Abstract calculus : a categorical approach / Francisco Javier García-Pacheco.

By:

García-Pacheco, Francisco Javier [author.]

Material type: Text

TextSeries: Chapman & Hall/CRC monographs and research notes in mathematicsPublisher: Boca Raton, FL ; Abingdon, Oxon : CRC Press, Taylor & Francis Group, 2022Edition: First editionDescription: xx, 375 pages ; 24 cmContent type:

text

Media type:

unmediated

Carrier type:

volume

ISBN:

9780367762209

Subject(s):

Calculus

Additional physical formats: Online version:: Abstract calculusDDC classification:

515 G165a 23

LOC classification:

QA303.2 .G36 2021

Contents:

Functional calculus -- Limits -- Continuity -- Differential calculus -- Differentiability -- Optimization -- Integral calculus -- Summability -- Integrability.

Summary: "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"-- Provided by publisher.

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Holdings
Item type	Current library	Shelving location	Call number	Copy number	Status	Date due	Barcode
Books	Main Library	Circulation Section	CIR 515 G165a 2022 (Browse shelf(Opens below))	1-1	Available		029375

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"-- Provided by publisher.

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