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Advanced Engineering Mathematics, 8e by Peter V. O'Neil NEW Paperback

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Características del artículo

Estado
Nuevo: Libro nuevo, sin usar y sin leer, que está en perfecto estado; incluye todas las páginas sin ...
Book Title
Advanced Engineering Mathematics, 8e
Topic
EDUCATION
Genre
EDUCATION
Original Language
ENGLISH
ISBN
9781337274524

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Product Identifiers

Publisher
Cengage Learning
ISBN-10
1337274526
ISBN-13
9781337274524
eBay Product ID (ePID)
228966327

Product Key Features

Number of Pages
1024 Pages
Language
English
Publication Name
Advanced Engineering Mathematics, Si Edition
Publication Year
2017
Subject
Engineering (General), General
Features
Revised
Type
Textbook
Author
Peter V. O'Neil
Subject Area
Technology & Engineering
Format
Trade Paperback

Dimensions

Item Height
9.9 in
Item Weight
52.9 Oz
Item Length
1.2 in
Item Width
8 in

Additional Product Features

Edition Number
8
Intended Audience
College Audience
LCCN
2016-958774
Dewey Edition
23
Illustrated
Yes
Dewey Decimal
515.02462
Table Of Content
PART I: ORDINARY DIFFERENTIAL EQUATIONS.1. First-Order Differential Equations.Terminology and Separable Equations. Singular Solutions, Linear Equations. Exact Equations. Homogeneous, Bernoulli and Riccati Equations.2. Second-Order Differential Equations.The Linear Second-Order Equation. The Constant Coefficient Homogeneous Equation. Particular Solutions of the Nonhomogeneous Equation. The Euler Differential Equation, Series Solutions. Frobenius Series Solutions.3. The Laplace Transform.Definition and Notation. Solution of Initial Value Problems. The Heaviside Function and Shifting Theorems. Convolution. Impulses and the Dirac Delta Function. Systems of Linear Differential Equations.4. Eigenfunction Expansions.Eigenvalues, Eigenfunctions, and Sturm-Liouville Problems. Eigenfunction Expansions, Fourier Series.Part II: PARTIAL DIFFERENTIAL EQUATIONS.5. The Heat Equation.Diffusion Problems in a Bounded Medium. The Heat Equation with a Forcing Term F(x,t). The Heat Equation on the Real Line. A Reformulation of the Solution on the Real Line. The Heat Equation on a Half-Line, The Two-Dimensional Heat Equation.6. The Wave Equation.Wave Motion on a Bounded Interval. The Effect of c on the Motion. Wave Motion with a Forcing Term F(x). Wave Motion in an Unbounded Medium. The Wave Equation on the Real Line. d'Alembert's Solution and Characteristics. The Wave Equation with a Forcing Term K(x,t). The Wave Equation in Higher Dimensions.7. Laplace's Equation.The Dirichlet Problem for a Rectangle. Dirichlet Problem for a Disk. The Poisson Integral Formula. The Dirichlet Problem for Unbounded Regions. A Dirichlet Problem in 3 Dimensions. The Neumann Problem. Poisson's Equation.8. Special Functions and Applications.Legendre Polynomials. Bessel Functions. Some Applications of Bessel Functions.9. Transform Methods of Solution.Laplace Transform Methods. Fourier Transform Methods. Fourier Sine and Cosine Transforms.Part III: MATRICES AND LINEAR ALGEBRA.10. Vectors and the Vector Space Rn.Vectors in the Plane and 3 - Space. The Dot Product. The Cross Product. n-Vectors and the Algebraic Structure of Rn. Orthogonal Sets and Orthogonalization. Orthogonal Complements and Projections.11. Matrices, Determinants and Linear Systems.Matrices and Matrix Algebra. Row Operations and Reduced Matrices. Solution of Homogeneous Linear Systems. Solution of Nonhomogeneous Linear Systems. Matrix Inverses. Determinants, Cramer's Rule. The Matrix Tree Theorem.12. Eigenvalues, Diagonalization and Special Matrices.Eigenvalues and Eigenvectors. Diagonalization. Special Matrices and Their Eigenvalues and Eigenvectors. Quadratic Forms.PART IV: SYSTEMS OF DIFFERENTIAL EQUATIONS.13. Systems of Linear Differential Equations.Linear Systems. Solution of X' = AX When A Is Constant. Exponential Matrix Solutions. Solution of X' = AX + G for Constant A.14. Nonlinear Systems and Qualitative Analysis.Nonlinear Systems and Phase Portraits. Critical Points and Stability. Almost Linear Systems, Linearization.Part V: VECTOR ANALYSIS. 15. Vector Differential Calculus.Vector Functions of One Variable. Velocity, Acceleration, and Curvature. The Gradient Field. Divergence and Curl. Streamlines of a Vector Field.16. Vector Integral Calculus.Line Integrals. Green's Theorem. Independence of Path and Potential Theory. Surface Integrals. Applications of Surface Integrals. Gauss's Divergence Theorem. Stokes's Theorem.PART VI: FOURIER ANALYSIS.17. Fourier Series.Fourier Series On [-L, L]. Fourier Sine and Cosine Series. Integration and Differentiation of Fourier Series. Properties of Fourier Coefficients. Phase Angle Form. Complex Fourier Series, Filtering of Signals.18. Fourier Transforms.The Fourier Transform. Fourier Sine and Cosine Transforms.PART VII: COMPLEX FUNCTIONS.19. Complex Numbers and Functions.Geometry and Arithmetic of Complex Numbers. Complex Functions, Limits. The Exponential and Trigonometric Functions. The Complex Logarithm. Powers.20. I
Edition Description
Revised edition
Synopsis
ADVANCED ENGINEERING MATHEMATICS, 8E is written specifically for students like you, who are primarily interested in how to effectively apply mathematical techniques to solve advanced engineering problems. Numerous examples include illustrations of mathematical techniques as well as applications. A "Math in Context" feature clearly demonstrates how the mathematical concepts and methods you are learning relate to current engineering problems. The book is organized into seven distinctive parts to provide precise focus on the individual mathematical ideas and methods. A student solutions manual offers detailed solutions to half of the problems in the book for your use in checking your progress as well as study and review.
LC Classification Number
TA330

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