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Topology, Calculus and Approximation
37,44 €*
ISBN-13:
9781447173168
Veröffentl:
2017
Seiten:
382
Autor:
Vilmos Komornik
Serie:
Springer Undergraduate Mathematics Series
eBook Typ:
PDF
eBook Format:
EPUB
Kopierschutz:
1 - PDF Watermark
Sprache:
Englisch
Beschreibung:
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.
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.