Abstract Calculus

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  • Abstract Calculus Book Detail

  • Author : Francisco Javier Garcia-Pacheco
  • Release Date : 2021-09-08
  • Publisher : CRC Press
  • Genre : Mathematics
  • Pages : 396
  • ISBN 13 : 1000432262
  • File Size : 83,83 MB

Abstract Calculus by Francisco Javier Garcia-Pacheco PDF Summary

Book Description: Abstract Calculus: A Categorical Approach provides an abstract approach to calculus. It is intended for graduate students pursuing PhDs in pure mathematics but junior and senior researchers in basically any field of mathematics and theoretical physics will also be interested. Any calculus text for undergraduate students majoring in engineering, mathematics or physics deals with the classical concepts of limits, continuity, differentiability, optimization, integrability, summability, and approximation. This book covers the exact same topics, but from a categorical perspective, making the classification of topological modules as the main category involved. Features Suitable for PhD candidates and researchers Requires prerequisites in set theory, general topology, and abstract algebra, but is otherwise self-contained Dr. Francisco Javier García-Pacheco is a full professor and Director of the Departmental Section of Mathematics at the College of Engineering of the University of Cádiz, Spain.

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