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    1. Naturvetenskap och teknik
    2. Matematik och naturvetenskap
    3. Matematik

    Euler at 300

    An Appreciation

    AvRobert F. Bradley,Lawrence A. D'Antonio

    Häftad, Engelska, 2007

    Del i serien Spectrum

    418 kr

    Beställningsvara. Skickas inom 5-8 vardagar. Fri frakt över 249 kr.

    Beskrivning

    When an important mathematician celebrates a landmark birthday, other mathematicians sometimes gather together to give papers in appreciation of the life and work of the great person. When a mathematician as influential and productive as Euler celebrates an anniversary as important as the 300th, a single meeting isn't sufficient to present all of the contributions. Leonhard Euler (1707-1783) was the most important mathematician of the 18th century. His collected works, with 800 books and articles, fill over 70 large volumes. He revolutionized real analysis and mathematical physics, single-handedly established the field of analytic number theory, and made important contributions to almost every other branch of mathematics. A great pedagogue as well as a great researcher, his textbooks educated the next generation of mathematicians. During the years leading up to Leonhard Euler's tercentenary, at more than a dozen academic meetings across the USA and Canada, mathematicians and historians of mathematics honored Euler in papers detailing his life and work. This book collects more than 20 papers based on some of the most memorable of these contributions. These papers are accessible to a broad mathematical audience. They will appeal to those who already have an interest in the history of mathematics. For those who don't, they will serve as a compelling introduction to the subject, focused on the accomplishments of one of the great mathematical minds of all time. Topics include analysis-especially Euler's fearless and masterful manipulation of power series-geometry, algebra, probability, astronomy and mechanics.

    Produktinformation

    • Utgivningsdatum:2007-12-31
    • Format:Häftad
    • Språk:Engelska
    • Serie:Spectrum
    • Antal sidor:298
    • Förlag:American Mathematical Society
    • ISBN:9781470479855

    Utforska kategorier

    • Matematik inom Naturvetenskap och teknik

    Recensioner i media

    The writing is uniformly high level and should interest both historians of mathematics and indeed any mathematician with a fondness for Euler. Highly Recommended — Choice The essays are well-written and clearly presented; many of them are accessible to a motivated reader while others are set at a more advanced level....These essays provide evidence that one can combine an avid interest in technical science with a substantial interest in history."" — Charles Fraser, Isis

    Innehållsförteckning

    • ArticlesRudiger Thiele, Leonhard Euler, the Decade 1750-1760C. Edward Sandifer, Euler's Fourteen ProblemsDominic Klyve and Lee Stemkoski, The Euler Archive: Giving Euler to the WorldChristopher Baltus, The Euler-Bernoulli Proof of the Fundamental Theorem of AlgebraStacy G. Langton, The Quadrature of Lunes, from Hippocrates to EulerRudiger Thiele, What is a function?Janet Heine Barnett, Enter, Stage Center: The Early Drama of the Hyperbolic FunctionsC. Edward Sandifer, Euler's Solution of the Basel Problem-The Longer StoryLawrence D'Antonio, Euler and Elliptic IntegralsMark McKinzie, Euler's Observations on Harmonic ProgressionsMark McKinzie, Origins of a classic formalist argument: power series expansions of the logarithmic and exponential functionsDick Jardine, Taylor and Euler: Linking the Discrete and ContinuousDavid J. Pengelley, Dances between continuous and discrete: Euler's summation formulaStacy G. Langton, Some Combinatorics in Jacob Bernoulli's Ars ConjectandiRobert E. Bradley, The Genoese Lottery and the Partition FunctionCarolyn Lathrop and Lee Stemkoski, Parallels in the Work of Leonhard Euler and Thomas ClausenRobert E. Bradley, Three Bodies? Why not Four? The Motion of the Lunar ApsidesLawrence D'Antonio, ""The fabric of the universe is most perfect"": Euler's research on elastic curvesRoger Godard, The Euler Advection EquationC. Edward Sandifer, Euler Rows the BoatGeorge W. Heine, III, Lambert, Euler, and Lagrange as Map Makers