John Kenkel 0 1, Trott 0 Carl S. Warren 2 4, Warren 0 Abraham Silberschatz 1 3, Frederick S. Hillier 1 8, William Stallings 1 9, Morris Mano 1 7, David Irwin 0 1, Morris Mano 0 2, Michael F. Ashby 0 3, William Thomson 0 2, Gene Mathers 0 Jack C. McCormac 1 2, William T. Segui 0 1, Richard T. Minton, Calculus, 4th edition. College Physics — Raymond A. Serway, Chris Vuille — 8th Edition. Introduction to Heat Transfer — Frank P.
Incropera — 6th Edition. Nixon, Alberto S. Aguado — 1st Edition. See what's new with book lending at the Internet Archive. Better World Books. User icon An illustration of a person's head and chest. Sign up Log in. Web icon An illustration of a computer application window Wayback Machine Texts icon An illustration of an open book. Notice that i says that you can add the same quantity to both sides of an inequality. Part iii says that you can multiply both sides of an inequality by a positive number.
Finally, iv says that if you multiply both sides of an inequality by a negative number, the inequality is reversed. We illustrate the use of Theorem 1. Solution We can use the properties in Theorem 1.
Smith, R. A similar change was made to Table 4. Chapter 5: Integration Examples 5. Three properties of integrals bounds on definite integrals were added in 5.
Exercises were added to 5. These exercises will help students better understand the geometric meaning of Riemann sums. More exercises have been added to 5. A proof of Theorem 5. The result is a compact Chapter 7.
Exercises requiring students to evaluate net change using graphs were added to 6. Exercises in 6. The number of exercises in 6. Introductory exercises that step students through the processes used to find volumes have been added. A more gentle introduction to lifting problems specifically, lifting a chain was added in 6. The introduction to exponential growth 7. This revision resulted in a small change to the half-life formula.
Chapter 8: Integration Techniques Table 8. The number and variety of exercises in 8. A full derivation of Simpsons Rule was added to 8. The 2e section that covered the Comparison, Ratio, and Root Tests was split to avoid overwhelming students with too many tests at one time.
Section Alternating Series has been moved before the Ratio and Root Tests so that the latter tests may be stated in their more general form they now apply to any series rather than only series with positive terms. The final section The terminology associated with sequences Theorem The number and variety of exercises where the student must determine the appropriate series test necessary to determine convergence of a given series has been increased. Chapter Power Series Chapter 11 was revised to mesh with the changes made in Chapter Some easier intermediate-level exercises have been added to More exercises have been included in An issue with the exercises in Area and surfaces of revolution associated with parametric curves were also added to the exercises.
The number of applied vector exercises in This arrangement gives students early exposure to all the basic three-dimensional objects that will be encountered throughout the remainder of the text. A discussion of the distance from a point to a line was moved from the exercises into the narrative, supported with Example Several related exercises were added to this section.
Chapter Vector-Valued Functions More emphasis was placed on the surface s on which a space curve lies in The notation in Theorem More challenging partial derivative exercises have been added to Some basic exercises have been added in Chapter Multiple Integration Example More care was given to the notation used with polar, cylindrical, and spherical coordinates see, for example, Theorem More multiple integral exercises were added to Chapter Vector Calculus The approach to scalar line integrals was streamlined; Example Basic exercises have been added in A subset of exercises was added where line integrals are grouped so that the student must determine the type of line integral before evaluating the integral.
We also promoted the area of a plane region by a line integral to theorem status Theorem More line integral exercises were added to Table of Contents 1.
Functions 1. Limits 2. Derivatives 3. Applications of the Derivative 4. Integration 5. Applications of Integration 6. Logarithmic, Exponential, and Hyperbolic Functions 7. Integration Techniques 8. Differential Equations 9.
Sequences and Infinite Series Power Series Parametric and Polar Curves Proofs of Selected Theorems Appendix B. About the Author s. Download Resources.
0コメント