Algorithmic and Experimental Methods in Algebra Geometry and Number Theory 1st edition by Gebhard Böckle, Wolfram Decker, Gunter Malle 3319705668 9783319705668

Algorithmic and Experimental Methods in Algebra Geometry and Number Theory 1st edition by Gebhard Böckle, Wolfram Decker, Gunter Malle – Ebook PDF Instant Download/DeliveryISBN:  3319705668, 9783319705668 

Full download Algorithmic and Experimental Methods in Algebra Geometry and Number Theory 1st edition after payment.

Product details:

ISBN-10 :  3319705668 

ISBN-13 :  9783319705668

Author:  Gebhard Böckle, Wolfram Decker, Gunter Malle 

This book presents state-of-the-art research and survey articles that highlight work done within the Priority Program SPP 1489 “Algorithmic and Experimental Methods in Algebra, Geometry and Number Theory”, which was established and generously supported by the German Research Foundation (DFG) from 2010 to 2016. The goal of the program was to substantially advance algorithmic and experimental methods in the aforementioned disciplines, to combine the different methods where necessary, and to apply them to central questions in theory and practice. Of particular concern was the further development of freely available open source computer algebra systems and their interaction in order to create powerful new computational tools that transcend the boundaries of the individual disciplines involved.  The book covers a broad range of topics addressing the design and theoretical foundations, implementation and the successful application of algebraic algorithms in order to solve mathematical research problems. It offers a valuable resource for all researchers, from graduate students through established experts, who are interested in the computational aspects of algebra, geometry, and/or number theory.

Algorithmic and Experimental Methods in Algebra Geometry and Number Theory 1st table of contents:

1. Algorithmic Aspects of Units in Group Rings
2. A Constructive Approach to the Module of Twisted Global Sections on Relative Projective Spaces
3. Local to Global Algorithms for the Gorenstein Adjoint Ideal of a Curve
4. Picard Curves with Small Conductor
5. Normaliz 2013–2016
6. Integral Frobenius for Abelian Varieties with Real Multiplication
7. Monodromy of the Multiplicative and the Additive Convolution
8. Constructing Groups of ‘Small’ Order: Recent Results and Open Problems
9. Classifying Nilpotent Associative Algebras: Small Coclass and Finite Fields
10. Desingularization of Arithmetic Surfaces: Algorithmic Aspects
11. Moduli Spaces of Curves in Tropical Varieties
12. Tropical Moduli Spaces of Stable Maps to a Curve
13. Invariant Bilinear Forms on W-Graph Representations and Linear Algebra Over Integral Domains
14. Tropical Computations in polymake
15. Focal Schemes to Families of Secant Spaces to Canonical Curves
16. Inductive and Recursive Freeness of Localizations of Multiarrangements
17. Toric Ext and Tor in polymake and Singular: The Two-Dimensional Case and Beyond
18. The Differential Dimension Polynomial for Characterizable Differential Ideals
19. Factorization of -Homogeneous Polynomials in the First q-Weyl Algebra
20. Complexity of Membership Problems of Different Types of Polynomial Ideals
21. Localizations of Inductively Factored Arrangements
22. One Class Genera of Lattice Chains Over Number Fields
23. polyDB: A Database for Polytopes and Related Objects
24. Construction of Neron Desingularization for Two Dimensional Rings
25. A Framework for Computing Zeta Functions of Groups, Algebras, and Modules
26. On Decomposition Numbers of Diagram Algebras
27. Koblitz’s Conjecture for Abelian Varieties
28. Chabauty Without the Mordell-Weil Group
29. An Explicit Theory of Heights for Hyperelliptic Jacobians of Genus Three
30. Some Recent Developments in Spectrahedral Computation
31. Topics on Modular Galois Representations Modulo Prime Powers

People also search for Algorithmic and Experimental Methods in Algebra Geometry and Number Theory 1st:

 
algorithmic methods
 
experimental algorithmics
 
algorithmic trading methods
 
algorithmic mechanism design
 
an algorithmic perspective on imitation learning

Tags: Algorithmic, Experimental Methods, Algebra Geometry, Number Theory, Gebhard Böckle, Wolfram Decker, Gunter Malle