A First Course in Analysis:
Gespeichert in:
Bibliographische Detailangaben
1. Verfasser: Pedrick, George (VerfasserIn)
Format: Elektronisch E-Book
Sprache:English
Veröffentlicht: New York, NY Springer New York 1994
Schriftenreihe:Undergraduate Texts in Mathematics
Schlagworte:
Online-Zugang:Volltext
Beschreibung:The first course in Analysis, which follows calculus, along with other courses, such as differential equations and elementary linear algebra, in the curriculum, presents special pedagogical challenges. There is a change of stress from computational manipulation to "proof. " Indeed, the course can become more a course in Logic than one in Analysis. Many students, caught short by a weak command of the means of mathematical discourse and unsure of what is expected of them, what "the game" is, suffer bouts of a kind of mental paralysis. This text attempts to address these problems in several ways: First, we have attempted to define "the game" as that of "inquiry," by using a form of exposition that begins with a question and proceeds to analyze, ultimately to answer it, bringing in definitions, arguments, conjectures, examples, etc. , as they arise naturally in the course of a narrative discussion of the question. (The true, historical narrative is too convoluted to serve for first explanations, so no attempt at historical accuracy has been made; our narratives are completely contrived. ) Second, we have kept the logic informal, especially in the course of preliminary speculative discussions, where common sense and plausibility­ tempered by mild skepticism- serve to energize the inquiry
Beschreibung:1 Online-Ressource (XXI, 279 p)
ISBN:9781441985545
9781461264354
ISSN:0172-6056
DOI:10.1007/978-1-4419-8554-5

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