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Viser: The Art of Proof - Basic Training for Deeper Mathematics

The Art of Proof - Basic Training for Deeper Mathematics, 1. udgave

The Art of Proof

Basic Training for Deeper Mathematics
Matthias Beck og Ross Geoghegan
(2010)
Sprog: Engelsk
Springer London, Limited
435,00 kr.
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Detaljer Om Varen

  • 1. Udgave
  • Hardback: 204 sider
  • Udgiver: Springer London, Limited (August 2010)
  • Forfattere: Matthias Beck og Ross Geoghegan
  • ISBN: 9781441970220
The Art of Proof is designed for a one-semester or two-quarter course. A typical student will have studied calculus (perhaps also linear algebra) with reasonable success. With an artful mixture of chatty style and interesting examples, the student's previous intuitive knowledge is placed on solid intellectual ground. The topics covered include: integers, induction, algorithms, real numbers, rational numbers, modular arithmetic, limits, and uncountable sets. Methods, such as axiom, theorem and proof, are taught while discussing the mathematics rather than in abstract isolation. The book ends with short essays on further topics suitable for seminar-style presentation by small teams of students, either in class or in a mathematics club setting. These include: continuity, cryptography, groups, complex numbers, ordinal number, and generating functions.
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