{"product_id":"9780486173740","title":"Advanced Calculus","description":"\u003cbr\u003e\"This book is a radical departure from all previous concepts of advanced calculus,\" declared the \u003ci\u003eBulletin of the American Mathematics Society, \u003c\/i\u003e\"and the nature of this departure merits serious study of the book by everyone interested in undergraduate education in mathematics.\" Classroom-tested in a Princeton University honors course, it offers students a unified introduction to advanced calculus. \u003cbr\u003eStarting with an abstract treatment of vector spaces and linear transforms, the authors introduce a single basic derivative in an invariant form. All other derivatives — gradient, divergent, curl, and exterior — are obtained from it by specialization. The corresponding theory of integration is likewise unified, and the various multiple integral theorems of advanced calculus appear as special cases of a general Stokes formula. The text concludes by applying these concepts to analytic functions of complex variables.","brand":"Dover Publications","offers":[{"title":"Default Title","offer_id":47121971970288,"sku":"9780486173740","price":14.49,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0737\/7593\/9824\/files\/9780486173740_p0.jpg?v=1763708467","url":"https:\/\/shop-qa.barnesandnoble.com\/products\/9780486173740","provider":"Barnes \u0026 Noble (DEV)","version":"1.0","type":"link"}