Download E-books Learn from the Masters (Classroom Resource Materials) PDF

By Frank Swetz

This booklet is for prime university and faculty academics who need to know how they could use the historical past of arithmetic as a pedagogical software to assist their scholars build their very own wisdom of arithmetic. frequently, a old improvement of a selected subject is find out how to current a mathematical subject, yet academics won't have the time to do the learn had to current the cloth. This e-book offers its readers with ancient rules and insights that are instantly utilized within the lecture room. The publication is split into sections: the 1st at the use of heritage in highschool arithmetic, and the second one on its use in college arithmetic. The articles are different, protecting fields corresponding to trigonometry, mathematical modeling, calculus, linear algebra, vector research, and celestial mechanics. additionally incorporated are articles of a a bit philosophical nature, which provide common rules on why background will be utilized in instructing and the way it may be utilized in a number of unique varieties of classes. every one article incorporates a bibliography to lead the reader to additional studying at the topic.

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Download E-books How Euler Did Even More (Spectrum) PDF

Sandifer has been learning Euler for many years and is among the international s best specialists on his paintings. This quantity is the second one selection of Sandifer s How Euler Did It columns. each one is a jewel of historic and mathematical exposition. The sum overall of years of labor and examine of the main prolific mathematician of background, this quantity will depart you marveling at Euler's smart inventiveness and Sandifer's really good skill to explicate and positioned all of it in context.

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Download E-books 1+1=10: Mathematik für Höhlenmenschen (German Edition) PDF

By Jürgen Beetz

Mehr als die einfache Logik eines Frühmenschen brauchen Sie nicht, um die Grundzüge der Mathematik zu verstehen. Denn Sie treffen in diesem Buch viele einfache, quick gefühlsmäßig zu erfassende mathematische Prinzipien des täglichen Lebens.

Deswegen kann der Autor bei seinem Versuch, die Mathematik „begreiflich“ zu machen, in die Steinzeit zurückgehen – genauer gesagt: etwa in die Jungsteinzeit, 10.000 Jahre vor unserer Zeitrechnung. Ackerbau und Viehzucht hatten schon begonnen.

Dort treffen Sie Eddi Einstein, den Denker und Rudi Radlos, den Erfinder – die Hauptakteure. Ein dritter Geselle ist Siggi Spökenkieker, der Druide und Seher. Siggi ist mit der Gabe der Präkognition gesegnet. So können wir Eddi, den Denker, mit Erkenntnissen ausstatten, die erst Jahrtausende später von bedeutenden Philosophen und Mathematikern erlangt worden waren. Die wahre Meisterin dieser Wissenschaftsdisziplin ist jedoch Wilhelmine Wicca. Sie struggle so klug wie die drei Kerle zusammen. Deshalb galt sie auch als Hexe – used to be damals ein Ehrentitel warfare – und als weise Frau.

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Download E-books Die Lieschen Gruppen in der modernen Mathematik / Mathematische Probleme der modernen Wellenoptik (Arbeitsgemeinschaft für Forschung des Landes Nordrhein-Westfalen) (German Edition) PDF

By Jean Alexandre Dieudonné, Jean Dieudonné

The writer describes the improvement of the Lie teams and their advert vancement into the fashionable arithmetic. on the finish of the final century Sophus Lie investigated in his voluminous paintings the neighborhood houses of the Lie teams. now not earlier than approximately 1925 mathematicians, instigated by way of E. Cartan and H. Weyl, engaged in gaining knowledge of their worldwide constitution. Very quickly the belief of Lie teams triumphantly complex in the entire scope of arithmetic. the writer offers a close account of a number of the purposes of the Lie teams, particularly the linear representations of the Lie teams, their purposes in differential geometry, differential topology, in algebraic geometry and re cently in mathematics and within the idea of finite teams. Resume L'auteur deerit le developpement des groupes de Lie et leur entree dans les mathematiques modernes. Sophus Lie a etudie les proprietes loeales des groupes de Lie dans son reuvre volumineux aIa fin du dernier siede. Ce n' etait qu' a partir de 1925 qu' on s'est oeeupe de leur strueture globale aI'instigation de E. Cartan et H. Wey!.

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