Tropical Geometry
Grigory Mikhalkin, Johannes Rau
Graduate text on tropical geometry by two researchers active in the field, with chapters on tropical curves, hypersurfaces, and the link to classical algebraic geometry. For readers comfortable with algebraic varieties.
Loading the book...
Keep reading
-
Next in this topic
Geometry with an Introduction to Cosmic TopologyLinfield College textbook that approaches geometry through the question of the shape of the universe. Covers Euclidean, hyperbolic, and elliptic geometry on the way to a primer on cosmic topology.
Verified PDF · Secure download - Projective Geometry: A Short Introduction
Concise 27-page introduction to projective geometry from a Master MOSIG course, covering projective spaces, transformations of the line and plane, and conics in the projective setting.
Verified PDF · Secure download - Basic Geometric Formulas and properties
Five-page handout with the perimeter, area, and volume formulas for the figures every geometry course returns to. Useful as a quick refresher before exams or while working through longer texts.
Verified PDF · Secure download - Geometry Notes
Arizona State University study notes on perimeter, area, and the Pythagorean theorem, with worked word problems on each topic. Useful as a focused review of school-level results.
Verified PDF · Secure download - Geometry Problems: Circles and Triangles
Classroom Challenge lesson from the Mathematics Assessment Project on geometric properties of circles and triangles. Includes student tasks, sample solutions, and teacher commentary.
Verified PDF · Secure download