An elementary multidimensional fundamental theorem of calculus

• Joaquim Bruna ^[1]
  1. [1] Universitat Autònoma de Barcelona

     Universitat Autònoma de Barcelona

     Barcelona, España

     
• Localización: Materials matemàtics, ISSN-e 1887-1097, Nº. 0, 2024
• Idioma: inglés
• Enlaces
  • Texto completo
• Resumen

  • We discuss a version of the fundamental theorem of calculus in several variables and some applications, of potential interest as a teaching material in undergraduate courses.

• Referencias bibliográficas
  • J. Bruna, Analysis in Euclidean Space, Essential Textbooks in Mathematics, World Scientific, November 2022
  • R.M. Fesq, Green’s formula, linear continuity, and Hausdorff measure. Trans. Amer. Math. Soc. 118 (1965), 105-112.
  • S. Lojasiewicz, An introduction to the theory of real functions, WileyInterscience, 1988.
  • W. Rudin, Real and Complex Analysis, Mc Graw-hill, 1987