Multivariable calculus with matrices (6° ed )
Langue : Anglais
Auteurs : EDWARDS C. Henry, PENNEY David
For standard undergraduate Calculus courses. Multivariable Calculus now has a full chapter of material on matrices and eigenvalues up front. All of Multivariable Calculus has been rewritten with matrix notation.
- 10 Infinite Series
10.1 Introduction
10.2 Infinite Sequences
10.3 Infinite Series and Convergence
10.4 Taylor Series and Taylor Polynomials
10.5 The Integral Test10.6 Comparison Tests for Positive-Term Series
10.7 Alternating Series and Absolute Convergence
10.8 Power Series
10.9 Power Series Computations
10.10 Series Solutions of Differential Equations
11 Vectors and Matrices
11.1 Vectors in the Plane
11.2 Three-Dimensional Vectors
11.3 The Cross Product of Two Vectors
11.4 Lines and Planes in Space
11.5 Linear Systems and Matrices
11.6 Matrix Operations
11.7 Eigenvalues and Rotated Conics
12 Curves and Surfaces in Space
12.1 Curves and Motion in Space
12.2 Curvature and Acceleration
12.3 Cylinders and Quadric Surfaces
12.4 Cylindrical and Spherical Coordinates
13 Partial Differentiation
13.1 Introduction
13.2 Functions of Several Variables
13.3 Limits and Continuity13.4 Partial Derivatives
13.5 Multivariable Optimizations Problems
13.6 Linear Approximation and Matrix Derivatives
13.7 The Multivariable Chain Rule
13.8 Directional Derivatives and Gradient Vectors
13.9 Lagrange Multipliers and Constrained Optimization
13.10 Critical Points of Multivariable Functions
14 Multiple Integrals
14.1 Double Integrals
14.2 Double Integrals over More General Regions
14.3 Area and Volume by Double Integration
14.4 Double Integrals in Polar Coordinates
14.5 Applications of Double Integrals
14.6 Triple Integrals
14.7 Integration in Cylindrical and Spherical Coordinates
14.8 Surface Area
14.9 Change of Variables in Multiple Integrals
15 Vector Calculus
15.1 Vector Fields
15.2 Line Integrals
15.3 The Fundamental Theorem and Independence of Path
15.4 Green's Theorem
15.5 Surface Integrals
15.6 The Divergence Theorem
15.7 Stokes' Theorem Appendices
Answers
Index
- NEW - Linear algebra and matrices - Found in Semester III. Linear systems and matrices through determinants and eigenvalues are now introduced in Chapter 11. The subsequent multivariable chapters now integrate matrix methods and terminology with traditional multivariable calculus (e.g., the chain rule in matrix form).
- NEW - CD-ROM/WWW learning resources fully integrated throughout The CD-ROM accompanying the book contains a student-usable, functional array of fully integrated learning resources linked to individual sections of the text. Most text examples are animated with What-If scenarios. The whole text is available in interactive Maple notebooks.
- NEW - 320 End-of-section Concepts/Questions and Discussion - Adds beginning conceptual questions that can serve as the b
Date de parution : 02-2002
Ouvrage de 544 p.
26.7x20.3 cm
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