A First Course in Analysis
Language: English
Published by Springer-Verlag New York Inc., US, 1994
- Hardcover
- New
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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.…
Seller Inventory # LU-9780387941080
- Title
- A First Course in Analysis
- Author
- George Pedrick
- Publisher
- Springer-Verlag New York Inc., US
- Publication year
- 1994
- Condition
- New
- Binding
- Hardback
- Language
- English
- ISBN 10
- 0387941088
- ISBN 13
- 9780387941080
- Edition
- 1994 ed.
- Series
- Book 64 of 170: Undergraduate Texts in Mathematics
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