Synopsis
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.
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A First Course in Analysis
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Springer, 2012
ISBN 10 : 1461264359
ISBN 13 : 9781461264354
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Soft cover. Etat : As New. Academic Text. 8vo, yellow and blue softcover wrappers with black text. As New. Textblock is clean and unmarked. Part of the "Undergraduate Texts in Mathematics" series. 278pp. [Science Case - Math]. N° de réf. du vendeur 210462
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A First Course in Analysis (Undergraduate Texts in Mathematics)
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First Course in Analysis
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A First Course in Analysis (Paperback)
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Springer-Verlag New York Inc., New York, NY, 2012
ISBN 10 : 1461264359
ISBN 13 : 9781461264354
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Paperback. Etat : new. Paperback. 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. 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. " Indeed, the course can become more a course in Logic than one in Analysis. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. N° de réf. du vendeur 9781461264354
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First Course in Analysis
Edité par
Springer, 2012
ISBN 10 : 1461264359
ISBN 13 : 9781461264354
Ancien ou d'occasion
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A First Course in Analysis (Undergraduate Texts in Mathematics)
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A First Course in Analysis (Undergraduate Texts in Mathematics)
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Paperback. Etat : New. N° de réf. du vendeur 6666-IUK-9781461264354
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A First Course in Analysis
Edité par
Springer New York Sep 2012, 2012
ISBN 10 : 1461264359
ISBN 13 : 9781461264354
Neuf
Taschenbuch
Vendeur : BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Allemagne
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Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 304 pp. Englisch. N° de réf. du vendeur 9781461264354
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A First Course in Analysis
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Etat : New. pp. 306. N° de réf. du vendeur 2648020375
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A First Course in Analysis
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Etat : New. Print on Demand pp. 306 49:B&W 6.14 x 9.21 in or 234 x 156 mm (Royal 8vo) Perfect Bound on White w/Gloss Lam. N° de réf. du vendeur 44762184
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