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Topologie: Ein Lehrbuch Von Den Elementaren Grundlagen Bis Zur Homologie Und Kohomologie by Fridtjof Toenniessen

Topologie: Ein Lehrbuch Von Den Elementaren Grundlagen Bis Zur Homologie Und Kohomologie

by Fridtjof Toenniessen
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Book cover type: Paperback
  • ISBN13: 9783662699461
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Springer Spektrum
  • Publisher Imprint: Springer Spektrum
  • Publication Date:
  • Pages: 647
  • Original Price: EUR 37.374
  • Language: German
  • Edition: 2. Auflage 2025
  • Item Weight: 917 grams
  • BISAC Subject(s): Topology

Diese Einführung in die Topologie spannt einen weiten Bogen, von den elementaren Grundlagen über fortgeschrittene Themen der algebraischen Topologie bis hin zu tiefer liegenden Meilensteinen, die im 20. Jahrhundert Furore gemacht haben. Der Text ist durchgängig einfach geschrieben, braucht nur wenig Vorwissen und ist daher gut geeignet ab etwa dem dritten Semester eines mathematischen Bachelorstudiums. Er wurde für die 2. Auflage vollständig durchgesehen, didaktisch und redaktionell überarbeitet sowie in weiten Teilen ergänzt und korrigiert.

Erhalten blieb dabei der aufgelockerte Lesebuch-Charakter. So erfahren Sie bei der Lektüre hie und da historische Fakten oder werden in die Gedankengänge von Mathematikern versetzt, um die Entstehung der Theorie Schritt für Schritt nacherleben zu können. Dabei geht es naturgemä nicht immer geradeaus, manchmal führe ich Sie auf Holzwege, die einerseits zum Nachdenken und zu einer kritischen Reflexion anregen, andererseits aber auch zeigen sollen, dass die Definitionen nicht einfach vom Himmel gefallen sind, sondern sich organisch entwickelt haben. Zahlreiche konkrete Beispiele und fast 400 Abbildungen runden den Stoff ab.

Dr. Fridtjof Toenniessen promovierte in München über komplexe Analysis und algebraische Geometrie. Er ist Professor für Mathematik und Informatik an der Hochschule der Medien in Stuttgart. Im gleichen Verlag ist von ihm erschienen Das Geheimnis der transzendenten Zahlen -Eine etwas andere Einführung in die Mathematik und Die Homotopie der Sphären - eine Einführung in Spektralsequenzen, Lokalisierungen und Kohomologie-Operationen.

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