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Euclid the creation of mathematics

Benno Artmann

New York Springer c1999

Localização: ICMC - Inst. Ciên. Mat. Computação    (01A70 A787ec e.1 )(Acessar)

  • Título:
    Euclid the creation of mathematics
  • Autor: Benno Artmann
  • Assuntos: Euclid Elements; Mathematics, Greek; MATEMÁTICA (BIOGRAFIA HISTÓRICA) -- GRÉCIA; GEOMETRIA EUCLIDIANA
  • Notas: Includes bibliographical references and index
  • Descrição: 1. General Historical Remarks -- 2. The Contents of the Elements -- 3. The Origin of Mathematics 1: The Testimony of Eudemus -- 4. Euclid Book I -- 5. The Origin of Mathematics 2: Parallels and Axioms -- 6. The Origin of Mathematics 3: Pythagoras of Samos -- 7. Euclid Book II -- 8. The Origin of Mathematics 4: Squaring the Circle -- 9. Euclid Book III -- 10. The Origin of Mathematics 5: Problems and Theories -- 11. Euclid Book IV -- 12. The Origin of Mathematics 6: The Birth of Rigor -- 13. The Origin of Mathematics 7: Polygons After Euclid -- 14. Euclid Book V -- 15. Euclid Book VI -- 16. The Origin of Mathematics 8: Be Wise, Generalize -- 17. Euclid Book VII -- 18. The Origin of Mathematics 9: Nicomachus and Diophantus -- 19. Euclid Book VIII -- 20. The Origin of Mathematics 10: Tools and Theorems -- 21. Euclid Book IX -- 22. The Origin of Mathematics 11: Math Is Beautiful -- 23. Euclid Book X -- 24. The Origin of Mathematics 12: Incommensurability and Irrationality
    25. Euclid Book XI -- 26. The Origin of Mathematics 13: The Role of Definitions -- 27. Euclid Book XII -- 28. The Origin of Mathematics 14: The Taming of the Infinite -- 29. Euclid Book XIII -- 30. The Origin of Mathematics 15: Symmetry Through the Ages -- 31. The Origin of Mathematics 16: The Origin of the Elements
    "For each of Euclid's thirteen Books, the author has given a general description of the contents and structure of the Book, plus one or two sample proofs. In an accompanying section, the reader will find items of general interest for mathematics, such as the question of parallels, squaring the circle, problem and theory, what rigor is, the history of the platonic polyhedra, irrationals, the process of generalization, and more."--BOOK JACKET. "This is a book for all lovers of mathematics with a solid background in high school geometry, from teachers and students to university professors. It is an attempt to understand the nature of mathematics from its most important early source."--BOOK JACKET
  • Editor: New York Springer
  • Data de criação/publicação: c1999
  • Formato: xvi, 349 p ill 23 cm.
  • Idioma: Inglês
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  • Realização: ABCD-USP USP   Logos de Redes Sociais: Freepik

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