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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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Kleiner, Israel (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Boston, MA : Birkhäuser Boston : Imprint: Birkhäuser, 2012.
Edición:1st ed. 2012.
Temas:
Mathematics.
History.
Mathematics-Study and teaching .
Number theory.
Mathematical analysis.
Mathematical logic.
History of Mathematical Sciences.
Mathematics Education.
Number Theory.
Analysis.
Mathematical Logic and Foundations.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • 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.

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