000 -LEADER |
fixed length control field |
03531nam a22005535i 4500 |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
ISBN |
9783642008375 |
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978-3-642-00837-5 |
100 1# - MAIN ENTRY--AUTHOR NAME |
Personal name |
Berger, Mitchell A. |
245 10 - TITLE STATEMENT |
Title |
Lectures on Topological Fluid Mechanics |
Statement of responsibility, etc |
by Mitchell A. Berger, Louis H. Kauffman, Boris Khesin, H. Keith Moffatt, Renzo L. Ricca, De Witt Sumners ; edited by Renzo L. Ricca. |
260 #1 - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
Place of publication |
Berlin, Heidelberg : |
Name of publisher |
Springer Berlin Heidelberg : |
-- |
Imprint: Springer, |
Year of publication |
2009. |
300 ## - PHYSICAL DESCRIPTION |
Number of Pages |
XII, 223 p. |
Other physical details |
online resource. |
490 1# - SERIES STATEMENT |
Series statement |
Lecture Notes in Mathematics, |
505 0# - FORMATTED CONTENTS NOTE |
Formatted contents note |
Braids and Knots -- Topological Quantities: Calculating Winding, Writhing, Linking, and Higher Order Invariants -- Tangles, Rational Knots and DNA -- The Group and Hamiltonian Descriptions of Hydrodynamical Systems -- Singularities in Fluid Dynamics and their Resolution -- Structural Complexity and Dynamical Systems -- Random Knotting: Theorems, Simulations and Applications. |
520 ## - SUMMARY, ETC. |
Summary, etc |
Helmholtz's seminal paper on vortex motion (1858) marks the beginning of what is now called topological fluid mechanics.After 150 years of work, the field has grown considerably. In the last several decades unexpected developments have given topological fluid mechanics new impetus, benefiting from the impressive progress in knot theory and geometric topology on the one hand, and in mathematical and computational fluid dynamics on the other. This volume contains a wide-ranging collection of up-to-date, valuable research papers written by some of the most eminent experts in the field. Topics range from fundamental aspects of mathematical fluid mechanics, including topological vortex dynamics and magnetohydrodynamics, integrability issues, Hamiltonian structures and singularity formation, to DNA tangles and knotted DNAs in sedimentation. A substantial introductory chapter on knots and links, covering elements of modern braid theory and knot polynomials, as well as more advanced topics in knot classification, provides an invaluable addition to this material. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical Term |
Physics. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical Term |
Differentiable dynamical systems. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical Term |
Differential equations, partial. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical Term |
Topology. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical Term |
Thermodynamics. |
650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical Term |
Physics. |
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical Term |
Mechanics, Fluids, Thermodynamics. |
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical Term |
Dynamical Systems and Ergodic Theory. |
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical Term |
Several Complex Variables and Analytic Spaces. |
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical Term |
Topology. |
700 1# - ADDED ENTRY--PERSONAL NAME |
Personal name |
Kauffman, Louis H. |
700 1# - ADDED ENTRY--PERSONAL NAME |
Personal name |
Khesin, Boris. |
700 1# - ADDED ENTRY--PERSONAL NAME |
Personal name |
Moffatt, H. Keith. |
700 1# - ADDED ENTRY--PERSONAL NAME |
Personal name |
Ricca, Renzo L. |
700 1# - ADDED ENTRY--PERSONAL NAME |
Personal name |
Sumners, De Witt. |
700 1# - ADDED ENTRY--PERSONAL NAME |
Personal name |
Ricca, Renzo L. |
856 40 - ELECTRONIC LOCATION AND ACCESS |
Uniform Resource Identifier |
http://dx.doi.org/10.1007/978-3-642-00837-5 |
942 ## - ADDED ENTRY ELEMENTS (KOHA) |
Koha item type |
E-BOOKS |
264 #1 - |
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Berlin, Heidelberg : |
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Springer Berlin Heidelberg : |
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Imprint: Springer, |
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2009. |
336 ## - |
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text |
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txt |
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rdacontent |
337 ## - |
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computer |
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c |
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rdamedia |
338 ## - |
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online resource |
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cr |
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rdacarrier |
347 ## - |
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text file |
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PDF |
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rda |
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE |
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0075-8434 ; |