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A Short Book on Long Sums

Infinite Series for Calculus Students

Produktform: E-Buch Text Elektronisches Buch in proprietärem

Calculus is about functions, so the book turns on two fundamental ideas: using polynomials to approximate a function and representing a function in terms of simpler functions. The derivative is reinterpreted in terms of linear approximations, which then leads to Taylor polynomials and the question of convergence. Enough of the theory of convergence is developed to allow a more complete understanding of power series and their applications. A final chapter looks at the distant horizon and discusses other kinds of series representations. SageMath, a free open-source mathematics software system, is used throughout to do computations, provide examples, and create many graphs. While most problems do not require SageMath, students are encouraged to use it where appropriate. An instructor’s guide with solutions to all the problems is available.  weiterlesen

Dieser Artikel gehört zu den folgenden Serien

Elektronisches Format: PDF

Sprache(n): Englisch

ISBN: 978-3-031-37557-6 / 978-3031375576 / 9783031375576

Verlag: Springer International Publishing

Erscheinungsdatum: 07.12.2023

Seiten: 145

Autor(en): Fernando Q. Gouvea

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