Introduction to Tropical Geometry (Graduate Studies in Mathematics)

 
9780821851982: Introduction to Tropical Geometry (Graduate Studies in Mathematics)
Críticas:

oThis wonderful book will appeal to students and researchers of all stripes: it begins at an undergraduate level and ends with deep connections to toric varieties, compactifications, and degenerations. In between, the authors provide the first complete proofs in book form of many fundamental results in the subject. The pages are sprinkled with illuminating examples, applications, and exercises, and the writing is lucid and meticulous throughout. It is that rare kind of book which will be used equally as an introductory text by students and as a reference for expertso. - Matt Baker, Georgia Institute of Technology

Reseña del editor:

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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Maclagan, Diane; Sturmfels, Bernd
ISBN 10: 0821851985 ISBN 13: 9780821851982
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Descripción Estado de conservación: New. Depending on your location, this item may ship from the US or UK. Nº de ref. de la librería 97808218519820000000

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Diane Maclagan, Bernd Sturmfels
Editorial: American Mathematical Society, United States (2015)
ISBN 10: 0821851985 ISBN 13: 9780821851982
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Descripción American Mathematical Society, United States, 2015. Hardback. Estado de conservación: New. 259 x 183 mm. Language: English . Brand New Book. 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. Nº de ref. de la librería AAN9780821851982

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Diane Maclagan, Bernd Sturmfels
Editorial: American Mathematical Society, United States (2015)
ISBN 10: 0821851985 ISBN 13: 9780821851982
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Descripción American Mathematical Society, United States, 2015. Hardback. Estado de conservación: New. 259 x 183 mm. Language: English . Brand New Book. 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. Nº de ref. de la librería AAN9780821851982

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Diane Maclagan
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Descripción American Mathematical Society, 2015. HRD. Estado de conservación: New. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Nº de ref. de la librería CE-9780821851982

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Descripción Estado de conservación: New. Nº de ref. de la librería 23401766-n

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Maclagan, Diane, Sturmfels, Bernd
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Descripción Amer Mathematical Society, 2015. Estado de conservación: New. Series: Graduate Studies in Mathematics. Num Pages: 364 pages. BIC Classification: PBF; PBMW. Category: (UP) Postgraduate, Research & Scholarly; (UU) Undergraduate. Dimension: 264 x 189 x 23. Weight in Grams: 804. . 2015. Hardcover. . . . . . Nº de ref. de la librería V9780821851982

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Maclagan, Diane; Sturmfels, Bernd
Editorial: American Mathematical Society (2015)
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Descripción American Mathematical Society, 2015. Estado de conservación: New. book. Nº de ref. de la librería ria9780821851982_rkm

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Diane Maclagan, Bernd Sturmfels
Editorial: American Mathematical Society
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Descripción American Mathematical Society. Hardback. Estado de conservación: new. BRAND NEW, Introduction to Tropical Geometry, Diane Maclagan, Bernd Sturmfels, 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. Nº de ref. de la librería B9780821851982

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Maclagan, Diane, Sturmfels, Bernd
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Descripción Amer Mathematical Society. Estado de conservación: New. Series: Graduate Studies in Mathematics. Num Pages: 364 pages. BIC Classification: PBF; PBMW. Category: (UP) Postgraduate, Research & Scholarly; (UU) Undergraduate. Dimension: 264 x 189 x 23. Weight in Grams: 804. . 2015. Hardcover. . . . . Books ship from the US and Ireland. Nº de ref. de la librería V9780821851982

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Maclagan, Diane/ Sturmfels, Bernd
Editorial: Amer Mathematical Society (2015)
ISBN 10: 0821851985 ISBN 13: 9780821851982
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Descripción Amer Mathematical Society, 2015. Hardcover. Estado de conservación: Brand New. 364 pages. 10.25x7.25x1.00 inches. In Stock. Nº de ref. de la librería __0821851985

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