*Integration of Differential Forms on Manifolds

  • Vladimir A. Zorich
Part of the Universitext book series (UTX)


This chapter summarizes and formalizes almost the entire material of differential and integral calculus. It unifies analysis, algebra and geometry. We derive the contemporary version of the Newton–Leibniz formula, called the general Stokes formula. It incorporates all fundamental classical integral formulas of analysis (Newton–Leibniz, Green, Gauss–Ostrogradskii, and Stokes formulas).

Copyright information

© Springer-Verlag Berlin Heidelberg 2016

Authors and Affiliations

  • Vladimir A. Zorich
    • 1
  1. 1.Department of MathematicsMoscow State UniversityMoscowRussia

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