Einfuhrung in die Geometrie und Topologie - 9783034809856
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Das Buch bietet eine Einfuhrung in die Topologie, Differentialtopologie und Differentialgeometrie. Nach einer Einfuhrung in grundlegende Begriffe und Resultate aus der mengentheoretischen Topologie wird der Jordansche Kurvensatz fur Polygonzuge bewiesen und damit eine erste Idee davon vermittelt, welcher Art tiefere topologische Probleme sind. Im zweiten Kapitel werden Mannigfaltigkeiten und Liesche Gruppen eingefuhrt und an einer Reihe von Beispielen veranschaulicht. Diskutiert werden auch Tangential- und Vektorraumbundel, Differentiale, Vektorfelder und Liesche Klammern von Vektorfeldern. Weiter vertieft wird diese Diskussion im dritten Kapitel, in dem die de Rhamsche Kohomologie und das orientierte Integral eingefuhrt und der Brouwersche Fixpunktsatz, der Jordan-Brouwersche Zerlegungssatz und die Integralformel von Stokes bewiesen werden. Das abschliessende vierte Kapitel ist den Grundlagen der Differentialgeometrie gewidmet. Entlang der Entwicklungslinien, die die Geometrie der Kurven und Untermannigfaltigkeiten in Euklidischen Raumen durchlaufen hat, werden Zusammenhange und Krummung, die zentralen Konzepte der Differentialgeometrie, diskutiert. Den Hoehepunkt bilden die Gaussgleichungen, die Version des theorema egregium von Gauss fur Untermannigfaltigkeiten beliebiger Dimension und Kodimension. In der zweiten Auflage habe ich eine Reihe von Textstellen leicht uberarbeitet und einige Fehler berichtigt.
Good condition -A book that has been read, but is in good condition. Minimal damage to the book cover.The majority of pages are undamaged might be with some creasing or tearing, and pencil underlining of text. No writing in the margins, no missing pages.
Good condition -A book that has been read, but is in good condition. Minimal damage to the book cover.The majority of pages are undamaged might be with some creasing or tearing, and pencil underlining of text. No writing in the margins, no missing pages.
Good condition -A book that has been read, but is in good condition. Minimal damage to the book cover.The majority of pages are undamaged might be with some creasing or tearing, and pencil underlining of text. No writing in the margins, no missing pages.
Good condition -A book that has been read, but is in good condition. Minimal damage to the book cover.The majority of pages are undamaged might be with some creasing or tearing, and pencil underlining of text. No writing in the margins, no missing pages.
Very good condition -A book that has been read and does not look new, but is in excellent condition. Don't have obvious damage to the book cover. No missing or damaged pages, no creases or tears, no underlining or highlighting of text, and no writing in the margins.
Good condition -A book that has been read, but is in good condition. Minimal damage to the book cover.The majority of pages are undamaged might be with some creasing or tearing, and pencil underlining of text. No writing in the margins, no missing pages.
Good condition -A book that has been read, but is in good condition. Minimal damage to the book cover.The majority of pages are undamaged might be with some creasing or tearing, and pencil underlining of text. No writing in the margins, no missing pages.
Good condition -A book that has been read, but is in good condition. Minimal damage to the book cover.The majority of pages are undamaged might be with some creasing or tearing, and pencil underlining of text. No writing in the margins, no missing pages.
Good condition -A book that has been read, but is in good condition. Minimal damage to the book cover.The majority of pages are undamaged might be with some creasing or tearing, and pencil underlining of text. No writing in the margins, no missing pages.
Good condition -A book that has been read, but is in good condition. Minimal damage to the book cover.The majority of pages are undamaged might be with some creasing or tearing, and pencil underlining of text. No writing in the margins, no missing pages.
Good condition -A book that has been read, but is in good condition. Minimal damage to the book cover.The majority of pages are undamaged might be with some creasing or tearing, and pencil underlining of text. No writing in the margins, no missing pages.
Good condition -A book that has been read, but is in good condition. Minimal damage to the book cover.The majority of pages are undamaged might be with some creasing or tearing, and pencil underlining of text. No writing in the margins, no missing pages.
Good condition -A book that has been read, but is in good condition. Minimal damage to the book cover.The majority of pages are undamaged might be with some creasing or tearing, and pencil underlining of text. No writing in the margins, no missing pages.
Very good condition -A book that has been read and does not look new, but is in excellent condition. Don't have obvious damage to the book cover. No missing or damaged pages, no creases or tears, no underlining or highlighting of text, and no writing in the margins.
Good condition -A book that has been read, but is in good condition. Minimal damage to the book cover.The majority of pages are undamaged might be with some creasing or tearing, and pencil underlining of text. No writing in the margins, no missing pages.
Good condition -A book that has been read, but is in good condition. Minimal damage to the book cover.The majority of pages are undamaged might be with some creasing or tearing, and pencil underlining of text. No writing in the margins, no missing pages.
€17.97
New: A new, unread, unused book in perfect condition with no missing or damaged pages. See the ... Read moreabout the conditionNew: A new, unread, unused book in perfect condition with no missing or damaged pages. See the seller's listing for full details. See all condition definitionsopens in a new window or tab
