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Titre : Elementary analysis : the theory of Calculus Type de document : Guide/Manuel Auteurs : Kenneth A. Ross, Auteur Mention d'édition : 2ème édition Editeur : Berlin, Heidelberg, Vienne, New York, ... : Springer Année de publication : 2013 Collection : Undergraduate Texts in Mathematics UTM, ISSN 0172-6056 Importance : 409 p. ISBN/ISSN/EAN : 978-1-4614-6271-2 Langues : Anglais (eng) Descripteur : [Vedettes matières IGN] Statistiques
[Termes IGN] série mathématique
[Termes IGN] théorème de TaylorRésumé : (Auteur) For over three decades, this best-selling classic has been used by thousands of students in the United States and abroad as a must-have textbook for a transitional course from calculus to analysis. It has proven to be very useful for mathematics majors who have no previous experience with rigorous proofs. Its friendly style unlocks the mystery of writing proofs, while carefully examining the theoretical basis for calculus. Proofs are given in full, and the large number of well-chosen examples and exercises range from routine to challenging.
The second edition preserves the book’s clear and concise style, illuminating discussions, and simple, well-motivated proofs. New topics include material on the irrationality of pi, the Baire category theorem, Newton's method and the secant method, and continuous nowhere-differentiable functions.Note de contenu : - Introduction
- Sequences
- Continuity
- Sequences and Series of Functions
- Differentiation
- Integration
- CapstoneNuméro de notice : 26295 Affiliation des auteurs : non IGN Thématique : MATHEMATIQUE Nature : Manuel de cours DOI : 10.1007/978-1-4614-6271-2 En ligne : https://doi.org/10.1007/978-1-4614-6271-2 Format de la ressource électronique : URL Permalink : https://documentation.ensg.eu/index.php?lvl=notice_display&id=95000
