Using Algebraic Geometry
(Sprache: Englisch)
The discovery of new algorithms for dealing with polynomial equations, and their implementation on fast, inexpensive computers, has revolutionized algebraic geometry and led to exciting new applications in the field. This book details many uses of algebraic...
Leider schon ausverkauft
versandkostenfrei
Buch (Gebunden)
95.18 €
- Lastschrift, Kreditkarte, Paypal, Rechnung
- Kostenlose Rücksendung
- Ratenzahlung möglich
Produktdetails
Produktinformationen zu „Using Algebraic Geometry “
The discovery of new algorithms for dealing with polynomial equations, and their implementation on fast, inexpensive computers, has revolutionized algebraic geometry and led to exciting new applications in the field. This book details many uses of algebraic geometry and highlights recent applications of Grobner bases and resultants. This edition contains two new sections, a new chapter, updated references and many minor improvements throughout.
Klappentext zu „Using Algebraic Geometry “
The discovery of new algorithms for dealing with polynomial equations, and their implementation on fast, inexpensive computers, has revolutionized algebraic geometry and led to exciting new applications in the field. This book details many uses of algebraic geometry and highlights recent applications of Grobner bases and resultants. This edition contains two new sections, a new chapter, updated references and many minor improvements throughout. In recent years, the discovery of new algorithms for dealing with polynomial equations, coupled with their implementation on fast inexpensive computers, has sparked a minor revolution in the study and practice of algebraic geometry. These algorithmic methods have also given rise to some exciting new applications of algebraic geometry. This book illustrates the many uses of algebraic geometry, highlighting some of the more recent applications of Gröbner bases and resultants.The book is written for nonspecialists and for readers with a diverse range of backgrounds. It assumes knowledge of the material covered in a standard undergraduate course in abstract algebra, and it would help to have some previous exposure to Gröbner bases. The book does not assume the reader is familiar with more advanced concepts such as modules.
For the new edition, the authors have added a unified discussion of how matrices can be used to specify monomial orders; a revised presentation of the Mora normal form algorithm; two sections discussing the Gröbner fan of an ideal and the Gröbner Walk basis conversion algorithm; and a new chapter on the theory of order domains, associated codes, and the Berlekamp-Massey-Sakata decoding algorithm. They have also updated the references, improved some of the proofs, and corrected typographical errors.
David Cox is Professor of Mathematics at Amherst College. John Little is Professor of Mathematics at College of the Holy Cross. Donal O Shea is the Elizabeth T. Kennan Professor of Mathematics and Dean ofFaculty
... mehr
at Mt. Holyoke College. These authors also co-wrote the immensely successful book, Ideals, Varieties, and Algorithms.
... weniger
Inhaltsverzeichnis zu „Using Algebraic Geometry “
- Introduction- Solving Polynomial Equations
- Resultants
- Computation in Local Rings
- Modules
- Free Resolutions
- Polytopes, Resultants and Equations
- Integer Programming, Combinatorics and Splines
- Algebraic Coding Theory
- The Berlekamp-Massey-Sakata Decoding Algorithm
Autoren-Porträt von David A. Cox, John B. Little, Donal B. O'Shea
Donal O Shea, geboren 1952, ist Professor für Mathematik am Mount Holyoke College in Massachusetts. Für seine mathematischen Arbeiten zur Theorie der Singularitäten ist er international bekannt geworden. Er hat zahlreiche Forschungsbeiträge veröffentlicht und übersetzt aus dem Russischen und Französischen.
Bibliographische Angaben
- Autoren: David A. Cox , John B. Little , Donal B. O'Shea
- 2005, New ed., 558 Seiten, 24 Schwarz-Weiß-Abbildungen, Maße: 15,5 x 23,6 cm, Gebunden, Englisch
- Verlag: Springer
- ISBN-10: 0387207066
- ISBN-13: 9780387207063
Sprache:
Englisch
Rezension zu „Using Algebraic Geometry “
From the reviews of the second edition: "The book has been very successful. It succeeded in establishing a bridge between modern computer science and classical algebraic geometry." (Gerhard Pfister, Zentralblatt MATH, Vol. 1079, 2006)
"The authors a ] do not expect much from their reader in terms of mathematical prerequisites. a ] This reviewer thinks that the part of the intended audience consisting of graduate students interested in research in computational algebraic geometry will find this to be a very useful book. The many exercises throughout the text, and the mere fact that this is a very good and detailed overview of the subject will definitely make it desirable for this group." (Gizem Karaali, MathDL, September, 2005)
Kommentar zu "Using Algebraic Geometry"
0 Gebrauchte Artikel zu „Using Algebraic Geometry“
Zustand | Preis | Porto | Zahlung | Verkäufer | Rating |
---|
Schreiben Sie einen Kommentar zu "Using Algebraic Geometry".
Kommentar verfassen