This book provides a quick access to computational tools for algebraic geometry, the mathematical discipline which handles solution sets of polynomial equations. Originating from a number of intense one week schools taught by the authors, the text is designed so as to provide a step by step introduction which enables the reader to get started with his own computational experiments right away. The authors present the basic concepts and ideas in a compact way.

This book provides a quick access to computational tools for algebraic geometry, the mathematical discipline which handles solution sets of polynomial equations. Originating from a number of intense one week schools taught by the authors, the text is designed so as to provide a step by step introduction which enables the reader to get started with his own computational experiments right away. The authors present the basic concepts and ideas in a compact way.

Singularity theory is an area of mathematics at the crossroads of algebraic geometry, topology, and differential equations.
Initiated by Thom, Arnol'd and others in the 1970s, it quickly developed into a central area of mathematics.
Challenging problems on singularities were both a driving force and a beneficiary of the development of Grobner basis methods in computer algebra.
This unique volume is a collection of recent original research by some of the leading figures of singularity theory of the last three decades. The articles highlight a large variety of techniques, ranging from...

This book presents state-of-the-art research and survey articles that highlight work done within the Priority Program SPP 1489 "Algorithmic and Experimental Methods in Algebra, Geometry and Number Theory", which was established and generously supported by the German Research Foundation (DFG) from 2010 to 2016.