Abstract calculus : a categorical approach /
García-Pacheco, Francisco Javier,
Abstract calculus : a categorical approach / Francisco Javier García-Pacheco. - First edition. - xx, 375 pages ; 24 cm. - Chapman & Hall/CRC monographs and research notes in mathematics .
Includes bibliographical references and index.
Functional calculus -- Limits -- Continuity -- Differential calculus -- Differentiability -- Optimization -- Integral calculus -- Summability -- Integrability.
"Abstract Calculus: A Categorical Approach provides an abstract approach to calculus. It is intended for graduate students pursuing a Ph.D. in Pure Mathematics, but may also find an interested audience among junior and senior researchers in basically any field of Mathematics and Theoretical Physics. 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, taking the Category 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"--
9780367762209
2021019456
Calculus.
QA303.2 / .G36 2021
515 / G165a
Abstract calculus : a categorical approach / Francisco Javier García-Pacheco. - First edition. - xx, 375 pages ; 24 cm. - Chapman & Hall/CRC monographs and research notes in mathematics .
Includes bibliographical references and index.
Functional calculus -- Limits -- Continuity -- Differential calculus -- Differentiability -- Optimization -- Integral calculus -- Summability -- Integrability.
"Abstract Calculus: A Categorical Approach provides an abstract approach to calculus. It is intended for graduate students pursuing a Ph.D. in Pure Mathematics, but may also find an interested audience among junior and senior researchers in basically any field of Mathematics and Theoretical Physics. 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, taking the Category 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"--
9780367762209
2021019456
Calculus.
QA303.2 / .G36 2021
515 / G165a