Using Algebraic Geometry (Graduate Texts in Mathematics)

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9780387207339: Using Algebraic Geometry (Graduate Texts in Mathematics)

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.

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From the Back Cover:

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. Dona

l O’Shea is the Elizabeth T. Kennan Professor of Mathematics and Dean of Faculty at Mt. Holyoke College. These authors also co-wrote the immensely successful book, Ideals, Varieties, and Algorithms.

Review:

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)

"Sobre este título" puede pertenecer a otra edición de este libro.

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Little, John B.;O'Shea, Donal;Cox, David A.
Editorial: Secaucus, New Jersey, U.S.A.: Springer Verlag (2005)
ISBN 10: 0387207333 ISBN 13: 9780387207339
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Descripción Secaucus, New Jersey, U.S.A.: Springer Verlag, 2005. Soft cover. Estado de conservación: New. Estado de la sobrecubierta: New. 2nd Edition. Low price guarantee! The book is the brand new international edition textbook with the different ISBN and cover design. The book main content black/white printed in full English as same as the corresponding original US edition. Fast shipments will sent out by DHL/UPS or standard post mail with tracking numbers in one to two working days after the orders confirmed. Nº de ref. de la librería ABE-10690673963

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Cox, David A.; Little, John; O'Shea, Donal
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Descripción Springer, 2005. Soft cover. Estado de conservación: New. Estado de la sobrecubierta: New. 2nd Edition. **INTERNATIONAL EDITION** Read carefully before purchase: This book is the international edition in mint condition with the different ISBN and book cover design, the major content is printed in full English as same as the original North American edition. The book printed in black and white, generally send in twenty-four hours after the order confirmed. All shipments contain tracking numbers. Great professional textbook selling experience and expedite shipping service. Nº de ref. de la librería ABE-15469429734

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David A. Cox, John B. Little, Donal O Shea
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Descripción Springer-Verlag New York Inc., United States, 2005. Paperback. Estado de conservación: New. 2nd ed. 2005. Language: English . Brand New Book ***** Print on Demand *****. 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. Nº de ref. de la librería AAV9780387207339

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David A. Cox, John B. Little, Donal O Shea
Editorial: Springer-Verlag New York Inc., United States (2005)
ISBN 10: 0387207333 ISBN 13: 9780387207339
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Descripción Springer-Verlag New York Inc., United States, 2005. Paperback. Estado de conservación: New. 2nd ed. 2005. Language: English . Brand New Book ***** Print on Demand *****.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. Nº de ref. de la librería AAV9780387207339

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David A. Cox
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Descripción Springer-Verlag New York Inc., 2005. PAP. Estado de conservación: New. New Book. Delivered from our UK warehouse in 3 to 5 business days. THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. Nº de ref. de la librería LQ-9780387207339

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Cox, David A.
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Descripción Springer, 2016. Paperback. Estado de conservación: New. PRINT ON DEMAND Book; New; Publication Year 2016; Not Signed; Fast Shipping from the UK. No. book. Nº de ref. de la librería ria9780387207339_lsuk

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DAVID A. COX
Editorial: Springer (2005)
ISBN 10: 0387207333 ISBN 13: 9780387207339
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Descripción Springer, 2005. Paperback. Estado de conservación: NEW. 9780387207339 This listing is a new book, a title currently in-print which we order directly and immediately from the publisher. Nº de ref. de la librería HTANDREE0271777

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David A. Cox
Editorial: Springer Mrz 2005 (2005)
ISBN 10: 0387207333 ISBN 13: 9780387207339
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Descripción Springer Mrz 2005, 2005. Taschenbuch. Estado de conservación: Neu. Neuware - 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. In order to do this, the authors provide an introduction to some algebraic objects and techniques which are more advanced than one typically encounters in a first course, but nonetheless of great utility. 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. 575 pp. Englisch. Nº de ref. de la librería 9780387207339

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