First steps in tropical geometry

OTHER published 2005 in Idempotent Mathematics and Mathematical Physics

Authors: Jürgen Richter-Gebert | Bernd Sturmfels | Thorsten Theobald

Enumerative tropical algebraic geometry in ℝ²

JOURNAL ARTICLE published 20 January 2005 in Journal of the American Mathematical Society

Authors: Grigory Mikhalkin

Tropical discriminants

JOURNAL ARTICLE published 23 April 2007 in Journal of the American Mathematical Society

Authors: Alicia Dickenstein | Eva Feichtner | Bernd Sturmfels

On the decidability of Diophantine problems in combinatorial geometry

JOURNAL ARTICLE published 1987 in Bulletin of the American Mathematical Society

Authors: Bernd Sturmfels

Correction to: “A real algebraic vector bundle is strongly algebraic whenever its total space is affine” [in Real algebraic geometry and topology (East Lansing, MI, 1993), 117–119, Contemp. Math., 182, Amer. Math. Soc., Providence, RI, 1995; MR1318734 (95m:14036)]

OTHER published 2000 in Real Algebraic Geometry and Ordered Structures

Authors: J. Huisman

The Maslov Dequantization, idempotent and tropical mathematics: a very brief introduction

OTHER published 2005 in Idempotent Mathematics and Mathematical Physics

Authors: G. Litvinov

Tropical bases by regular projections

JOURNAL ARTICLE published 18 February 2009 in Proceedings of the American Mathematical Society

Authors: Kerstin Hept | Thorsten Theobald

On the topology and geometric construction of oriented matroids and convex polytopes

JOURNAL ARTICLE published 1991 in Transactions of the American Mathematical Society

Authors: Jürgen Richter | Bernd Sturmfels

Realization spaces of 4-polytopes are universal

JOURNAL ARTICLE published 1995 in Bulletin of the American Mathematical Society

Authors: Jürgen Richter-Gebert | Günter M. Ziegler

Book Review: Plane Geometry

JOURNAL ARTICLE published 1 May 1917 in Bulletin of the American Mathematical Society

Authors: M. G. Gaba

Two notes on metric geometry

JOURNAL ARTICLE published 1977 in Proceedings of the American Mathematical Society

Authors: Ralph Alexander

Triangle Geometry

BOOK CHAPTER published in First Steps for Math Olympians

Authors: J. Douglas Faires

Circle Geometry

BOOK CHAPTER published in First Steps for Math Olympians

Authors: J. Douglas Faires

Book Review: A course of geometry

JOURNAL ARTICLE published 1 May 1954 in Bulletin of the American Mathematical Society

Authors: H. Busemann

Tropical Geometry Forwards and Backwards

JOURNAL ARTICLE published 1 August 2023 in Notices of the American Mathematical Society

Authors: Dhruv Ranganathan

WHAT IS...Tropical Geometry?

JOURNAL ARTICLE published 1 April 2017 in Notices of the American Mathematical Society

Authors: Eric Katz

Thermodynamics, idempotent analysis, and tropical geometry as a return to primitivism

JOURNAL ARTICLE published April 2016 in Russian Journal of Mathematical Physics

Authors: V. P. Maslov

Nonnegative idempotent matrices

JOURNAL ARTICLE published 1974 in Proceedings of the American Mathematical Society

Authors: Ralph DeMarr

Corrections to: ‘‘First steps in descriptive theory of locales” [Trans. Amer. Math. Soc. {bf 327} (1991), no. 1, 353–371; MR1091230 (92b:54078)]

JOURNAL ARTICLE published 1 January 1994 in Transactions of the American Mathematical Society

Authors: John Isbell

Tensors and Their Eigenvectors

JOURNAL ARTICLE published 1 June 2016 in Notices of the American Mathematical Society

Authors: Bernd Sturmfels