微积分 2 英文版

1 (p1): CHAPTER 5 Vectors and the Geometry of Space
1 (p2): 5.1 Vectors
1 (p3): 5.1.1 Concepts of Vectors
2 (p4): 5.1.2 Linear Operations Involving Vectors
3 (p5): 5.1.3 Coordinate Systems in Three-Dimensional Space
6 (p6): 5.1.4 Representing Vectors Using Coordinates
8 (p7): 5.1.5 Lengths,Direction Angles and Projections of Vectors
11 (p8): 5.2 Dot Product,Cross Product and Scalar Triple Product
11 (p9): 5.2.1 The Dot Product
15 (p10): 5.2.2 The Cross Product
17 (p11): 5.2.3 Scalar Triple Product
18 (p12): 5.3 Equations of Planes and Lines
18 (p13): 5.3.1 Planes
22 (p14): 5.3.2 Lines
26 (p15): 5.4 Surfaces In Space
26 (p16): 5.4.1 Surfaces and Equations
27 (p17): 5.4.2 Cylinder
28 (p18): 5.4.3 Surface of Revolution
29 (p19): 5.4.4 Quadric Surfaces
30 (p20): 5.5 Curves in Space
30 (p21): 5.5.1 General Equations of Curves in the Space
31 (p22): 5.5.2 Parametric Equations of Curves in the Space
32 (p23): 5.5.3 Parametric Equations of Surfaces in the Space
32 (p24): 5.5.4 Projections of Curves in the Space
34 (p25): 5.6 Exercises
34 (p26): 5.6.1 Vectors
35 (p27): 5.6.2 Planes and Lines in Space
36 (p28): 5.6.3 Surfaces and Curves in Space
37 (p29): 5.6.4 Questions to Guide Your Revision
38 (p30): CHAPTER 6 Functions of Several Variables
38 (p31): 6.1 Functions of Several Variables
38 (p32): 6.1.1 Definition
41 (p33): 6.1.2 Limits
45 (p34): 6.1.3 Continuity
47 (p35): 6.2 Partial Derivatives
47 (p36): 6.2.1 Definition
51 (p37): 6.2.2 Partial Derivative of Higher Order
53 (p38): 6.3 Total Differential
53 (p39): 6.3.1 Definition
55 (p40): 6.3.2 The Total Differential Approxination
57 (p41): 6.4 The Chain Rule
62 (p42): 6.5 Implicit Differentiation
62 (p43): 6.5.1 Functions Defined by a Single Equation
64 (p44): 6.5.2 Functions Defined Implicitly by System of Equations
66 (p45): 6.6 Applications of the Differential Calculus
66 (p46): 6.6.1 Tangent Lines and Normal Planes
68 (p47): 6.6.2 Tangent Planes and Normal Lines for Surfaces
72 (p48): 6.7 Directional Derivatives and…