NEW ~ Multivariable Calculus : From Numerical Graphical and Symbolic Points 2002

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Last updated on Apr 05, 2023 17:29:27 PDTView all revisionsView all revisions

Item specifics

Condition
Like New: A book that looks new but has been read. Cover has no visible wear, and the dust jacket ...
Subject Area
Mathematics
Binding
Paperback
Product Group
Book
Weight
2 lbs
IsTextBook
No
Subject
General, Calculus
ISBN
9780618248575
Publication Name
Multivariable Calculus : from Numerical, Graphical, and Symbolic Points of View
Publisher
HMH College Division
Item Length
10.5 in
Publication Year
2002
Type
Textbook
Format
Hardcover
Language
English
Item Height
0.6 in
Author
Arnold Ostebee, Paul Zorn
Item Weight
31.7 Oz
Item Width
8.5 in
Number of Pages
381 Pages
Category

About this product

Product Identifiers

Publisher
HMH College Division
ISBN-10
0618248579
ISBN-13
9780618248575
eBay Product ID (ePID)
50216271

Product Key Features

Number of Pages
381 Pages
Language
English
Publication Name
Multivariable Calculus : from Numerical, Graphical, and Symbolic Points of View
Subject
General, Calculus
Publication Year
2002
Type
Textbook
Author
Arnold Ostebee, Paul Zorn
Subject Area
Mathematics
Format
Hardcover

Dimensions

Item Height
0.6 in
Item Weight
31.7 Oz
Item Length
10.5 in
Item Width
8.5 in

Additional Product Features

Edition Number
2
Intended Audience
Young Adult Audience
Table Of Content
Contents Note: Each chapter contains a Summary. 11. Infinite Series 11.1 Sequences and Their Limits 11.2 Infinite Series, Convergence, and Divergence 11.3 Testing for Convergence; Estimating Limits 11.4 Absolute Convergence; Alternating Series 11.5 Power Series 11.6 Power Series as Functions 11.7 Taylor Series Interlude: Fourier series 12. Curves and Vectors 12.1 Three-Dimensional Space 12.2 Curves and Parametric Equations 12.3 Polar Coordinates and Polar Curves 12.4 Vectors 12.5 Vector-Valued Functions, Derivatives, and Integrals 12.6 Modeling Motion 12.7 The Dot Product 12.8 Lines and Planes in Three Dimensions 12.9 The Cross Product Interlude: Beyond Free Fall 13. Derivatives 13.1 Functions of Several Variables 13.2 Partial Derivatives 13.3 Linear Approximation in Several Variables 13.4 The Gradient and Directional Derivatives 13.5 Higher-Order Derivatives and Quadratic Approximation 13.6 Maxima, Minima, and Quadratic Approximation 13.7 The Chain Rule 13.8 Local Linearity: Some Theory of the Derivative 14. Integrals 14.1 Multiple Integrals and Approximating Sums 14.2 Calculating Integrals by Iteration 14.3 Integrals over Nonrectangular Regions 14.4 Double Integrals in Polar Coordinates 14.5 Triple Integrals 14.6 More Triple Integrals; Cylindrical and Spherical Coordinates 14.7 Multiple Integrals Overviewed: Change of Variables Interlude: Mass and Center of Mass 15. Other Topics 15.1 Linear, Circular, and Combined Motion Interlude: Cycloids and Epicycloids 15.2 New Curves from Old 15.3 Curvature 15.4 Lagrange Multipliers and Constrained Optimization 15.5 Improper Multivariable Integrals Interlude: Constructing Pedal Curves 16. Vector Calculus 16.1 Line Integrals 16.2 More on Line Integrals; A Fundamental Theorem 16.3 Green's Theorem: Relating Line and Area Integrals 16.4 Surfaces and Their Parameterizations 16.5 Surface Integrals 16.6 Derivatives and Integrals of Vector Fields 16.7 Back to Fundamentals: Stokes's Theorem and the Divergence Theorem Appendixes A. Matrices and Matrix Algebra: A Crash Course B. Theory of Multivariable Calculus: Brief Glimpses C. Table of Derivatives and Integrals
Synopsis
Ostebee and Zorn's approach applies reform principles to a rigorous calculus text. Conceptual understanding is the main goal of the text, and looking at mathematics from many representations (graphical, symbolic, numerical) is the main strategy for achieving this type of understanding. The key strengths of the text include combining symbolic manipulation with graphical and numerical representation, exercises of a varied nature and difficulty, and explanations written to be understandable to student readers.

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