Advanced engineering mathematics / (Record no. 29708)
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| fixed length control field | 06212nam a22003855i 4500 |
| 085 ## - SYNTHESIZED CLASSIFICATION NUMBER COMPONENTS | |
| -- | 23 |
| Number where instructions are found-single number or beginning number of span | COECS 620.0015 On25 |
| 001 - CONTROL NUMBER | |
| control field | 19249346 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | OSt |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20190707232643.0 |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION | |
| fixed length control field | ta |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 180205b2018 mau||||| |||| 00| 0 eng d |
| 010 ## - LIBRARY OF CONGRESS CONTROL NUMBER | |
| LC control number | 2016952398 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9781305635159 |
| 040 ## - CATALOGING SOURCE | |
| Original cataloging agency | DLC |
| Language of cataloging | eng |
| Description conventions | rda |
| Transcribing agency | |
| Modifying agency | HNU |
| 042 ## - AUTHENTICATION CODE | |
| Authentication code | pcc |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Edition number | 23 |
| Classification number | 620.0015 On25 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | O'Neil, Peter V. |
| 9 (RLIN) | 12650 |
| 245 10 - TITLE STATEMENT | |
| Title | Advanced engineering mathematics / |
| Statement of responsibility, etc. | Peter V. O'Neil. |
| 250 ## - EDITION STATEMENT | |
| Edition statement | 8th edition. |
| 263 ## - PROJECTED PUBLICATION DATE | |
| Projected publication date | 1610 |
| 264 ## - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Place of production, publication, distribution, manufacture | Boston, Massachusetts, USA : |
| Name of producer, publisher, distributor, manufacturer | Cengage Learning, |
| Date of production, publication, distribution, manufacture, or copyright notice | ©2018. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | xvii, 839 pages ; |
| Dimensions | 26 cm. |
| 336 ## - CONTENT TYPE | |
| Content type term | text. |
| Content type code | text. |
| 521 ## - TARGET AUDIENCE NOTE | |
| Target audience note | College of Engineering and Computer Studies |
| 500 ## - GENERAL NOTE | |
| General note | Includes index. |
| 505 ## - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 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. Integration.The Integral of a Complex Function. Cauchy's Theorem. Consequences of Cauchy's Theorem.21. Series Representations of Functions.Power Series. The Laurent Expansion.22. Singularities and the Residue Theorem.Classification of Singularities. The Residue Theorem. Evaluation of Real Integrals.23. Conformal Mappings.The Idea of a Conformal Mapping. Construction of Conformal Mappings.Notation.ANSWERS TO SELECTED PROBLEMS. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc. | "Now you can make rigorous mathematical topics accessible to your students by emphasizing visuals, numerous examples, and interesting mathematical models with O'Neil's ADVANCED ENGINEERING MATHEMATICS, 8E. New "Math in Context" broadens the engineering connections for your students by clearly demonstrating how mathematical concepts are applied to current engineering problems. You have the flexibility to select additional topics that are best for your individual course, including many new web modules"-- Cengage Learning. |
| 521 ## - TARGET AUDIENCE NOTE | |
| Target audience note | College of Engineering and Computer Studies |
| Source | |
| 546 ## - LANGUAGE NOTE | |
| Language note | Text in English |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Engineering mathematics. |
| 9 (RLIN) | 8816 |
| 906 ## - LOCAL DATA ELEMENT F, LDF (RLIN) | |
| a | 0 |
| b | ibc |
| c | orignew |
| d | 2 |
| e | epcn |
| f | 20 |
| g | y-gencatlg |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Source of classification or shelving scheme | |
| Koha item type | Books |
| Classification part | 600-699 |
No items available.
