Dewey Decimal515
Table Of ContentChapter 8: Sequences and Infinite Series 8.1 An Overview 8.2 Sequences 8.3 Infinite Series 8.4 The Divergence and Integral Tests 8.5 The Ratio and Comparison Tests 8.6 Alternating Series Chapter 9: Power Series 9.1 Approximating Functions with Polynomials 9.2 Power Series 9.3 Taylor Series 9.4 Working with Taylor Series Chapter 10: Parametric and Polar Curves 10.1 Parametric Equations 10.2 Polar Coordinates 10.3 Calculus in Polar Coordinates 10.4 Conic Sections Chapter 11: Vectors and Vector-Valued Functions 11.1 Vectors in the Plane 11.2 Vectors in Three Dimensions 11.3 Dot Products 11.4 Cross Products 11.5 Lines and Curves in Space 11.6 Calculus of Vector-Valued Functions 11.7 Motion in Space 11.8 Length of Curves 11.9 Curvature and Normal Vectors Chapter 12: Functions of Several Variables 12.1 Planes and Surfaces 12.2 Graphs and Level Curves 12.3 Limits and Continuity 12.4 Partial Derivatives 12.5 The Chain Rule 12.6 Directional Derivatives and the Gradient 12.7 Tangent Planes and Linear Approximation 12.8 Maximum/Minimum Problems 12.9 Lagrange Multipliers Chapter 13: Multiple Integration 13.1 Double Integrals over Rectangular Regions 13.2 Double Integrals over General Regions 13.3 Double Integrals in Polar Coordinates 13.4 Triple Integrals 13.5 Triple Integrals in Cylindrical and Spherical Coordinates 13.6 Integrals for Mass Calculations 13.7 Change of Variables in Multiple Integrals Chapter 14: Vector Calculus 14.1 Vector Fields 14.2 Line Integrals 14.3 Conservative Vector Fields 14.4 Green's Theorem 14.5 Divergence and Curl 14.6 Surface Integrals 14.6 Stokes' Theorem 14.8 Divergence Theorem
SynopsisDrawing on their decades of teaching experience, William Briggs and Lyle Cochran have created a calculus text that carries the teacher's voice beyond the classroom. That voice--evident in the narrative, the figures, and the questions interspersed in the narrative--is a master teacher leading readers to deeper levels of understanding. The authors appeal to readers' geometric intuition to introduce fundamental concepts and lay the foundation for the more rigorous development that follows. Comprehensive exercise sets have received praise for their creativity, quality, and scope. Sequences and Infinite Series; Power Series; Parametric and Polar Curves; Vectors and Vector-Valued Functions; Functions of Several Variables; Multiple Integration; Vector Calculus. For all readers interested in multivariable calculus for mathematics, engineering, and science., Drawing on their decades of teaching experience, William Briggs and Lyle Cochran have created a calculus text that carries the teacher s voice beyond the classroom. That voice evident in the narrative, the figures, and the questions interspersed in the narrative is a master teacher leading readers to deeper levels of understanding. The authors appeal to readers geometric intuition to introduce fundamental concepts and lay the foundation for the more rigorous development that follows. Comprehensive exercise sets have received praise for their creativity, quality, and scope. Sequences and Infinite Series; Power Series; Parametric and Polar Curves; Vectors and Vector-Valued Functions; Functions of Several Variables; Multiple Integration; Vector Calculus. For all readers interested in multivariable calculus for mathematics, engineering, and science. ", This book is designed for a multivariable calculus course for mathematics, engineering, and science majors. Drawing on their decades of teaching experience, William Briggs and Lyle Cochran have created a calculus text that carries the teacher's voice beyond the classroom. That voice evident in the narrative, the figures, and the questions interspersed in the narrative is a master teacher leading students to deeper levels of understanding. The authors appeal to students' geometric intuition to introduce fundamental concepts and lay the foundation for the more rigorous development that follows. Comprehensive exercise sets have received praise for their creativity, quality, and scope. To further support student learning, the ebook for the text features Interactive Figures that can be manipulated to shed light on difficult-to-convey concepts. In addition, the Instructor's Resource Guide and Test Bank features quizzes, test items, lecture support, guided projects, and more.