000			02013nam a22002417a 4500
008			230510b |||||||| |||| 00| 0 eng d
020			_a9781470437312 (PB)
041			_aeng
080			_a514.7 _bMAC
100			_aMaclagan, Diane
245			_aIntroduction to tropical geometry
250			_aIndian Edition
260			_aProvidence, Rhode Island _bAmerican Mathematical Society (AMS) _c2017
300			_axii, 363 p
490			_aGraduate studies in mathematics _v6
505			_a1. Tropical Islands 2. Building Blocks 3. Tropical Varities 4. Tropical Rain Forest 5. Tropical Garden 6. Toric Connections
520			_aTropical 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.
650			_aTropical geometry Study and teaching (Graduate)
650			_aGeometry, Algebraic Study and teaching (Graduate)
690			_aMathematics
700			_aSturmfels, Bernd
942			_cBK
999			_c59889 _d59889