General theory of algebraic equations /:
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 equatio...
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| Format: | Elektronisch E-Book |
| Sprache: | English French |
| Veröffentlicht: |
Princeton :
Princeton University Press,
©2006.
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| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | 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 stat. |
| Beschreibung: | 1 online resource (xxiv, 337 pages) |
| ISBN: | 9781400826964 1400826969 |
Internformat
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| 240 | 1 | 0 | |a Théorie générale des équations algébriques. |l English |
| 245 | 1 | 0 | |a General theory of algebraic equations / |c Etienne Bézout ; translated by Eric Feron. |
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| 505 | 0 | |a Cover; Title Page; Table of Contents; Translator's Foreword; Dedication from the 1779 edition; Preface to the 1779 edition; Introduction: Theory of differences and sums of quantities; Definitions and preliminary notions; About the way to determine the differences of quantities; A general and fundamental remark; Reductions that may apply to the general rule to differentiate quantities when several differentiations must be made.; Remarks about the differences of decreasing quantities. | |
| 520 | |a 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 stat. | ||
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| author | Bézout, Etienne, 1730-1783 |
| author2 | Feron, Eric, 1967- |
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| contents | Cover; Title Page; Table of Contents; Translator's Foreword; Dedication from the 1779 edition; Preface to the 1779 edition; Introduction: Theory of differences and sums of quantities; Definitions and preliminary notions; About the way to determine the differences of quantities; A general and fundamental remark; Reductions that may apply to the general rule to differentiate quantities when several differentiations must be made.; Remarks about the differences of decreasing quantities. |
| ctrlnum | (OCoLC)697174426 |
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| discipline | Mathematik |
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| illustrated | Not Illustrated |
| indexdate | 2024-11-27T13:17:40Z |
| institution | BVB |
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| language | English French |
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| spelling | Bézout, Etienne, 1730-1783. https://id.oclc.org/worldcat/entity/E39PBJr3mf7FWjWR6KPVYq3fbd http://id.loc.gov/authorities/names/n84805291 Théorie générale des équations algébriques. English General theory of algebraic equations / Etienne Bézout ; translated by Eric Feron. Princeton : Princeton University Press, ©2006. 1 online resource (xxiv, 337 pages) text txt rdacontent computer c rdamedia online resource cr rdacarrier data file Print version record. Cover; Title Page; Table of Contents; Translator's Foreword; Dedication from the 1779 edition; Preface to the 1779 edition; Introduction: Theory of differences and sums of quantities; Definitions and preliminary notions; About the way to determine the differences of quantities; A general and fundamental remark; Reductions that may apply to the general rule to differentiate quantities when several differentiations must be made.; Remarks about the differences of decreasing quantities. 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 stat. Equations, Theory of. http://id.loc.gov/authorities/subjects/sh85044523 Théorie des équations. MATHEMATICS Algebra Elementary. bisacsh MATHEMATICS Algebra General. bisacsh Equations, Theory of fast Algebraische Gleichung gnd http://d-nb.info/gnd/4001162-8 Feron, Eric, 1967- https://id.oclc.org/worldcat/entity/E39PCjtFXCTCQJKh7Xxy6yBK8d http://id.loc.gov/authorities/names/n2005074593 has work: General theory of algebraic equations (Text) https://id.oclc.org/worldcat/entity/E39PCGpdjP9kxHtBPcMCqJh3FC https://id.oclc.org/worldcat/ontology/hasWork Print version: Bézout, Etienne, 1730-1783. Théorie générale des équations algébriques. English. General theory of algebraic equations. Princeton : Princeton University Press, ©2006 0691114323 (DLC) 2005054518 (OCoLC)61881203 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=350051 Volltext |
| spellingShingle | Bézout, Etienne, 1730-1783 General theory of algebraic equations / Cover; Title Page; Table of Contents; Translator's Foreword; Dedication from the 1779 edition; Preface to the 1779 edition; Introduction: Theory of differences and sums of quantities; Definitions and preliminary notions; About the way to determine the differences of quantities; A general and fundamental remark; Reductions that may apply to the general rule to differentiate quantities when several differentiations must be made.; Remarks about the differences of decreasing quantities. Equations, Theory of. http://id.loc.gov/authorities/subjects/sh85044523 Théorie des équations. MATHEMATICS Algebra Elementary. bisacsh MATHEMATICS Algebra General. bisacsh Equations, Theory of fast Algebraische Gleichung gnd http://d-nb.info/gnd/4001162-8 |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85044523 http://d-nb.info/gnd/4001162-8 |
| title | General theory of algebraic equations / |
| title_alt | Théorie générale des équations algébriques. |
| title_auth | General theory of algebraic equations / |
| title_exact_search | General theory of algebraic equations / |
| title_full | General theory of algebraic equations / Etienne Bézout ; translated by Eric Feron. |
| title_fullStr | General theory of algebraic equations / Etienne Bézout ; translated by Eric Feron. |
| title_full_unstemmed | General theory of algebraic equations / Etienne Bézout ; translated by Eric Feron. |
| title_short | General theory of algebraic equations / |
| title_sort | general theory of algebraic equations |
| topic | Equations, Theory of. http://id.loc.gov/authorities/subjects/sh85044523 Théorie des équations. MATHEMATICS Algebra Elementary. bisacsh MATHEMATICS Algebra General. bisacsh Equations, Theory of fast Algebraische Gleichung gnd http://d-nb.info/gnd/4001162-8 |
| topic_facet | Equations, Theory of. Théorie des équations. MATHEMATICS Algebra Elementary. MATHEMATICS Algebra General. Equations, Theory of Algebraische Gleichung |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=350051 |
| work_keys_str_mv | AT bezoutetienne theoriegeneraledesequationsalgebriques AT feroneric theoriegeneraledesequationsalgebriques AT bezoutetienne generaltheoryofalgebraicequations AT feroneric generaltheoryofalgebraicequations |