Algebraic Curves and Finite Fields by Alina Ostafe
Algebra and number theory have always been counted among the most beautiful and fundamental mathematical areas with deep proofs and elegant results. However, for a long time they were not considered of any substantial importance for real-life applications. This has dramatically changed with the appearance of new topics such as modern cryptography, coding theory, and wireless communication. Nowadays we find applications of algebra and number theory frequently in our daily life. We mention security and error detection for internet banking, check digit systems and the bar code, GPS and radar systems, pricing options at a stock market, and noise suppression on mobile phones as most common examples. This book collects the results of the workshops Applications of algebraic curves and Applications of finite fields of the RICAM Special Semester 2013. These workshops brought together the most prominent researchers in the area of finite fields and their applications around the world. They address old and new problems on curves and other aspects of finite fields, with emphasis on their diverse applications to many areas of pure and applied mathematics.-
Lectures on Advanced Computational Methods in Mechanics
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Grobner Bases in Control Theory and Signal Processing
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Topological Optimization and Optimal Transport
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Variational Methods
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Optimization and Control for Partial Differential Equations
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Grobner Bases in Symbolic Analysis
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Direct and Inverse Problems in Wave Propagation and Applications
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Multiphysics Phase-Field Fracture
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Fluid-Structure Interaction
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Multivariate Algorithms and Information-Based Complexity
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Hamilton-Jacobi-Bellman Equations
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Simulation of Flow in Porous Media
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Large Scale Inverse Problems
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Finite Fields and Their Applications
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Regularization Methods in Banach Spaces
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Combinatorics and Finite Fields
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Discrepancy Theory
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Space-Time Methods
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The Radon Transform
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Maxwells Equations
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Tensor Numerical Methods in Scientific Computing
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Uniform Distribution and Quasi-Monte Carlo Methods
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Robust Static Super-Replication of Barrier Options
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Theoretical Foundations and Numerical Methods for Sparse Recovery
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Robust Algebraic Multilevel Methods and Algorithms
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A Posteriori Estimates for Partial Differential Equations
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Advanced Financial Modelling
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Iterative Regularization Methods for Nonlinear Ill-Posed Problems
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Inverse Problems on Large Scales
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Microlocal Analysis and Inverse Problems in Tomography and Geometry
Harald Niederreiter, JKU Linz, Austria; Alina Ostafe, Macquarie University, NSW, Australia; Daniel Panario, Carleton University, Ottawa, Ontario, Canada; Arne Winterhof, JKU Linz, Austria.
| SKU | Unavailable |
| ISBN 13 | 9783110317886 |
| ISBN 10 | 3110317885 |
| Title | Algebraic Curves and Finite Fields |
| Author | Jeffrey D Achter |
| Series | Radon Series On Computational And Applied Mathematics |
| Condition | Unavailable |
| Binding Type | Hardback |
| Publisher | De Gruyter |
| Year published | 2014-06-30 |
| Number of pages | 251 |
| Cover note | Book picture is for illustrative purposes only, actual binding, cover or edition may vary. |
| Note | Unavailable |