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| Softcover ISBN: | 978-1-4704-7360-0 |
| eBook: ISBN: | 978-1-4704-8205-3 |
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| Sale Price: | $165.60 $124.50 |
| Softcover ISBN: | 978-1-4704-7360-0 |
| Product Code: | PSPUM/111 |
| List Price: | $139.00 |
| MAA Member Price: | $125.10 |
| AMS Member Price: | $111.20 |
| Sale Price: | $83.40 |
| eBook ISBN: | 978-1-4704-8205-3 |
| Product Code: | PSPUM/111.E |
| List Price: | $137.00 |
| MAA Member Price: | $123.30 |
| AMS Member Price: | $109.60 |
| Sale Price: | $82.20 |
| Softcover ISBN: | 978-1-4704-7360-0 |
| eBook ISBN: | 978-1-4704-8205-3 |
| Product Code: | PSPUM/111.B |
| List Price: | $276.00 $207.50 |
| MAA Member Price: | $248.40 $186.75 |
| AMS Member Price: | $220.80 $166.00 |
| Sale Price: | $165.60 $124.50 |
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Book DetailsProceedings of Symposia in Pure MathematicsVolume: 111; 2025; 364 ppMSC: Primary 12; 13; 14; 52; 62; 65
This volume consists of surveys on topics to which Bernd Sturmfels has contributed over his mathematical career: invariant theory, Gröbner 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.
ReadershipGraduate students and research mathematicians interested in combinatorial, computational, and applied algebraic geometry.
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Table of Contents
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Articles
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Bernd Sturmfels — Adventures in mentoring
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Gregor Kemper — Invariant theory: A third lease of life
-
Aldo Conca — A universal tale of determinants and Gröbner bases
-
Serkan Hoşten — An early history of toric ideals
-
Jesús A. De Loera — The nonlinear algebra view of discrete mathematics
-
Nobuki Takayama — Hypergeometric systems, statistics, and algorithms
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Seth Sullivant — Bernd’s contributions to algebraic statistics
-
Carlos Améndola 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
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Daniel J. Bates, Paul Breiding, Tianran Chen, Jonathan D. Hauenstein, Anton Leykin and Frank Sottile — Numerical nonlinear algebra
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Grigoriy Blekherman — Sums of squares, spectrahedra, and Bernd
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Kristian Ranestad — Algebraic degree in nonlinear models
-
Mateusz Michałek — Tensors: From complex problems to real applications
-
Joe Kileel and Kathlén Kohn — Snapshot of algebraic vision
-
-
Additional Material
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RequestsReview Copy – for publishers of book reviewsAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
- Additional Material
- Requests
This volume consists of surveys on topics to which Bernd Sturmfels has contributed over his mathematical career: invariant theory, Gröbner 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.
Graduate students and research mathematicians interested in combinatorial, computational, and applied algebraic geometry.
-
Articles
-
Bernd Sturmfels — Adventures in mentoring
-
Gregor Kemper — Invariant theory: A third lease of life
-
Aldo Conca — A universal tale of determinants and Gröbner bases
-
Serkan Hoşten — An early history of toric ideals
-
Jesús 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 Améndola 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 Michałek — Tensors: From complex problems to real applications
-
Joe Kileel and Kathlén Kohn — Snapshot of algebraic vision
