عنوان

Multivariable university calculus :

(Number (ISBN

0321694600

(Number (ISBN

9780321694607

Number

b605565

Title Proper

Multivariable university calculus :

General Material Designation

[Book]

Other Title Information

early transcendentals

First Statement of Responsibility

Joel Hass, Maurice D. Weir, George B. Thomas, Jr.

Edition Statement

2nd ed

Place of Publication, Distribution, etc.

Boston, Mass.

Name of Publisher, Distributor, etc.

Addison-Wesley

Date of Publication, Distribution, etc.

©2012.

Specific Material Designation and Extent of Item

1 volume (various pagings) : illustrations (some color) ; 28 cm

Text of Note

Includes index.; Contains chapters 9-15 (p. 486-916) and appendices A.1-11 of University calculus / Joel Hass, Maurice D. Weir, George B. Thomas, Jr. (Boston : Addison-Wesley, c2012).

Text of Note

9. Infinite Sequences and Series9.1 Sequences9.2 Infinite Series9.3 The Integral Test9.4 Comparison Tests9.5 The Ratio and Root Tests9.6 Alternating Series, Absolute and Conditional Convergence9.7 Power Series9.8 Taylor and Maclaurin Series9.9 Convergence of Taylor Series9.10 The Binomial Series and Applications of Taylor Series 10. Parametric Equations and Polar Coordinates10.1 Parametrizations of Plane Curves10.2 Calculus with Parametric Curves10.3 Polar Coordinates10.4 Graphing in Polar Coordinates10.5 Areas and Lengths in Polar Coordinates10.6 Conics in Polar Coordinates 11. Vectors and the Geometry of Space11.1 Three-Dimensional Coordinate Systems11.2 Vectors11.3 The Dot Product11.4 The Cross Product11.5 Lines and Planes in Space11.6 Cylinders and Quadric Surfaces 12. Vector-Valued Functions and Motion in Space12.1 Curves in Space and Their Tangents12.2 Integrals of Vector Functions; Projectile Motion12.3 Arc Length in Space12.4 Curvature and Normal Vectors of a Curve12.5 Tangential and Normal Components of Acceleration12.6 Velocity and Acceleration in Polar Coordinates 13. Partial Derivatives13.1 Functions of Several Variables13.2 Limits and Continuity in Higher Dimensions13.3 Partial Derivatives13.4 The Chain Rule13.5 Directional Derivatives and Gradient Vectors13.6 Tangent Planes and Differentials13.7 Extreme Values and Saddle Points13.8 Lagrange Multipliers 14. Multiple Integrals14.1 Double and Iterated Integrals over Rectangles14.2 Double Integrals over General Regions14.3 Area by Double Integration14.4 Double Integrals in Polar Form14.5 Triple Integrals in Rectangular Coordinates14.6 Moments and Centers of Mass14.7 Triple Integrals in Cylindrical and Spherical Coordinates14.8 Substitutions in Multiple Integrals 15. Integration in Vector Fields15.1 Line Integrals15.2 Vector Fields and Line Integrals: Work, Circulation, and Flux15.3 Path Independence, Conservative Fields, and Potential Functions15.4 Green's Theorem in the Plane15.5 Surfaces and Area15.6 Surface Integrals15.7 Stokes' Theorem15.8 The Divergence Theorem and a Unified Theory 16. First-Order Differential Equations (Online)16.1 Solutions, Slope Fields, and Euler's Method16.2 First-Order Linear Equations16.3 Applications16.4 Graphical Solutions of Autonomous Equations16.5 Systems of Equations and Phase Planes 17. Second-Order Differential Equations (Online)17.1 Second-Order Linear Equations17.2 Nonhomogeneous Linear Equations17.3 Applications17.4 Euler Equations17.5 Power Series Solutions

Parallel Title

University calculus.; University calculus, early transcendentals [chapters 9-15]

Calculus -- Textbooks.

Calculus.

Class number

Book number

Joel Hass, Maurice D. Weir, George B. Thomas, Jr.

George B Thomas, Jr.

Joel Hass

Maurice D Weir

Electronic name

[Book]

Y