Discriminants, Resultants, and Multidimensional Determinants

Author:   Israel M. Gelfand ,  Mikhail Kapranov ,  Andrei Zelevinsky
Publisher:   Birkhauser Boston Inc
Edition:   Reprint of the 1994 ed. Softcover reprint of the original 1st ed. 1994
ISBN:  

9780817647704


Pages:   523
Publication Date:   16 April 2008
Format:   Paperback
Availability:   Out of print, replaced by POD   Availability explained
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Discriminants, Resultants, and Multidimensional Determinants


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Overview

“This book revives and vastly expands the classical theory of resultants and discriminants. Most of the main new results of the book have been published earlier in more than a dozen joint papers of the authors. The book nicely complements these original papers with many examples illustrating both old and new results of the theory.” Mathematical Reviews “Collecting and extending the fundamental and highly original results of the authors, it presents a unique blend of classical mathematics and very recent developments in algebraic geometry, homological algebra, and combinatorial theory.” Zentralblatt Math                 

Full Product Details

Author:   Israel M. Gelfand ,  Mikhail Kapranov ,  Andrei Zelevinsky
Publisher:   Birkhauser Boston Inc
Imprint:   Birkhauser Boston Inc
Edition:   Reprint of the 1994 ed. Softcover reprint of the original 1st ed. 1994
Dimensions:   Width: 15.50cm , Height: 2.70cm , Length: 23.50cm
Weight:   1.650kg
ISBN:  

9780817647704


ISBN 10:   0817647708
Pages:   523
Publication Date:   16 April 2008
Audience:   College/higher education ,  Professional and scholarly ,  Undergraduate ,  Postgraduate, Research & Scholarly
Format:   Paperback
Publisher's Status:   Active
Availability:   Out of print, replaced by POD   Availability explained
We will order this item for you from a manufatured on demand supplier.

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Reviews

"From the reviews: ""The book has developed into an indispensable modern classic, during the past 15 years, and it has initiated a true avalanche of related research activities due to its pioneering and inspiring impact. The steadily large number of quotations, which seems to be ever-flowing, bespeaks the undiminished pacemaking role of this unrivalled source book in various areas of current mathematical research, ranging from algebraic geometry and the general theory of hypergeometric functions up to their recent applications in mathematical physics... It is and remains the broader, unifying approach combining the classical heritage and the powerful abstract viewpoint of the subject that makes the book under review so timeless, attractive, enlightening, inspiring and virtually invaluable -- a characteristic that will persist for further decades in the future. Besides, the comparatively inexpensive reprint of this classic in paperback form must be seen as another rewarding service to the mathematical community as a whole."" –Zentralblatt Math (Review of the Softcover Edition) ""This book revives and vastly expands the classical theory of resultants and discriminants. Most of the main new results of the book have been published earlier in more than a dozen joint papers of the authors. The book nicely complements these original papers with many examples illustrating both old and new results of the theory.""   –Mathematical Reviews (Review of the Hardcover Edition) ""Collecting and extending the fundamental and highly original results of the authors, it presents a unique blend of classical mathematics and very recent developments in algebraic geometry, homological algebra, and combinatorial theory.""   –Zentralblatt Math (Review of the Hardcover Edition) ""This book is highly recommended if you want to get into the thick of contemporary algebra, or if you wish to find some interesting problem to work on, whose solution will benefit mankind.""   –Gian-Carlo Rota, Advanced Book Reviews (Review of the Hardcover Edition) ""…the book is almost perfectly written, and thus I warmly recommend it not only to scholars but especially to students. The latter do need a text with broader views, which shows that mathematics is not just a sequence of apparently unrelated expositions of new theories, … but instead a very huge and intricate building whose edification may sometimes experience difficulties … but eventually progresses steadily.""   –Bulletin of the American Mathematical Society (Review of the Hardcover Edition) ""It is very much representative of the Gelfand school style. … Discriminants, Resultants, and Multidimensional Determinants is currently the most cited on MathSciNet. A perusal of the long list of citations indicates the enormous influence of the book. Many of the citations are clearly in the framework set up by the book."" (David P. Roberts, The Mathematical Association of America, October, 2009)"


From the reviews: The book has developed into an indispensable modern classic, during the past 15 years, and it has initiated a true avalanche of related research activities due to its pioneering and inspiring impact. The steadily large number of quotations, which seems to be ever-flowing, bespeaks the undiminished pacemaking role of this unrivalled source book in various areas of current mathematical research, ranging from algebraic geometry and the general theory of hypergeometric functions up to their recent applications in mathematical physics... It is and remains the broader, unifying approach combining the classical heritage and the powerful abstract viewpoint of the subject that makes the book under review so timeless, attractive, enlightening, inspiring and virtually invaluable -- a characteristic that will persist for further decades in the future. Besides, the comparatively inexpensive reprint of this classic in paperback form must be seen as another rewarding service to the mathematical community as a whole. --Zentralblatt Math (Review of the Softcover Edition) This book revives and vastly expands the classical theory of resultants and discriminants. Most of the main new results of the book have been published earlier in more than a dozen joint papers of the authors. The book nicely complements these original papers with many examples illustrating both old and new results of the theory. --Mathematical Reviews (Review of the Hardcover Edition) Collecting and extending the fundamental and highly original results of the authors, it presents a unique blend of classical mathematics and very recent developments in algebraic geometry, homological algebra, and combinatorial theory. --Zentralblatt Math (Review of the Hardcover Edition) This book is highly recommended if you want to get into the thick of contemporary algebra, or if you wish to find some interesting problem to work on, whose solution will benefit mankind. --Gian-Carlo Rota, Advanced Book Reviews (Review of the Hardcover Edition) !the book is almost perfectly written, and thus I warmly recommend it not only to scholars but especially to students. The latter do need a text with broader views, which shows that mathematics is not just a sequence of apparently unrelated expositions of new theories, ! but instead a very huge and intricate building whose edification may sometimes experience difficulties ! but eventually progresses steadily. --Bulletin of the American Mathematical Society (Review of the Hardcover Edition) It is very much representative of the Gelfand school style. ! Discriminants, Resultants, and Multidimensional Determinants is currently the most cited on MathSciNet. A perusal of the long list of citations indicates the enormous influence of the book. Many of the citations are clearly in the framework set up by the book. (David P. Roberts, The Mathematical Association of America, October, 2009)


The book has developed into an indispensable modern classic, during the past 15 years, and it has initiated a true avalanche of related research activities due to its pioneering and inspiring impact. The steadily large number of quotations, which seems to be ever-flowing, bespeaks the undiminished pacemaking role of this unrivalled source book in various areas of current mathematical research, ranging from algebraic geometry and the general theory of hypergeometric functions up to their recent applications in mathematical physics... <p>It is and remains the broader, unifying approach combining the classical heritage and the powerful abstract viewpoint of the subject that makes the book under review so timeless, attractive, enlightening, inspiring and virtually invaluable -- a characteristic that will persist for further decades in the future. Besides, the comparatively inexpensive reprint of this classic in paperback form must be seen as another rewarding service to the mathematical community as a whole. a Zentralblatt Math (Review of the Softcover Edition) <p> This book revives and vastly expands the classical theory of resultants and discriminants. Most of the main new results of the book have been published earlier in more than a dozen joint papers of the authors. The book nicely complements these original papers with many examples illustrating both old and new results of the theory. a Mathematical Reviews (Review of the Hardcover Edition) <p> Collecting and extending the fundamental and highly original results of the authors, it presents a unique blend of classical mathematics and very recent developments in algebraic geometry, homological algebra, and combinatorialtheory. a Zentralblatt Math (Review of the Hardcover Edition) <p> This book is highly recommended if you want to get into the thick of contemporary algebra, or if you wish to find some interesting problem to work on, whose solution will benefit mankind. a Gian-Carlo Rota, Advanced Book Reviews (Review of the Hardcover Edition) <p> a ]the book is almost perfectly written, and thus I warmly recommend it not only to scholars but especially to students. The latter do need a text with broader views, which shows that mathematics is not just a sequence of apparently unrelated expositions of new theories, a ] but instead a very huge and intricate building whose edification may sometimes experience difficulties a ] but eventually progresses steadily. a Bulletin of the American Mathematical Society (Review of the Hardcover Edition)


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