Algebraic and Geometric Methods in Discrete Optimization

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Release : 2003
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Algebraic and Geometric Methods in Discrete Optimization - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Algebraic and Geometric Methods in Discrete Optimization write by Karen Aardal. This book was released on 2003. Algebraic and Geometric Methods in Discrete Optimization available in PDF, EPUB and Kindle.

Algebraic and Geometric Ideas in the Theory of Discrete Optimization

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Release : 2013-01-31
Genre : Mathematics
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Book Rating : 434/5 ( reviews)

Algebraic and Geometric Ideas in the Theory of Discrete Optimization - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Algebraic and Geometric Ideas in the Theory of Discrete Optimization write by Jesus A. De Loera. This book was released on 2013-01-31. Algebraic and Geometric Ideas in the Theory of Discrete Optimization available in PDF, EPUB and Kindle. In recent years, many new techniques have emerged in the mathematical theory of discrete optimization that have proven to be effective in solving a number of hard problems. This book presents these recent advances, particularly those that arise from algebraic geometry, commutative algebra, convex and discrete geometry, generating functions, and other tools normally considered outside of the standard curriculum in optimization. These new techniques, all of which are presented with minimal prerequisites, provide a transition from linear to nonlinear discrete optimization. This book can be used as a textbook for advanced undergraduates or first-year graduate students in mathematics, computer science or operations research. It is also appropriate for mathematicians, engineers, and scientists engaged in computation who wish to gain a deeper understanding of how and why algorithms work.

Algebraic and Geometric Methods in Discrete Mathematics

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Release : 2017-03-16
Genre : Mathematics
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Book Rating : 219/5 ( reviews)

Algebraic and Geometric Methods in Discrete Mathematics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Algebraic and Geometric Methods in Discrete Mathematics write by Heather A. Harrington. This book was released on 2017-03-16. Algebraic and Geometric Methods in Discrete Mathematics available in PDF, EPUB and Kindle. This volume contains the proceedings of the AMS Special Session on Algebraic and Geometric Methods in Applied Discrete Mathematics, held on January 11, 2015, in San Antonio, Texas. The papers present connections between techniques from “pure” mathematics and various applications amenable to the analysis of discrete models, encompassing applications of combinatorics, topology, algebra, geometry, optimization, and representation theory. Papers not only present novel results, but also survey the current state of knowledge of important topics in applied discrete mathematics. Particular highlights include: a new computational framework, based on geometric combinatorics, for structure prediction from RNA sequences; a new method for approximating the optimal solution of a sum of squares problem; a survey of recent Helly-type geometric theorems; applications of representation theory to voting theory and game theory; a study of fixed points of tensors; and exponential random graph models from the perspective of algebraic statistics with applications to networks. This volume was written for those trained in areas such as algebra, topology, geometry, and combinatorics who are interested in tackling problems in fields such as biology, the social sciences, data analysis, and optimization. It may be useful not only for experts, but also for students who wish to gain an applied or interdisciplinary perspective.

Polyhedral and Algebraic Methods in Computational Geometry

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Release : 2013-01-04
Genre : Mathematics
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Book Rating : 177/5 ( reviews)

Polyhedral and Algebraic Methods in Computational Geometry - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Polyhedral and Algebraic Methods in Computational Geometry write by Michael Joswig. This book was released on 2013-01-04. Polyhedral and Algebraic Methods in Computational Geometry available in PDF, EPUB and Kindle. Polyhedral and Algebraic Methods in Computational Geometry provides a thorough introduction into algorithmic geometry and its applications. It presents its primary topics from the viewpoints of discrete, convex and elementary algebraic geometry. The first part of the book studies classical problems and techniques that refer to polyhedral structures. The authors include a study on algorithms for computing convex hulls as well as the construction of Voronoi diagrams and Delone triangulations. The second part of the book develops the primary concepts of (non-linear) computational algebraic geometry. Here, the book looks at Gröbner bases and solving systems of polynomial equations. The theory is illustrated by applications in computer graphics, curve reconstruction and robotics. Throughout the book, interconnections between computational geometry and other disciplines (such as algebraic geometry, optimization and numerical mathematics) are established. Polyhedral and Algebraic Methods in Computational Geometry is directed towards advanced undergraduates in mathematics and computer science, as well as towards engineering students who are interested in the applications of computational geometry.

Algebraic and Geometric Methods in Statistics

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Release : 2010
Genre : Mathematics
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Book Rating : 193/5 ( reviews)

Algebraic and Geometric Methods in Statistics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Algebraic and Geometric Methods in Statistics write by Paolo Gibilisco. This book was released on 2010. Algebraic and Geometric Methods in Statistics available in PDF, EPUB and Kindle. An up-to-date account of algebraic statistics and information geometry, which also explores the emerging connections between these two disciplines.