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Bernd Sturmfels has written 19 work(s)
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Product Description: Tropical geometry is a combinatorial shadow of algebraic geometry, offering new polyhedral tools to compute invariants of algebraic varieties. It is based on tropical algebra, where the sum of two numbers is their minimum and the product is their sum...read more
Hardcover:
9780821851982 | Amer Mathematical Society, April 17, 2015, cover price $79.00 | About this edition: Tropical geometry is a combinatorial shadow of algebraic geometry, offering new polyhedral tools to compute invariants of algebraic varieties.
Paperback:
9780425110430, titled "How to Stop the One You Love from Drinking" | Reprint edition (Berkley Pub Group, December 1, 1988), cover price $4.95 | also contains How to Stop the One You Love from Drinking | About this edition: Based on the author's own experiences as a recovering alcoholic, this book provides a detailed program of intervention for the family and friends of problem drinkers
Product Description: Combinatorics and Algebraic Geometry have enjoyed a fruitful interplay since the nineteenth century. Classical interactions include invariant theory, theta functions and enumerative geometry. The aim of this volume is to introduce recent developments in combinatorial algebraic geometry and to approach algebraic geometry with a view towards applications, such as tensor calculus and algebraic statistics...read more
Paperback:
9783319048697 | Springer Verlag, June 3, 2014, cover price $59.99 | About this edition: Combinatorics and Algebraic Geometry have enjoyed a fruitful interplay since the nineteenth century.
Product Description: This book presents algorithmic tools for algebraic geometry, with experimental applications. It also introduces Macaulay 2, a computer algebra system supporting research in algebraic geometry, commutative algebra, and their applications...read more
Paperback:
9783642075926 | Springer Verlag, September 22, 2011, cover price $89.95 | About this edition: This book presents algorithmic tools for algebraic geometry, with experimental applications.
Product Description: This book is based on lectures by six internationally known experts presented at the 2002 MSRI introductory workshop on commutative algebra. They focus on the interaction of commutative algebra with other areas of mathematics, including algebraic geometry, group cohomology and representation theory, and combinatorics, with all necessary background provided...read more
Hardcover:
9780521831956 | Cambridge Univ Pr, December 13, 2004, cover price $119.99 | About this edition: This book is based on lectures by six internationally known experts presented at the 2002 MSRI introductory workshop on commutative algebra.
Paperback:
9783764389048 | Birkhauser, March 6, 2009, cover price $39.95
Paperback:
9783211774168 | 2 edition (Springer Verlag, June 25, 2008), cover price $109.00
9780387824451 | Springer Verlag, November 1, 1993, cover price $64.95
Product Description: Geometric combinatorics describes a wide area of mathematics that is primarily the study of geometric objects and their combinatorial structure. Perhaps the most familiar examples are polytopes and simplicial complexes, but the subject is much broader...read more
Hardcover:
9780821837368 | Amer Mathematical Society, November 28, 2007, cover price $110.00 | About this edition: Geometric combinatorics describes a wide area of mathematics that is primarily the study of geometric objects and their combinatorial structure.
Product Description: First textbook-level account of basic examples and techniques in this area. Suitable for self-study by a reader who knows a little commutative algebra and algebraic geometry already. David Eisenbud is a well-known mathematician and current president of the American Mathematical Society, as well as a successful Springer author...read more
Paperback:
9780387222325 | Springer Verlag, November 30, 2005, cover price $49.99 | About this edition: First textbook-level account of basic examples and techniques in this area.
Hardcover:
9780521857000 | Cambridge Univ Pr, August 31, 2005, cover price $94.99
Hardcover:
9780387223568 | Springer Verlag, January 31, 2005, cover price $99.00
Paperback:
9780387237077 | Springer Verlag, June 30, 2005, cover price $59.95 | About this edition: Recent developments are covered Contains over 100 figures and 250 exercises Includes complete proofs
Hardcover:
9780387232294 | Springer Verlag, April 30, 2005, cover price $79.99
Paperback:
9780821832516 | Amer Mathematical Society, October 1, 2002, cover price $40.00
(view table of contents)
Paperback:
9780521777506 | 2 edition (Cambridge Univ Pr, February 1, 2000), cover price $129.99
Product Description: The theory of Gröbner bases is a main tool for dealing with rings of differential operators. This book reexamines the concept of Gröbner bases from the point of view of geometric deformations. The algorithmic methods introduced in this book are particularly useful for studying the systems of multidimensional hypergeometric PDE's introduced by Gelfand, Kapranov, and Zelevinsky...read more (view table of contents, read Amazon.com's description)
Hardcover:
9783540660651 | Springer Verlag, December 1, 1999, cover price $89.95 | About this edition: The theory of Gröbner bases is a main tool for dealing with rings of differential operators.
Hardcover:
9780821807507 | Amer Mathematical Society, June 1, 1998, cover price $46.00
Product Description: This book is about the interplay of computational commutative algebra and the theory of convex polytopes. It centers around a special class of ideals in a polynomial ring: the class of toric ideals. They are characterized as those prime ideals that are generated by monomial differences or as the defining ideals of toric varieties (not necessarily normal)...read more
Paperback:
9780821804872 | Amer Mathematical Society, December 1, 1995, cover price $38.00 | About this edition: This book is about the interplay of computational commutative algebra and the theory of convex polytopes.
Product Description: Oriented matroids are a very natural mathematical concept which presents itself in many different guises, and which has connections and applications to many different areas. These include discrete and computational geometry, combinatorics, convexity, topology, algebraic geometry, operations research, computer science and theoretical chemistry...read more (view table of contents, read Amazon.com's description)
Hardcover:
9780521418362 | Cambridge Univ Pr, March 1, 1993, cover price $146.99 | About this edition: Oriented matroids are a very natural mathematical concept which presents itself in many different guises, and which has connections and applications to many different areas.
Product Description: This volume, published jointly with the Association for Computing Machinery, comprises a collection of research articles celebrating the occasion of Victor Klee's sixty-fifth birthday in September 1990. During his long career, Klee has made contributions to a wide variety of areas, such as discrete and computational geometry, convexity, combinatorics, graph theory, functional analysis, mathematical programming and optimization, and theoretical computer science...read more
Hardcover:
9780821865934 | Amer Mathematical Society, April 1, 1991, cover price $152.00 | About this edition: This volume, published jointly with the Association for Computing Machinery, comprises a collection of research articles celebrating the occasion of Victor Klee's sixty-fifth birthday in September 1990.
Computational synthetic geometry deals with methods for realizing abstract geometric objects in concrete vector spaces. This research monograph considers a large class of problems from convexity and discrete geometry including constructing convex polytopes from simplicial complexes, vector geometries from incidence structures and hyperplane arrangements from oriented matroids. It turns out that algorithms for these constructions exist if and only if arbitrary polynomial equations are decidable with respect to the underlying field. Besides such complexity theorems a variety of symbolic algorithms are discussed, and the methods are applied to obtain new mathematical results on convex polytopes, projective configurations and the combinatorics of Grassmann varieties. Finally algebraic varieties characterizing matroids and oriented matroids are introduced providing a new basis for applying computer algebra methods in this field. The necessary background knowledge is reviewed briefly. The text is accessible to students with graduate level background in mathematics, and will serve professional geometers and computer scientists as an introduction and motivation for further research.
Paperback:
9780387504780 | Springer Verlag, September 1, 1989, cover price $32.95
9783540504788 | Springer Verlag, July 12, 1989, cover price $39.95 | About this edition: Computational synthetic geometry deals with methods for realizing abstract geometric objects in concrete vector spaces.
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