CALCULUS MULTIVARIABLE ANTON H. BIVENS I. DAVIS ST. Księgarnia

The ninth edition continues to provide engineers with an accessible resource for learning calculus. The book includes carefully worked examples and special problem types that help improve comprehension. New applied exercises demonstrate the usefulness of the mathematics. Additional summary tables with step-by-step details are also incorporated into the chapters to make the concepts easier to understand. The Quick Check and Focus on Concepts exercises have been updated as well. Engineers become engaged in the material because of the easy-to-read style and real-world examples.

Table of Contents

Ch 11 Three-Dimensional Space; Vectors

11.1 Rectangular Coordinates in 3-Space; Spheres; Cylindrical Surfaces

11.2 Vectors

11.3 Dot Product; Projections

11.4 Cross Product

11.5 Parametric Equations of Lines

11.6 Planes in 3-Space

11.7 Quadric Surfaces

11.8 Cylindrical and Spherical Coordinates

Ch 12 Vector-Valued Functions

12.1 Introduction to Vector-Valued Functions

12.2 Calculus of Vector-Valued Functions

12.3 Change of Parameter; Arc Length

12.4 Unit Tangent, Normal, and Binormal Vectors

12.5 Curvature

12.6 Motion Along a Curve

12.7 Kepler's Laws of Planetary Motion

Ch 13 Partial Derivatives

13.1 Functions of Two or More Variables

13.2 Limits and Continuity

13.3 Partial Derivatives

13.4 Differentiability, Differentials, and Local Linearity

13.5 The Chain Rule

13.6 Directional Derivatives and Gradients

13.7 Tangent Planes and Normal Vectors

13.8 Maxima and Minima of Functions of Two Variables

13.9 Lagrange Multipliers

Ch 14 Multiple Integrals

14.1 Double Integrals

14.2 Double Integrals over Nonrectangular Regions

14.3 Double Integrals in Polar Coordinates

14.4 Surface Area; Parametric Surfaces}

14.5 Triple Integrals

14.6 Triple Integrals in Cylindrical and Spherical Coordinates

14.7 Change of Variable in Multiple Integrals; Jacobians

14.8 Centers of Gravity Using Multiple Integrals

Ch 15 Topics in Vector Calculus

15.1 Vector Fields

15.2 Line Integrals

15.3 Independence of Path; Conservative Vector Fields

15.4 Green's Theorem

15.5 Surface Integrals

15.6 Applications of Surface Integrals; Flux

15.7 The Divergence Theorem

15.8 Stokes' Theorem

Appendix [order of sections TBD]

A Graphing Functions Using Calculators and Computer Algebra Systems

B Trigonometry Review

C Solving Polynomial Equations

D Mathematical Models

E Selected Proofs

Web Appendices

F Real Numbers, Intervals, and Inequalities

G Absolute Value

H Coordinate Planes, Lines, and Linear Functions

I Distance, Circles, and Quadratic Functions

J Second-Order Linear Homogeneous Differential Equations; The Vibrating String

K The Discriminant

ANSWERS

PHOTOCREDITS

INDEX

448 pages, Hardcover

Po otrzymaniu zamówienia poinformujemy,
czy wybrany tytuł polskojęzyczny lub anglojęzyczny jest aktualnie na półce księgarni.