Emerging Applications of Algebraic Geometry - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Emerging Applications of Algebraic Geometry write by Mihai Putinar. This book was released on 2008-12-10. Emerging Applications of Algebraic Geometry available in PDF, EPUB and Kindle. Recent advances in both the theory and implementation of computational algebraic geometry have led to new, striking applications to a variety of fields of research. The articles in this volume highlight a range of these applications and provide introductory material for topics covered in the IMA workshops on "Optimization and Control" and "Applications in Biology, Dynamics, and Statistics" held during the IMA year on Applications of Algebraic Geometry. The articles related to optimization and control focus on burgeoning use of semidefinite programming and moment matrix techniques in computational real algebraic geometry. The new direction towards a systematic study of non-commutative real algebraic geometry is well represented in the volume. Other articles provide an overview of the way computational algebra is useful for analysis of contingency tables, reconstruction of phylogenetic trees, and in systems biology. The contributions collected in this volume are accessible to non-experts, self-contained and informative; they quickly move towards cutting edge research in these areas, and provide a wealth of open problems for future research.
Using Algebraic Geometry
Using Algebraic Geometry - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Using Algebraic Geometry write by David A. Cox. This book was released on 2013-04-17. Using Algebraic Geometry available in PDF, EPUB and Kindle. An illustration of the many uses of algebraic geometry, highlighting the more recent applications of Groebner bases and resultants. Along the way, the authors provide an introduction to some algebraic objects and techniques more advanced than typically encountered in a first course. The book is accessible to non-specialists and to readers with a diverse range of backgrounds, assuming readers know the material covered in standard undergraduate courses, including abstract algebra. But because the text is intended for beginning graduate students, it does not require graduate algebra, and in particular, does not assume that the reader is familiar with modules.
Computations in Algebraic Geometry with Macaulay 2
Computations in Algebraic Geometry with Macaulay 2 - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Computations in Algebraic Geometry with Macaulay 2 write by David Eisenbud. This book was released on 2001-09-25. Computations in Algebraic Geometry with Macaulay 2 available in PDF, EPUB and Kindle. This book presents algorithmic tools for algebraic geometry, with experimental applications. It also introduces Macaulay 2, a computer algebra system supporting research in algebraic geometry, commutative algebra, and their applications. The algorithmic tools presented here are designed to serve readers wishing to bring such tools to bear on their own problems. The first part of the book covers Macaulay 2 using concrete applications; the second emphasizes details of the mathematics.
Algebraic Geometry and Its Applications
Algebraic Geometry and Its Applications - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Algebraic Geometry and Its Applications write by Jean Chaumine. This book was released on 2008. Algebraic Geometry and Its Applications available in PDF, EPUB and Kindle. This volume covers many topics, including number theory, Boolean functions, combinatorial geometry, and algorithms over finite fields. It contains many new, theoretical and applicable results, as well as surveys that were presented by the top specialists in these areas. New results include an answer to one of Serre's questions, posted in a letter to Top; cryptographic applications of the discrete logarithm problem related to elliptic curves and hyperelliptic curves; construction of function field towers; construction of new classes of Boolean cryptographic functions; and algorithmic applications of algebraic geometry.
Semidefinite Optimization and Convex Algebraic Geometry
Semidefinite Optimization and Convex Algebraic Geometry - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Semidefinite Optimization and Convex Algebraic Geometry write by Grigoriy Blekherman. This book was released on 2013-03-21. Semidefinite Optimization and Convex Algebraic Geometry available in PDF, EPUB and Kindle. An accessible introduction to convex algebraic geometry and semidefinite optimization. For graduate students and researchers in mathematics and computer science.
