Basic Analysis V
Basic Analysis V
Functional Analysis and Topology
Peterson, James K.
Taylor & Francis Ltd
09/2021
574
Dura
Inglês
9781138055131
15 a 20 dias
1179
Descrição não disponível.
I. Introduction. 1. Introduction. II. Some Algebraic Topology. 2. Basic Metric Space Topology. 3. Forms and Curves. 4. The Jordan Curve Theorem. III. Deeper Topological Ideas. 5. Vector Spaces and Topology. 6. Locally Convex Spaces and Seminorms. 7. A New Look at Linear Functionals. 8. Deeper Results on Linear Functionals. 9. Stone-Weierstrass Results. IV. Topological Degree Theory. 10. Brouwer Degree Theory. 11 Leray-Schauder Degree. 12. Coincidence Degree. V. Manifolds. 13. Manifolds. 14. Smooth Functions on Manifolds. 15. The Global Structure of Manifolds. VI. Emerging Topologies. 16. Asynchronous Computation. 17. Signal Models and Autoimmune Disease. 18. Bar Code Computations in Consciousness Models. VII. Summing It All Up. 19. Summing It All Up. VIII. References. IX. Detailed Index.
Este título pertence ao(s) assunto(s) indicados(s). Para ver outros títulos clique no assunto desejado.
Riemann Integral;continuity;Normed Linear Space;differentiability;Topological Vector Spaces;differentiation;Topological Spaces;inequalities;Metric Spaces;integration theory;LRRK2 Mutation;Riemann integration;Open Set;Vector Space;Cauchy Sequences;Convergent Sequence;pMHC Complex;Locally Convex Topological Vector Space;Ordered Vector Space;Continuous Linear Functionals;Cortical Column;Topologically Compact;Jordan Curve Theorem;Sequentially Compact;Minkowski Functional;Weierstrass Approximation Theorem;Brouwer Degree;Smooth Manifold;Cortical Sheet;Cytokine Signal;Normal Topological Space
I. Introduction. 1. Introduction. II. Some Algebraic Topology. 2. Basic Metric Space Topology. 3. Forms and Curves. 4. The Jordan Curve Theorem. III. Deeper Topological Ideas. 5. Vector Spaces and Topology. 6. Locally Convex Spaces and Seminorms. 7. A New Look at Linear Functionals. 8. Deeper Results on Linear Functionals. 9. Stone-Weierstrass Results. IV. Topological Degree Theory. 10. Brouwer Degree Theory. 11 Leray-Schauder Degree. 12. Coincidence Degree. V. Manifolds. 13. Manifolds. 14. Smooth Functions on Manifolds. 15. The Global Structure of Manifolds. VI. Emerging Topologies. 16. Asynchronous Computation. 17. Signal Models and Autoimmune Disease. 18. Bar Code Computations in Consciousness Models. VII. Summing It All Up. 19. Summing It All Up. VIII. References. IX. Detailed Index.
Este título pertence ao(s) assunto(s) indicados(s). Para ver outros títulos clique no assunto desejado.
Riemann Integral;continuity;Normed Linear Space;differentiability;Topological Vector Spaces;differentiation;Topological Spaces;inequalities;Metric Spaces;integration theory;LRRK2 Mutation;Riemann integration;Open Set;Vector Space;Cauchy Sequences;Convergent Sequence;pMHC Complex;Locally Convex Topological Vector Space;Ordered Vector Space;Continuous Linear Functionals;Cortical Column;Topologically Compact;Jordan Curve Theorem;Sequentially Compact;Minkowski Functional;Weierstrass Approximation Theorem;Brouwer Degree;Smooth Manifold;Cortical Sheet;Cytokine Signal;Normal Topological Space