{"product_id":"student-solutions-manual-to-accompany-vector-calculus-paperback-softback-9780471725718","title":"Student Solutions Manual to accompany Vector Calculus (Paperback \/ softback) 9780471725718","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eStudent Solutions Manual to accompany Vector Calculus\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cfont size=\"4\"\u003eMiroslav Lovric (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9780471725718, Wiley\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePaperback \/ softback, published 25 September 2007\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e256 pages\u003cbr\u003e27.7 x 20.8 x 1.5 cm, 0.59 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003e\u003cp\u003e\u003cstrong\u003eA comprehensive solutions manual for students using the Vector Calculus text\u003c\/strong\u003e \u003c\/p\u003e\n\u003cp\u003eThis book gives a comprehensive and thorough introduction to ideas and major results of the theory of functions of several variables and of modern vector calculus in two and three dimensions. Clear and easy-to-follow writing style, carefully crafted examples, wide spectrum of applications and numerous illustrations, diagrams, and graphs invite students to use the textbook actively, helping them to both enforce their understanding of the material and to brush up on necessary technical and computational skills. The Student Solutions Manual to Accompany Vector Calculus also pays particular attention to material that some students find challenging, such as the chain rule, Implicit Function Theorem, parametrizations, or the Change of Variables Theorem.\u003c\/p\u003e\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eVectors, Matrices, and Applications 1 \u003cp\u003eVectors 1\u003c\/p\u003e \u003cp\u003eApplications in Geometry and Physics 10\u003c\/p\u003e \u003cp\u003eThe Dot Product 20\u003c\/p\u003e \u003cp\u003eMatrices and Determinants 30\u003c\/p\u003e \u003cp\u003eThe Cross Product 39\u003c\/p\u003e \u003cp\u003eChapter Review 48\u003c\/p\u003e \u003cp\u003eCalculus of Functions of Several Variables 52\u003c\/p\u003e \u003cp\u003eReal-Valued and Vector-Valued Functions of Several Variables 52\u003c\/p\u003e \u003cp\u003eGraph of a Function of Several Variables 62\u003c\/p\u003e \u003cp\u003eLimits and Continuity 76\u003c\/p\u003e \u003cp\u003eDerivatives 93\u003c\/p\u003e \u003cp\u003ePaths and Curves in R[superscript 2]-and R[superscript 3] 112\u003c\/p\u003e \u003cp\u003eProperties of Derivatives 123\u003c\/p\u003e \u003cp\u003eGradient and Directional Derivative 135\u003c\/p\u003e \u003cp\u003eCylindrical and Spherical Coordinate Systems 151\u003c\/p\u003e \u003cp\u003eChapter Review 159\u003c\/p\u003e \u003cp\u003eVector-Valued Functions of One Variable 164\u003c\/p\u003e \u003cp\u003eWorld of Curves 164\u003c\/p\u003e \u003cp\u003eTangents, Velocity, and Acceleration 181\u003c\/p\u003e \u003cp\u003eLength of a Curve 191\u003c\/p\u003e \u003cp\u003eAcceleration and Curvature 200\u003c\/p\u003e \u003cp\u003eIntroduction to Differential Geometry of Curves 209\u003c\/p\u003e \u003cp\u003eChapter Review 215\u003c\/p\u003e \u003cp\u003eScalar and Vector Fields 219\u003c\/p\u003e \u003cp\u003eHigher-Order Partial Derivatives 219\u003c\/p\u003e \u003cp\u003eTaylor's Formula 230\u003c\/p\u003e \u003cp\u003eExtreme Values of Real-Valued Functions 242\u003c\/p\u003e \u003cp\u003eOptimization with Constraints and Lagrange Multipliers 261\u003c\/p\u003e \u003cp\u003eFlow Lines 272\u003c\/p\u003e \u003cp\u003eDivergence and Curl of a Vector Field 278\u003c\/p\u003e \u003cp\u003eImplicit Function Theorem 292\u003c\/p\u003e \u003cp\u003eAppendix: Some Identities of Vector Calculus 298\u003c\/p\u003e \u003cp\u003eChapter Review 302\u003c\/p\u003e \u003cp\u003eIntegration Along Paths 306\u003c\/p\u003e \u003cp\u003ePaths and Parametrizations 306\u003c\/p\u003e \u003cp\u003ePath Integrals of Real-Valued Functions 316\u003c\/p\u003e \u003cp\u003ePath Integrals of Vector Fields 325\u003c\/p\u003e \u003cp\u003ePath Integrals Independent of Path 341\u003c\/p\u003e \u003cp\u003eChapter Review 360\u003c\/p\u003e \u003cp\u003eDouble and Triple Integrals 363\u003c\/p\u003e \u003cp\u003eDouble Integrals: Definition and Properties 363\u003c\/p\u003e \u003cp\u003eDouble Integrals Over General Regions 375\u003c\/p\u003e \u003cp\u003eExamples and Techniques of Evaluation of Double Integrals 394\u003c\/p\u003e \u003cp\u003eChange of Variables in a Double Integral 401\u003c\/p\u003e \u003cp\u003eTriple Integrals 417\u003c\/p\u003e \u003cp\u003eChapter Review 427\u003c\/p\u003e \u003cp\u003eIntegration Over Surfaces, Properties, and Applications of Integrals 431\u003c\/p\u003e \u003cp\u003eParametrized Surfaces 431\u003c\/p\u003e \u003cp\u003eWorld of Surfaces 448\u003c\/p\u003e \u003cp\u003eSurface Integrals of Real-Valued Functions 462\u003c\/p\u003e \u003cp\u003eSurface Integrals of Vector Fields 474\u003c\/p\u003e \u003cp\u003eIntegrals: Properties and Applications 484\u003c\/p\u003e \u003cp\u003eChapter Review 495\u003c\/p\u003e \u003cp\u003eClassical Integration Theorems of Vector Calculus 499\u003c\/p\u003e \u003cp\u003eGreen's Theorem 499\u003c\/p\u003e \u003cp\u003eThe Divergence Theorem 511\u003c\/p\u003e \u003cp\u003eStokes' Theorem 524\u003c\/p\u003e \u003cp\u003eDifferential Forms and Classical Integration Theorems 536\u003c\/p\u003e \u003cp\u003eVector Calculus in Electromagnetism 553\u003c\/p\u003e \u003cp\u003eVector Calculus in Fluid How 566\u003c\/p\u003e \u003cp\u003eChapter Review 576\u003c\/p\u003e \u003cp\u003eVarious Results Used in This Book and Proofs of Differentiation Theorems 581\u003c\/p\u003e \u003cp\u003eAnswers to Odd-Numbered Exercises 590\u003c\/p\u003e \u003cp\u003eIndex 615\u003c\/p\u003e\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Mathematics [\u003ca title=\"See our other books on Mathematics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Mathematics%20%5BPB%5D%22\"\u003ePB\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Wiley","offers":[{"title":"Brand 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