- Chapter 1: The Geometry of Euclidean Space
- Chapter 2: Differentiation
- Chapter 3: Higher-Order Derivatives:Maxima and Minima
- Chapter 4: Vector-Valued Functions
- Chapter 5: Double and Triple Integrals
- Chapter 6: The Change of Variables Formula and Applications of Integration
- Chapter 7: Integrals Over Paths and Surfaces
- Chapter 8: The Integral Theorems of Vector Analysis
Vector Calculus 6th Edition - Solutions by Chapter
Full solutions for Vector Calculus | 6th Edition
Absolute value of a real number
Denoted by |a|, represents the number a or the positive number -a if a < 0.
Additive inverse of a complex number
The opposite of a + bi, or -a - bi
Annual percentage yield (APY)
The rate that would give the same return if interest were computed just once a year
The graph of the parametric equations
See Polar coordinates.
Elementary row operations
The following three row operations: Multiply all elements of a row by a nonzero constant; interchange two rows; and add a multiple of one row to another row
Focal length of a parabola
The directed distance from the vertex to the focus.
The domain of a function’s algebraic expression.
See Mathematical induction.
A function whose domain is the set of all natural numbers.
Linear programming problem
A method of solving certain problems involving maximizing or minimizing a function of two variables (called an objective function) subject to restrictions (called constraints)
An equation written with logarithms instead of exponents
Median (of a data set)
The middle number (or the mean of the two middle numbers) if the data are listed in order.
A procedure for fitting a curve y = a . x b to a set of data.
The measure of a central angle whose intercepted arc has a length equal to the circle’s radius.
Real number line
A horizontal line that represents the set of real numbers.
The series a nk=1ak, where n is a natural number ( or ?) is in summation notation and is read "the sum of ak from k = 1 to n(or infinity).” k is the index of summation, and ak is the kth term of the series
The directed distance from the y-axis yz-plane to a point in a plane (space), or the first number in an ordered pair (triple), pp. 12, 629.
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