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 TechnologyFrom the Publisher:
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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Descripción American Mathematical Society 2015-04-30, Providence, 2015. hardback. Estado de conservación: New. Nº de ref. de la librería 9780821851982
Descripción Amer Mathematical Society, 2015. Hardcover. Estado de conservación: New. book. Nº de ref. de la librería 0821851985
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 zk0821851985
Descripción Amer Mathematical Society, 2015. Estado de conservación: New. Brand New, Unread Copy in Perfect Condition. A+ Customer Service!. Nº de ref. de la librería ABE_book_new_0821851985