History of Mathematical Impossibility
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History of Mathematical Impossibility
Luetzen, Jesper
Oxford University Press
01/2023
304
Dura
Inglês
9780192867391
15 a 20 dias
662
Descrição não disponível.
1: Introduction
2: Prehistory: Recorded and Non-Recorded Impossibilities
3: The First Impossibility Proof: Incommensurability
4: The Classical Problems in Antiquity: Constructions and Positive Theorems
5: The Classical Problems: The Impossibility Question
6: Diorisms and Conclusions about the Greeks and the Medieval Arabs
7: Cube Duplication and Angle Trisection in the 17th and 18th Centuries
8: Circle Quadrature in the 17th Century
9: Circle Quadrature in the 18th Century
10: Impossible Equations Made Possible: The Complex Numbers
11: Euler and the Bridges of Koenigsberg
12: The Insolvability of the Quintic by Radicals
13: Constructions with Ruler and Compass: The Final Impossibility Proofs
14: Impossible Integrals
15: Impossibility of Proving the Parallel Postulate
16: Hilbert and Impossible Problems
17: Hilbert and Goedel on Axiomatization and Incompleteness
18: Fermat's Last Theorem
19: Impossibility in Physics
20: Arrow's Impossibility Theorem
21: Conclusion
2: Prehistory: Recorded and Non-Recorded Impossibilities
3: The First Impossibility Proof: Incommensurability
4: The Classical Problems in Antiquity: Constructions and Positive Theorems
5: The Classical Problems: The Impossibility Question
6: Diorisms and Conclusions about the Greeks and the Medieval Arabs
7: Cube Duplication and Angle Trisection in the 17th and 18th Centuries
8: Circle Quadrature in the 17th Century
9: Circle Quadrature in the 18th Century
10: Impossible Equations Made Possible: The Complex Numbers
11: Euler and the Bridges of Koenigsberg
12: The Insolvability of the Quintic by Radicals
13: Constructions with Ruler and Compass: The Final Impossibility Proofs
14: Impossible Integrals
15: Impossibility of Proving the Parallel Postulate
16: Hilbert and Impossible Problems
17: Hilbert and Goedel on Axiomatization and Incompleteness
18: Fermat's Last Theorem
19: Impossibility in Physics
20: Arrow's Impossibility Theorem
21: Conclusion
Este título pertence ao(s) assunto(s) indicados(s). Para ver outros títulos clique no assunto desejado.
1: Introduction
2: Prehistory: Recorded and Non-Recorded Impossibilities
3: The First Impossibility Proof: Incommensurability
4: The Classical Problems in Antiquity: Constructions and Positive Theorems
5: The Classical Problems: The Impossibility Question
6: Diorisms and Conclusions about the Greeks and the Medieval Arabs
7: Cube Duplication and Angle Trisection in the 17th and 18th Centuries
8: Circle Quadrature in the 17th Century
9: Circle Quadrature in the 18th Century
10: Impossible Equations Made Possible: The Complex Numbers
11: Euler and the Bridges of Koenigsberg
12: The Insolvability of the Quintic by Radicals
13: Constructions with Ruler and Compass: The Final Impossibility Proofs
14: Impossible Integrals
15: Impossibility of Proving the Parallel Postulate
16: Hilbert and Impossible Problems
17: Hilbert and Goedel on Axiomatization and Incompleteness
18: Fermat's Last Theorem
19: Impossibility in Physics
20: Arrow's Impossibility Theorem
21: Conclusion
2: Prehistory: Recorded and Non-Recorded Impossibilities
3: The First Impossibility Proof: Incommensurability
4: The Classical Problems in Antiquity: Constructions and Positive Theorems
5: The Classical Problems: The Impossibility Question
6: Diorisms and Conclusions about the Greeks and the Medieval Arabs
7: Cube Duplication and Angle Trisection in the 17th and 18th Centuries
8: Circle Quadrature in the 17th Century
9: Circle Quadrature in the 18th Century
10: Impossible Equations Made Possible: The Complex Numbers
11: Euler and the Bridges of Koenigsberg
12: The Insolvability of the Quintic by Radicals
13: Constructions with Ruler and Compass: The Final Impossibility Proofs
14: Impossible Integrals
15: Impossibility of Proving the Parallel Postulate
16: Hilbert and Impossible Problems
17: Hilbert and Goedel on Axiomatization and Incompleteness
18: Fermat's Last Theorem
19: Impossibility in Physics
20: Arrow's Impossibility Theorem
21: Conclusion
Este título pertence ao(s) assunto(s) indicados(s). Para ver outros títulos clique no assunto desejado.
