Ncomputational algebraic geometry books stackexchange

Newest linearalgebra questions computational science. I feel like finding an algebraic solution is not a proof of uniqueness. Newest algebraicgeometry questions history of science. I would recommend ideals, varieties, and algorithms. Papers on relation between computational complexity and. I am looking for a comprehensive book or notes in algebraic geometry and topology techniques. Every item in that list corresponds to the books that i have studied in a certain subject. Naturally, the emphasis is on fields and rings, rather than groups. Very complete proves riemannroch for curves in an easy language and concrete in classic constructions needed. Sure to be influential, this book lays the foundations for the use of algebraic geometry in statistical learning theory. Many widely used statistical models and learning machines applied to information science have a parameter space that is singular. Problems under this tag typically involve techniques of abstract algebra or complexanalytic methods. I think algebraic geometry is too broad a subject to choose only one book. As a student studying this subject, i have always found it such a great leap to.

One potentiallyattractive aspect of the book is the way in which it combines algebra, geometry and algorithms. Purely mathematical questions should not go here, instead, they belong on math stack exchange. An introduction to computational algebraic geometry and commutative algebra by cox, little and oshea if your initial algebraic geometry knowledge is almost zero. Writing a list of books in the statement of purpose. My gut says that there should be a good example where algebraically solving implies a unique solution when really there isnt one. Note that the book does not require prior knowledge of abstract algebra and the authors suggest that it could be used for a first course in the subject. Newest algebraicgeometry questions physics stack exchange. For algebraic geometry there are a number of excellent books. Bott tu has some very nice exposition on spectral sequences. Use for questions about algebraic geometry as it applies to physics.