{"product_id":"a-first-course-in-the-calculus-of-variations-student-mathematical-library","title":"A First Course in the Calculus of Variations (Student Mathematical Library)","description":"This book is intended for a first course in the calculus of variations, at the senior or beginning graduate level. The reader will learn methods for finding functions that maximize or minimize integrals. The text lays out important necessary and sufficient conditions for extrema in historical order, and it illustrates these conditions with numerous worked-out examples from mechanics, optics, geometry, and other fields. The exposition starts with simple integrals containing a single independent variable, a single dependent variable, and a single derivative, subject to weak variations, but steadily moves on to more advanced topics, including multivariate problems, constrained extrema, homogeneous problems, problems with variable endpoints, broken extremals, strong variations, and sufficiency conditions. Numerous line drawings clarify the mathematics. Each chapter ends with recommended readings that introduce the student to the relevant scientific literature and with exercises that consolidate understanding.\u003cbr\u003eASIN: 1470414953\u003cbr\u003eVSKU: DBV.1470414953.G\u003cbr\u003eCondition: Good\u003cbr\u003eAuthor\/Artist:Mark Kot\u003cbr\u003eBinding: Paperback\u003cbr\u003e\u003cb\u003eNote:\u003c\/b\u003e Any images shown are stock photographs and product may differ from what is shown.  \u003cbr\u003e\u003cb\u003eCondition Notes\u003c\/b\u003e: Gently used with minimal wear on the corners and cover. A few pages may contain light highlighting or writing, but the text remains fully legible. Dust jacket may be missing, and supplemental materials like CDs or codes may not be included. May be ex-library with library markings. Ships promptly!  \u003cbr\u003e","brand":"Dream Books Co.","offers":[{"title":"Default Title","offer_id":41449712287802,"sku":"DBV.1470414953.G","price":43.5,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0555\/6011\/0138\/files\/1470414953-0.jpg?v=1780897031","url":"https:\/\/shop.dreambooksco.com\/products\/a-first-course-in-the-calculus-of-variations-student-mathematical-library","provider":"Dream Books Co.","version":"1.0","type":"link"}