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eBook Details:
Full title: Multivariable Calculus, 9th Edition
Edition: 9th
Copyright year: 2021
Publisher: Cengage Learning
Author: James Stewart; Daniel K. Clegg; Saleem Watson
ISBN: 9780357042922, 9780357746943
Format: PDF
Description of Multivariable Calculus, 9th Edition:
James Stewart’s Calculus series is the top-seller in the world because of its problem-solving focus, mathematical precision and accuracy, and outstanding examples and problem sets. Selected and mentored by Stewart, Daniel Clegg and Saleem Watson continue his legacy of providing students with the strongest foundation for a STEM future. Their careful refinements retain Stewart’s clarity of exposition and make the 9th edition even more usable as a teaching tool for instructors and as a learning tool for students. Showing that Calculus is both practical and beautiful, the Stewart approach enhances understanding and builds confidence for millions of students worldwide.Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.
Table of Contents of Multivariable Calculus, 9th Edition PDF ebook:
ContentsPrefaceTechnology in the Ninth EditionTo the StudentChapter 10: Parametric Equations and Polar Coordinates10.1 Curves Defined by Parametric Equations10.2 Calculus with Parametric Curves10.3 Polar Coordinates10.4 Calculus in Polar Coordinates10.5 Conic Sections10.6 Conic Sections in Polar Coordinates10 ReviewProblems PlusChapter 11: Sequences, Series, and Power Series11.1 Sequences11.2 Series11.3 The Integral Test and Estimates of Sums11.4 The Comparison Tests11.5 Alternating Series and Absolute Convergence11.6 The Ratio and Root Tests11.7 Strategy for Testing Series11.8 Power Series11.9 Representations of Functions as Power Series11.10 Taylor and Maclaurin Series11.11 Applications of Taylor Polynomials11 ReviewProblems PlusChapter 12: Vectors and the Geometry of Space12.1 Three-Dimensional Coordinate Systems12.2 Vectors12.3 The Dot Product12.4 The Cross Product12.5 Equations of Lines and Planes12.6 Cylinders and Quadric Surfaces12 ReviewProblems PlusChapter 13: Vector Functions13.1 Vector Functions and Space Curves13.2 Derivatives and Integrals of Vector Functions13.3 Arc Length and Curvature13.4 Motion in Space: Velocity and Acceleration13 ReviewProblems PlusChapter 14: Partial Derivatives14.1 Functions of Several Variables14.2 Limits and Continuity14.3 Partial Derivatives14.4 Tangent Planes and Linear Approximations14.5 The Chain Rule14.6 Directional Derivatives and the Gradient Vector14.7 Maximum and Minimum Values14.8 Lagrange Multipliers14 ReviewProblems PlusChapter 15: Multiple Integrals15.1 Double Integrals over Rectangles15.2 Double Integrals over General Regions15.3 Double Integrals in Polar Coordinates15.4 Applications of Double Integrals15.5 Surface Area15.6 Triple Integrals15.7 Triple Integrals in Cylindrical Coordinates15.8 Triple Integrals in Spherical Coordinates15.9 Change of Variables in Multiple Integrals15 ReviewProblems PlusChapter 16: Vector Calculus16.1 Vector Fields16.2 Line Integrals16.3 The Fundamental Theorem for Line Integrals16.4 Green’s Theorem16.5 Curl and Divergence16.6 Parametric Surfaces and Their Areas16.7 Surface Integrals16.8 Stokes’ Theorem16.9 The Divergence Theorem16.10 Summary16 ReviewProblems PlusAppendixesAppendix F: Proofs of TheoremsAppendix G: Answers to Odd-Numbered ExercisesIndex
