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03725nam a22005055i 4500 |
| 003 - CONTROL NUMBER IDENTIFIER |
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| control field |
OSt |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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| control field |
20140310154226.0 |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION |
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| fixed length control field |
cr nn 008mamaa |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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111010s2012 gw | s |||| 0|eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9783642225970 |
|
978-3-642-22597-0 |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER |
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| Classification number |
QA252.3 |
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| Classification number |
QA387 |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Classification number |
512.55 |
| Edition number |
23 |
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| Classification number |
512.482 |
| Edition number |
23 |
| 264 #1 - |
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| -- |
Berlin, Heidelberg : |
| -- |
Springer Berlin Heidelberg, |
| -- |
2012. |
| 912 ## - |
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| -- |
ZDB-2-SMA |
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|---|
| -- |
ZDB-2-LNM |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
|---|
| Personal name |
Bonfiglioli, Andrea. |
| Relator term |
author. |
| 245 10 - IMMEDIATE SOURCE OF ACQUISITION NOTE |
|---|
| Title |
Topics in Noncommutative Algebra |
| Medium |
[electronic resource] : |
| Remainder of title |
The Theorem of Campbell, Baker, Hausdorff and Dynkin / |
| Statement of responsibility, etc |
by Andrea Bonfiglioli, Roberta Fulci. |
| 300 ## - PHYSICAL DESCRIPTION |
|---|
| Extent |
XXII, 539p. 5 illus. |
| Other physical details |
online resource. |
| 440 1# - SERIES STATEMENT/ADDED ENTRY--TITLE |
|---|
| Title |
Lecture Notes in Mathematics, |
| International Standard Serial Number |
0075-8434 ; |
| Volume number/sequential designation |
2034 |
| 505 0# - FORMATTED CONTENTS NOTE |
|---|
| Formatted contents note |
1 Historical Overview -- Part I Algebraic Proofs of the CBHD Theorem -- 2 Background Algebra -- 3 The Main Proof of the CBHD Theorem -- 4 Some ‘Short’ Proofs of the CBHD Theorem -- 5 Convergence and Associativity for the CBHD Theorem -- 6 CBHD, PBW and the Free Lie Algebras -- Part II Proofs of the Algebraic Prerequisites -- 7 Proofs of the Algebraic Prerequisites -- 8 Construction of Free Lie Algebras -- 9 Formal Power Series in One Indeterminate -- 10 Symmetric Algebra. |
| 520 ## - SUMMARY, ETC. |
|---|
| Summary, etc |
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: 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. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Mathematics. |
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|---|
| Topical term or geographic name as entry element |
Algebra. |
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| Topical term or geographic name as entry element |
Topological Groups. |
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| Topical term or geographic name as entry element |
Global differential geometry. |
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| Topical term or geographic name as entry element |
Mathematics. |
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| Topical term or geographic name as entry element |
Topological Groups, Lie Groups. |
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|---|
| Topical term or geographic name as entry element |
History of Mathematical Sciences. |
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| Topical term or geographic name as entry element |
Non-associative Rings and Algebras. |
|
|---|
| Topical term or geographic name as entry element |
Differential Geometry. |
| 700 1# - ADDED ENTRY--PERSONAL NAME |
|---|
| Personal name |
Fulci, Roberta. |
| Relator term |
author. |
| 710 2# - ADDED ENTRY--CORPORATE NAME |
|---|
| Corporate name or jurisdiction name as entry element |
SpringerLink (Online service) |
| 773 0# - HOST ITEM ENTRY |
|---|
| Title |
Springer eBooks |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY |
|---|
| Display text |
Printed edition: |
| International Standard Book Number |
9783642225963 |
| 856 40 - ELECTRONIC LOCATION AND ACCESS |
|---|
| Uniform Resource Identifier |
http://dx.doi.org/10.1007/978-3-642-22597-0 |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
|---|
| Source of classification or shelving scheme |
|
| Item type |
E-Book |
