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9781470473600 Academic Inspection Copy

Combinatorial, Computational, and Applied Algebraic Geometry

A Tribute to Bernd Sturmfels
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This volume consists of surveys on topics to which Bernd Sturmfels has contributed over his mathematical career: invariant theory, Grobner bases, toric ideals and varieties, algebraic methods in discrete and convex optimization, hypergeometric systems, algebraic statistics, likelihood geometry, tropical geometry, chemical reaction networks, numerical methods in algebraic geometry, sums of squares, tropical geometry, tensors, and algebraic vision. Each article gives a gentle introduction to the topic. Many contributions summarize the state of the art in each subject. The volume is perfect for anyone who wishes an entry point to any one of these diverse topics.
Serkan Hosten, San Francisco State University, CA. Diane Maclagan, University of Warwick, Coventry, United Kingdom. Frank Sottile, Texas A&M University, College Station, TX.
Articles Bernd Sturmfels, Adventures in mentoring Gregor Kemper, Invariant theory: A third lease of life Aldo Conca, A universal tale of determinants and Grobner bases Serkan Hosten, An early history of toric ideals Jesus A. De Loera, The nonlinear algebra view of discrete mathematics Nobuki Takayama, Hypergeometric systems, statistics, and algorithms Seth Sullivant, Bernd's contributions to algebraic statistics Carlos Amendola and Jose Israel Rodriguez, A primer in likelihood geometry Michael Joswig, Developments in tropical convexity Elisenda Feliu and Anne Shiu, From chemical reaction networks to algebraic and polyhedral geometry-and back again Daniel J. Bates, Paul Breiding, Tianran Chen, Jonathan D. Hauenstein, Anton Leykin and Frank Sottile, Numerical nonlinear algebra Grigoriy Blekherman, Sums of squares, spectrahedra, and Bernd Kristian Ranestad, Algebraic degree in nonlinear models Mateusz Michalek, Tensors: From complex problems to real applications Joe Kileel and Kathlen Kohn, Snapshot of algebraic vision
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