[Télécharger] Understanding Infinity: The Mathematics of Infinite Processes de A. Gardiner Livres Pdf Epub
Télécharger Understanding Infinity: The Mathematics of Infinite Processes de A. Gardiner Livres Pdf Epub
Télécharger "Understanding Infinity: The Mathematics of Infinite Processes" de A. Gardiner PDF Ebook En Ligne
Auteur : A. Gardiner
Catégorie : Livres anglais et étrangers,Science,Mathematics
Broché : * pages
Éditeur : *
Langue : Français, Anglais
Conceived by the author as an introduction to "why the calculus works" (otherwise known as "analysis"), this volume represents a critical reexamination of the infinite processes encountered in elementary mathematics. Part I presents a broad description of the coming parts, and Part II offers a detailed examination of the infinite processes arising in the realm of number--rational and irrational numbers and their representation as infinite decimals. Most of the text is devoted to analysis of specific examples. Part III explores the extent to which the familiar geometric notions of length, area, and volume depend on infinite processes. Part IV defines the evolution of the concept of functions by examining the most familiar examples--polynomial, rational, exponential, and trigonometric functions. Exercises form an integral part of the text, and the author has provided numerous opportunities for students to reinforce their newly acquired skills. Unabridged republication of Infinite Processes as published by Springer-Verlag, New York, 1982. Preface. Advice to the Reader. Index.
Télécharger Understanding Infinity: The Mathematics of Infinite Processes de A. Gardiner Pdf Ebook
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The Real Numbers: An Introduction to Set Theory and ~ In fact, virtually all the concepts of infinite set theory are needed for a proper understanding of the real numbers, and hence of analysis itself. By focusing on the set-theoretic aspects of analysis, this text makes the best of two worlds: it combines a down-to-earth introduction to set theory with an exposition of the essence of analysis—the study of infinite processes on the real numbers.
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