Topology, Calculus and Approximation
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, Erdős, Fejér, Stieltjes, and Turán. The exposition style of Top...
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| Format: | eBook |
| Language: | English |
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London
Springer London
2017, 2017
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| Edition: | 1st ed. 2017 |
| Series: | Springer Undergraduate Mathematics Series
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| Subjects: | |
| Online Access: | |
| Collection: | Springer eBooks 2005- - Collection details see MPG.ReNa |
Table of Contents:
- 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