{"product_id":"calculus-isbn-9781119778400","title":"Calculus","description":"\u003cp\u003e\u003ci\u003eIn Calculus: Multivariable\u003c\/i\u003e, 12th Edition, an expert team of mathematicians delivers a rigorous and intuitive exploration of calculus, introducing concepts like derivatives and integrals of multivariable functions. Using the Rule of Four, the authors present mathematical concepts from verbal, algebraic, visual, and numerical points of view. The book includes numerous exercises, applications, and examples that help readers learn and retain the concepts discussed within.\u003c\/p\u003e \u003cp\u003ePREFACE ix\u003c\/p\u003e \u003cp\u003eSUPPLEMENTS x\u003c\/p\u003e \u003cp\u003eACKNOWLEDGMENTS xi\u003c\/p\u003e \u003cp\u003eTHE ROOTS OF CALCULUS xv\u003c\/p\u003e \u003cp\u003e\u003cb\u003e11 Three-Dimensional Space; Vector 657\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e11.1 Rectangular Coordinates in 3-Space; Spheres; Cylindrical Surfaces 657\u003c\/p\u003e \u003cp\u003e11.2 Vectors 663\u003c\/p\u003e \u003cp\u003e11.3 Dot Product; Projections 673\u003c\/p\u003e \u003cp\u003e11.4 Cross Product 682\u003c\/p\u003e \u003cp\u003e11.5 Parametric Equations of Lines 692\u003c\/p\u003e \u003cp\u003e11.6 Planes in 3-Space 698\u003c\/p\u003e \u003cp\u003e11.7 Quadric Surfaces 705\u003c\/p\u003e \u003cp\u003e11.8 Cylindrical and Spherical Coordinates 715\u003c\/p\u003e \u003cp\u003e\u003cb\u003e12 Vector-Valued Functions 723\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e12.1 Introduction to Vector-Valued Functions 723\u003c\/p\u003e \u003cp\u003e12.2 Calculus of Vector-Valued Functions 729\u003c\/p\u003e \u003cp\u003e12.3 Change of Parameter; Arc Length 738\u003c\/p\u003e \u003cp\u003e12.4 Unit Tangent, Normal, and Binormal Vectors 746\u003c\/p\u003e \u003cp\u003e12.5 Curvature 751\u003c\/p\u003e \u003cp\u003e12.6 Motion Along a Curve 759\u003c\/p\u003e \u003cp\u003e12.7 Kepler's Laws of Planetary Motion 771\u003c\/p\u003e \u003cp\u003e\u003cb\u003e13 Partial Derivatives 781\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e13.1 Functions of Two or More Variables 781\u003c\/p\u003e \u003cp\u003e13.2 Limits and Continuity 791\u003c\/p\u003e \u003cp\u003e13.3 Partial Derivatives 800\u003c\/p\u003e \u003cp\u003e13.4 Differentiability, Differentials, and Local Linearity 812\u003c\/p\u003e \u003cp\u003e13.5 The Chain Rule 820\u003c\/p\u003e \u003cp\u003e13.6 Directional Derivatives and Gradients 830\u003c\/p\u003e \u003cp\u003e13.7 Tangent Planes and Normal Vectors 840\u003c\/p\u003e \u003cp\u003e13.8 Maxima and Minima of Functions of Two Variables 845\u003c\/p\u003e \u003cp\u003e13.9 Lagrange Multipliers 856\u003c\/p\u003e \u003cp\u003e\u003cb\u003e14 Multiple Integrals 866\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e14.1 Double Integrals 866\u003c\/p\u003e \u003cp\u003e14.2 Double Integrals Over Nonrectangular Regions 873\u003c\/p\u003e \u003cp\u003e14.3 Double Integrals in Polar Coordinates 882\u003c\/p\u003e \u003cp\u003e14.4 Surface Area; Parametric Surfaces 889\u003c\/p\u003e \u003cp\u003e14.5 Triple Integrals 902\u003c\/p\u003e \u003cp\u003e14.6 Triple Integrals in Cylindrical and Spherical Coordinates 909\u003c\/p\u003e \u003cp\u003e14.7 Change of Variables in Multiple Integrals; Jacobians 918\u003c\/p\u003e \u003cp\u003e14.8 Centers of Gravity Using Multiple Integrals 930\u003c\/p\u003e \u003cp\u003e\u003cb\u003e15 Topics in Vector Calculus 942\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e15.1 Vector Fields 942\u003c\/p\u003e \u003cp\u003e15.2 Line Integrals 951\u003c\/p\u003e \u003cp\u003e15.3 Independence of Path; Conservative Vector Fields 966\u003c\/p\u003e \u003cp\u003e15.4 Green's Theorem 976\u003c\/p\u003e \u003cp\u003e15.5 Surface Integrals 983\u003c\/p\u003e \u003cp\u003e15.6 Applications of Surface Integrals; Flux 990\u003c\/p\u003e \u003cp\u003e15.7 The Divergence Theorem 999\u003c\/p\u003e \u003cp\u003e15.8 Stokes' Theorem 1008\u003c\/p\u003e \u003cp\u003e\u003cb\u003eA Appendices\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eA Trigonometry Review (Summary) App-1\u003c\/p\u003e \u003cp\u003eB Functions (Summary) App-8\u003c\/p\u003e \u003cp\u003eC New Functions From Old (Summary) App-11\u003c\/p\u003e \u003cp\u003eD Families of Functions (Summary) App-16\u003c\/p\u003e \u003cp\u003eE Inverse Functions (Summary) App-23\u003c\/p\u003e \u003cp\u003eREADY REFERENCE RR-1\u003c\/p\u003e \u003cp\u003eANSWERS TO ODD-NUMBERED EXERCISES Ans-1\u003c\/p\u003e \u003cp\u003eINDEX Ind-1\u003c\/p\u003e \u003cp\u003e\u003cb\u003eWeb Appendices (online only)\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003eAvailable in WileyPLUS\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eA Trigonometry Review\u003c\/p\u003e \u003cp\u003eB Functions\u003c\/p\u003e \u003cp\u003eC New Functions From Old\u003c\/p\u003e \u003cp\u003eD Families of Functions\u003c\/p\u003e \u003cp\u003eE Inverse Functions\u003c\/p\u003e \u003cp\u003eF Real Numbers, Intervals, and Inequalities\u003c\/p\u003e \u003cp\u003eG Absolute Value\u003c\/p\u003e \u003cp\u003eH Coordinate Planes, Lines, and Linear Functions\u003c\/p\u003e \u003cp\u003eI Distance, Circles, and Quadratic Equations\u003c\/p\u003e \u003cp\u003eJ Solving Polynomial Equations\u003c\/p\u003e \u003cp\u003eK Graphing Functions Using Calculators and Computer Algebra Systems\u003c\/p\u003e \u003cp\u003eL Selected Proofs\u003c\/p\u003e \u003cp\u003eM Early Parametric Equations Option\u003c\/p\u003e \u003cp\u003eN Mathematical Models\u003c\/p\u003e \u003cp\u003eO The Discriminant\u003c\/p\u003e \u003cp\u003eP Second-Order Linear Homogeneous Differential Equations\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter Web Projects: Expanding the Calculus Horizon (online only)\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003eAvailable in WileyPLUS\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eBlammo the Human Cannonball -- Chapter 12\u003c\/p\u003e \u003cp\u003eHurricane Modeling -- Chapter 15\u003c\/p\u003e","brand":"Wiley","offers":[{"title":"Default Title","offer_id":47988877492453,"sku":"NP9781119778400","price":111.0,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/1842\/7735\/files\/9781119778400.jpg?v=1761781882","url":"https:\/\/k12savings.com\/es\/products\/calculus-isbn-9781119778400","provider":"K12savings","version":"1.0","type":"link"}