Mathematics, Poetry and Beauty
Autor Ron Aharonien Limba Engleză Paperback – 23 feb 2015
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Specificații
ISBN-13: 9789814602945
ISBN-10: 9814602949
Pagini: 272
Dimensiuni: 177 x 244 x 16 mm
Greutate: 0.46 kg
Editura: WORLD SCIENTIFIC
Locul publicării:Singapore
ISBN-10: 9814602949
Pagini: 272
Dimensiuni: 177 x 244 x 16 mm
Greutate: 0.46 kg
Editura: WORLD SCIENTIFIC
Locul publicării:Singapore
Descriere
What does mathematics have to do with poetry? Seemingly, nothing. Mathematics deals with abstractions while poetry with emotions.
Cuprins
Order:
The Curious Case of the Ants on the Pole
Hidden Order
To Discover or to Invent
Order and Beauty
Mathematical Harmonies
Why √2 is Not a Rational Number
The Real Numbers
The Miracle of Order
Simple Conjectures, Complex Proofs
Independent Events
How Mathematicians and Poets Think:
Poetic Image, Mathematical Image
The Power of the Oblique
Compression
Mathematical Ping-Pong
The Book in Heaven
Poetical Ping-Pong
Laws of Conservation
An Idea from Somewhere Else
Three Types of Mathematics
Topology
Matchmaking
Imagination
A Magic Number
Reality or Imagination
Unexpected Combinations
What is Mathematics?
Deep Tautologies
Symmetry
Impossibility
Infinitely Large
Cantor's Story
The Most Beautiful Proof?
Paradoxes and Oxymorons
Self-Reference and Gödel's Theorem
Halfway to Infinity: Large Numbers
Infinitely Small
Infinitely Many Numbers Having a Finite Sum
Twists
Two Levels of Perception:
Knowing without Knowing
Content and Husk
Change
Estrangement
An Endless Encounter
Appendix A: Mathematical Fields
Appendix B: Sets of Numbers
Appendix C: Poetical Mechanisms Mentioned in the Book