General Theory of Algebraic Equations / / Etienne Bézout.
This book provides the first English translation of Bezout's masterpiece, the General Theory of Algebraic Equations. It follows, by almost two hundred years, the English translation of his famous mathematics textbooks. Here, Bézout presents his approach to solving systems of polynomial equation...
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Superior document: | Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Backlist 2000-2013 |
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Place / Publishing House: | Princeton, NJ : : Princeton University Press, , [2009] ©2006 |
Year of Publication: | 2009 |
Edition: | Core Textbook |
Language: | English |
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Physical Description: | 1 online resource (368 p.) |
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Bézout, Etienne, author. aut http://id.loc.gov/vocabulary/relators/aut General Theory of Algebraic Equations / Etienne Bézout. Core Textbook Princeton, NJ : Princeton University Press, [2009] ©2006 1 online resource (368 p.) text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Frontmatter -- Contents -- Translator's Foreword -- Dedication from the 1779 edition -- Preface to the 1779 edition -- Introduction -- Book One -- Book Two restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star This book provides the first English translation of Bezout's masterpiece, the General Theory of Algebraic Equations. It follows, by almost two hundred years, the English translation of his famous mathematics textbooks. Here, Bézout presents his approach to solving systems of polynomial equations in several variables and in great detail. He introduces the revolutionary notion of the "polynomial multiplier," which greatly simplifies the problem of variable elimination by reducing it to a system of linear equations. The major result presented in this work, now known as "Bézout's theorem," is stated as follows: "The degree of the final equation resulting from an arbitrary number of complete equations containing the same number of unknowns and with arbitrary degrees is equal to the product of the exponents of the degrees of these equations." The book offers large numbers of results and insights about conditions for polynomials to share a common factor, or to share a common root. It also provides a state-of-the-art analysis of the theories of integration and differentiation of functions in the late eighteenth century, as well as one of the first uses of determinants to solve systems of linear equations. Polynomial multiplier methods have become, today, one of the most promising approaches to solving complex systems of polynomial equations or inequalities, and this translation offers a valuable historic perspective on this active research field. Issued also in print. Mode of access: Internet via World Wide Web. In English. Description based on online resource; title from PDF title page (publisher's Web site, viewed 30. Aug 2021) MATHEMATICS / Algebra / General. bisacsh Feron, Eric. Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Backlist 2000-2013 9783110442502 print 9780691114323 https://doi.org/10.1515/9781400826964 https://www.degruyter.com/isbn/9781400826964 Cover https://www.degruyter.com/cover/covers/9781400826964.jpg |
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English |
format |
eBook |
author |
Bézout, Etienne, Bézout, Etienne, |
spellingShingle |
Bézout, Etienne, Bézout, Etienne, General Theory of Algebraic Equations / Frontmatter -- Contents -- Translator's Foreword -- Dedication from the 1779 edition -- Preface to the 1779 edition -- Introduction -- Book One -- Book Two |
author_facet |
Bézout, Etienne, Bézout, Etienne, Feron, Eric. |
author_variant |
e b eb e b eb |
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VerfasserIn VerfasserIn |
author2 |
Feron, Eric. |
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e f ef |
author2_role |
TeilnehmendeR |
author_sort |
Bézout, Etienne, |
title |
General Theory of Algebraic Equations / |
title_full |
General Theory of Algebraic Equations / Etienne Bézout. |
title_fullStr |
General Theory of Algebraic Equations / Etienne Bézout. |
title_full_unstemmed |
General Theory of Algebraic Equations / Etienne Bézout. |
title_auth |
General Theory of Algebraic Equations / |
title_alt |
Frontmatter -- Contents -- Translator's Foreword -- Dedication from the 1779 edition -- Preface to the 1779 edition -- Introduction -- Book One -- Book Two |
title_new |
General Theory of Algebraic Equations / |
title_sort |
general theory of algebraic equations / |
publisher |
Princeton University Press, |
publishDate |
2009 |
physical |
1 online resource (368 p.) Issued also in print. |
edition |
Core Textbook |
contents |
Frontmatter -- Contents -- Translator's Foreword -- Dedication from the 1779 edition -- Preface to the 1779 edition -- Introduction -- Book One -- Book Two |
isbn |
9781400826964 9783110442502 9780691114323 |
url |
https://doi.org/10.1515/9781400826964 https://www.degruyter.com/isbn/9781400826964 https://www.degruyter.com/cover/covers/9781400826964.jpg |
illustrated |
Not Illustrated |
dewey-hundreds |
500 - Science |
dewey-tens |
510 - Mathematics |
dewey-ones |
512 - Algebra |
dewey-full |
512.94 |
dewey-sort |
3512.94 |
dewey-raw |
512.94 |
dewey-search |
512.94 |
doi_str_mv |
10.1515/9781400826964 |
oclc_num |
979576704 |
work_keys_str_mv |
AT bezoutetienne generaltheoryofalgebraicequations AT feroneric generaltheoryofalgebraicequations |
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ids_txt_mv |
(DE-B1597)446440 (OCoLC)979576704 |
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hierarchy_parent_title |
Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Backlist 2000-2013 |
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General Theory of Algebraic Equations / |
container_title |
Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Backlist 2000-2013 |
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