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{ "item_title" : "A First Course in Analysis", "item_author" : [" George Pedrick "], "item_description" : "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.", "item_img_path" : "https://covers3.booksamillion.com/covers/bam/1/46/126/435/1461264359_b.jpg", "price_data" : { "retail_price" : "54.99", "online_price" : "54.99", "our_price" : "54.99", "club_price" : "54.99", "savings_pct" : "0", "savings_amt" : "0.00", "club_savings_pct" : "0", "club_savings_amt" : "0.00", "discount_pct" : "10", "store_price" : "" } }
A First Course in Analysis|George Pedrick

A First Course in Analysis

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Overview

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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Details

  • ISBN-13: 9781461264354
  • ISBN-10: 1461264359
  • Publisher: Springer
  • Publish Date: September 2012
  • Dimensions: 9.21 x 6.14 x 0.64 inches
  • Shipping Weight: 0.95 pounds
  • Page Count: 279

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