Algebraic Geometry and its Applications

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Publisher : Springer
ISBN 13 : 9781461276142
Total Pages : 0 pages
Book Rating : 4.2/5 (761 download)

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Book Synopsis Algebraic Geometry and its Applications by : Chandrajit L. Bajaj

Download or read book Algebraic Geometry and its Applications written by Chandrajit L. Bajaj and published by Springer. This book was released on 2011-09-22 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Algebraic Geometry and its Applications will be of interest not only to mathematicians but also to computer scientists working on visualization and related topics. The book is based on 32 invited papers presented at a conference in honor of Shreeram Abhyankar's 60th birthday, which was held in June 1990 at Purdue University and attended by many renowned mathematicians (field medalists), computer scientists and engineers. The keynote paper is by G. Birkhoff; other contributors include such leading names in algebraic geometry as R. Hartshorne, J. Heintz, J.I. Igusa, D. Lazard, D. Mumford, and J.-P. Serre.

Emerging Applications of Algebraic Geometry

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Publisher : Springer Science & Business Media
ISBN 13 : 0387096868
Total Pages : 382 pages
Book Rating : 4.3/5 (87 download)

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Book Synopsis Emerging Applications of Algebraic Geometry by : Mihai Putinar

Download or read book Emerging Applications of Algebraic Geometry written by Mihai Putinar and published by Springer Science & Business Media. This book was released on 2008-12-10 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Introduction to Algebraic Geometry

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Publisher : American Mathematical Soc.
ISBN 13 : 1470435187
Total Pages : 484 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Introduction to Algebraic Geometry by : Steven Dale Cutkosky

Download or read book Introduction to Algebraic Geometry written by Steven Dale Cutkosky and published by American Mathematical Soc.. This book was released on 2018-06-01 with total page 484 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Algebraic Geometry and Its Applications

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Publisher : American Mathematical Soc.
ISBN 13 : 9780821830925
Total Pages : 268 pages
Book Rating : 4.8/5 (39 download)

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Book Synopsis Algebraic Geometry and Its Applications by : Sergeĭ Mikhaĭlovich Nikolʹskiĭ

Download or read book Algebraic Geometry and Its Applications written by Sergeĭ Mikhaĭlovich Nikolʹskiĭ and published by American Mathematical Soc.. This book was released on 1986 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: Papers about algebraic geometry and their applications.

Using Algebraic Geometry

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Publisher : Springer Science & Business Media
ISBN 13 : 1475769113
Total Pages : 513 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Using Algebraic Geometry by : David A. Cox

Download or read book Using Algebraic Geometry written by David A. Cox and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 513 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Algebraic Geometry for Scientists and Engineers

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Publisher : American Mathematical Soc.
ISBN 13 : 0821815350
Total Pages : 295 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Algebraic Geometry for Scientists and Engineers by : Shreeram Shankar Abhyankar

Download or read book Algebraic Geometry for Scientists and Engineers written by Shreeram Shankar Abhyankar and published by American Mathematical Soc.. This book was released on 1990 with total page 295 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book, based on lectures presented in courses on algebraic geometry taught by the author at Purdue University, is intended for engineers and scientists (especially computer scientists), as well as graduate students and advanced undergraduates in mathematics. In addition to providing a concrete or algorithmic approach to algebraic geometry, the author also attempts to motivate and explain its link to more modern algebraic geometry based on abstract algebra.The book covers various topics in the theory of algebraic curves and surfaces, such as rational and polynomial parametrization, functions and differentials on a curve, branches and valuations, and resolution of singularities. The emphasis is on presenting heuristic ideas and suggestive arguments rather than formal proofs. Readers will gain new insight into the subject of algebraic geometry in a way that should increase appreciation of modern treatments of the subject, as well as enhance its utility in applications in science and industry.

Algebraic-Geometric Codes

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Publisher : Springer Science & Business Media
ISBN 13 : 9401138109
Total Pages : 671 pages
Book Rating : 4.4/5 (11 download)

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Book Synopsis Algebraic-Geometric Codes by : M. Tsfasman

Download or read book Algebraic-Geometric Codes written by M. Tsfasman and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 671 pages. Available in PDF, EPUB and Kindle. Book excerpt: '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.

Lectures on Algebraic Geometry I

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Publisher : Springer Science & Business Media
ISBN 13 : 3834895016
Total Pages : 301 pages
Book Rating : 4.8/5 (348 download)

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Book Synopsis Lectures on Algebraic Geometry I by : Günter Harder

Download or read book Lectures on Algebraic Geometry I written by Günter Harder and published by Springer Science & Business Media. This book was released on 2008-08-01 with total page 301 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book and the following second volume is an introduction into modern algebraic geometry. In the first volume the methods of homological algebra, theory of sheaves, and sheaf cohomology are developed. These methods are indispensable for modern algebraic geometry, but they are also fundamental for other branches of mathematics and of great interest in their own. In the last chapter of volume I these concepts are applied to the theory of compact Riemann surfaces. In this chapter the author makes clear how influential the ideas of Abel, Riemann and Jacobi were and that many of the modern methods have been anticipated by them.

Homotopical Algebraic Geometry II: Geometric Stacks and Applications

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Publisher : American Mathematical Soc.
ISBN 13 : 0821840991
Total Pages : 242 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Homotopical Algebraic Geometry II: Geometric Stacks and Applications by : Bertrand Toen

Download or read book Homotopical Algebraic Geometry II: Geometric Stacks and Applications written by Bertrand Toen and published by American Mathematical Soc.. This book was released on 2008 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Algebraic Geometry

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Publisher : Springer Science & Business Media
ISBN 13 : 1475738498
Total Pages : 511 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Algebraic Geometry by : Robin Hartshorne

Download or read book Algebraic Geometry written by Robin Hartshorne and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 511 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to abstract algebraic geometry, with the only prerequisites being results from commutative algebra, which are stated as needed, and some elementary topology. More than 400 exercises distributed throughout the book offer specific examples as well as more specialised topics not treated in the main text, while three appendices present brief accounts of some areas of current research. This book can thus be used as textbook for an introductory course in algebraic geometry following a basic graduate course in algebra. Robin Hartshorne studied algebraic geometry with Oscar Zariski and David Mumford at Harvard, and with J.-P. Serre and A. Grothendieck in Paris. He is the author of "Residues and Duality", "Foundations of Projective Geometry", "Ample Subvarieties of Algebraic Varieties", and numerous research titles.

Algebraic K-Theory and Its Applications

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Publisher : Springer Science & Business Media
ISBN 13 : 1461243149
Total Pages : 404 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Algebraic K-Theory and Its Applications by : Jonathan Rosenberg

Download or read book Algebraic K-Theory and Its Applications written by Jonathan Rosenberg and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: Algebraic K-Theory is crucial in many areas of modern mathematics, especially algebraic topology, number theory, algebraic geometry, and operator theory. This text is designed to help graduate students in other areas learn the basics of K-Theory and get a feel for its many applications. Topics include algebraic topology, homological algebra, algebraic number theory, and an introduction to cyclic homology and its interrelationship with K-Theory.

Algebraic Geometry

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Publisher :
ISBN 13 : 9780691653242
Total Pages : 0 pages
Book Rating : 4.6/5 (532 download)

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Book Synopsis Algebraic Geometry by : Solomon Lefschetz

Download or read book Algebraic Geometry written by Solomon Lefschetz and published by . This book was released on 2016-04-19 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first application of modern algebraic techniques to a comprehensive selection of classical geometric problems. Written with spirit and originality, this is a valuable book for anyone interested in the subject from other than the purely algebraic point of view. Originally published in 1953. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

Principles of Algebraic Geometry

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Publisher : John Wiley & Sons
ISBN 13 : 111862632X
Total Pages : 837 pages
Book Rating : 4.1/5 (186 download)

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Book Synopsis Principles of Algebraic Geometry by : Phillip Griffiths

Download or read book Principles of Algebraic Geometry written by Phillip Griffiths and published by John Wiley & Sons. This book was released on 2014-08-21 with total page 837 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive, self-contained treatment presenting general results of the theory. Establishes a geometric intuition and a working facility with specific geometric practices. Emphasizes applications through the study of interesting examples and the development of computational tools. Coverage ranges from analytic to geometric. Treats basic techniques and results of complex manifold theory, focusing on results applicable to projective varieties, and includes discussion of the theory of Riemann surfaces and algebraic curves, algebraic surfaces and the quadric line complex as well as special topics in complex manifolds.

Methods of Algebraic Geometry in Control Theory: Part I

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Publisher : Springer
ISBN 13 : 3319980262
Total Pages : 202 pages
Book Rating : 4.3/5 (199 download)

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Book Synopsis Methods of Algebraic Geometry in Control Theory: Part I by : Peter Falb

Download or read book Methods of Algebraic Geometry in Control Theory: Part I written by Peter Falb and published by Springer. This book was released on 2018-08-25 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt: "An introduction to the ideas of algebraic geometry in the motivated context of system theory." Thus the author describes his textbook that has been specifically written to serve the needs of students of systems and control. Without sacrificing mathematical care, the author makes the basic ideas of algebraic geometry accessible to engineers and applied scientists. The emphasis is on constructive methods and clarity rather than abstraction. The student will find here a clear presentation with an applied flavor, of the core ideas in the algebra-geometric treatment of scalar linear system theory. The author introduces the four representations of a scalar linear system and establishes the major results of a similar theory for multivariable systems appearing in a succeeding volume (Part II: Multivariable Linear Systems and Projective Algebraic Geometry). Prerequisites are the basics of linear algebra, some simple notions from topology and the elementary properties of groups, rings, and fields, and a basic course in linear systems. Exercises are an integral part of the treatment and are used where relevant in the main body of the text. The present, softcover reprint is designed to make this classic textbook available to a wider audience. "This book is a concise development of affine algebraic geometry together with very explicit links to the applications...[and] should address a wide community of readers, among pure and applied mathematicians." —Monatshefte für Mathematik

Rigid Analytic Geometry and Its Applications

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Publisher : Springer Science & Business Media
ISBN 13 : 1461200415
Total Pages : 303 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Rigid Analytic Geometry and Its Applications by : Jean Fresnel

Download or read book Rigid Analytic Geometry and Its Applications written by Jean Fresnel and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 303 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Algebraic Geometry and Statistical Learning Theory

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Publisher : Cambridge University Press
ISBN 13 : 0521864674
Total Pages : 295 pages
Book Rating : 4.5/5 (218 download)

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Book Synopsis Algebraic Geometry and Statistical Learning Theory by : Sumio Watanabe

Download or read book Algebraic Geometry and Statistical Learning Theory written by Sumio Watanabe and published by Cambridge University Press. This book was released on 2009-08-13 with total page 295 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Quadratic Forms with Applications to Algebraic Geometry and Topology

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Publisher : Cambridge University Press
ISBN 13 : 0521467551
Total Pages : 191 pages
Book Rating : 4.5/5 (214 download)

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Book Synopsis Quadratic Forms with Applications to Algebraic Geometry and Topology by : Albrecht Pfister

Download or read book Quadratic Forms with Applications to Algebraic Geometry and Topology written by Albrecht Pfister and published by Cambridge University Press. This book was released on 1995-09-28 with total page 191 pages. Available in PDF, EPUB and Kindle. Book excerpt: A gem of a book bringing together 30 years worth of results that are certain to interest anyone whose research touches on quadratic forms.