{"product_id":"a-first-course-in-analysis-von-george-pedrick","title":"A First Course in Analysis","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.\u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9780387941080\"\u003e\u003ch3\u003e\u003c\/h3\u003e\u003c\/div\u003e\u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9781461264354\"\u003e\u003ch3\u003e\u003c\/h3\u003e\u003c\/div\u003e","brand":"Libri","offers":[{"title":"Hardcover - 9780387941080","offer_id":400867983366,"sku":"9780387941080","price":53.49,"currency_code":"EUR","in_stock":true},{"title":"Softcover - 9781461264354","offer_id":39414812868701,"sku":"9781461264354","price":53.49,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/9de2a4ef-80bc-4f64-b8b5-7d5a751da86e.jpg?v=1772082917","url":"https:\/\/shop.autorenwelt.de\/products\/a-first-course-in-analysis-von-george-pedrick","provider":"Autorenwelt Shop","version":"1.0","type":"link"}