{"product_id":"advanced-calculus-isbn-9780471021957","title":"Advanced Calculus","description":"Introduces analysis, presenting analytical proofs backed by geometric intuition and placing minimum reliance on geometric argument. This edition separates continuity and differentiation and expands coverage of integration to include discontinuous functions. The discussion of differentiation of a vector function of a vector variable has been modernized by defining the derivative to be the Jacobian matrix; and, the general form of the chain rule is given, as is the general form of the implicit transformation theorem. CALCULUS OF ONE VARIABLE.\u003cbr\u003e \u003cbr\u003e The Number System.\u003cbr\u003e \u003cbr\u003e Functions, Sequences, and Limits.\u003cbr\u003e \u003cbr\u003e Continuity and More Limits.\u003cbr\u003e \u003cbr\u003e Differentiation.\u003cbr\u003e \u003cbr\u003e Integration.\u003cbr\u003e \u003cbr\u003e The Elementary Transcendental Functions.\u003cbr\u003e \u003cbr\u003e VECTOR CALCULUS.\u003cbr\u003e \u003cbr\u003e Vectors and Curves.\u003cbr\u003e \u003cbr\u003e Functions of Several Variables.\u003cbr\u003e \u003cbr\u003e Limits and Continuity.\u003cbr\u003e \u003cbr\u003e Differential Functions.\u003cbr\u003e \u003cbr\u003e The Inversion Theorem.\u003cbr\u003e \u003cbr\u003e Multiple Integrals.\u003cbr\u003e \u003cbr\u003e Line and Surface Integrals.\u003cbr\u003e \u003cbr\u003e THEORY OF CONVERGENCE.\u003cbr\u003e \u003cbr\u003e Infinite Series.\u003cbr\u003e \u003cbr\u003e Sequence and Series of Functions.\u003cbr\u003e \u003cbr\u003e Uniform Convergence.\u003cbr\u003e \u003cbr\u003e The Taylor Series.\u003cbr\u003e \u003cbr\u003e Improper Integrals.\u003cbr\u003e \u003cbr\u003e Integral Representations of Functions.\u003cbr\u003e \u003cbr\u003e Gamma and Beta Functions.\u003cbr\u003e \u003cbr\u003e Laplace's Method and Stirling's Formula.\u003cbr\u003e \u003cbr\u003e Fourier Series.\u003cbr\u003e \u003cbr\u003e Elementary Differentiation and Integration Formulas.\u003cbr\u003e \u003cbr\u003e Answers, Hints, and Solutions.\u003cbr\u003e \u003cbr\u003e Index. \u003cp\u003e\u003cb\u003eWatson Fulks\u003c\/b\u003e is the author of \u003ci\u003eAdvanced Calculus: An Introduction to Analysis\u003c\/i\u003e, 3rd Edition, published by Wiley.\u003c\/p\u003e","brand":"Wiley","offers":[{"title":"Default Title","offer_id":47988664467685,"sku":"NP9780471021957","price":242.5,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/1842\/7735\/files\/9780471021957.jpg?v=1761781174","url":"https:\/\/k12savings.com\/products\/advanced-calculus-isbn-9780471021957","provider":"K12savings","version":"1.0","type":"link"}