Buch, Englisch, 364 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 1640 g
Reducing the Abstract to the Concrete
Buch, Englisch, 364 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 1640 g
Reihe: Algorithms and Computation in Mathematics
ISBN: 978-3-540-37632-3
Verlag: Springer
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.
Zielgruppe
Research
Autoren/Hrsg.
Fachgebiete
Weitere Infos & Material
Some computational experiments in number theory.- Applications of the class field theory of global fields.- Some ternary Diophantine equations of signature (n, n, 2).- Studying the Birch and Swinnerton-Dyer conjecture for modular abelian varieties using Magma.- Computing with the analytic Jacobian of a genus 2 curve.- Graded rings and special K3 surfaces.- Constructing the split octonions.- Support varieties for modules.- When is projectivity detected on subalgebras?.- Cohomology and group extensions in Magma.- Computing the primitive permutation groups of degree less than 1000.- Computer aided discovery of a fast algorithm for testing conjugacy in braid groups.- Searching for linear codes with large minimum distance.- Colouring planar graphs.- Appendix: The Magma language.
