Abstract Calculus

Abstract Calculus

A Categorical Approach

Garcia-Pacheco, Francisco Javier

Taylor & Francis Ltd

09/2021

396

Dura

Inglês

9780367762209

15 a 20 dias

890

Descrição não disponível.
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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Functional Calculus;Abstract Calculus;Topological Ring;Countable Dense Subset;Orthogonal Sequence;Topological Module;Boolean Algebra;Measurable Space;Classical Measure Theory;Integrable Domain;Topological Spaces;Pointwise Convergence;Left Multiplication Operator;Probability Measure;Integral Calculus