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Experiencing Mathematics: What do we do, when we do mathematics?

Reuben Hersh
Publisher: 
American Mathematical Society
Publication Date: 
2013
Number of Pages: 
291
Format: 
Paperback
Price: 
39.00
ISBN: 
9780821894200
Category: 
Monograph
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  • Overture
  • The ideal mathematician (with Philip J. Davis)
  • Manifesto
  • Self-introduction
  • Mathematics has a front and a back
  • Chronology
  • References

Mostly for the right hand

  • Introduction to part 1
  • True facts about imaginary objects
  • Mathematical intuition (Poincaré, Polya, Dewey)
  • To establish new mathematics, we use our mental models and build on established mathematics
  • How mathematicians convince each other or "The kingdom of math is within you"
  • On the interdisciplinary study of mathematical practice, with a real live case study
  • Wings, not foundations!
  • Inner vision, outer truth
  • Mathematical practice as a scientific problem
  • Proving is convincing and explaining
  • Fresh breezes in the philosophy of mathematics
  • Definition of mathematics
  • Introduction to "18 unconventional essays on the nature of mathematics"

Mostly for the left hand

  • Introduction to part 2
  • Rhetoric and mathematics (with Philip J. Davis)
  • Math lingo vs. plain English: Double entendre
  • Independent thinking
  • The "origin" of geometry
  • The wedding
  • Mathematics and ethics
  • Ethics for mathematicians
  • Under-represented, then over-represented: A memoir of Jews in American mathematics
  • Paul Cohen and forcing in 1963

Selected book reviews

  • Introduction to part 3
  • Review of Not exactly ... in praise of vagueness by Kees van Deemter
  • Review of How mathematicians think by William Byers
  • Review of The mathematician's brain by David Ruelle
  • Review of Perfect rigor by Masha Gessen
  • Review of Letters to a young mathematician by Ian Stewart
  • Review of Number and numbers by Alain Badiou
  • An amusing elementary example
  • Annotated research bibliography
  • Curriculum vitae
  • List of articles

Dummy View - NOT TO BE DELETED