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English | 2021 | ISBN: 036776220X | 396 pages | True PDF | 7.01 MB
Abstract Calculus: A Categorical Approachprovides an abstract approach to calculus. It is intended for graduate students pursuingPhDs in pure mathematics but junior and senior researchers in basically any field of mathematics and theoretical physics will alsobe 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-Pachecois 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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