{"product_id":"9781493967933","title":"Amazing and Aesthetic Aspects of Analysis","description":"\u003ch1\u003eAmazing and Aesthetic Aspects of Analysis\u003c\/h1\u003e \u003ch2\u003eLoya, Paul\u003c\/h2\u003e \u003cp\u003e\u003c\/p\u003e\u003cdiv\u003eLively prose and imaginative exercises draw the reader into this unique introductory real analysis textbook. Motivating the fundamental ideas and theorems that underpin real analysis with historical remarks and well-chosen quotes, the author shares his enthusiasm for the subject throughout. A student reading this book is invited not only to acquire proficiency in the fundamentals of analysis, but to develop an appreciation for abstraction and the language of its expression. \u003c\/div\u003e\u003cdiv\u003e\u003cbr\u003e\u003c\/div\u003e\u003cdiv\u003eIn studying this book, students will encounter:\u003c\/div\u003e\u003cul\u003e\n\u003cli\u003ethe interconnections between set theory and mathematical statements and proofs;\u003cbr\u003e\n\u003c\/li\u003e\n\u003cli\u003ethe fundamental axioms of the natural, integer, and real numbers;\u003cbr\u003e\n\u003c\/li\u003e\n\u003cli\u003erigorous ε-N and ε-δ definitions;\u003cbr\u003e\n\u003c\/li\u003e\n\u003cli\u003econvergence and properties of an infinite series, product, or continued fraction;\u003cbr\u003e\n\u003c\/li\u003e\n\u003cli\u003eseries, product, and continued fraction formulæ for the various elementary functions and constants.\u003cbr\u003e\n\u003c\/li\u003e\n\u003c\/ul\u003eInstructors will appreciate this engaging perspective, showcasing the beauty of these fundamental results. \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Springer\u003c\/p\u003e \u003cp\u003ePublication Date: 2018-05-28\u003c\/p\u003e \u003cp\u003eFormat: Hardcover\u003c\/p\u003e \u003cp\u003eISBN-13: 9781493967933\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/978-1-4939-6795-7\u003c\/p\u003e \u003cp\u003eDimensions: 235cm x155cm\u003c\/p\u003e \u003cp\u003ePages: 722\u003c\/p\u003e ","brand":"Springer New York","offers":[{"title":"Default Title","offer_id":46028386041996,"sku":"9781493967933","price":89.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9781493967933.jpg?v=1776008616","url":"https:\/\/fh90cf-fv.myshopify.com\/products\/9781493967933","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}