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Eine kurze Geschichte der Analysis

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Springer Nature
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9783662578155
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Wer Analysis lernt, fragt sich irgendwann: Wie und warum kamen all diese merkwrdigen Begriffe zustande Zahl, Funktion, Stetigkeit, Konvergenz, Differenzial, Integral? Wer hat eigentlich die mathematische Formel erfunden? Aber auch: Wovon handelt Mathematik berhaupt? Von unbezweifelbaren Wahrheiten? Von ntzlichen Konstruktionen? Ist Mathematik Glaubenssache? Diese und viele andere Fragen werden anhand der Originalliteratur aus den letzten 350 Jahren beantwortet: Newton, Leibniz, Johann Bernoulli, Euler, d'Alembert, Bolzano, Cauchy, Riemann, Weierstra, Cantor, Dedekind, Hilbert, Schmieden und Laugwitz. Die Herkunft der heutigen Fachbegriffe aus ihren philosophischen Wurzeln wird so fr den Leser nachvollziehbar, er erkennt die Brchigkeit der teils willkrlich gesetzten Aspekte und erlebt den dadurch bedingten Wandel mathematischer Grundbegriffe. Das Buch ist knapp, przise und zugleich sehr anschaulich verfasst. Wer es verstehen will, muss schon einmal Erfahrung mit Analysis gemacht und von Funktion, Stetigkeit und Konvergenz etwas gehrt haben zum Verstndnis sind aber fast berall Abiturkenntnisse ausreichend. Das Buch ist somit sowohl fr Lehramtsstudierende und interessierte Mathematiker als auch Historiker und Philosophen geeignet.

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