Introduction to Analysis of the Infinite : Book II

Leonard Euler

ISBN 10: 0387971327 / ISBN 13: 9780387971322

Edité par Springer New York, Springer New York, 1989

A propos de cet article

Druck auf Anfrage Neuware - Printed after ordering - Often I have considered the fact that most of the difficulties which block the progress of students trying to learn analysis stem from this: that although they understand little of ordinary algebra, still they attempt this more subtle art. From this it follows not only that they remain on the fringes, but in addition they entertain strange ideas about the concept of the infinite, which they must try to use. Although analysis does not require an exhaustive knowledge of algebra, even of all the algebraic technique so far discovered, still there are topics whose con sideration prepares a student for a deeper understanding. However, in the ordinary treatise on the elements of algebra, these topics are either completely omitted or are treated carelessly. For this reason, I am cer tain that the material I have gathered in this book is quite sufficient to remedy that defect. I have striven to develop more adequately and clearly than is the usual case those things which are absolutely required for analysis. More over, I have also unraveled quite a few knotty problems so that the reader gradually and almost imperceptibly becomes acquainted with the idea of the infinite. There are also many questions which are answered in this work by means of ordinary algebra, although they are usually discussed with the aid of analysis. In this way the interrelationship between the two methods becomes clear.

N° de réf. du vendeur 9780387971322

Détails bibliographiques

• Titre: Introduction to Analysis of the Infinite : Book II
• Éditeur: Springer New York, Springer New York
• Date de parution: 1989
• Langue: anglais
• ISBN à 10 chiffres: 0387971327
• ISBN à 13 chiffres: 9780387971322
• Reliure: Buch
• État de l'article: Neu
• Dimensions: 241 L x 160 H x 33 P (en millimètres) 241 millimètres de largeur par 160 millimètres de hauteur par 33 millimètres de profondeur
• Poids: 939 grammes

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Synopsis

Often I have considered the fact that most of the difficulties which block the progress of students trying to learn analysis stem from this: that although they understand little of ordinary algebra, still they attempt this more subtle art. From this it follows not only that they remain on the fringes, but in addition they entertain strange ideas about the concept of the infinite, which they must try to use. Although analysis does not require an exhaustive knowledge of algebra, even of all the algebraic technique so far discovered, still there are topics whose con- sideration prepares a student for a deeper understanding. However, in the ordinary treatise on the elements of algebra, these topics are either completely omitted or are treated carelessly. For this reason, I am cer- tain that the material I have gathered in this book is quite sufficient to remedy that defect. I have striven to develop more adequately and clearly than is the usual case those things which are absolutely required for analysis. More- over, I have also unraveled quite a few knotty problems so that the reader gradually and almost imperceptibly becomes acquainted with the idea of the infinite. There are also many questions which are answered in this work by means of ordinary algebra, although they are usually discussed with the aid of analysis. In this way the interrelationship between the two methods becomes clear.