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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 (Undergraduate Texts in Mathematics)
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A First Course in Analysis
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Hardcover. Condition: Fine. First printing. 24 x 16 cm. 278pp. 62 illustrations, bibliography, index. Bound into glossy boards. Seller Inventory # 80119
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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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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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A First Course in Analysis (Undergraduate Texts in Mathematics)
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Gebundene Ausgabe. Condition: Sehr gut. Auflage: 1994. 279 Seiten Exemplar aus einer wissenchaftlichen Bibliothek Sprache: Englisch Gewicht in Gramm: 969. Seller Inventory # 401687
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A First Course in Analysis (Undergraduate Texts in Mathematics)
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A First Course in Analysis (Hardcover)
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Springer-Verlag New York Inc., New York, NY, 1994
ISBN 10: 0387941088
ISBN 13: 9780387941080
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Hardcover. Condition: new. Hardcover. This is a new text covering advanced calculus. It discusses such topics as number systems, the extreme value problem, continuous functions, differentiation, integration and infinite series. The exposition is generally slower pace than that of most other texts, and it provides many examples which are important to students in a first analysis course. The reader will find that the focus of attention is shifted from the learning and applying of computational techniques to careful reasoning from hypothesis to conclusion. The book is intended both for a terminal course and as preparation for more advanced studies in mathematics, science, engineering and computation. 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. Seller Inventory # 9780387941080
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A First Course in Analysis (Undergraduate Texts in Mathematics).
Seller: Antiquariat Bernhardt, Kassel, Germany
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Karton. Condition: Sehr gut. Zust: Gutes Exemplar. 279 Seiten Englisch 604g. Seller Inventory # 482265
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