Many of the most famous results in mathematics are impossibility theorems stating that something cannot be done. Good examples include the quadrature of the circle by ruler and compass, the solution of the quintic equation by radicals, Fermat's last theorem, and the impossibility of proving the parallel postulate from the other axioms of Euclidean geometry. This book tells the history of these and many other impossibility theorems starting with the ancient Greek
proof of the incommensurability of the side and the diagonal in a square.
Lutzen argues that the role of impossibility results have changed over time. At first, they were considered rather unimportant meta-statements concerning mathematics but gradually they obtained the role of important proper mathematical results that can and should be proved. While mathematical impossibility proofs are more rigorous than impossibility arguments in other areas of life, mathematicians have employed great ingenuity to circumvent impossibilities by changing the rules of the
game. For example, complex numbers were invented in order to make impossible equations solvable. In this way, impossibilities have been a strong creative force in the development of mathematics, mathematical physics, and social science.
- ISBN:
- 9780192867391
- 9780192867391
-
Category:
- History of mathematics
- Format:
- Hardback
- Publication Date:
-
26-04-2023
- Publisher:
- Oxford University Press
- Country of origin:
- United Kingdom
- Pages:
- 304
- Dimensions (mm):
- 240x163x20mm
- Weight:
- 0.66kg
This title is in stock with our overseas supplier and should be sent from our Sydney warehouse within 3 - 4 weeks of you placing an order.
Once received into our warehouse we will despatch it to you with a Shipping Notification which includes online tracking.
Please check the estimated delivery times below for your region, for after your order is despatched from our warehouse:
ACT Metro 2 working days
NSW Metro 2 working days
NSW Rural 2-3 working days
NSW Remote 2-5 working days
NT Metro 3-6 working days
NT Remote 4-10 working days
QLD Metro 2-4 working days
QLD Rural 2-5 working days
QLD Remote 2-7 working days
SA Metro 2-5 working days
SA Rural 3-6 working days
SA Remote 3-7 working days
TAS Metro 3-6 working days
TAS Rural 3-6 working days
VIC Metro 2-3 working days
VIC Rural 2-4 working days
VIC Remote 2-5 working days
WA Metro 3-6 working days
WA Rural 4-8 working days
WA Remote 4-12 working days
Share This Book: