Calculus
Multivariable
6th Edition
Published on 29. October 2012
Book
Paperback/Softback
512 pages
978-0-470-88867-4 (ISBN)
Description
Calculus: Multivariable, 6th Edition continues the effort to promote courses in which understanding and computation reinforce each other. The 6th Edition reflects the many voices of users at research universities, four-year colleges, community colleges, and secondary schools. This new edition has been streamlined to create a flexible approach to both theory and modeling. For instructors wishing to emphasize the connection between calculus and other fields, the text includes a variety of problems and examples from the physical, health, and biological sciences, engineering and economics. In addition, new problems on the mathematics of sustainability and new case studies on calculus in medicine by David E. Sloane, MD have been added. WileyPLUS sold separately from text.
More details
Edition
6th edition
Language
English
Place of publication
New York
United States
Target group
College/higher education
Dimensions
Height: 264 mm
Width: 206 mm
Thickness: 18 mm
Weight
940 gr
ISBN-13
978-0-470-88867-4 (9780470888674)
Copyright in bibliographic data is held by Nielsen Book Services Limited or its licensors: all rights reserved.
Schweitzer Classification
Other editions
Previous edition
Book
11/2008
5th Edition
Wiley
€139.00
Article not available at the moment
Persons
Content
12 FUNCTIONS OF SEVERAL VARIABLES
12.1 FUNCTIONS OF TWO VARIABLES
12.2 GRAPHS AND SURFACES
12.3 CONTOUR DIAGRAMS
12.4 LINEAR FUNCTIONS
12.5 FUNCTIONS OF THREE VARIABLES
12.6 LIMITS AND CONTINUITY
REVIEW PROBLEMS
PROJECTS
13 A FUNDAMENTAL TOOL: VECTORS
13.1 DISPLACEMENT VECTORS
13.2 VECTORS IN GENERAL
13.3 THE DOT PRODUCT
13.4 THE CROSS PRODUCT
REVIEW PROBLEMS
PROJECTS
14 DIFFERENTIATING FUNCTIONS OF SEVERAL VARIABLES
14.1 THE PARTIAL DERIVATIVE
14.2 COMPUTING PARTIAL DERIVATIVES ALGEBRAICALLY
14.3 LOCAL LINEARITY AND THE DIFFERENTIAL
14.4 GRADIENTS AND DIRECTIONAL DERIVATIVES IN THE PLANE
14.5 GRADIENTS AND DIRECTIONAL DERIVATIVES IN SPACE
14.6 THE CHAIN RULE
14.7 SECOND-ORDER PARTIAL DERIVATIVES
14.8 DIFFERENTIABILITY
REVIEW PROBLEMS
PROJECTS
15 OPTIMIZATION: LOCAL AND GLOBAL EXTREMA
15.1 CRITICAL POINTS: LOCAL EXTREMA AND SADDLE POINTS
15.2 OPTIMIZATION
15.3 CONSTRAINED OPTIMIZATION: LAGRANGE MULTIPLIERS
REVIEW PROBLEMS
PROJECTS
16 INTEGRATING FUNCTIONS OF SEVERAL VARIABLES
16.1 THE DEFINITE INTEGRAL OF A FUNCTION OF TWO VARIABLES
16.2 ITERATED INTEGRALS
16.3 TRIPLE INTEGRALS
16.4 DOUBLE INTEGRALS IN POLAR COORDINATES
16.5 INTEGRALS IN CYLINDRICAL AND SPHERICAL COORDINATES
16.6 APPLICATIONS OF INTEGRATION TO PROBABILITY
REVIEW PROBLEMS
PROJECTS
17 PARAMETERIZATION AND VECTOR FIELDS
17.1 PARAMETERIZED CURVES
17.2 MOTION, VELOCITY, AND ACCELERATION
17.3 VECTOR FIELDS
17.4 THE FLOW OF A VECTOR FIELD
REVIEW PROBLEMS
PROJECTS
18 LINE INTEGRALS
18.1 THE IDEA OF A LINE INTEGRAL
18.2 COMPUTING LINE INTEGRALS OVER PARAMETERIZED CURVES
18.3 GRADIENT FIELDS AND PATH-INDEPENDENT FIELDS
18.4 PATH-DEPENDENT VECTOR FIELDS AND GREEN'S THEOREM
REVIEW PROBLEMS
PROJECTS
19 FLUX INTEGRALS AND DIVERGENCE
19.1 THE IDEA OF A FLUX INTEGRAL
19.2 FLUX INTEGRALS FOR GRAPHS, CYLINDERS, AND SPHERES
19.3 THE DIVERGENCE OF A VECTOR FIELD
19.4 THE DIVERGENCE THEOREM
REVIEW PROBLEMS
PROJECTS
20 THE CURL AND STOKES' THEOREM
20.1 THE CURL OF A VECTOR FIELD
20.2 STOKES' THEOREM
20.3 THE THREE FUNDAMENTAL THEOREMS
REVIEW PROBLEMS
PROJECTS
21 PARAMETERS, COORDINATES, AND INTEGRALS
21.1 COORDINATES AND PARAMETERIZED SURFACES
21.2 CHANGE OF COORDINATES IN A MULTIPLE INTEGRAL
21.3 FLUX INTEGRALS OVER PARAMETERIZED SURFACES
REVIEW PROBLEMS
PROJECTS
APPENDIX
A ROOTS, ACCURACY, AND BOUNDS
B COMPLEX NUMBERS
C NEWTON'S METHOD
D VECTORS IN THE PLANE
E DETERMINANTS
READY REFERENCE
ANSWERS TO ODD-NUMBERED PROBLEMS
INDEX
12.1 FUNCTIONS OF TWO VARIABLES
12.2 GRAPHS AND SURFACES
12.3 CONTOUR DIAGRAMS
12.4 LINEAR FUNCTIONS
12.5 FUNCTIONS OF THREE VARIABLES
12.6 LIMITS AND CONTINUITY
REVIEW PROBLEMS
PROJECTS
13 A FUNDAMENTAL TOOL: VECTORS
13.1 DISPLACEMENT VECTORS
13.2 VECTORS IN GENERAL
13.3 THE DOT PRODUCT
13.4 THE CROSS PRODUCT
REVIEW PROBLEMS
PROJECTS
14 DIFFERENTIATING FUNCTIONS OF SEVERAL VARIABLES
14.1 THE PARTIAL DERIVATIVE
14.2 COMPUTING PARTIAL DERIVATIVES ALGEBRAICALLY
14.3 LOCAL LINEARITY AND THE DIFFERENTIAL
14.4 GRADIENTS AND DIRECTIONAL DERIVATIVES IN THE PLANE
14.5 GRADIENTS AND DIRECTIONAL DERIVATIVES IN SPACE
14.6 THE CHAIN RULE
14.7 SECOND-ORDER PARTIAL DERIVATIVES
14.8 DIFFERENTIABILITY
REVIEW PROBLEMS
PROJECTS
15 OPTIMIZATION: LOCAL AND GLOBAL EXTREMA
15.1 CRITICAL POINTS: LOCAL EXTREMA AND SADDLE POINTS
15.2 OPTIMIZATION
15.3 CONSTRAINED OPTIMIZATION: LAGRANGE MULTIPLIERS
REVIEW PROBLEMS
PROJECTS
16 INTEGRATING FUNCTIONS OF SEVERAL VARIABLES
16.1 THE DEFINITE INTEGRAL OF A FUNCTION OF TWO VARIABLES
16.2 ITERATED INTEGRALS
16.3 TRIPLE INTEGRALS
16.4 DOUBLE INTEGRALS IN POLAR COORDINATES
16.5 INTEGRALS IN CYLINDRICAL AND SPHERICAL COORDINATES
16.6 APPLICATIONS OF INTEGRATION TO PROBABILITY
REVIEW PROBLEMS
PROJECTS
17 PARAMETERIZATION AND VECTOR FIELDS
17.1 PARAMETERIZED CURVES
17.2 MOTION, VELOCITY, AND ACCELERATION
17.3 VECTOR FIELDS
17.4 THE FLOW OF A VECTOR FIELD
REVIEW PROBLEMS
PROJECTS
18 LINE INTEGRALS
18.1 THE IDEA OF A LINE INTEGRAL
18.2 COMPUTING LINE INTEGRALS OVER PARAMETERIZED CURVES
18.3 GRADIENT FIELDS AND PATH-INDEPENDENT FIELDS
18.4 PATH-DEPENDENT VECTOR FIELDS AND GREEN'S THEOREM
REVIEW PROBLEMS
PROJECTS
19 FLUX INTEGRALS AND DIVERGENCE
19.1 THE IDEA OF A FLUX INTEGRAL
19.2 FLUX INTEGRALS FOR GRAPHS, CYLINDERS, AND SPHERES
19.3 THE DIVERGENCE OF A VECTOR FIELD
19.4 THE DIVERGENCE THEOREM
REVIEW PROBLEMS
PROJECTS
20 THE CURL AND STOKES' THEOREM
20.1 THE CURL OF A VECTOR FIELD
20.2 STOKES' THEOREM
20.3 THE THREE FUNDAMENTAL THEOREMS
REVIEW PROBLEMS
PROJECTS
21 PARAMETERS, COORDINATES, AND INTEGRALS
21.1 COORDINATES AND PARAMETERIZED SURFACES
21.2 CHANGE OF COORDINATES IN A MULTIPLE INTEGRAL
21.3 FLUX INTEGRALS OVER PARAMETERIZED SURFACES
REVIEW PROBLEMS
PROJECTS
APPENDIX
A ROOTS, ACCURACY, AND BOUNDS
B COMPLEX NUMBERS
C NEWTON'S METHOD
D VECTORS IN THE PLANE
E DETERMINANTS
READY REFERENCE
ANSWERS TO ODD-NUMBERED PROBLEMS
INDEX