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DNA as the genetic material is a topic of intense interest in the 21st century with the familiar and iconic Watson-Crick double helix having a vital importance for its function. However, there are further complexities beyond the double helix that are less understood. This book explains these topological aspects of DNA structure.

The Bertini software package provides a powerful toolset for the numerical solution of systems of polynomial equations. This book provides both a course, with numerous examples, on the use of Bertini to compute solutions, and a complete reference guide with documentation on syntax and usage options. It describes the latest advances in the field, including algorithms for intersecting and projecting algebraic sets, methods for treating singular sets, the nascent field of real numerical algebraic geometry, and applications to large polynomial systems arising from differential equations. This...