculus papers (Silvia Roero) -- 1687 Isaac Newton, Principia mathematica (Niccolo' Guicciardini) -- 1713 James Bernoulli, De arte conjectandi (Ivo Schneider) -- 1738 Daniel Bernoulli, Hydrodynamica (Gleb Mikhailov) -- 1743 Jean le Rond dAlembert, Traiť de dynamique (Helmut Pulte) -- 1748 Leonhard Euler, Introductio ad analysin infinitorum (Karin Reich) -- 1755 Leonhard Euler, Differentialis (Sergei Demidov) -- 1763 Thomas Bayes and Richard Price, paper on probability theory (Andrew Dale) -- 1788 J.L. Lagrange, M̌chanique analitique (Helmut Pulte) -- 1799-1805 P.S. Laplace, Exposition du syst͏̈me du monde, second edition, and M̌canique čleste (I. Grattan-Guinness) -- 1801 C.F. Gauss, Disquisitiones arithmeticae (Olaf Neumann) -- 1812, 1814 P.S. Laplace, Tȟorie analytique des probabiliťs and Essai philosophique (Stephen M. Stigler) -- 1821, 1823 A.-L. Cauchy, Cours danalyse and Řsum̌ of the calculus (I. Grattan-Guinness) -- 1822 J.B.J. Fourier, Tȟorie analytique de la chaleur (I. Grattan-Guinness) -- 1822 J.V. Poncelet, Traiť des proprǐťs projectives des figures (Jeremy Gray) -- 1844 Hermann Grassmann, Die lineale Ausdehnungslehre (Albert Lewis) -- 1851 Bernhard Riemann, thesis on complex-variable analysis (Peter Ullrich) -- 1853 W.R. Hamilton, Lectures on quaternions (Albert Lewis) -- 1854 George Boole, Laws of thought (I. Grattan-Guinness) -- 1862 J.P.G. Lejeune-Dirichlet and Richard Dedekind, Vorlesungen über Zahlentheorie (Catherine Goldstein) -- 1867 W. Thomson and P.G. Tait, Treatise on natural philosophy (Norton Wise) -- 1867 Bernhard Riemann, thesis on the foundations of geometries (Jeremy Gray) -- 1872 Felix Klein, essay on the Erlangen programme (Jeremy Gray) -- 1872-1891 Oliver Heaviside, Electrical papers (Ido Yavetz) -- 1881 Henri Poincař, prize essay on the three-body problem (June Barrow-Green) -- 1897 David Hilbert, report on number theory (Norbert Schappacher) -- 1899 David Hilbert, Grundlagen der Geometrie (Michael Toepell) -- 1900 David Hilbert, lecture on mathematical problems (Michiel Hazewinkel) -- 1900 Karl Pearson, papers on statistics (Eileen Magnello) -- 1904-1905 Henri Lebesgue, books on Inťgration and on Šries trigonom̌triques, and -- 1915-1916 Albert Einstein, papers on general relativity theory (Tilman Sauer) -- 1917 dArcy Wentworth Thompson, On growth and form (Tim Horder) -- 1925 R.A. Fisher, Statistical methods for research workers (Anthony Edwards) -- 1927 G.D. Birkhoff, Dynamical systems (David Aubin) -- 1930 Paul Dirac, Principles of quantum mechanics and -- 1930-1931 B.L. van der Waerden, Moderne Algebra (Karl-Heinz Schlote) -- 1933 Andrei Kolmogorov, Wahrscheinlichkeitsrechnung (Jan von Plato) -- 1934, 1939 David Hilbert and Paul Bernays, Grundlagen der Mathematik (Wilfried Sieg)
    Inhalt: This book contains around 80 articles on major writings in mathematics published between 1640 and 1940. All aspects of mathematics are covered: pure and applied, probability and statistics, foundations and philosophy. Sometimes two writings from the same period and the same subject are taken together. The biography of the author(s) is recorded, and the circumstances of the preparation of the writing are given. When the writing is of some lengths an analytical table of its contents is supplied. The contents of the writing is reviewed, and its impact described, at least for the immediate decades. Each article ends with a bibliography of primary and secondary items. First book of its kind Covers the period 1640-1940 of massive development in mathematics Describes many of the main writings of mathematics Articles written by specialists in their field
    Anmerkung: Title from e-book title screen (viewed Oct. 15, 2007). - Includes bibliographical references and index , English
    Weitere Ausg.: ISBN 0444508716
    Weitere Ausg.: Erscheint auch als Druck-Ausgabe Landmark writings in Western mathematics Amsterdam [u.a.] : Elsevier, 2005 ISBN 9780444508713
    Weitere Ausg.: ISBN 0444508716
    Sprache: Englisch
    Schlagwort(e): Mathematik ; Geschichte ; Mathematik ; Geschichte 1649-1939 ; Westliche Welt ; Mathematik ; Electronic books ; Electronic books ; Bibliografie
    URL: Volltext  (Deutschlandweit zugänglich)
    Bibliothek Standort Signatur Band/Heft/Jahr Verfügbarkeit
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  • 4
    Online-Ressource
    Online-Ressource
    Amsterdam ; : Elsevier,
    UID:
    almahu_9949087359302882
    Umfang: xvii, 1022 p. : , ill. (1 col.)
    Ausgabe: 1st ed.
    Ausgabe: Electronic reproduction. Ann Arbor, MI : ProQuest, 2015. Available via World Wide Web. Access may be limited to ProQuest affiliated libraries.
    Sprache: Englisch
    Schlagwort(e): Electronic books.
    Bibliothek Standort Signatur Band/Heft/Jahr Verfügbarkeit
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