2 books found
by Mitchell A. Berger, Renzo L. Ricca, Louis H. Kauffman, Boris Khesin, H. Keith Moffatt, De Witt Sumners
2009 · Springer
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.
A practical workbook that bridges the gap between theory andpractice in the nanotechnology field Because nanosized particles possess unique properties,nanotechnology is rapidly becoming a major interest in engineeringand science. Nanotechnology: Basic Calculations for Engineers andScientists-a logical follow-up to the author's previous text,Nanotechnology: Environmental Implications and Solutions-presents apractical overview of nanotechnology in a unique workbookformat. The author has developed nearly 300 problems that provide a clearunderstanding of this growing field in four distinct areas ofstudy: * Chemistry fundamentals and principles * Particle technology * Applications * Environmental concerns These problems have been carefully chosen to address the mostimportant basic concepts, issues, and applications within eacharea, including such topics as patent evaluation, toxicology,particle dynamics, ventilation, risk assessment, and manufacturing.An introduction to quantum mechanics is also included in theAppendix. These stand-alone problems follow an orderly and logicalprogression designed to develop the reader's technicalunderstanding. "This is certain to become the pacesetter in the field, a text tobenefit both students of all technical disciplines and practicingengineers and researchers." -Dr. Howard Beim, Professor of Chemistry, U.S. Merchant MarineAcademy "Dr. Theodore has covered most of the important nanotechnologysubject matter in this ...work through simple, easy-to-followproblems." -John McKenna, President and CEO, ETS, Inc.