New Problems In Differential Geometry

Maido Rahula (Autor)

Buch | Hardcover

192 Seiten

1993
World Scientific Publishing Co Pte Ltd (Verlag)
978-981-02-0819-6 (ISBN)

Infos

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

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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.

Inhalt

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.

Produkt-Details

• Erscheint lt. Verlag: 1.11.1993
• Reihe/Serie: Series On Soviet And East European Mathematics ; 8
• Verlagsort: Singapore
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
• ISBN-10: 981-02-0819-7 / 9810208197
• ISBN-13: 978-981-02-0819-6 / 9789810208196
• Zustand: Neuware