Mathematics and logic : retrospect and prospects

by Mark Kac

Other authorsStanislaw M. Ulam (Author)
Paperback, 1971

Status

Available

Call number

510

Library's review

Indeholder "Note on the Abridged Edition", "Introduction", "1. Examples", " 1. The Infinity of Primes", " 2. Irrationality of sqrt(2)", " 3. Approximation by Rational Numbers", " 4. Transcendental Numbers: Cantor's Argument", " 5. More Proofs of Impossibility", " 5a. Sperner's Lemma", " 6. The Art
Show More
and Science of Counting", " 7. Digression on the Number System and on Functions", " 8. Elementary Probability and Independence", " 9. Measure", " 10. Probability Revisited", " 11. Groups and Transformations", " 11. Homology Groups", " 12. Vectors, Matrices, and Geometry", " 13. Special Theory of Relativity as an Example of the Geometric View in Physics", " 14. Transformations, Flows, and Ergodicity", " 15. More on Iteration and Composition of Transformations", " 16. Proving the Obvious", "2. Themes, Trends, and Syntheses", "3. Relations to Other Disciplines", "4. Summary and Outlook", "Index".

Sjov bog, for en stor del af den er formet som en slags dialog mellem de to forfattere, hvor de går fra emne til emne, efterhånden som det falder dem ind. Et hundrede-sider langt kapitel med titlen "Examples" og uden en indholdsfortegnelse til underopdelingen (hvor der endda er to afsnit med nr. 11) er nok ikke den smarteste måde at tiltrække læsere på. Denne billigbogsudgave er også dårligt limet, så det er lidt på trods at man læser den.

Side 168 omtaler et spil, som Paul og Tatiana Ehrenfest foreslog i 1907. Tag to kasser og hæld nummererede kugler i, træk en tilfældig kugle og flyt den over i den anden kasse. Bliv ved med at trække kugler. Efter en tid er der ca lige mange kugler i de to kasser. Spillet er en simpel model for termodynamik og er pærelet at programmere og køre på en computer nu om dage.
Show Less

Publication

London : Penguin, 1971.

Description

Fascinating study considers the origins and nature of mathematics, its development and role in the history of scientific thinking, impact of high-speed computers, 20th-century changes in the foundations of mathematics and mathematical logic, mathematization of science and technology, much more. Compelling reading for anyone interested in the evolution of mathematical thought. Includes 34 illustrations. 1968 edition.

User reviews

LibraryThing member name99
Not a bad survey of what math has done in the past and where it appears to be headed (as of the mid-1960s).
I wish it had had a little more coverage of functional analysis, but OK as such books go.

Language

Original language

English

Physical description

204 p.; 18.1 cm

ISBN

0140803874 / 9780140803877

Local notes

Omslag: George Hardie
Omslaget viser nogle cirkler og andre matematiske figurer arrangeret så de ligner et ansigt
Indskannet omslag - N650U - 150 dpi

Pages

204

Library's rating

Rating

½ (6 ratings; 3.8)

DDC/MDS

510
Page: 0.3967 seconds