Sequences and Series Theory and Practice /
This book investigates sequences and series with a clear and focused approach, presenting key theoretical concepts alongside a diverse range of examples and proposed problems, complete with solutions. It is designed to be largely self-contained, offering formal proofs when they enhance understanding...
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| Main Authors: | , |
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| Korporativna značnica: | |
| Format: | Elektronski eKnjiga |
| Jezik: | angleščina |
| Izdano: |
Cham :
Springer Nature Switzerland : Imprint: Springer,
2024.
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| Izdaja: | 1st ed. 2024. |
| Teme: | |
| Online dostop: | https://doi.org/10.1007/978-3-031-67202-6 |
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Kazalo:
- Sequences
- Sequences of Real Numbers
- Solved Exercises
- Proposed Exercises
- Numerical Series
- Generalization of the Addition Operation
- Series Definition. Convergence. General Properties
- Alternating Series
- Absolute Convergence
- Series of Non-Negative Terms
- Multiplication of Series
- Solved Exercises
- Proposed Exercises
- Series of Functions
- Introduction. Sequences of Functions - Pointwise Convergence and Uniform Convergence of Series of Functions - Power Series - Taylor Series and Maclaurin Series - Introduction to Fourier Series - Solved Exercises - Proposed Exercises
- Additional Proofs
- Sequences of Real Numbers
- Solutions to Proposed Exercises
- Bibliography
- Index.