,OceanofPDF.com
, Symmetries of Algebraic Varieties in
Two and Three Dimensions
Symmetries of Algebraic Varieties in Two and Three Dimensions explores the computation of the
symmetries of algebraic varieties in two and three dimensions. Most of the attention goes to curves
(both planar and spatial) and surfaces, either implicitly defined or defined by means of a rational
parametrization. But other algebraic objects, like planar vector fields and finite sets of points, are also
covered.
The book is primarily addressed to researchers and post-graduates, but the content is also accessible
to advanced undergraduates with a modest background in computer algebra and algebraic geometry.
A primer on these topics is also provided.
Key Features:
Treats problems in constructive (algebraic) geometry from a computer algebra perspective.
Accessible and self-contained, assuming only a minimal background in advanced mathematics.
Each chapter contains a list of open problems related to the chapter, providing topics for further
research and inviting the reader to work on specific questions.
Juan Gerardo Alcázar is a Full Professor of Applied Mathematics in the Department of Physics and
Mathematics of the Universidad de Alcalá (Alcalá de Henares, Madrid, Spain), where he got his
Ph.D. in Mathematics in 2007. He has authored and co-authored more than fifty research papers on
Computer Algebra and Constructive Algebraic Geometry, most of them related to the interplay
between Symbolic Computation and the effective solution of geometric problems on algebraic
varieties, mainly curves and surfaces. His most cherished research topics are the effective
computation of the topology of algebraic curves and surfaces, offset varieties, detection of special
types of curves and surfaces, and efficient checking of symmetries, affine and projective
equivalences.
OceanofPDF.com
, Symmetries of Algebraic Varieties in
Two and Three Dimensions
A Computational Approach
Juan Gerardo Alcázar
OceanofPDF.com
, Symmetries of Algebraic Varieties in
Two and Three Dimensions
Symmetries of Algebraic Varieties in Two and Three Dimensions explores the computation of the
symmetries of algebraic varieties in two and three dimensions. Most of the attention goes to curves
(both planar and spatial) and surfaces, either implicitly defined or defined by means of a rational
parametrization. But other algebraic objects, like planar vector fields and finite sets of points, are also
covered.
The book is primarily addressed to researchers and post-graduates, but the content is also accessible
to advanced undergraduates with a modest background in computer algebra and algebraic geometry.
A primer on these topics is also provided.
Key Features:
Treats problems in constructive (algebraic) geometry from a computer algebra perspective.
Accessible and self-contained, assuming only a minimal background in advanced mathematics.
Each chapter contains a list of open problems related to the chapter, providing topics for further
research and inviting the reader to work on specific questions.
Juan Gerardo Alcázar is a Full Professor of Applied Mathematics in the Department of Physics and
Mathematics of the Universidad de Alcalá (Alcalá de Henares, Madrid, Spain), where he got his
Ph.D. in Mathematics in 2007. He has authored and co-authored more than fifty research papers on
Computer Algebra and Constructive Algebraic Geometry, most of them related to the interplay
between Symbolic Computation and the effective solution of geometric problems on algebraic
varieties, mainly curves and surfaces. His most cherished research topics are the effective
computation of the topology of algebraic curves and surfaces, offset varieties, detection of special
types of curves and surfaces, and efficient checking of symmetries, affine and projective
equivalences.
OceanofPDF.com
, Symmetries of Algebraic Varieties in
Two and Three Dimensions
A Computational Approach
Juan Gerardo Alcázar
OceanofPDF.com
