<電子ブック>
Emerging Applications of Algebraic Geometry / edited by Mihai Putinar, Seth Sullivant
(The IMA Volumes in Mathematics and its Applications. ISSN:21983224 ; 149)
版 | 1st ed. 2009. |
---|---|
出版者 | New York, NY : Springer New York : Imprint: Springer |
出版年 | 2009 |
本文言語 | 英語 |
大きさ | XI, 376 p : online resource |
著者標目 | Putinar, Mihai editor Sullivant, Seth editor SpringerLink (Online service) |
件 名 | LCSH:Algebraic geometry LCSH:Universal algebra LCSH:Mathematics LCSH:Algebra FREE:Algebraic Geometry FREE:General Algebraic Systems FREE:Applications of Mathematics FREE:Algebra |
一般注記 | Polynomial Optimization on Odd-Dimensional Spheres -- Engineering Systems and Free Semi-Algebraic Geometry -- Algebraic Statistics and Contingency Table Problems: Log-Linear Models, Likelihood Estimation, and Disclosure Limitation -- Using Invariants for Phylogenetic Tree Construction -- On the Algebraic Geometry of Polynomial Dynamical Systems -- A Unified Approach to Computing Real and Complex Zeros of Zero-Dimensional Ideals -- Sums of Squares, Moment Matrices and Optimization Over Polynomials -- Positivity and Sums of Squares: A Guide to Recent Results -- Noncommutative Real Algebraic Geometry Some Basic Concepts and First Ideas -- Open Problems in Algebraic Statistics 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 HTTP:URL=https://doi.org/10.1007/978-0-387-09686-5 |
目次/あらすじ
所蔵情報を非表示
電子ブック | 配架場所 | 資料種別 | 巻 次 | 請求記号 | 状 態 | 予約 | コメント | ISBN | 刷 年 | 利用注記 | 指定図書 | 登録番号 |
---|---|---|---|---|---|---|---|---|---|---|---|---|
電子ブック | オンライン | 電子ブック |
|
|
Springer eBooks | 9780387096865 |
|
電子リソース |
|
EB00226671 |
類似資料
この資料の利用統計
このページへのアクセス回数:2回
※2017年9月4日以降