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Books > Science & Mathematics > Mathematics > Algebra
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Applications of Polynomial Systems (Paperback)
Loot Price: R1,587
Discovery Miles 15 870
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Applications of Polynomial Systems (Paperback)
Series: CBMS Regional Conference Series in Mathematics
Expected to ship within 12 - 17 working days
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Systems of polynomial equations can be used to model an astonishing
variety of phenomena. This book explores the geometry and algebra
of such systems and includes numerous applications. The book begins
with elimination theory from Newton to the twenty-first century and
then discusses the interaction between algebraic geometry and
numerical computations, a subject now called numerical algebraic
geometry. The final three chapters discuss applications to
geometric modeling, rigidity theory, and chemical reaction networks
in detail. Each chapter ends with a section written by a leading
expert. Examples in the book include oil wells, HIV infection,
phylogenetic models, four-bar mechanisms, border rank, font design,
Stewart-Gough platforms, rigidity of edge graphs, Gaussian
graphical models, geometric constraint systems, and enzymatic
cascades. The reader will encounter geometric objects such as
Bezier patches, Cayley-Menger varieties, and toric varieties; and
algebraic objects such as resultants, Rees algebras, approximation
complexes, matroids, and toric ideals. Two important subthemes that
appear in multiple chapters are toric varieties and algebraic
statistics. The book also discusses the history of elimination
theory, including its near elimination in the middle of the
twentieth century. The main goal is to inspire the reader to learn
about the topics covered in the book. With this in mind, the book
has an extensive bibliography containing over 350 books and papers.
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