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Solving Systems of Polynomial Equations (Cbms Regional Conference Series in Mathematics) - Softcover
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Sturmfels developed the chapters and exercises from his notes for ten lectures he delivered at the conference. His goal is to explain the systems across mathematical levels from graduates in computer science, engineering, or economics, to veterans of algebraic geometry. Annotation c. Book News, Inc., Portland, OR (booknews.com)
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Solving Systems of Polynomial Equations (CBMS Regional Conference Series in Mathematics)
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American Mathematical Society, 2002
ISBN 10: 0821832514
ISBN 13: 9780821832516
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Zustand: New. Exposes many facets of systems of polynomial equations. This book covers a wide spectrum of mathematical techniques and algorithms, both symbolic and numerical. It covers polynomials in one variable, Grobner bases of zero-dimensional ideals, Newton polytopes and Bernstein's Theorem, multidimensional resultants, and primary decomposition. Series: CBMS Regional Conference Series in Mathematics. Num Pages: 152 pages, bibliography, index. BIC Classification: PBF; PBKS; PBMW. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly; (UU) Undergraduate. Dimension: 179 x 253 x 9. Weight in Grams: 290. . 2002. Paperback. . . . . Bestandsnummer des Verkäufers V9780821832516
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Solving Systems of Polynomial Equations
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ISBN 13: 9780821832516
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Paperback. Zustand: Brand New. illustrated edition. 152 pages. 9.75x6.75x0.50 inches. In Stock. Bestandsnummer des Verkäufers __0821832514
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Solving Systems of Polynomial Equations
Verlag:
American Mathematical Society, US, 2002
ISBN 10: 0821832514
ISBN 13: 9780821832516
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Paperback. Zustand: New. illustrated Edition. A classic problem in mathematics is solving systems of polynomial equations in several unknowns. Today, polynomial models are ubiquitous and widely used across the sciences. They arise in robotics, coding theory, optimization, mathematical biology, computer vision, game theory, statistics, and numerous other areas. This book furnishes a bridge across mathematical disciplines and exposes many facets of systems of polynomial equations. It covers a wide spectrum of mathematical techniques and algorithms, both symbolic and numerical.The set of solutions to a system of polynomial equations is an algebraic variety - the basic object of algebraic geometry. The algorithmic study of algebraic varieties is the central theme of computational algebraic geometry. Exciting recent developments in computer software for geometric calculations have revolutionized the field. Formerly inaccessible problems are now tractable, providing fertile ground for experimentation and conjecture. The first half of the book gives a snapshot of the state of the art of the topic. Familiar themes are covered in the first five chapters, including polynomials in one variable, Grobner bases of zero-dimensional ideals, Newton polytopes and Bernstein's Theorem, multidimensional resultants, and primary decomposition.The second half of the book explores polynomial equations from a variety of novel and unexpected angles. It introduces interdisciplinary connections, discusses highlights of current research, and outlines possible future algorithms. Topics include computation of Nash equilibria in game theory, semidefinite programming and the real Nullstellensatz, the algebraic geometry of statistical models, the piecewise-linear geometry of valuations and amoebas, and the Ehrenpreis-Palamodov theorem on linear partial differential equations with constant coefficients.Throughout the text, there are many hands-on examples and exercises, including short but complete sessions in MapleR, MATLABR, Macaulay 2, Singular, PHCpack, CoCoA, and SOSTools software. These examples will be particularly useful for readers with no background in algebraic geometry or commutative algebra. Within minutes, readers can learn how to type in polynomial equations and actually see some meaningful results on their computer screens. Prerequisites include basic abstract and computational algebra. The book is designed as a text for a graduate course in computational algebra. Bestandsnummer des Verkäufers LU-9780821832516
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Solving Systems of Polynomial Equations (Volume 97)
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Zustand: Good. Volume 97. This is an ex-library book and may have the usual library/used-book markings inside.This book has soft covers. In good all round condition. Please note the Image in this listing is a stock photo and may not match the covers of the actual item,400grams, ISBN:9780821832516. Bestandsnummer des Verkäufers 5560579
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Solving Systems of Polynomial Equations (CBMS Regional Conference Series in Mathematics)
Verlag:
American Mathematical Society, 2002
ISBN 10: 0821832514
ISBN 13: 9780821832516
Neu
Softcover
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Verkäuferbewertung 5 von 5 Sternen
Zustand: New. Exposes many facets of systems of polynomial equations. This book covers a wide spectrum of mathematical techniques and algorithms, both symbolic and numerical. It covers polynomials in one variable, Grobner bases of zero-dimensional ideals, Newton polytopes and Bernstein's Theorem, multidimensional resultants, and primary decomposition. Series: CBMS Regional Conference Series in Mathematics. Num Pages: 152 pages, bibliography, index. BIC Classification: PBF; PBKS; PBMW. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly; (UU) Undergraduate. Dimension: 179 x 253 x 9. Weight in Grams: 290. . 2002. Paperback. . . . . Books ship from the US and Ireland. Bestandsnummer des Verkäufers V9780821832516
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Solving Systems of Polynomial Equations
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Solving Systems of Polynomial Equations
Verlag:
American Mathematical Society, 2002
ISBN 10: 0821832514
ISBN 13: 9780821832516
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Solving Systems of Polynomial Equations
Verlag:
American Mathematical Society, US, 2002
ISBN 10: 0821832514
ISBN 13: 9780821832516
Neu
Paperback
Anbieter: Rarewaves.com UK, London, Vereinigtes Königreich
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Paperback. Zustand: New. illustrated Edition. A classic problem in mathematics is solving systems of polynomial equations in several unknowns. Today, polynomial models are ubiquitous and widely used across the sciences. They arise in robotics, coding theory, optimization, mathematical biology, computer vision, game theory, statistics, and numerous other areas. This book furnishes a bridge across mathematical disciplines and exposes many facets of systems of polynomial equations. It covers a wide spectrum of mathematical techniques and algorithms, both symbolic and numerical.The set of solutions to a system of polynomial equations is an algebraic variety - the basic object of algebraic geometry. The algorithmic study of algebraic varieties is the central theme of computational algebraic geometry. Exciting recent developments in computer software for geometric calculations have revolutionized the field. Formerly inaccessible problems are now tractable, providing fertile ground for experimentation and conjecture. The first half of the book gives a snapshot of the state of the art of the topic. Familiar themes are covered in the first five chapters, including polynomials in one variable, Grobner bases of zero-dimensional ideals, Newton polytopes and Bernstein's Theorem, multidimensional resultants, and primary decomposition.The second half of the book explores polynomial equations from a variety of novel and unexpected angles. It introduces interdisciplinary connections, discusses highlights of current research, and outlines possible future algorithms. Topics include computation of Nash equilibria in game theory, semidefinite programming and the real Nullstellensatz, the algebraic geometry of statistical models, the piecewise-linear geometry of valuations and amoebas, and the Ehrenpreis-Palamodov theorem on linear partial differential equations with constant coefficients.Throughout the text, there are many hands-on examples and exercises, including short but complete sessions in MapleR, MATLABR, Macaulay 2, Singular, PHCpack, CoCoA, and SOSTools software. These examples will be particularly useful for readers with no background in algebraic geometry or commutative algebra. Within minutes, readers can learn how to type in polynomial equations and actually see some meaningful results on their computer screens. Prerequisites include basic abstract and computational algebra. The book is designed as a text for a graduate course in computational algebra. Bestandsnummer des Verkäufers LU-9780821832516
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