{"product_id":"introduction-to-the-calculus-of-john-a-burns-9781466571396","title":"Introduction to the Calculus of Variations and Control with Modern Applications","description":"\u003cp\u003e\u003cstrong\u003eIntroduction to the Calculus of Variations and Control with Modern Applications\u003c\/strong\u003e provides the fundamental background required to develop rigorous necessary conditions that are the starting points for theoretical and numerical approaches to modern variational calculus and control problems. The book also presents some classical sufficient conditions and discusses the importance of distinguishing between the necessary and sufficient conditions.\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eIn the first part of the text, the author develops the calculus of variations and provides complete proofs of the main results. He explains how the ideas behind the proofs are essential to the development of modern optimization and control theory. Focusing on optimal control problems, the second part shows how optimal control is a natural extension of the classical calculus of variations to more complex problems.\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eBy emphasizing the basic ideas and their mathematical development, this book gives you the foundation to use these mathematical tools to then tackle new problems. The text moves from simple to more complex problems, allowing you to see how the fundamental theory can be modified to address more difficult and advanced challenges. This approach helps you understand how to deal with future problems and applications in a realistic work environment.\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e John a. Burns\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 146657139X\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9781466571396\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e CRC Press\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 08\/28\/2013\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 562\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Hardcover\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 1.32lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.20h x 6.30w x 0.90d","brand":"John a. Burns","offers":[{"title":"Hardcover","offer_id":48088311955711,"sku":"9781466571396","price":240.0,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_fe7cc2d8-d9a6-4427-8e0f-60ca2bde017f.jpg?v=1769104211","url":"https:\/\/www.whiterainbookhouse.com\/products\/introduction-to-the-calculus-of-john-a-burns-9781466571396","provider":"WR Book House","version":"1.0","type":"link"}