{"product_id":"a-first-course-in-analysis-9781461264354","title":"A First Course in Analysis","description":"\u003cp\u003e • Author(s): George Pedrick\u003cbr\u003e • Publisher: Springer\u003cbr\u003e • Publisher Imprint: Springer\u003cbr\u003e • BISAC: Calculus\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eThe 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.\u003c\/p\u003e","brand":"Springer","offers":[{"title":"Paperback","offer_id":45282444509335,"sku":"9781461264354","price":3672.0,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0666\/3471\/1191\/files\/9781461264354.webp?v=1769302167","url":"https:\/\/atlanticbooks.com\/products\/a-first-course-in-analysis-9781461264354","provider":"Atlantic Books","version":"1.0","type":"link"}