<p>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.</p>

Algebraic and Geometric Ideas in the Theory of Discrete Optimization (MPS-SIAM Series on Optimization, Series Number 14)

Science & Math

De Loera, Jesús

Hemmecke, Raymond

Köppe, Matthias

Mathematics

Society for Industrial and Applied Mathematics

<i>Triangulations </i>presents the first comprehensive treatment of the theory of secondary polytopes and related topics. The text discusses the geometric structure behind the algorithms and shows new emerging applications, including hundreds of illustrations, examples, and exercises.

Triangulations: Structures for Algorithms and Applications (Algorithms and Computation in Mathematics, Vol. 25)

Computers & Technology

Rambau, Joerg

Santos, Francisco

Computer Science

Springer

Triangulations: Structures for Algorithms and Applications (Algorithms and Computation in Mathematics, 25)

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