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Discovering Mathematics with Magma

  • Fester Einband
  • 404 Seiten
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Based on the ontology and semantics of algebra, the computer algebra system Magma enables users to rapidly formulate and perform c... Weiterlesen
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Beschreibung

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.

Autorentext
Professor John Cannon held the chair of Modern History at the University of Newcastle upon Tyne until 1992. He has edited several titles.

Inhalt

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

Produktinformationen

Titel: Discovering Mathematics with Magma
Untertitel: Reducing the Abstract to the Concrete
Editor:
EAN: 9783540376323
ISBN: 978-3-540-37632-3
Format: Fester Einband
Herausgeber: Springer Berlin Heidelberg
Genre: Sonstiges
Anzahl Seiten: 404
Gewicht: 765g
Größe: H235mm x B155mm x T27mm
Jahr: 2006
Auflage: 2006

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