{"product_id":"multivariable-calculus","title":"Multivariable Calculus","description":"The YouTube Channel for this book, with a complete set of video lectures and hundreds of video explanations of exercises, is at:\nhttps:\/\/www.youtube.com\/playlist?list=PLGKxWeKRIy4WVzMzL4OB8HVabYagNrkO5\nFor more information, see the book webpage at:\nhttp:\/\/www.math.duke.edu\/~cbray\/mv\/\nThis is a textbook on multivariable calculus, whose target audience is the students in Math 212 at Duke University -- a course in multivariable calculus intended for students majoring in the sciences and engineering. This book has been used in summer offerings of that course several times, taught by Clark Bray.\nIt is intended to fill a gap in the spectrum of multivariable calculus textbooks. It goes beyond books that are oriented around formulas that students can simply memorize, but it does not include the abstraction and rigor that can be found in books that give the most complete and sophisticated presentations of the material.\nThis book would be appropriate for use at any university. It assumes only that the student is proficient in single variable calculus and its prerequisites. The material in this book is developed in a way such that students can see a motivation behind the development, not just the results. The emphasis is on giving students a way to visualize the ideas and see the connections between them, with less emphasis on rigor.\nThe book includes substantial applications, including much discussion of gravitational, electric, and magnetic fields, Maxwell's laws, and the relationships of these physical ideas to the vector calculus theorems of Gauss and Stokes. It also includes a brief discussion of linear algebra, allowing for the discussion of the derivative transformation and Jacobian matrices, which are then used often elsewhere in the book. And there are extensive discussions of multivariable functions and the different ways to represent them geometrically, manipulating multivariable equations and the effects on the solution sets.\u003cbr\u003eASIN: 1482550741\u003cbr\u003eVSKU: GBV.1482550741.G\u003cbr\u003eCondition: Good\u003cbr\u003eAuthor\/Artist:Bray, Clark\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: Book has corner edge dings and or scratches.  \u003cbr\u003e","brand":"Good Books Company","offers":[{"title":"Default Title","offer_id":51875052912945,"sku":"GBV.1482550741.G","price":999.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0914\/3730\/2065\/files\/1482550741-0.jpg?v=1758827060","url":"https:\/\/goodbookscompany.org\/products\/multivariable-calculus","provider":"Good Books Company","version":"1.0","type":"link"}