Produktdetaljer
ISBN
9781108456234
Publisert
2019-06-06
Utgiver
Vendor
Cambridge University Press
Vekt
100 gr
Høyde
230 mm
Bredde
150 mm
Dybde
5 mm
Aldersnivå
P, 06
Språk
Product language
Engelsk
Format
Product format
Heftet
Antall sider
75
Forfatter
This Element aims to present an outline of mathematics and its history, with particular emphasis on events that shook up its philosophy. It ranges from the discovery of irrational numbers in ancient Greece to the nineteenth- and twentieth-century discoveries on the nature of infinity and proof. Recurring themes are intuition and logic, meaning and existence, and the discrete and the continuous. These themes have evolved under the influence of new mathematical discoveries and the story of their evolution is, to a large extent, the story of philosophy of mathematics.
Les mer
Preface; 1. Irrational numbers and geometry; 2. Infinity in Greek mathematics; 3. Imaginary numbers; 4. Calculus and infinitesimals; 5. Continuous functions and real numbers; 6. From non-Euclidean geometry to arithmetic; 7. Set theory and its paradoxes; 8. Formal systems; 9. Unsolvability and incompleteness.
Les mer
Presents the outline of mathematics and its history, with particular emphasis on events that shook up its philosophy.
Produktdetaljer
ISBN
9781108456234
Publisert
2019-06-06
Utgiver
Vendor
Cambridge University Press
Vekt
100 gr
Høyde
230 mm
Bredde
150 mm
Dybde
5 mm
Aldersnivå
P, 06
Språk
Product language
Engelsk
Format
Product format
Heftet
Antall sider
75
Forfatter