Details

Subject(s)

• Hydrodynamics [Browse]
• Topology [Browse]

Related name

• Khesin, Boris A. [Browse]

Series

• Applied mathematical sciences (Springer-Verlag New York Inc.) ; v. 125. [More in this series]
• Applied mathematical sciences ; 125

Summary note

• Topological Methods in Hydrodynamics is the first monograph to treat topological, group-theoretic, and geometric problems of ideal hydrodynamics and magnetohydrodynamics from a unified point of view. The necessary preliminary notions both in hydrodynamics and pure mathematics are described with plenty of examples and figures.
• The book is accessible to graduate students as well as to pure and applied mathematicians working in the fields of hydrodynamics, Lie groups, dynamical systems, and differential geometry.

Bibliographic references

Includes bibliographical references and index.

Contents

• I. Group and Hamiltonian Structures of Fluid Dynamics
• II. Topology of Steady Fluid Flows
• III. Topological Properties of Magnetic and Vorticity Fields
• IV. Differential Geometry of Diffeomorphism Groups
• V. Kinematic Fast Dynamo Problems
• VI. Dynamical Systems with Hydrodynamical Background.

Show 3 more Contents items

ISBN

038794947X (hardcover : alk. paper)

LCCN

97010079

OCLC

36509746

RCP

C - S

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