Klik på en miniature for at gå til Google Books
Indlæser... Basic Concepts of Synthetic Differential Geometryaf René Lavendhomme
Ingen nøgleord Ingen Indlæser...
Bliv medlem af LibraryThing for at finde ud af, om du vil kunne lide denne bog. Der er ingen diskussionstråde på Snak om denne bog. Ingen anmeldelser ingen anmeldelser | tilføj en anmeldelse
Belongs to Series
Starting at an introductory level, the book leads rapidly to important and often new results in synthetic differential geometry. From rudimentary analysis the book moves to such important results as: a new proof of De Rham's theorem; the synthetic view of global action, going as far as the Weil characteristic homomorphism; the systematic account of structured Lie objects, such as Riemannian, symplectic, or Poisson Lie objects; the view of global Lie algebras as Lie algebras of a Lie group in the synthetic sense; and lastly the synthetic construction of symplectic structure on the cotangent bundle in general. Thus while the book is limited to a naive point of view developing synthetic differential geometry as a theory in itself, the author nevertheless treats somewhat advanced topics, which are classic in classical differential geometry but new in the synthetic context. Audience: The book is suitable as an introduction to synthetic differential geometry for students as well as more qualified mathematicians. No library descriptions found. |
Current DiscussionsIngen
Google Books — Indlæser... GenrerMelvil Decimal System (DDC)516.363Natural sciences and mathematics Mathematics Geometry Analytic Geometry Differential and integral GeometryLC-klassificeringVurderingGennemsnit: Ingen vurdering.Er det dig?Bliv LibraryThing-forfatter. |