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ISBN: 9780387941080

ID: 692780651

The first course in Analysis, which follows calculus, along with other courses, such as differential equations and elementary linear algebra, in the curricu lum, 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, exam ples, 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 narra tives 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. A First Course in Analysis Bücher > Fremdsprachige Bücher > Englische Bücher gebundene Ausgabe 11.03.1994, Springer, .199

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ISBN: 9780387941080

ID: 574820014

The first course in Analysis, which follows calculus, along with other courses, such as differential equations and elementary linear algebra, in the curricu lum, 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, exam ples, 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 narra tives 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. A First Course in Analysis Buch (fremdspr.) Bücher>Fremdsprachige Bücher>Englische Bücher, Springer

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ISBN: 0387941088

Gebundene Ausgabe, [EAN: 9780387941080], Springer, Springer, Book, [PU: Springer], Springer, 56217011, Mathematische Analyse, 56214011, Mathematik, 56047011, Wissenschaft, 54071011, Genres, 52044011, Fremdsprachige Bücher, 56246011, Infinitesimalrechnung, 56230011, Reine Mathematik, 56214011, Mathematik, 56047011, Wissenschaft, 54071011, Genres, 52044011, Fremdsprachige Bücher

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1994, ISBN: 0387941088

ID: 18838254808

[EAN: 9780387941080], Neubuch, [PU: Springer-Verlag New York Inc.], Mathematics|Mathematical Analysis, New Book. Delivered from our US warehouse in 10 to 14 business days. THIS BOOK IS PRINTED ON DEMAND.Established seller since 2000

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1994, ISBN: 0387941088

ID: 19185043535

[EAN: 9780387941080], Neubuch, [PU: Springer], Mathematics|Mathematical Analysis, This item is printed on demand for shipment within 3 working days.

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** Details of the book - A First Course in Analysis**

EAN (ISBN-13): 9780387941080

ISBN (ISBN-10): 0387941088

Hardcover

Publishing year: 2007

Publisher: Springer-Verlag GmbH

306 Pages

Weight: 0,625 kg

Language: eng/Englisch

Book in our database since 15.11.2007 16:39:54

Book found last time on 21.07.2017 09:21:19

ISBN/EAN: 0387941088

ISBN - alternate spelling:

0-387-94108-8, 978-0-387-94108-0

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