Calculus and Number Theory

  • Antonio Caminha Muniz Neto
Part of the Problem Books in Mathematics book series (PBM)


In this chapter, we assume that the reader is conversant with the rudiments of Calculus. More precisely, we shall assume from the reader familiarity with convergent sequences and series, as well as with the notions of limits and derivatives of functions.


  1. 1.
    M. Aigner, G. Ziegler, Proofs from THE BOOK (Springer, Heidelberg, 2010)Google Scholar
  2. 2.
    G. Andrews, Number Theory (Dover, Mineola, 1994)Google Scholar
  3. 5.
    T. Apostol, Introduction to Analytic Number Theory (Springer, New York, 1976)Google Scholar
  4. 8.
    A. Caminha, An Excursion Through Elementary Mathematics I - Real Numbers and Functions (Springer, New York, 2017)Google Scholar
  5. 29.
    H.N. Lima, Limites e Funções Aritméticas (in Portuguese). PreprintGoogle Scholar
  6. 33.
    W. Rudin, Principles of Mathematical Analysis, 3rd edn. (McGraw-Hill, Inc., New York, 1976)Google Scholar
  7. 36.
    E. Stein, R. Shakarchi, Fourier Analysis: An Introduction (Princeton University Press, Princeton, 2003)Google Scholar

Copyright information

© Springer International Publishing AG, part of Springer Nature 2018

Authors and Affiliations

  • Antonio Caminha Muniz Neto
    • 1
  1. 1.Universidade Federal do CearáFortalezaBrazil

Personalised recommendations