Algebraic Foundations for Applied Topology and Data Analysis
portes grátis
Algebraic Foundations for Applied Topology and Data Analysis
Schenck, Hal
Springer International Publishing AG
11/2022
224
Dura
Inglês
9783031066634
15 a 20 dias
Descrição não disponível.
Preface.- 1. Linear Algebra Tools for Data Analysis.- 2. Basics of Algebra: Groups, Rings, Modules.- 3. Basics of Topology: Spaces and Sheaves.- 4. Homology I: Simplicial Complexes to Sensor Networks.- 5. Homology II: Cohomology to Ranking Problems.- 6. Persistent Algebra: Modules over a PID.- 7. Persistent Homology.- 8. Multiparameter Persistent Homology.- 9. Derived Functors and Spectral Sequences.- Appendix A. Examples of Software Packages.- Bibliography.
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applied algebra;computational algebra;applied topology;data analysis;algebraic topology;computational mathematics
Preface.- 1. Linear Algebra Tools for Data Analysis.- 2. Basics of Algebra: Groups, Rings, Modules.- 3. Basics of Topology: Spaces and Sheaves.- 4. Homology I: Simplicial Complexes to Sensor Networks.- 5. Homology II: Cohomology to Ranking Problems.- 6. Persistent Algebra: Modules over a PID.- 7. Persistent Homology.- 8. Multiparameter Persistent Homology.- 9. Derived Functors and Spectral Sequences.- Appendix A. Examples of Software Packages.- Bibliography.
Este título pertence ao(s) assunto(s) indicados(s). Para ver outros títulos clique no assunto desejado.
