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Berechnung in Mathematik V 10 Algorithmen in realer algebraischer Geometrie 2010-
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Artikelmerkmale
- Artikelzustand
- Neuwertig
- Hinweise des Verkäufers
- Field of Study
- Mathematics
- Item Height
- 0.6in.
- Educational Level
- Adult & Further Education
- Personalized
- No
- Features
- Revised
- Level
- Advanced
- Country/Region of Manufacture
- Germany
- ISBN
- 9783642069642
Über dieses Produkt
Product Identifiers
Publisher
Springer Berlin / Heidelberg
ISBN-10
3642069649
ISBN-13
9783642069642
eBay Product ID (ePID)
109061872
Product Key Features
Number of Pages
X, 662 Pages
Language
English
Publication Name
Algorithms in Real Algebraic Geometry
Subject
Programming / Algorithms, Computer Science, Algebra / General, Geometry / Algebraic
Publication Year
2010
Type
Textbook
Subject Area
Mathematics, Computers
Series
Algorithms and Computation in Mathematics Ser.
Format
Trade Paperback
Dimensions
Item Weight
35.8 Oz
Item Length
9.3 in
Item Width
6.1 in
Additional Product Features
Edition Number
2
Intended Audience
Scholarly & Professional
Reviews
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 2004gFrom 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 of computational Mathematics, Issue 8, 2008), 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 of computational Mathematics, Issue 8, 2008), 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), From the reviews of the first edition:"Gegenstand des Buches sind zentrale algorithmische Probleme der reellen algebraischen Geometrie. Hierzu zählen beispielsweise die Frage nach der Existenz reeller Lösungen einer (durch polynomiale Gleichungen und Ungleichungen) bestimmten semialgebraischen Menge oder die Frage, ob zwei Punkte zur gleichen Zusammenhangskomponente einer gegebenen semialgebraischen Menge gehören. [...] Eine der Herausforderungen kommt daher, dass hierbei eine Reihe von Teilgebieten der Mathematik und Informatik wie Topologie, algebraische Geometrie, Computeralgebra, Komplexitätstheorie sowie der Entwurf effizienter Algorithmen eng miteinander verzahnt sind und deshalb die Literatur sehr verstreut war. In genau diese Lücke möchte das vorliegende Buch stoßen - und dieses Unterfangen ist den Autoren in beeindruckender Weise gelungen! [...] Das Buch bietet eine sehr zeitgemäße, gelungene Darstellung klassischen sowie aktuellen Materials zu algorithmischen Fragen der reellen algebraischen Geometrie, die in dieser Breite bisher nicht verfügbar war. Besonders auffällig ist die erfolgreiche Absicht der Autoren, eine kohärente und vor allem in sich geschlossene Darstellung zu liefern, die die verschiedenen beteiligten mathematischen Teilgebiete umfassend berücksichtigt. Aufgrund dieser Darstellungsweise bietet das Bcuh zahlreiche Einstiegs- und Verwendungsmöglichkeiten, sowohl in Lehre und Forschung als auch als Nachschlagewerk. Es wird sich schnell als Standardwerk zu dem behandelten Themenkreis etablieren."T.Theobald, Jahresberichte 107, Band (2005) Heft 1
Dewey Edition
22
Series Volume Number
10
Number of Volumes
1 vol.
Illustrated
Yes
Dewey Decimal
516.3/5
Table Of Content
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.
Synopsis
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., This is the first graduate textbook on the algorithmic aspects of real algebraic geometry. 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., This is the first graduate textbook on the algorithmic aspects of real algebraic geometry. The main ideas and techniques presented form a coherent and rich body of knowledge. Mathematicians will find relevant information about the algorithmic aspects.
LC Classification Number
QA564-609
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- c***2 (286)- Bewertung vom Käufer.Letzte 6 MonateBestätigter KaufI received an out of print book at a very nice price. Very carefully packaged and the book arrived earlier than estimated and in exactly the condition described in the initial listing. Highly recommend this seller for antique books. The seller really carefully handles the books and as someone also selling collectibles on eBay, it is nice to see other sellers carefully package items.LISTEN, GERMANY! BY THOMAS MANN (1943, HARDCOVER, FIRST EDITION)- VERY GOOD (Nr. 135473267645)
- b***- (23)- Bewertung vom Käufer.Letzte 6 MonateBestätigter KaufVery detailed and accurate description. I selected the purchase based on the specificity of the description, which addressed the appearance and (lack of) smell of the item—normally sellers don’t mention smell, but it is very important for purchasing very old books, so I appreciated that the seller specifically stated the book had a clean smell (and that the description was accurate). The item was carefully packaged and shipping was fast. Thank you!An Encyclopedia of Fairies: Hobgoblins, Brownies, Bogies,etc. First U.S. ed.1977 (Nr. 133966688118)
- f***f (423)- Bewertung vom Käufer.Letzte 6 MonateBestätigter KaufA+++ Great transaction!!! Item was received in even better condition than described, packaged very meticulously, and shipped VERY FAST. Excellent & friendly communication from seller with shipment updated along the way. Truly a pleasant purchasing experience...Very impressed by this seller! Thanks again, it's much appreciated!!!THE GOOD WIFE SEASONS 5-7 (DVD 18-DISC SET, 2017)-SHIPS FREE (Nr. 135665659326)