Topics in Noncommutative Algebra: The Theorem of Campbell, Baker, Hausdorff and Dynkin 2012 Edition Contributor(s): Bonfiglioli, Andrea (Author), Fulci, Roberta (Author) |
|
![]() |
ISBN: 3642225969 ISBN-13: 9783642225963 Publisher: Springer OUR PRICE: $94.99 Product Type: Paperback Published: October 2011 |
Additional Information |
BISAC Categories: - Mathematics | Algebra - Abstract - Mathematics | Geometry - Differential - Mathematics | Group Theory |
Dewey: 510.9 |
Series: Lecture Notes in Mathematics |
Physical Information: 1.15" H x 6.14" W x 9.21" (1.72 lbs) 539 pages |
Descriptions, Reviews, Etc. |
Publisher Description: Motivated 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: 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, provide a wide spectrum of proofs from the modern literature, comparing different techniques and furnishing a unifying point of view and notation, provide a thorough historical background of the results, together with unknown facts about the effective early contributions by Schur, Poincar , Pascal, Campbell, Baker, Hausdorff and Dynkin, give an outlook on the applications, especially in Differential Geometry (Lie group theory) and Analysis (PDEs of subelliptic type) and 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. |