Excursions in the history of mathematics

This book comprises five parts. The first three contain ten historical essays on important topics: number theory, calculus/analysis, and proof, respectively.  Part four deals with several historically oriented courses, and Part five provides biographies of five mathematicians who played major roles...

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Dades bibliogràfiques
Autor principal: Kleiner, Israel, 19..-
Format: Livre numérique
Idioma:Anglais
Publicat: Boston, MA : Birkhäuser Boston [20..].
Cham : Springer Nature
Edició:1st ed. 2012.
Matèries:
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Accès Université d'Orléans
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Nota: Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
Autres localisations: Voir dans le Sudoc
Edition sous un autre format:• Excursions in the history of mathematics, Israel Kleiner, [Basel], Birkhäuser, Springer, 2012, 1 vol. (xxi, 347 p.), 978-0-8176-8267-5
Taula de continguts:
  • A. Number Theory 1. Highlights in the History of Number Theory: 1700 BC - 2008 2. Fermat: The Founder of Modern Number Theory 3. Fermat's Last Theorem: From Fermat to Wiles B. Calculus/Analysis 4. A History of the Infinitely Small and the Infinitely Large in Calculus, with Remarks for the Teacher 5. A Brief History of the Function Concept 6. More on the History of Functions, Including Remarks on Teaching C. Proof 7. Highlights in the Practice of Proof: 1600 BC - 2009 8. Paradoxes: What are they Good for? 9. Principle of Continuity: 16th - 19th centuries 10. Proof: A Many-Splendored Thing D. Courses Inspired by History 11. Numbers as a Source of Mathematical Ideas 12. History of Complex Numbers, with a Moral for Teachers 13. A History-of-Mathematics Course for Teachers, Based on Great Quotations 14. Famous Problems in Mathematics E. Brief Biographies of Selected Mathematicians 15. The Biographies Index