Methods of Algebraic Geometry: Volume 1

Methods of Algebraic Geometry: Volume 1 PDF Author: W. V. D. Hodge
Publisher: Cambridge University Press
ISBN: 9780521469005
Category : Mathematics
Languages : en
Pages : 454

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Book Description
All three volumes of Hodge and Pedoe's classic work have now been reissued. Together, these books give an insight into algebraic geometry that is unique and unsurpassed.

Methods of Algebraic Geometry: Volume 1

Methods of Algebraic Geometry: Volume 1 PDF Author: W. V. D. Hodge
Publisher: Cambridge University Press
ISBN: 9780521469005
Category : Mathematics
Languages : en
Pages : 454

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Book Description
All three volumes of Hodge and Pedoe's classic work have now been reissued. Together, these books give an insight into algebraic geometry that is unique and unsurpassed.

Methods of Algebraic Geometry: Volume 3

Methods of Algebraic Geometry: Volume 3 PDF Author: W. V. D. Hodge
Publisher: Cambridge University Press
ISBN: 0521467756
Category : Mathematics
Languages : en
Pages : 350

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Book Description
All three volumes of Hodge and Pedoe's classic work have now been reissued. Together, these books give an insight into algebraic geometry that is unique and unsurpassed.

Methods of Algebraic Geometry

Methods of Algebraic Geometry PDF Author: William Vallance Douglas Hodge
Publisher: CUP Archive
ISBN:
Category :
Languages : en
Pages : 456

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Book Description


Methods of Algebraic Geometry in Control Theory: Part I

Methods of Algebraic Geometry in Control Theory: Part I PDF Author: Peter Falb
Publisher: Springer
ISBN: 3319980262
Category : Mathematics
Languages : en
Pages : 202

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Book Description
"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

Methods of Algebraic Geometry: Volume 2

Methods of Algebraic Geometry: Volume 2 PDF Author: W. V. D. Hodge
Publisher: Cambridge University Press
ISBN: 0521469015
Category : Mathematics
Languages : en
Pages : 408

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Book Description
All three volumes of Hodge and Pedoe's classic work have now been reissued. Together, these books give an insight into algebraic geometry that is unique and unsurpassed.

Effective Methods in Algebraic Geometry

Effective Methods in Algebraic Geometry PDF Author: T. Mora
Publisher: Springer Science & Business Media
ISBN: 1461204410
Category : Mathematics
Languages : en
Pages : 504

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Book Description
The symposium "MEGA-90 - Effective Methods in Algebraic Geome try" was held in Castiglioncello (Livorno, Italy) in April 17-211990. The themes - we quote from the "Call for papers" - were the fol lowing: - Effective methods and complexity issues in commutative algebra, pro jective geometry, real geometry, algebraic number theory - Algebraic geometric methods in algebraic computing Contributions in related fields (computational aspects of group theory, differential algebra and geometry, algebraic and differential topology, etc.) were also welcome. The origin and the motivation of such a meeting, that is supposed to be the first of a series, deserves to be explained. The subject - the theory and the practice of computation in alge braic geometry and related domains from the mathematical viewpoin- has been one of the themes of the symposia organized by SIGSAM (the Special Interest Group for Symbolic and Algebraic Manipulation of the Association for Computing Machinery), SAME (Symbolic and Algebraic Manipulation in Europe), and AAECC (the semantics of the name is vary ing; an average meaning is "Applied Algebra and Error Correcting Codes").

Using Algebraic Geometry

Using Algebraic Geometry PDF Author: David A. Cox
Publisher: Springer Science & Business Media
ISBN: 1475769113
Category : Mathematics
Languages : en
Pages : 513

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Book Description
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.

Topological Methods in Algebraic Geometry

Topological Methods in Algebraic Geometry PDF Author: Friedrich Hirzebruch
Publisher: Springer
ISBN: 3662306972
Category : Mathematics
Languages : en
Pages : 241

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Book Description


Polyhedral and Algebraic Methods in Computational Geometry

Polyhedral and Algebraic Methods in Computational Geometry PDF Author: Michael Joswig
Publisher: Springer Science & Business Media
ISBN: 1447148177
Category : Mathematics
Languages : en
Pages : 251

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Book Description
Polyhedral and Algebraic Methods in Computational Geometry provides a thorough introduction into algorithmic geometry and its applications. It presents its primary topics from the viewpoints of discrete, convex and elementary algebraic geometry. The first part of the book studies classical problems and techniques that refer to polyhedral structures. The authors include a study on algorithms for computing convex hulls as well as the construction of Voronoi diagrams and Delone triangulations. The second part of the book develops the primary concepts of (non-linear) computational algebraic geometry. Here, the book looks at Gröbner bases and solving systems of polynomial equations. The theory is illustrated by applications in computer graphics, curve reconstruction and robotics. Throughout the book, interconnections between computational geometry and other disciplines (such as algebraic geometry, optimization and numerical mathematics) are established. Polyhedral and Algebraic Methods in Computational Geometry is directed towards advanced undergraduates in mathematics and computer science, as well as towards engineering students who are interested in the applications of computational geometry.

Geometric Methods in Algebra and Number Theory

Geometric Methods in Algebra and Number Theory PDF Author: Fedor Bogomolov
Publisher: Springer Science & Business Media
ISBN: 0817644172
Category : Mathematics
Languages : en
Pages : 365

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Book Description
* Contains a selection of articles exploring geometric approaches to problems in algebra, algebraic geometry and number theory * The collection gives a representative sample of problems and most recent results in algebraic and arithmetic geometry * Text can serve as an intense introduction for graduate students and those wishing to pursue research in algebraic and arithmetic geometry