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Christian Bär

    #ALS und andere Ansichtssachen
    Digitalisierung im Spannungsfeld von Politik, Wirtschaft, Wissenschaft und Recht
    Elementare Differentialgeometrie
    Musikdiskurse
    Differential Characters
    Elementary Differential Geometry
    • 2014

      Differential Characters

      • 200 pages
      • 7 hours of reading

      Providing a systematic introduction to differential characters as introduced by Cheeger and Simons, this text describes important concepts such as fiber integration, higher dimensional holonomy, transgression, and the product structure in a geometric manner. Differential characters form a model of what is nowadays called differential cohomology, which is the mathematical structure behind the higher gauge theories in physics.

      Differential Characters
    • 2010

      Elementary Differential Geometry

      • 334 pages
      • 12 hours of reading

      Focusing on geometric results, this textbook provides an accessible introduction to differential geometry, making it suitable for both courses and self-study. It features clearly articulated arguments and proofs, complemented by colorful illustrations. With over 100 exercises and solutions included, it effectively prepares students for more advanced studies in the field.

      Elementary Differential Geometry