{"product_id":"calculus-multivariable-isbn-9780470453599","title":"Calculus Multivariable","description":"\u003cp\u003eBlank and Krantz's \u003cb\u003eCalculus 2e\u003c\/b\u003e brings together time-tested methods and innovative thinking to address the needs of today's students, who come from a wide range of backgrounds and look ahead to a variety of futures. Using meaningful examples, credible applications, and incisive technology, Blank and Krantz's \u003cb\u003eCalculus 2e\u003c\/b\u003e strives to empower students, enhance their critical thinking skills, and equip them with the knowledge and skills to succeed in the major or discipline they ultimately choose to study. Blank and Krantz’s engaging style and clear writing make the language of mathematics accessible, understandable and enjoyable, while maintaining high standards for mathematical rigor.\u003c\/p\u003e \u003cp\u003eBlank and Krantz's \u003cb\u003eCalculus 2e\u003c\/b\u003e is available with WileyPLUS, an online teaching and learning environment initially developed for Calculus and Differential Equations courses. WileyPLUS integrates the complete digital textbook with powerful student and instructor resources as well as online auto-graded homework.\u003c\/p\u003e  Preface.  \u003cp\u003eSupplementary Resources.\u003c\/p\u003e \u003cp\u003eAcknowledgments.\u003c\/p\u003e \u003cp\u003eAbout the Authors.\u003c\/p\u003e \u003cp\u003eC H A P T E R 9 Vectors.\u003c\/p\u003e \u003cp\u003ePreview.\u003c\/p\u003e \u003cp\u003e1 Vectors in the Plane.\u003c\/p\u003e \u003cp\u003e2 Vectors in Three-Dimensional Space.\u003c\/p\u003e \u003cp\u003e3 The Dot Product and Applications.\u003c\/p\u003e \u003cp\u003e4 The Cross Product and Triple Product.\u003c\/p\u003e \u003cp\u003e5 Lines and Planes in Space.\u003c\/p\u003e \u003cp\u003eSummary of Key Topics.\u003c\/p\u003e \u003cp\u003eReview Exercises.\u003c\/p\u003e \u003cp\u003eGenesis \u0026amp; Development 9.\u003c\/p\u003e \u003cp\u003eC H A P T E R 1 0 Vector-Valued Functions.\u003c\/p\u003e \u003cp\u003ePreview.\u003c\/p\u003e \u003cp\u003e1 Vector-Valued Functions—Limits, Derivatives, and Continuity.\u003c\/p\u003e \u003cp\u003e2 Velocity and Acceleration.\u003c\/p\u003e \u003cp\u003e3 Tangent Vectors and Arc Length.\u003c\/p\u003e \u003cp\u003e4 Curvature.\u003c\/p\u003e \u003cp\u003e5 Applications of Vector-Valued Functions to Motion.\u003c\/p\u003e \u003cp\u003eSummary of Key Topics.\u003c\/p\u003e \u003cp\u003eReview Exercises.\u003c\/p\u003e \u003cp\u003eGenesis \u0026amp; Development 10.\u003c\/p\u003e \u003cp\u003eC H A P T E R 1 1 Functions of Several Variables.\u003c\/p\u003e \u003cp\u003ePreview.\u003c\/p\u003e \u003cp\u003e1 Functions of Several Variables.\u003c\/p\u003e \u003cp\u003e2 Cylinders and Quadric Surfaces.\u003c\/p\u003e \u003cp\u003e3 Limits and Continuity.\u003c\/p\u003e \u003cp\u003e4 Partial Derivatives.\u003c\/p\u003e \u003cp\u003e5 Differentiability and the Chain Rule.\u003c\/p\u003e \u003cp\u003e6 Gradients and Directional Derivatives.\u003c\/p\u003e \u003cp\u003e7 Tangent Planes.\u003c\/p\u003e \u003cp\u003e8 Maximum-Minimum Problems.\u003c\/p\u003e \u003cp\u003e9 Lagrange Multipliers.\u003c\/p\u003e \u003cp\u003eSummary of Key Topics.\u003c\/p\u003e \u003cp\u003eReview Exercises.\u003c\/p\u003e \u003cp\u003eGenesis \u0026amp; Development 11.\u003c\/p\u003e \u003cp\u003eC H A P T E R 1 2 Multiple Integrals.\u003c\/p\u003e \u003cp\u003ePreview.\u003c\/p\u003e \u003cp\u003e1 Double Integrals Over Rectangular Regions.\u003c\/p\u003e \u003cp\u003e2 Integration Over More General Regions.\u003c\/p\u003e \u003cp\u003e3 Calculation of Volumes of Solids.\u003c\/p\u003e \u003cp\u003e4 Polar Coordinates.\u003c\/p\u003e \u003cp\u003e5 Integrating in Polar Coordinates.\u003c\/p\u003e \u003cp\u003e6 Triple Integrals.\u003c\/p\u003e \u003cp\u003e7 Physical Applications.\u003c\/p\u003e \u003cp\u003e8 Other Coordinate Systems.\u003c\/p\u003e \u003cp\u003eSummary of Key Topics.\u003c\/p\u003e \u003cp\u003eReview Exercises.\u003c\/p\u003e \u003cp\u003eGenesis \u0026amp; Development 12.\u003c\/p\u003e \u003cp\u003eC H A P T E R 1 3 Vector Calculus.\u003c\/p\u003e \u003cp\u003ePreview.\u003c\/p\u003e \u003cp\u003e1 Vector Fields.\u003c\/p\u003e \u003cp\u003e2 Line Integrals.\u003c\/p\u003e \u003cp\u003e3 Conservative Vector Fields and Path Independence.\u003c\/p\u003e \u003cp\u003e4 Divergence, Gradient, and Curl.\u003c\/p\u003e \u003cp\u003e5 Green’s Theorem.\u003c\/p\u003e \u003cp\u003e6 Surface Integrals.\u003c\/p\u003e \u003cp\u003e7 Stokes’s Theorem.\u003c\/p\u003e \u003cp\u003e8 The Divergence Theorem.\u003c\/p\u003e \u003cp\u003eSummary of Key Topics.\u003c\/p\u003e \u003cp\u003eReview Exercises.\u003c\/p\u003e \u003cp\u003eGenesis \u0026amp; Development 13.\u003c\/p\u003e \u003cp\u003eTable of Integrals.\u003c\/p\u003e \u003cp\u003eFormulas from Calculus: Single Variable.\u003c\/p\u003e \u003cp\u003eAnswers to Selected Exercises.\u003c\/p\u003e \u003cp\u003eIndex.\u003c\/p\u003e \u003cp\u003e\u003cb\u003eBrian E Blank\u003c\/b\u003e is an associate professor of mathematics at Washington University in St. Louis. He received his Ph.D. in 1980 at Cornell University, with Anthony Knapp as advisor. His 20th century work involved harmonic analysis.\u003c\/p\u003e \u003cp\u003e\u003cb\u003eSteven G Krantz\u003c\/b\u003e is an American scholar, mathematician, and writer. He has authored more than 235 research papers and more than 125 books. Additionally, Krantz has edited journals such as the \u003ci\u003eNotices of the American Mathematical Society\u003c\/i\u003e and \u003ci\u003eThe Journal of Geometric Analysis\u003c\/i\u003e.\u003c\/p\u003e","brand":"Wiley","offers":[{"title":"Default Title","offer_id":47988877590757,"sku":"NP9780470453599","price":167.0,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/1842\/7735\/files\/9780470453599.jpg?v=1761781882","url":"https:\/\/k12savings.com\/products\/calculus-multivariable-isbn-9780470453599","provider":"K12savings","version":"1.0","type":"link"}