前辅文
 Chapter 1. Tropical Islands
  1.1. Arithmetic
  1.2. Dynamic Programming
  1.3. Plane Curves
  1.4. Amoebas and their Tentacles
  1.5. Implicitization
  1.6. Group Theory
  1.7. Curve Counting
  1.8. Compactifications
  1.9. Exercises
 Chapter 2. Building Blocks
  2.1. Fields
  2.2. Algebraic Varieties
  2.3. Polyhedral Geometry
  2.4. Gr¨obner Bases
  2.5. Gr¨obner Complexes
  2.6. Tropical Bases
  2.7. Exercises
 Chapter 3. Tropical Varieties
  3.1. Hypersurfaces
  3.2. The Fundamental Theorem
  3.3. The Structure Theorem
  3.4. Multiplicities and Balancing
  3.5. Connectivity and Fans
  3.6. Stable Intersection
  3.7. Exercises
 Chapter 4. Tropical Rain Forest
  4.1. Hyperplane Arrangements
  4.2. Matroids
  4.3. Grassmannians
  4.4. Linear Spaces
  4.5. Surfaces
  4.6. Complete Intersections
  4.7. Exercises
 Chapter 5. Tropical Garden
  5.1. Eigenvalues and Eigenvectors
  5.2. Tropical Convexity
  5.3. The Rank of a Matrix
  5.4. Arrangements of Trees
  5.5. Monomials in Linear Forms
  5.6. Exercises
 Chapter 6. Toric Connections
  6.1. Toric Background
  6.2. Tropicalizing Toric Varieties
  6.3. Orbits
  6.4. Tropical Compactifications
  6.5. Geometric Tropicalization
  6.6. Degenerations
  6.7. Intersection Theory
  6.8. Exercises
 Bibliography
 Index