Lecture Notes in Mathematics

Topics in Noncommutative Algebra

The Theorem of Campbell, Baker, Hausdorff and Dynkin

Authors: Bonfiglioli, Andrea, Fulci, Roberta

  • A full historical treatise on the early proofs of the Theorem of Campbell, Baker, Hausdorff and Dynkin is presented here for the first time
  • The book is completely self-contained and accessible to all audiences
  • The book contains the proofs of all the algebraic prerequisites and can also provide a textbook for topics in non-commutative algebra
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eBook $89.00
price for USA (gross)
  • ISBN 978-3-642-22597-0
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $119.00
price for USA
  • ISBN 978-3-642-22596-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
About this book

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, Poincaré, 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.

Table of contents (1 chapters)

  • Some “Short” Proofs of the CBHD Theorem

    Andrea Bonfiglioli, Roberta Fulci

    Pages 173-264

Buy this book

eBook $89.00
price for USA (gross)
  • ISBN 978-3-642-22597-0
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $119.00
price for USA
  • ISBN 978-3-642-22596-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Topics in Noncommutative Algebra
Book Subtitle
The Theorem of Campbell, Baker, Hausdorff and Dynkin
Authors
Series Title
Lecture Notes in Mathematics
Series Volume
2034
Copyright
2012
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-642-22597-0
DOI
10.1007/978-3-642-22597-0
Softcover ISBN
978-3-642-22596-3
Series ISSN
0075-8434
Edition Number
1
Number of Pages
XXII, 539
Number of Illustrations and Tables
5 b/w illustrations
Topics