Mathematical Vistas - From a Room with Many Windows

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Jean Pedersen et Peter Hilton - Mathematical Vistas - From a Room with Many Windows.
The purpose of this book, like that of its earlier companion volume, Mathematical Reflections, is to provide a relaxed and informal treatment of several... Lire la suite
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The purpose of this book, like that of its earlier companion volume, Mathematical Reflections, is to provide a relaxed and informal treatment of several mathematical topics that will convey to the reader-presumed to have the mathematical maturity of, say, a bright freshman at an American university or college-a sense of the pleasurable excitement that accompanies genuine mathematical discovery. The text presents nine topics in nine chapters. Several of the topics are related to one another, but the chapters may be read in any order preferred by the reader. Each topic is treated with what the authors regard as the attention to detail appropriate to its level of difficulty. These topics range from Andrew Wiles' famous proof of Fermat's Last Theorem, where the key ideas are presented, but no attempt et completeness is made, to the discussion of paradoxes in which all relevant arguments are given in full. Each chapter is provided with "Breaks," in which readers can test their understanding of the material just presented by answering questions.


    • Paradoxes in mathematics
    • Not the last of Fermat
    • Fibonacci and Lucas numbers: their connections and divisibility properties
    • Paper-folding, polyhedra-building, and number theory
    • Are four colors really enough?
    • From binomial to trinomial coefficients and beyond
    • Catalan numbers
    • Symmetry
    • Parties


  • Date de parution
  • Editeur
  • Collection
  • ISBN
  • EAN
  • Présentation
  • Nb. de pages
    335 pages
  • Poids
    0.79 Kg
  • Dimensions
    18,4 cm × 24,2 cm × 2,2 cm

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À propos des auteurs

Peter Hilton is Distinguished Professor of Mathematics Emeritus at the State University of New York, Binghamton, and Distinguished Professor of Mathematics at the University of Central Florida, Orlando. He is the author of several books (some published by Springer-Verlag) and over 500 research articles. Derek Holton is Professor of Pure Mathematics at the University of Otago, Dunedin, New Zealand. Together with his co-authors, he wrote Mathematical Reflections. He chairs a study, under the auspices of the International Commission on Mathematical Instruction, on the teaching and learning of mathematics at the university level. Jean Pedersen is Professor of Mathematics and Computer Science at Santa Clara University, California. She and Peter Hilton have published together 5 books and over 80 research articles. She was the 1997 recipient of a Distinguished University Teaching Award from the Northern California Section of the Mathematical Association of America.

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