New problems in differential geometry

Author(s)

• Rahula, Maido

Bibliographic Information

New problems in differential geometry

Maido Rahula

（Series on Soviet and East European mathematics, v. 8）

World Scientific, c1993

Note

Includes index

Description and Table of Contents

Description

The main theme of this book is the geometrical interpretation of phenomena taking place in Jet spaces in connection with differential equations. This concise volume caters to all mathematicians who wish to deepen their acquaintance with the mathematics of differential geometry.

Table of Contents

• Part 1 Invariant differentiation: vector fields, trajectories, invariants
• lie differentiation in non-holonomic basis
• the first appendixes. Part 2 Connection in the bundle: translation of fibres
• linear connections, morphism of the bundles with the connections. Part 3 Ordinary differential equations: operator of total differentiation
• lie fields and symmetries of equations
• lighting of surfaces. Part 4 Partial differential equations: general constructions
• characteristics of equations
• Hamilton formalism. Part 5 Open problems: polynomial maps
• iterations of the tangent functor
• geometry of catastrophes.

by "Nielsen BookData"

Details

• NCID: BA21593811
• ISBN:
  • 9810208197
• Country Code: si
• Title Language Code: eng
• Text Language Code: eng
• Place of Publication: Singapore
• Pages/Volumes: xix, 171 p.
• Size: 23 cm
• Classification:
  • NDC8 : 414.7
• Subject Headings:
  • LCSH : Geometry, Differential
• Parent Bibliography ID:
  • BA14271032