Abstract Algebra and Famous Impossibilities
portes grátis
Abstract Algebra and Famous Impossibilities
Squaring the Circle, Doubling the Cube, Trisecting an Angle, and Solving Quintic Equations
Morris, Sidney A.; Jones, Arthur; Pearson, Kenneth R.
Springer International Publishing AG
11/2022
218
Dura
Inglês
9783031056970
15 a 20 dias
573
Descrição não disponível.
1. Algebraic Preliminaries.- 2. Algebraic Numbers and Their Polynomials.- 3. Extending Fields.- 4. Irreducible Polynomials.- 5. Straightedge and Compass Constructions.- 6. Proofs of the Geometric Impossibilities.- 7. Zeros of Polynomials of Degrees 2, 3, and 4.- 8. Quintic Equations 1: Symmetric Polynomials.- 9. Quintic Equations II: The Abel-Ruffini Theorem.- 10. Transcendence of e and ?.- 11. An Algebraic Postscript.- 12. Other Impossibilities: Regular Polygons and Integration in Finite Terms.- References.- Index.
Este título pertence ao(s) assunto(s) indicados(s). Para ver outros títulos clique no assunto desejado.
Field theory mathematics;Squaring the circle;Doubling the cube;Trisecting an angle;Solving quintic equations;Mathematical impossibilities;History of mathematical impossibilities;Straightedge and compass constructions;Abel-Ruffini theorem
1. Algebraic Preliminaries.- 2. Algebraic Numbers and Their Polynomials.- 3. Extending Fields.- 4. Irreducible Polynomials.- 5. Straightedge and Compass Constructions.- 6. Proofs of the Geometric Impossibilities.- 7. Zeros of Polynomials of Degrees 2, 3, and 4.- 8. Quintic Equations 1: Symmetric Polynomials.- 9. Quintic Equations II: The Abel-Ruffini Theorem.- 10. Transcendence of e and ?.- 11. An Algebraic Postscript.- 12. Other Impossibilities: Regular Polygons and Integration in Finite Terms.- References.- Index.
Este título pertence ao(s) assunto(s) indicados(s). Para ver outros títulos clique no assunto desejado.
