Contact us on (02) 8445 2300
For all customer service and order enquiries

Woodslane Online Catalogues

9781470465513 Academic Inspection Copy

Invitation to Nonlinear Algebra

Description
Author
Biography
Table of
Contents
Google
Preview
Nonlinear algebra provides modern mathematical tools to address challenges arising in the sciences and engineering. It is useful everywhere, where polynomials appear: in particular, data and computational sciences, statistics, physics, optimization. The book offers an invitation to this broad and fast-developing area. It is not an extensive encyclopedia of known results, but rather a first introduction to the subject, allowing the reader to enter into more advanced topics. It was designed as the next step after linear algebra and well before abstract algebraic geometry. The book presents both classical topics--like the Nullstellensatz and primary decomposition--and more modern ones--like tropical geometry and semidefinite programming. The focus lies on interactions and applications. Each of the thirteen chapters introduces fundamental concepts. The book may be used for a one-semester course, and the over 200 exercises will help the readers to deepen their understanding of the subject.
Mateusz Michalek, Max Planck Institute for Mathematics in the Sciences, Leipzig, Germany, and University of Konstanz, Germany. Bernd Sturmfels, Max Planck Institute for Mathematics in the Sciences, Leipzig, Germany.
Polynomial rings Varieties Solving and decomposing Mapping and projecting Linear spaces and Grassmannians Nullstellensatze Tropical algebra Toric varieties Tensors Representation theory Invariant theory Semidefinite programming Combinatorics Bibliography Index
Google Preview content