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Combinatorial, Computational, and Applied Algebraic Geometry -

Combinatorial, Computational, and Applied Algebraic Geometry

A Tribute to Bernd Sturmfels
Buch | Softcover
354 Seiten
2025
American Mathematical Society (Verlag)
978-1-4704-7360-0 (ISBN)
CHF 225,45 inkl. MwSt
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Engage with a collection of surveys that traverse rich mathematical landscapes from invariant theory, Grobner bases, and toric ideals to discrete and convex optimization, hypergeometric systems, algebraic statistics, and tropical geometry. Each article offers an inviting introduction and modern overview of key topics.
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

Erscheinungsdatum
Reihe/Serie Proceedings of Symposia in Pure Mathematics
Verlagsort Providence
Sprache englisch
Maße 178 x 254 mm
Themenwelt Mathematik / Informatik Mathematik Algebra
Mathematik / Informatik Mathematik Geometrie / Topologie
ISBN-10 1-4704-7360-7 / 1470473607
ISBN-13 978-1-4704-7360-0 / 9781470473600
Zustand Neuware
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