Abstract calculus : a categorical approach
著者
書誌事項
Abstract calculus : a categorical approach
（Monographs and research notes in mathematics）
Chapman & Hall/CRC, c2022
- hbk.
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注記
Includes bibliographical references (p. 365-370) and index
内容説明・目次
内容説明
Features:
Suitable for PhD candidates and researchers.
Requires prerequisites in set theory, general topology and abstract algebra, but is otherwise self-contained.
目次
I. Functional Calculus. 1. Functions. 1.1. Set Theory. 1.2. Relations. 1.3. Operations. 2. Limits. 2.1. Limits of Filters and Functions. 2.2. Limits of Nets and Sequences. 3. Continuity. 3.1. Types of Continuity. 3.2. Topological Operations. II. Differential Calculus. 4. Differentiability. 4.1 Derivations. 4.2. Derivative. 4.3. Differential Manifolds. 5. Optimization. 5.1. Multiobjective Optimization. 5.2. Convex Optimization. 5.3. Normed Optimization. III. Integral Calculus. 6. Summability. 6.1. Sequences and Series. 6.2. Convergence and Summability Methods. 7. Integrability. 7.1. Measures. 7.2. Integration. IV. Appendix. A. Category Theory. Bibliography. Index.
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