Wieb Bosma,
John Cannon
Springer Berlin Heidelberg
2006e druk, 2006
9783540376323
Discovering Mathematics with Magma
Reducing the Abstract to the Concrete
Specificaties
Gebonden, 364 blz.
|
Engels
Springer Berlin Heidelberg |
2006e druk, 2006
ISBN13: 9783540376323
Rubricering
Onderdeel van serie
Algorithms and Computation in Mathematics
Verwachte levertijd ongeveer 9 werkdagen
Samenvatting
Based on the ontology and semantics of algebra, the computer algebra system Magma enables users to rapidly formulate and perform calculations in abstract parts of mathematics. Edited by the principal designers of the program, this book explores Magma. Coverage ranges from number theory and algebraic geometry, through representation theory and group theory to discrete mathematics and graph theory. Includes case studies describing computations underpinning new theoretical results.
Specificaties
ISBN13:9783540376323
Taal:Engels
Bindwijze:gebonden
Aantal pagina's:364
Uitgever:Springer Berlin Heidelberg
Druk:2006
Hoofdrubriek:Wiskunde / Statistiek, Computer en informatica
Inhoudsopgave
Preface.- Magma: the project.- About this volume.- How to read the Magma code?- W.Bosma: Some computational experiments in number theory.- C.Fieker: Applications of the class field theory of global fields.- N.Bruin: Some ternary Diophantine equations of signature (n,n,2).- W.Stein: Studying the Birch and Swinnerton-Dyer conjecture for modular abelian varieties using Magma.- P.B.van Wamelen: Computing with the analytic Jacobian of a genus 2 curve.- G.Brown: Graded rings and special K3 surfaces.- D.E.Taylor: Constructing the split octonions.- J.F.Carlson: Support varieties for modules.- J.F.Carlson: When is projectivity detected on subalgebras?- D.F.Holt: Cohomology and group extensions in Magma.- C.M.Roney-Dougal, W.R.Unger: Computing the primitive permuation groups of degree less than 1000.- V.Gebhardt: Computer aided discovery of a fast algorithm for testing conjugacy in braid groups.- M.Grassl: Searching for linear codes with large minimum distance.- P.Lieby: Colouring planar graphs.- G.Bailey: Appendix: The Magma Language.- Index