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Paperback. Zustand: New. 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. This turns polynomials into piecewise-linear functions, and their zero sets into polyhedral complexes. These tropical varieties retain a surprising amount of information about their classical counterparts.Tropical geometry is a young subject that has undergone a rapid development since the beginning of the 21st century. While establishing itself as an area in its own right, deep connections have been made to many branches of pure and applied mathematics.This book offers a self-contained introduction to tropical geometry, suitable as a course text for beginning graduate students. Proofs are provided for the main results, such as the Fundamental Theorem and the Structure Theorem. Numerous examples and explicit computations illustrate the main concepts. Each of the six chapters concludes with problems that will help the readers to practice their tropical skills, and to gain access to the research literature.…

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Paperback. Zustand: New. 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. This turns polynomials into piecewise-linear functions, and their zero sets into polyhedral complexes. These tropical varieties retain a surprising amount of information about their classical counterparts.Tropical geometry is a young subject that has undergone a rapid development since the beginning of the 21st century. While establishing itself as an area in its own right, deep connections have been made to many branches of pure and applied mathematics.This book offers a self-contained introduction to tropical geometry, suitable as a course text for beginning graduate students. Proofs are provided for the main results, such as the Fundamental Theorem and the Structure Theorem. Numerous examples and explicit computations illustrate the main concepts. Each of the six chapters concludes with problems that will help the readers to practice their tropical skills, and to gain access to the research literature.…

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Taschenbuch. Zustand: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 354 pp. Englisch.…

Taschenbuch. Zustand: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - 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.…