Introduction to Calculus and Analysis (Volume - 2)

Introduction to Calculus and Analysis (Volume - 2) (English, Paperback, Courant Richard 1888-1972)

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Introduction to Calculus and Analysis (Volume - 2)  (English, Paperback, Courant Richard 1888-1972)

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    Highlights
    • Language: English
    • Binding: Paperback
    • Publisher: Springer, India, Private Ltd
    • Genre: Mathematics
    • ISBN: 9788181281692, 9788181281692
    • Pages: 412
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  • Description
    Table of Contents
    Relations Between Surface and Volume Integrals
    • Connection Between Line Integrals and Double Integrals in the Plane
    • Vector Form of the Divergence Theorem.
    • Stokes's Theorem
    • Formula for Integration by Parts in Two Dimensions: Green's Theorem
    • The Divergence Theorem Applied to the Transformation of Double Integrals
    • Area Differentiation
    • Interpretation of the Formulae of Gauss and Stokes by Two-Dimensional Flows
    • Orientation of Surfaces
    • Integrals of Differential Forms and of Scalars over Surfaces
    • Gauss's and Green's Theorems in Space
    • Appendix: General Theory of Surfaces and of Surface Integrals
    Differential Equations
    • The Differential Equations for the Motion of a Particle in Three Dimensions
    • The General Linear Differential Equation of the First Order
    • Linear Differential Equations of Higher Order
    • General Differential Equations of the First Order
    • Systems of Differential Equations and Differential Equations of Higher Order
    • Integration by the Method of Undermined Coefficients
    • The Potential of Attracting Charges and Laplace's Equation
    • Further Examples of Partial Differential Equations from Mathematical Physics
    Calculus of Variations
    • Functions and Their Extreme Values of a Functional
    • Generalizations
    • Problems Involving Subsidiary Conditions.
    • Lagrange Multipliers
    Functions of a Complex Variable
    • Complex Functions Represented by Power Series
    • Foundations of the General Theory of Functions of a Complex Variable
    • The Integration of Analytic Functions
    • Cauchy's Formula and Its Applications
    • Applications to Complex Integration (Contour Integration)
    • Many-Valued Functions and Analytic Extension
    • List of Biographical Dates
    • Index
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    Specifications
    Book Details
    Imprint
    • Springer, India, Private Ltd
    University Books Details
    Specialization
    • Chemical Engineering, Aeronautical Engineering, Biotechnology, Civil Engineering, Electronics and Communication Engineering, Information Technology Engineering, Computer Science Engineering, Electrical Engineering, Mechanical Engineering
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    Ratings & Reviews
    4.3
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    good book

    I am really amazed with this book..so good for students want to larn mathematics, as a student i have been inspired by the book greatly.
    READ MORE

    supriya saha

    Certified Buyer, Kolkata

    Jan, 2015

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