Multivariable Calculus – James Stewart – 5th Edition


Stewart’s CALCULUS, Fifth Edition has the mathematical precision, accuracy, clarity of exposition and outstanding examples and problem sets that have characterized the first four editions. Stewart retains the focus on problem solving and the pedagogical system that has made the book a favorite of students and instructors in a wide variety of colleges and universities throughout the world.

In this Fifth Edition, he has made hundreds of small improvements: new examples, additional steps in existing examples, updating of data in existing examples and exercises, new phrases and margin notes to clarify the exposition, references to other sources and web sites, redrawn art, and references to the TEC CD (Tools for Enriching Calculus). These refinements ensure that students and instructors have the best materials available. The number of pages in the book, however, remains unchanged from the 4th edition. Further support for students and instructors is now available through a vast array of supplementary material.

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  • 10. Polar parametric equations and coordinates
    10.1 Curves defined by parametric equations
    10.2 Tangents and areas
    10.3 Arc length and area of ​​a surface
    10.4 Polar coordinates
    10.5 Areas and longitudes in polar coordinates
    10.6 Conical Sections
    10.7 Conic Sections in Polar Coordinates

    11. Inheritance and infinite series
    11.1 Successions
    11.2 Series
    11.3 Proof of the integral and estimation of sums
    11.4 Tests by comparison
    11.5 Alternating Series
    11.6 Absolute convergence and the proofs of reason and root
    11.7 Series testing strategy
    11.8 Power series
    11.9 Representation of functions as series of powers
    11.10 Series of Taylor and Maclaurin
    11.11 Binomial series
    11.12 Applications of Taylo polynomials

    12. Vectors and geometry of space
    12.1 Three-dimensional coordinate systems
    12.2 Vectors
    12.3 Point product
    12.4 Cross product
    12.5 Equations of lines and planes
    12.6 Cylinders and Quadratic Surfaces
    12.7 Cylindrical and spherical coordinates

    13. Vector Functions
    13.1 Vector functions and curves in space
    13.2 Derivatives and integrals of vector functions
    13.3 Arc Length and Curvature
    13.4 Movement in space: speed and acceleration

    14. Partial Derivatives
    14.1 Functions of several variables
    14.2 Limits and continuity
    14.3 Partial Derivatives
    14.4 Tangent planes and linear approximations
    14.5 String rules
    14.6 Directional Derivatives and Gradient Vector
    14.7 Maximum and minimum values
    14.8 Lagrange multipliers

    15. Multiple integrals
    15.1 Double integrals on rectangles
    15.2 Iterated Integrals
    15.3 Double integrals on general regions
    15.4 Double integrals in polar coordinates
    15.5 Applications of double integrals
    15.6 Area of ​​a surface
    15.7 Triple Integrals
    15.8 Triple integrals in cylindrical and spherical coordinates
    15.9 Change of variables in multiple integrals

    16. Vector Calculation
    16.1 Vector Fields
    16.2 Line Integrals
    16.3 Fundamental Theorem for Line Integrals
    16.4 Green's Theorem
    16.5 Rotational and Divergence
    16.6 Parametric surfaces and their areas
    16.7 Surface Integrals
    16.8 Stokes's Theorem
    16.9 Divergence Theorem
    16.10 Summary

    17. Second order differential equations
    17.1 Second order linear equations
    17.2 Non-homogeneous linear equations
    17.3 Applications of Second Order Differential Equations
    17.4 Series solutions

    F. Demonstrations of theorems
    G. Complex Numbers
    H. Answers to odd exercises
  • Citation
    • Full Title: Calculation of Various Variables
    • Author/s:
    • ISBN-10: 053439339x
    • ISBN-13: 9780534393397
    • Edition: 5th Edition
    • Topic: Calculus
    • Subtopic: Multivariable Calculus
    • Volumen: Volumen 2
    • File Type: eBook | Solution Manual
    • Idioma: English

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