A Course in Real Algebraic Geometry: Positivity and Sums of Squares (Graduate Texts in Mathematics, 303) free ebook download.

Home : Book details

A Course in Real Algebraic Geometry: Positivity and Sums of Squares (Graduate Texts in Mathematics, 303) free ebook download

Category:
Mathematics

Views: 156
Likes: 0

Catalogue

Author(s):	Claus Scheiderer

Date:	2024	Format:	pdf	Language:	English	ISBN/ASIN:	3031692128
Pages:	422	OCR:		Quality:		ISBN13:
Uploader:	topron	Upload Date:	9/27/2024 2:37:33 PM

To download click on link in the Links Table below

Description: Click to see full description

3031692128 pdf
This textbook is designed for a one-year graduate course in real algebraic geometry, with a particular focus on positivity and sums of squares of polynomials.
The first half of the book features a thorough introduction to ordered fields and real closed fields, including the TarskiSeidenberg projection theorem and transfer principle. Classical results such as Artin's solution to Hilbert's 17th problem and Hilbert's theorems on sums of squares of polynomials are presented in detail. Other features include careful introductions to the real spectrum and to the geometry of semialgebraic sets. The second part studies Archimedean positivstellenstze in great detail and in various settings, together with important applications. The techniques and results presented here are fundamental to contemporary approaches to polynomial optimization. Important results on sums of squares on projective varieties are covered as well. The last part highlights applications to semidefinite programming and polynomial optimization, including recent research on semidefinite representation of convex sets.
Read more

Links Table

	Title	Link	Password	Size (MB)	Thank to	Inform Admin
3272242	Book	https://nitroflare.com/view/3E37DEB053B4...		0.00	topron

Tags: Algebraic Course Geometry Graduate Mathematics Positivity Real Squares Sums Texts

Title	Link	Password	Size	Reason

Those who downloaded this book also downloaded the following books:
Comments

New comment: