Abstract Calculus: A Categorical Approach

By Francisco Javier Garcia-Pacheco

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 Garc a-Pacheco is a full professor and Director of the Departmental Section of Mathematics at the College of Engineering of the University of C diz, Spain.

• Format: Hardcover
• Language: English
• ISBN: 036776220X
• ISBN13: 9780367762209
• Release Date: September 2021
• Publisher: CRC Press
• Length: 396 Pages
• Weight: 1.61 lbs.
• Dimensions: 0.9" x 6.1" x 9.2"