Sale!

Solution Manual fo Elements of Advanced Engineering Mathematics (1st Edition) by Peter V. O’neil

By:  
  • ISBN-10:  0495668184 / ISBN-13:  9780495668183
  • Ebook Details

    • Edition: 7th Edition 201st Edition2
    • Format: Downloadable ZIP Fille
    • Resource Type : Solution Manual
    • Duration: Unlimited downloads
    • Delivery: Instant Download
     

    $40.00 $30.00

    SKU: 4088 Categories: ,

    Table of contents:

    Part I: ORDINARY DIFFERENTIAL EQUATIONS
    1. First-Order Differential Equations
    Terminology and Separable Equations. Linear Equations. Exact Equations. Additional Applications. Existence and Uniqueness Questions. Direction Fields. Numerical Approximation of Solutions.
    2. Linear Second-Order Equations
    Theory of the Linear Second-Order Equation. The Constant Coefficient Homogeneous Equation. Solutions of the Nonhomogeneous Equation. Spring Motion.
    3. The Laplace Transform
    Definition and Notation. Solution of Initial Value Problems. Shifting and the Heaviside Function. Convolution. Impulses and the Dirac Delta Function. Appendix on Partial Fractions Decompositions.
    4. Series Solutions
    Power Series Solutions. Frobenius Solutions.
    Part II: VECTORS, LINEAR ALGEBRA, AND SYSTEMS OF LINEAR DIFFERENTIAL EQUATIONS.
    5. Algebra and Geometry of Vectors
    Vectors in the Plane and 3-Space. The Dot Product. The Cross Product. The Vector Space Rn.
    6. Matrices and Systems of Linear Equations
    Matrices. Linear Homogeneous Systems. Nonhomogeneous Systems of Linear Equations. Matrix Inverses.
    7. Determinants
    Definition of the Determinant. Evaluation of Determinants I. Evaluation of Determinants II. A Determinant Formula for A−1. Cramer’s Rule.
    8. Eigenvalues and Diagonalization
    Eigenvalues and Eigenvectors. Diagonalization. Some Special Matrices.
    9. Systems of Linear Differential Equations
    Systems of Linear Differential Equations. Solution of X_ = AX when A Is Constant. Solution of X_ = AX + G.
    Part III: VECTOR ANALYSIS
    10. Vector Differential Calculus
    Vector Functions of One Variable. Velocity and Curvature. Vector Fields and Streamlines. The Gradient Field. Divergence and Curl.
    11. Vector Integral Calculus
    Line Integrals. Green’s Theorem. An Extension of Green’s Theorem. Potential Theory. Surface Integrals. Applications of Surface Integrals. The Divergence Theorem of Gauss. Stokes’s Theorem.
    Part IV: FOURIER ANALYSIS AND EIGENFUNCTION EXPANSIONS
    12. Fourier Series
    The Fourier Series of a Function. Sine and Cosine Series. Derivatives and Integrals of Fourier Series. Complex Fourier Series.
    13. The Fourier Integral and Transforms
    The Fourier Integral. Fourier Cosine and Sine Integrals. The Fourier Transform. Fourier Cosine and Sine Transforms.
    14 Eigenfunction Expansions
    General Eigenfunction Expansions. Fourier-Legendre Expansions. Fourier-Bessel Expansions.
    Part V: PARTIAL DIFFERENTIAL EQUATIONS
    15. The Wave Equation
    Derivation of the Equation. Wave Motion on an Interval. Wave Motion in an Infinite Medium. Wave Motion in a Semi-Infinite Medium. d’Alembert’s Solution. Vibrations in a Circular Membrane. Vibrations in a Rectangular Membrane.
    16. The Heat Equation
    Initial and Boundary Conditions. The Heat Equation on [0, L]. Solutions in an Infinite Medium. Heat Conduction in an Infinite Cylinder. Heat Conduction in a Rectangular Plate.
    17. The Potential Equation
    Laplace’s Equation. Dirichlet Problem for a Rectangle. Dirichlet Problem for a Disk. Poisson’s Integral Formula. Dirichlet Problem for Unbounded Regions. A Dirichlet Problem for a Cube. Steady-State Heat Equation for a Sphere.
    APPENDIX A Guide to Notation
    APPENDIX B A MAPLE Primer
    Answers to Selected Problems
    Index

    Reviews

    There are no reviews yet.

    Be the first to review “Solution Manual fo Elements of Advanced Engineering Mathematics (1st Edition) by Peter V. O’neil”

    Additional Information


    Resource Type:

    Ebook Title:

    Authors:

    Publisher: