Articles liés à Mathematical Analysis: Approximation and Discrete Processes
Synopsis
* Embraces a broad range of topics in analysis requiring only a sound knowledge of calculus and the functions of one variable.
* Filled with beautiful illustrations, examples, exercises at the end of each chapter, and a comprehensive index.
Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.
Présentation de l'éditeur
This superb and self-contained work is an introductory presentation of basic ideas, structures, and results of differential and integral calculus for functions of several variables. The wide range of topics covered include the differential calculus of several variables, including that of Banach spaces.
Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.
- ÉditeurBirkhauser Boston Inc
- Date d'édition2004
- ISBN 10 0817643133
- ISBN 13 9780817643133
- ReliureRelié
- Langueanglais
- Nombre de pages388
- Coordonnées du fabricantnon disponible
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ISBN 10 : 0817643133
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Birkhäuser Boston Apr 2004, 2004
ISBN 10 : 0817643133
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Edité par
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ISBN 10 : 0817643133
ISBN 13 : 9780817643133
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Mathematical Analysis : Approximation and Discrete Processes
Edité par
Birkhäuser Boston, Birkhäuser Boston, 2004
ISBN 10 : 0817643133
ISBN 13 : 9780817643133
Neuf
Couverture rigide
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Évaluation du vendeur 5 sur 5 étoiles
Buch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - This volume! aims at introducing some basic ideas for studying approxima tion processes and, more generally, discrete processes. The study of discrete processes, which has grown together with the study of infinitesimal calcu lus, has become more and more relevant with the use of computers. The volume is suitably divided in two parts. In the first part we illustrate the numerical systems of reals, of integers as a subset of the reals, and of complex numbers. In this context we intro duce, in Chapter 2, the notion of sequence which invites also a rethinking of the notions of limit and continuity2 in terms of discrete processes; then, in Chapter 3, we discuss some elements of combinatorial calculus and the mathematical notion of infinity. In Chapter 4 we introduce complex num bers and illustrate some of their applications to elementary geometry; in Chapter 5 we prove the fundamental theorem of algebra and present some of the elementary properties of polynomials and rational functions, and of finite sums of harmonic motions. In the second part we deal with discrete processes, first with the process of infinite summation, in the numerical case, i.e., in the case of numerical series in Chapter 6, and in the case of power series in Chapter 7. The last chapter provides an introduction to discrete dynamical systems; it should be regarded as an invitation to further study. N° de réf. du vendeur 9780817643133
Quantité disponible : 1 disponible(s)