When Least Is Best : How Mathematicians Discovered Many Clever Ways to Make Things as Small (or as Large) as Possible /

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What is the best way to photograph a speeding bullet? Why does light move through glass in the least amount of time possible? How can lost hikers find their way out of a forest? What will rainbows look like in the future? Why do soap bubbles have a shape that gives them the least area? By combining...

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Detalles Bibliográficos
Autor principal: Nahin, Paul J. (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Princeton : Princeton University Press, 2007.
Colección:Book collections on Project MUSE.
Temas:
Maxima and minima.
Mathematics.
Mathematical optimization.
Calculus.
MATHEMATICS > History & Philosophy.
MATHEMATICS > Combinatorics.
Optimisation mathematique.
Calcul infinitesimal > Histoire.
Mathematiques > Histoire.
Maximums et minimums.
Calculus > History.
Mathematics > History.
History.
Electronic books.
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Minimums, maximums, derivatives, and computers
  • The first extremal problems
  • Medieval maximization and some modern twists
  • The forgotten war of Descartes and Fermat
  • Calculus steps forward, center stage
  • Beyond calculus
  • The modern age begins
  • Appendix A. The AM-GM Inequality
  • Appendix B. The AM-QM Inequality, and Jensen's Inequality.
  • Appendix C. "The sagacity of the bees" (the preface to Book 5 of Pappus' Mathematical collection)
  • Appendix D. Every convex figure has a perimeter bisector
  • Appendix E. The gravitational free-fall descent time along a circle
  • Appendix F. The area enclosed by a closed curve
  • Appendix G. Beltrami's identity
  • Appendix H. The last word on the lost fisherman problem
  • Appendix I. Solution to the new challenge problem.

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