01056nam a2200277 i 450099100016049970753620020506105834.0940207s1983 us ||| | eng 0898745810b10039090-39ule_instLE02614215ExLDip.to Ingegneria dell'Innovazioneita621.319Balabanian, Norman115Electrical network theory /Norman Balabian, Theodore A. Bickart ; with contributions from the work of the late Sundaram SeshuMalabar (Florida) :Krieger,1983xix, 931 p. ;23 cmElettrotecnica - Teoria dei circuitiBickart, Theodore A.Seshu, Sundaram.b1003909021-09-0631-05-02991000160499707536LE026 621.319 BAL 01.01 198312026000002859le026-E0.00-l- 44040.i1004343331-05-02Electrical network theory177188UNISALENTOle02601-01-94ma -engus 0103654nam 2200721Ia 450 991097244650332120200520144314.09786612935428978128293542612829354299781400826964140082696910.1515/9781400826964(CKB)2670000000059261(EBL)617545(OCoLC)697174426(SSID)ssj0000469500(PQKBManifestationID)11299156(PQKBTitleCode)TC0000469500(PQKBWorkID)10531564(PQKB)11410623(DE-B1597)446440(OCoLC)979576704(DE-B1597)9781400826964(Au-PeEL)EBL617545(CaPaEBR)ebr10435959(CaONFJC)MIL293542(PPN)170235769(FR-PaCSA)45003567(MiAaPQ)EBC617545(Perlego)734383(FRCYB45003567)45003567(EXLCZ)99267000000005926120050930d2006 uy 0engurnn#---|u||utxtccrGeneral theory of algebraic equations /Etienne Bezout ; translated by Eric FeronCore TextbookPrinceton Princeton University Pressc20061 online resource (362 p.)Description based upon print version of record.9780691114323 0691114323 Front matter --Contents --Translator's Foreword --Dedication from the 1779 edition --Preface to the 1779 edition --Introduction --Book One --Book TwoThis 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.Equations, Theory ofMathematicsEquations, Theory of.Mathematics.512.9/4SK 230BSZrvkBezout Etienne1730-1783.331688Feron Eric1967-1794727MiAaPQMiAaPQMiAaPQBOOK9910972446503321General theory of algebraic equations4335691UNINA