(Ebook) Abstract Calculus: A Categorical Approach by Francisco Javier Garcia-Pacheco ISBN 9780367762209, 036776220X

(Ebook) Abstract Calculus: A Categorical Approach by Francisco Javier Garcia-Pacheco ISBN 9780367762209, 036776220X

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 researchersRequires prerequisites in set theory, general topology, and abstract algebra, but is otherwise self-containedDr. 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.