Topology, Calculus and Approximation

AvVilmos Komornik

Häftad, Engelska, 2017

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Beskrivning

Presenting basic results of topology, calculus of several variables, and approximation theory which are rarely treated in a single volume, this textbook includes several beautiful, but almost forgotten, classical theorems of Descartes, Erdos, Fejér, Stieltjes, and Turán.

Produktinformation

Utgivningsdatum:2017-04-10
Mått:155 x 235 x 25 mm
Vikt:626 g
Format:Häftad
Språk:Engelska
Serie:Springer Undergraduate Mathematics Series
Antal sidor:382
Förlag:Springer London Ltd
ISBN:9781447173151
Originaltitel:Précis d'analyse réelle - Topologie - Calcul différentiel - Méthodes d'approximation, vol - 1

Utforska kategorier

Beräkning och matematisk analys inom Naturvetenskap och teknik

Mer om författaren

Vilmos Komornik has studied in Budapest, Hungary, and has taught in Hungary and France for nearly 40 years. His main research fields are control theory of partial differential equations and combinatorial number theory. He has made a number of contributions to the theory of J.L. Lions on exact controllability and stabilization and has co-authored several papers on expansions in noninteger bases with P. Erdős. He is an external member of the Hungarian Academy of Sciences.

Innehållsförteckning

Part 1. Topology.- Chapter 1. Metric spaces.- Chapter 2. Topological spaces.- Chapter 3. Normed spaces.- Part 2. Differential calculus.- Chapter 4. The Derivative.- Chapter 5. Higher-order derivatives.- Chapter 6. Ordinary differential equations.- Chapter 7. Implicit functions and their applications.- Part 3. Approximation methods.- Chapter 8. Interpolation.- Chapter 9. Orthogonal polynomials.- Chapter 10. Numerical integration.- Chapter 11. Finding roots.- Chapter 12. Numerical solution of differential equations.