Author | Soon, Frederick H. author |
---|---|
Title | Student's Guide to Calculus by J. Marsden and A. Weinstein [electronic resource] : Volume III / by Frederick H. Soon |
Imprint | New York, NY : Springer New York, 1986 |
Connect to | http://dx.doi.org/10.1007/978-1-4612-4970-2 |
Descript | XIV, 294 p. online resource |
13 -- Vectors -- 13.1 Vectors in the Plane -- 13.2 Vectors in Space -- 13.3 Lines and Distance -- 13.4 The Dot Product -- 13.5 The Cross Product -- 13.6 Matrices and Determinants -- 13.R Review Exercises for Chapter 13 -- 14 -- Curves and Surfaces -- 14.1 The Conic Sections -- 14.2 Translation and Rotstion of Axes -- 14.3 Functions, Graphs, and Level Surfaces -- 14.4 Quadric Surfaces -- 14.5 Cylindrical and Spherical Coordinates -- 14.6 Curves in Space -- 14.7 The Geometry and Physics of Space Curves -- 14.S Supplement to Chapter 14: Rotations and the Sunshine Formula -- 14.R Review Exercises for Chapter 14 -- 15 -- Partial Differentiation -- 15.1 Introduction to Partial Derivatives -- 15.2 Linear Approximation and Tangent Planes -- 15.3 The Chain Rule -- 15.4 Matrix Multiplication and the Chain Rule -- 15.R Review Exercises for Chapter 15 -- Comprehensive Test For Chapters 13 โ 15 -- 16 -- Gradients, Maxima, and Minima -- 16.1 Gradients and Directional Derivatives -- 16.2 Gradients, Level Surfaces, and Implicit Differentiation -- 16.3 Maxima and Minima -- 16.4 Constrained Extrema and Lagrange Multipliers -- l6.R Review Exercises for Chapter 16 -- 17 -- Multiple Integration -- 17.1 The Double Integral and Iterated Integral -- 17.2 The Double Integral Over General Regions -- 17.3 Applications of the Double Integral -- 17.4 Triple Integrals -- 17.5 Integrals in Polar, Cylindrical, and Spherical Coordinates -- 17.6 Applications of Triple Integrals -- l7.R Review Exercises for Chapter 17 -- 18 -- Vector Analysis -- 18.1 Line Integrals 839 -- 18.2 Path Independence -- 18.3 Exact Differentials -- 18.4 Green's Theorem -- 18.5 Circulation and Stokes' Theorem -- 18.6 Flux and the Divergence Theorem -- l8.R Review Exercises for Chapter 18 -- Comprehensive Test for Chapters 13 โ 18