Sequences and Series

Sequences and Series

Theory and Practice

Louro, Bento; Alves de Sa, Ana

Springer International Publishing AG

11/2024

342

Dura

9783031672019

Pré-lançamento - envio 15 a 20 dias após a sua edição

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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.
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Numerical series;Power series;Taylor series;Solved exercises;Fourier series;Sequences of real numbers;Maclaurin series;Absolute convergence