Calculus for Engineering and the Sciences / Edition 1

Calculus for Engineering and the Sciences / Edition 1

by Elgin H. Johnston, Jerold C. Mathews
     
 

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ISBN-10: 0065015770

ISBN-13: 9780065015775

Pub. Date: 01/07/1997

Publisher: Addison-Wesley

Product Details

ISBN-13:
9780065015775
Publisher:
Addison-Wesley
Publication date:
01/07/1997
Edition description:
ALT
Pages:
673
Product dimensions:
9.44(w) x 8.74(h) x 1.12(d)

Table of Contents

Vectors and Linear Functions
1(110)
Vectors in Three Dimensions
1(14)
Motion in Three Dimensions
15(13)
Matrices and Linear Functions
28(19)
The Geometry of Linear Functions
47(19)
Determinants
66(9)
Planes
75(8)
Systems of Linear Equations
83(28)
Review of Key Concepts
98(5)
Chapter Review Exercises
103(8)
Functions of Several Variables
111(106)
Real-World Functions
111(14)
Graphing: Surfaces and Level Curves
125(11)
Graphing: Parametric Representations of Surfaces
136(12)
Cylindrical and Spherical Coordinates
148(17)
Limits
165(18)
Derivatives
183(34)
Review of Key Concepts
199(7)
Chapter Review Exercises
206(11)
Differentiable Functions of Several Variables
217(88)
Differentiable Functions
218(14)
The Chain Rule for Functions of Several Variables
232(13)
Applications of the Chain Rule
245(17)
Optimization
262(9)
Second Derivative Test
271(7)
Optimization with Constraints
278(27)
Review of Key Concepts
288(3)
Chapter Review Exercises
291(14)
Multiple Integrals
305(100)
Defining and Evaluating Double Integrals on Rectangles
306(11)
Extensions and Applications of Double Integrals
317(15)
Surface Area
332(12)
Change of Variables Formula for Double Integrals
344(12)
Triple Integrals
356(7)
Change of Variables Formula, with an Emphasis on Cylindrical and Spherical Coordinates
363(12)
Means and Standard Deviations of Random Variables
375(30)
Review of Key Concepts
392(3)
Chapter Review Exercises
395(10)
Line and Surface Integrals
405(118)
The Line Integral
405(12)
Vector Fields, Work, and Flows
417(14)
The Fundamental Theorem of Line Integrals
431(17)
Green's Theorem
448(11)
Divergence and Curl
459(11)
Surface Integrals
470(15)
The Divergence Theorem
485(10)
Stokes' Theorem
495(28)
Review of Key Concepts
507(8)
Chapter Review Exercises
515(8)
Answers to Selected Exercises 523(42)
Index 565

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