Algebraic Geometry And Its Applications PDF Download
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| Author | : Mihai Putinar |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 382 |
| Release | : 2008-12-10 |
| Genre | : Mathematics |
| ISBN | : 0387096868 |
Download Emerging Applications of Algebraic Geometry Book 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.
| Author | : Robert Rolland |
| Publisher | : World Scientific |
| Total Pages | : 530 |
| Release | : 2008-04-17 |
| Genre | : Mathematics |
| ISBN | : 9814471666 |
Download Algebraic Geometry And Its Applications: Dedicated To Gilles Lachaud On His 60th Birthday - Proceedings Of The First Saga Conference Book 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.
| Author | : Steven Dale Cutkosky |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 498 |
| Release | : 2018-06-01 |
| Genre | : Mathematics |
| ISBN | : 1470435187 |
Download Introduction to Algebraic Geometry Book in PDF, ePub and Kindle
This book presents a readable and accessible introductory course in algebraic geometry, with most of the fundamental classical results presented with complete proofs. An emphasis is placed on developing connections between geometric and algebraic aspects of the theory. Differences between the theory in characteristic and positive characteristic are emphasized. The basic tools of classical and modern algebraic geometry are introduced, including varieties, schemes, singularities, sheaves, sheaf cohomology, and intersection theory. Basic classical results on curves and surfaces are proved. More advanced topics such as ramification theory, Zariski's main theorem, and Bertini's theorems for general linear systems are presented, with proofs, in the final chapters. With more than 200 exercises, the book is an excellent resource for teaching and learning introductory algebraic geometry.
| Author | : David A. Cox |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 513 |
| Release | : 2013-04-17 |
| Genre | : Mathematics |
| ISBN | : 1475769113 |
Download Using Algebraic Geometry Book 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.
| Author | : Sergeĭ Mikhaĭlovich Nikolʹskiĭ |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 268 |
| Release | : 1986 |
| Genre | : Mathematics |
| ISBN | : 9780821830925 |
Download Algebraic Geometry and Its Applications Book in PDF, ePub and Kindle
Papers about algebraic geometry and their applications.
| Author | : Solomon Lefschetz |
| Publisher | : Courier Corporation |
| Total Pages | : 250 |
| Release | : 2012-09-05 |
| Genre | : Mathematics |
| ISBN | : 0486154726 |
Download Algebraic Geometry Book in PDF, ePub and Kindle
An introduction to algebraic geometry and a bridge between its analytical-topological and algebraical aspects, this text for advanced undergraduate students is particularly relevant to those more familiar with analysis than algebra. 1953 edition.
| Author | : Sumio Watanabe |
| Publisher | : Cambridge University Press |
| Total Pages | : 295 |
| Release | : 2009-08-13 |
| Genre | : Computers |
| ISBN | : 0521864674 |
Download Algebraic Geometry and Statistical Learning Theory Book in PDF, ePub and Kindle
Sure to be influential, Watanabe's book lays the foundations for the use of algebraic geometry in statistical learning theory. Many models/machines are singular: mixture models, neural networks, HMMs, Bayesian networks, stochastic context-free grammars are major examples. The theory achieved here underpins accurate estimation techniques in the presence of singularities.
| Author | : M. Tsfasman |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 671 |
| Release | : 2013-12-01 |
| Genre | : Mathematics |
| ISBN | : 9401138109 |
Download Algebraic-Geometric Codes Book in PDF, ePub and Kindle
'Et moi ..., si j'avait su comment en revenir, One service mathematics has rendered the je n'y serais point aIle.' human race. It has put common sense back Jules Verne where it belongs, on the topmost shelf next to the dusty canister labelled 'discarded non sense'. The series is divergent; therefore we may be able to do something with it. Eric T. Bell O. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics .. .'; 'One service logic has rendered com puter science .. .'; 'One service category theory has rendered mathematics .. .'. All arguably true. And all statements obtainable this way form part of the raison d' etre of this series.
| Author | : Bertrand Toën |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 242 |
| Release | : 2008 |
| Genre | : Mathematics |
| ISBN | : 0821840991 |
Download Homotopical Algebraic Geometry II: Geometric Stacks and Applications Book in PDF, ePub and Kindle
This is the second part of a series of papers called "HAG", devoted to developing the foundations of homotopical algebraic geometry. The authors start by defining and studying generalizations of standard notions of linear algebra in an abstract monoidal model category, such as derivations, étale and smooth morphisms, flat and projective modules, etc. They then use their theory of stacks over model categories to define a general notion of geometric stack over a base symmetric monoidal model category $C$, and prove that this notion satisfies the expected properties.
| Author | : Jean Fresnel |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 303 |
| Release | : 2012-12-06 |
| Genre | : Mathematics |
| ISBN | : 1461200415 |
Download Rigid Analytic Geometry and Its Applications Book in PDF, ePub and Kindle
Rigid (analytic) spaces were invented to describe degenerations, reductions, and moduli of algebraic curves and abelian varieties. This work, a revised and greatly expanded new English edition of an earlier French text by the same authors, presents important new developments and applications of the theory of rigid analytic spaces to abelian varieties, "points of rigid spaces," étale cohomology, Drinfeld modular curves, and Monsky-Washnitzer cohomology. The exposition is concise, self-contained, rich in examples and exercises, and will serve as an excellent graduate-level text for the classroom or for self-study.
