Cantitate/Preț
Produs
Total produse
Vezi coșul
Algorithms in Real Algebraic Geometry de Saugata Basu

Algorithms in Real Algebraic Geometry: Algorithms and Computation in Mathematics, cartea 10

Autor Saugata Basu, Richard Pollack, Marie-Françoise Coste-Roy
en Limba Engleză Paperback – 20 noi 2010
The algorithmic problems of real algebraic geometry such as real root counting, deciding the existence of solutions of systems of polynomial equations and inequalities, finding global maxima or deciding whether two points belong in the same connected component of a semi-algebraic set appear frequently in many areas of science and engineering. In this textbook the main ideas and techniques presented form a coherent and rich body of knowledge.
Mathematicians will find relevant information about the algorithmic aspects. Researchers in computer science and engineering will find the required mathematical background.
Being self-contained the book is accessible to graduate students and even, for invaluable parts of it, to undergraduate students.
This second edition contains several recent results, on discriminants of symmetric matrices, real root isolation, global optimization, quantitative results on semi-algebraic sets and the first single exponential algorithm computing their first Betti number.
Citește tot Restrânge

Toate formatele și edițiile

Toate formatele și edițiile Preț Express
Paperback (1) 60242 lei  6-8 săpt.
  Springer Berlin, Heidelberg – 20 noi 2010 60242 lei  6-8 săpt.
Hardback (1) 75083 lei  6-8 săpt.
  Springer Berlin, Heidelberg – 6 iul 2006 75083 lei  6-8 săpt.

Din seria Algorithms and Computation in Mathematics

  • 15% D-Finite Functions
    Preț: 67114 lei
  • 18% Symbolic Integration I: Transcendental Functions
    Preț: 72891 lei
  • Polynomials
    Preț: 48892 lei
  • 15% Symbolic Asymptotics
    Preț: 64300 lei
  • Computational Ergodic Theory
    Preț: 40506 lei
  • Solving Polynomial Equations: Foundations, Algorithms, and Applications
    Preț: 40200 lei
  • 18% Classification Algorithms for Codes and Designs
    Preț: 73869 lei
  • Computing in Algebraic Geometry: A Quick Start using SINGULAR
    Preț: 39797 lei
  • 18% Self-Dual Codes and Invariant Theory
    Preț: 112113 lei
  • 15% Error-Correcting Linear Codes: Classification by Isometry and Applications
    Preț: 49722 lei
  • 20% Discovering Mathematics with Magma: Reducing the Abstract to the Concrete
    Preț: 65636 lei
  • 15% Computational Methods in Commutative Algebra and Algebraic Geometry
    Preț: 47922 lei
  • Binary Quadratic Forms: An Algorithmic Approach
    Preț: 39738 lei
  • 15% Combinatorial Algebraic Topology
    Preț: 59114 lei
  • Rational Algebraic Curves: A Computer Algebra Approach
    Preț: 39335 lei
  • 20% Computability of Julia Sets
    Preț: 33042 lei
  • 18% Involution: The Formal Theory of Differential Equations and its Applications in Computer Algebra
    Preț: 96235 lei
  • 23% Triangulations: Structures for Algorithms and Applications
    Preț: 63832 lei
  • 15% Geometry of Continued Fractions
    Preț: 59655 lei
  • Geometry of Continued Fractions
    Preț: 39815 lei
  • 18% The Gröbner Cover
    Preț: 78698 lei
  • 15% Two Algebraic Byways from Differential Equations: Gröbner Bases and Quivers
    Preț: 70106 lei
  • 18% Topics in Galois Fields
    Preț: 75699 lei
  • 20% Algebraic Aspects of Cryptography
    Preț: 115397 lei
  • 18% Perfect Matchings: A Theory of Matching Covered Graphs
    Preț: 96552 lei
  • 20% Some Tapas of Computer Algebra
    Preț: 34148 lei
  • Graphs, Networks and Algorithms
    Preț: 49924 lei

Preț: 60242 lei

Preț vechi: 70873 lei
-15% Nou

Puncte Express: 904
Preț estimativ în valută:
11529€ • 12021$ • 9581£

Carte tipărită la comandă

Livrare economică 21 martie-04 aprilie

 Adaugă în coș

Wish list
Gift list
Am citit!
Adaugă în listă
Preluare comenzi: 021 569.72.76

Specificații

ISBN-13: 9783642069642
ISBN-10: 3642069649
Pagini: 672
Ilustrații: X, 662 p.
Dimensiuni: 155 x 235 x 35 mm
Greutate: 0.93 kg
Ediția:Softcover reprint of hardcover 2nd ed. 2006
Editura: Springer Berlin, Heidelberg
Colecția Springer
Seria Algorithms and Computation in Mathematics

Locul publicării:Berlin, Heidelberg, Germany

Public țintă

Graduate

Cuprins

Algebraically Closed Fields.- Real Closed Fields.- Semi-Algebraic Sets.- Algebra.- Decomposition of Semi-Algebraic Sets.- Elements of Topology.- Quantitative Semi-algebraic Geometry.- Complexity of Basic Algorithms.- Cauchy Index and Applications.- Real Roots.- Cylindrical Decomposition Algorithm.- Polynomial System Solving.- Existential Theory of the Reals.- Quantifier Elimination.- Computing Roadmaps and Connected Components of Algebraic Sets.- Computing Roadmaps and Connected Components of Semi-algebraic Sets.

Recenzii

From the reviews:
"The monograph gives a self-contained detailed exposition of the algorithmic real algebraic geometry. ... In general, the monograph is well written and will be useful both for beginners and for advanced readers, who work in real algebraic geometry or apply its methods in other fields."
Eugenii I. Shustin, Zbl. MATH 1031.14028
"... The book under review gives a self-contained account of some of the more recent and important algorithms arising in RAG [real algebraic geometry]. ... This material has mostly appeared in other sources; however, it is very nice to have it all in one book. ...the book is wonderful reference for algorithms in RAG, for the expert and non-expert alike."
V.Powers, Mathematical Reviews Clippings from Issue 2004g
From the reviews of the second edition:
"‘Real root counting problem’ is one of the main problems under consideration in Algorithms in Real Algebraic Geometry … . the authors have posted an interactive version of the book on each of their websites. The book attempts to be self-contained and … the authors succeed … . Basu, Pollack, and Roy have written a detailed book with quite a few examples and … bibliographic references. … The websites also contain implementations of several of the algorithms … which this reviewer found particularly illuminating." (Darren Glass, MathDL, January, 2007)
"Algorithms in Real Algebraic Geometry … provides a self-contained treatment of some of the important classical and modern results in semi-algebraic geometry, many authored by some subset of the trio Basu, Pollack, and Roy. … The authors have clearly done a tremendous service by providing a self-contained and surprisingly complete source for the foundations of algorithmic real algebraic geometry. They have also organized their material in a way that can be reasonably taught to graduate students." (J. Maurice Rojas, Foundations ofcomputational Mathematics, Issue 8, 2008)

Textul de pe ultima copertă

The algorithmic problems of real algebraic geometry such as real root counting, deciding the existence of solutions of systems of polynomial equations and inequalities, finding global maxima or deciding whether two points belong in the same connected component of a semi-algebraic set appear frequently in many areas of science and engineering. In this first-ever graduate textbook on the algorithmic aspects of real algebraic geometry, the main ideas and techniques presented form a coherent and rich body of knowledge, linked to many areas of mathematics and computing.
Mathematicians already aware of real algebraic geometry will find relevant information about the algorithmic aspects, and researchers in computer science and engineering will find the required mathematical background.
Being self-contained the book is accessible to graduate students and even, for invaluable parts of it, to undergraduate students.
This revised second edition contains several recent results, notably on discriminants of symmetric matrices, real root isolation, global optimization, quantitative results on semi-algebraic sets and the first single exponential algorithm computing their first Betti number. An index of notation has also been added.

Caracteristici

First graduate textbook on the algorithmic aspects of real algebraic geometry