LEADER 03548nam 2200613 a 450 001 9910484917103321 005 20200520144314.0 010 $a3-642-22597-7 024 7 $a10.1007/978-3-642-22597-0 035 $a(CKB)2550000000056692 035 $a(SSID)ssj0000611021 035 $a(PQKBManifestationID)11357381 035 $a(PQKBTitleCode)TC0000611021 035 $a(PQKBWorkID)10644631 035 $a(PQKB)11417785 035 $a(DE-He213)978-3-642-22597-0 035 $a(MiAaPQ)EBC3067409 035 $a(PPN)163736294 035 $a(EXLCZ)992550000000056692 100 $a20110830d2012 uy 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aTopics in noncommutative algebra $ethe theorem of Campbell, Baker, Hausdorff and Dynkin /$fAndrea Bonfiglioli, Roberta Fulci 205 $a1st ed. 2012. 210 $aNew York $cSpringer$d2012 215 $a1 online resource (XXII, 539 p. 5 illus.) 225 1 $aLecture notes in mathematics,$x0075-8434 ;$v2034 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-642-22596-9 320 $aIncludes bibliographical references and index. 327 $apt. 1. Algebraic proofs of the theorem of Campbell, Baker, Hausdorff and Dynkin -- pt. 2. Proofs of the algebraic prerequisites. 330 $aMotivated by the importance of the Campbell, Baker, Hausdorff, Dynkin Theorem in many different branches of Mathematics and Physics (Lie group-Lie algebra theory, linear PDEs, Quantum and Statistical Mechanics, Numerical Analysis, Theoretical Physics, Control Theory, sub-Riemannian Geometry), this monograph is intended to: 1) fully enable readers (graduates or specialists, mathematicians, physicists or applied scientists, acquainted with Algebra or not) to understand and apply the statements and numerous corollaries of the main result; 2) provide a wide spectrum of proofs from the modern literature, comparing different techniques and furnishing a unifying point of view and notation; 3) provide a thorough historical background of the results, together with unknown facts about the effective early contributions by Schur, Poincaré, Pascal, Campbell, Baker, Hausdorff and Dynkin; 4) give an outlook on the applications, especially in Differential Geometry (Lie group theory) and Analysis (PDEs of subelliptic type); 5) quickly enable the reader, through a description of the state-of-art and open problems, to understand the modern literature concerning a theorem which, though having its roots in the beginning of the 20th century, has not ceased to provide new problems and applications. The book assumes some undergraduate-level knowledge of algebra and analysis, but apart from that is self-contained. Part II of the monograph is devoted to the proofs of the algebraic background. The monograph may therefore provide a tool for beginners in Algebra. 410 0$aLecture notes in mathematics (Springer-Verlag) ;$v2034. 606 $aNoncommutative algebras 615 0$aNoncommutative algebras. 676 $a512.55 676 $a512.482 686 $a510$2sdnb 686 $aMAT 173f$2stub 686 $aMAT 220f$2stub 686 $aMAT 530f$2stub 686 $aSI 850$2rvk 700 $aBonfiglioli$b Andrea$0327207 701 $aFulci$b Roberta$0514816 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910484917103321 996 $aTopics in noncommutative algebra$9850938 997 $aUNINA