An Introduction to the Geometry and Topology of Fluid Flows Book

An Introduction to the Geometry and Topology of Fluid Flows, Leading experts present a unique, invaluable introduction to the study of the geometry and typology of fluid flows. From basic motions on curves and surfaces to the recent developments in knots and links, the reader is gradually led to explore the fascina, An Introduction to the Geometry and Topology of Fluid Flows

3.5 out of 5 stars based on 2 reviews

An Introduction to the Geometry and Topology of Fluid Flows
Written by author Renzo L. Ricca
Published by Springer-Verlag New York, LLC, November 2001
Leading experts present a unique, invaluable introduction to the study of the geometry and typology of fluid flows. From basic motions on curves and surfaces to the recent developments in knots and links, the reader is gradually led to explore the fascina
Leading experts present a unique, invaluable introduction to the study of the geometry and typology of fluid flows. From basic motions on curves and surfaces to the recent developments in knots and links, the reader is gradually led to explore the fascina

Buy Digital USD$195.61

Book Categories

Authors

Preface
Photograph of H. K. Moffatt
I Eight Problems for the XXI Century 1
Some Remarks on Topological Fluid Mechanics 3
II Mathematics Background 11
Differential Geometry of Curves and Surfaces 13
Topology in Four Days 35
Elements of Classical Knot Theory 57
An Introduction to Knot Theory 77
Fluid Mechanics and Mathematical Structures 105
III Geometry and Topology of Fluid Flows 135
Introduction to a Geometrical Theory of Fluid Flows and Dynamical Systems 137
Streamline Patterns and their Bifurcations Using Methods from Dynamical Systems 167
Topological Features of Inviscid Flows 183
Geometric and Topological Aspects of Vortex Motion 203
Topology Bounds the Energy 229
Measures of Topological Structure in Magnetic Fields 239
Diffeomorphisms, Braids and Flows 253
Variational Principles, Geometry and Topology of Lagrangian-Averaged Fluid Dynamics 271
IV Reconnections and Singularities 293
The Geometry of Reconnection 295
Euler Singularities from the Lagrangian Viewpoint 313
Analysis of the Candidate Flow for Hydrodynamic Blowup 329
Subject Index 343

Title: An Introduction to the Geometry and Topology of Fluid Flows

Manufacturer:

Steidl Publishing

Item Number: 9781402002069

Publication Date: November 2001

Number: 1

Product Description: An Introduction to the Geometry and Topology of Fluid Flows

Universal Product Code (UPC): 9781402002069

WonderClub Stock Keeping Unit (WSKU): 9781402002069

Rating: 3.5/5 based on 2 Reviews

Image Location: https://wonderclub.com/images/covers/20/69/9781402002069.jpg

Category: Media >> Books

Weight: 0.200 kg (0.44 lbs)

Width: 9.210 cm (3.63 inches)

Heigh : 6.140 cm (2.42 inches)

Depth: 0.810 cm (0.32 inches)

Date Added: August 25, 2020, Added By: Ross

Date Last Edited: August 25, 2020, Edited By: Ross

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$195.61	Digital	Arrives between May 13 - Jun 12 Login to your account for a direct download. Some files are emailed from Dropbox. Continent $0.00 - World $0.00	WonderClub (9296 total ratings)

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Master Young

reviewed An Introduction to the Geometry and Topology of Fluid Flows on January 13, 2014

An Introduction to the Geometry and Topology of Fluid Flows

It was good and packed full of useful information, though I wish it was formated better

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An Introduction to the Geometry and Topology of Fluid Flows, Leading experts present a unique, invaluable introduction to the study of the geometry and typology of fluid flows. From basic motions on curves and surfaces to the recent developments in knots and links, the reader is gradually led to explore the fascina, An Introduction to the Geometry and Topology of Fluid Flows

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An Introduction to the Geometry and Topology of Fluid Flows Book

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	Preface
	Photograph of H. K. Moffatt
I	Eight Problems for the XXI Century	1
	Some Remarks on Topological Fluid Mechanics	3
II	Mathematics Background	11
	Differential Geometry of Curves and Surfaces	13
	Topology in Four Days	35
	Elements of Classical Knot Theory	57
	An Introduction to Knot Theory	77
	Fluid Mechanics and Mathematical Structures	105
III	Geometry and Topology of Fluid Flows	135
	Introduction to a Geometrical Theory of Fluid Flows and Dynamical Systems	137
	Streamline Patterns and their Bifurcations Using Methods from Dynamical Systems	167
	Topological Features of Inviscid Flows	183
	Geometric and Topological Aspects of Vortex Motion	203
	Topology Bounds the Energy	229
	Measures of Topological Structure in Magnetic Fields	239
	Diffeomorphisms, Braids and Flows	253
	Variational Principles, Geometry and Topology of Lagrangian-Averaged Fluid Dynamics	271
IV	Reconnections and Singularities	293
	The Geometry of Reconnection	295
	Euler Singularities from the Lagrangian Viewpoint	313
	Analysis of the Candidate Flow for Hydrodynamic Blowup	329
	Subject Index	343