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08479nam a22002177a 4500 |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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20210217124734.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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210216b ||||| |||| 00| 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9789384323271 |
| 040 ## - CATALOGING SOURCE |
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| Transcribing agency |
VITAP |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Edition number |
23rd |
| Classification number |
510.2462 ZIL |
| 100 ## - MAIN ENTRY--PERSONAL NAME |
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| 9 (RLIN) |
10576 |
| Personal name |
Zill, Dennis G. |
| 245 ## - TITLE STATEMENT |
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| Title |
Advanced Engineering Mathematics / |
| Statement of responsibility, etc. |
Dennis G. Zill |
| 250 ## - EDITION STATEMENT |
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| Edition statement |
6th ed. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. |
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| Place of publication, distribution, etc. |
New Delhi |
| Name of publisher, distributor, etc. |
Jones & Bartlett India Pvt. Ltd. |
| Date of publication, distribution, etc. |
2017 |
| 300 ## - PHYSICAL DESCRIPTION |
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| Extent |
xvi, 943p. : ill. ; Appendices: APP1-APP13; ANS-1 to ANS46; I-1 to I-19; 27cm |
| 500 ## - GENERAL NOTE |
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| General note |
It includes Appendix, Answers to Selected Odd-Numbered Problems and Index Pages |
| 521 ## - TARGET AUDIENCE NOTE |
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| Target audience note |
Modern and comprehensive, the new sixth edition of award-winning author, Dennis G. Zill’s Advanced Engineering Mathematics is a compendium of topics that are most often covered in courses in engineering mathematics, and is extremely flexible to meet the unique needs of courses ranging from ordinary differential equations, to vector calculus, to partial differential equations. A key strength of this best-selling text is the author’s emphasis on differential equations as mathematical models, discussing the constructs and pitfalls of each. An accessible writing style and robust pedagogical aids guide students through difficult concepts with thoughtful explanations, clear examples, interesting applications, and contributed project problems.<br/><br/>Contents:<br/><br/>Preface<br/><br/>Part 1: Ordinary Differential Equations<br/><br/>Chapter 1: Introduction to Differential Equations• Definitions and Terminology • Initial-Value Problems • Differential Equations as Mathematical Models • Chapter 1 in Review<br/><br/>Chapter 2: First-Order Differential Equations• Solution Curves Without a Solution • Direction Fields • Autonomous First-Order DEs • Separable Equations • Linear Equations • Exact Equations • Solutions by Substitutions • A Numerical Method • Linear Models • Nonlinear Models • Modeling with Systems of First-Order DEs • Chapter 2 in Review<br/><br/>Chapter 3: Higher-Order Differential Equations• Theory of Linear Equations • Initial-Value and Boundary-Value Problems • Homogeneous Equations • Nonhomogeneous Equations • Reduction of Order • Homogeneous Linear Equations with Constant Coefficients • Undetermined Coefficients • Variation of Parameters • Cauchy-Euler Equations • Nonlinear Equations • Linear Models: Initial-Value Problems • Spring/Mass Systems: Free Undamped Motion • Spring/Mass Systems: Free Damped Motion • Spring/Mass Systems: Driven Motion • Series Circuit Analogue • Linear Models: Boundary-Value Problems • Green’s Functions • Initial-Value Problems • Boundary-Value Problems • Nonlinear Models • Solving Systems of Linear Equations • Chapter 3 in Review<br/><br/>Chapter 4: The Laplace Transform • Definition of the Laplace Transform • The Inverse Transform and Transforms of Derivatives • Inverse Transforms • Transforms of Derivatives • Translation Theorems • Translation on the s-axis • Translation on the t-axis • Additional Operational Properties • Derivatives of Transforms • Transforms of Integrals • Transform of a Periodic Function • The Dirac Delta Function • Systems of Linear Differential Equations • Chapter 4 in Review<br/><br/>Chapter 5: Series Solutions of Linear Differential Equations • Solutions about Ordinary Points • Review of Power Series • Power Series Solutions • Solutions about Singular Points • Special Functions • Bessel Functions • Legendre Functions • Chapter 5 in Review<br/><br/>Chapter 6: Numerical Solutions of Ordinary Differential Equations • Euler Methods and Error Analysis • Runge-Kutta Methods • Multistep Methods • Higher-Order Equations and Systems • Second-Order Boundary-Value Problems • Chapter 6 in Review<br/><br/>Part 2: Vectors, Matrices, and Vector Calculus<br/><br/>Chapter 7: Vectors • Vectors in 2-Space • Vectors in 3-Space • Dot Product • Cross Product • Lines and Planes in 3-Space • Vector Spaces • Gram-Schmidt Orthogonalization Process • Chapter 7 in Review<br/><br/>Chapter 8: Matrices • Matrix Algebra • Systems of Linear Algebraic Equations • Rank of a Matrix • Determinants • Properties of Determinants • Inverse of a Matrix • Finding the Inverse • Using the Inverse to Solve Systems • Cramer’s Rule • The Eigenvalue Problem • Powers of Matrices • Orthogonal Matrices • Approximation of Eigenvalues • Diagonalization • LU-Factorization • Cryptography • An Error-Correcting Code • Method of Least Squares • Discrete Compartmental Models • Chapter 8 in Review<br/><br/>Chapter 9: Vector Calculus • Vector Functions • Motion on a Curve • Curvature and Components of Acceleration • Partial Derivatives • Directional Derivative • Tangent Planes and Normal Lines • Curl and Divergence • Line Integrals • Independence of the Path • Double Integrals • Double Integrals in Polar Coordinates • Green’s Theorem • Surface Integrals • Stokes’ Theorem • Triple Integrals • Divergence Theorem • Change of Variables in Multiple Integrals • Chapter 9 in Review<br/><br/>Part 3: Systems of Differential Equations<br/><br/>Chapter 10: Systems of Linear Differential Equations• Theory of Linear Systems • Homogeneous Linear Systems • Distinct Real Eigenvalues • Repeated Eigenvalues • Complex Eigenvalues • Solution by Diagonalization • Nonhomogeneous Linear Systems • Undetermined Coefficients • Variation of Parameters • Diagonalization • Matrix Exponential • Chapter 10 in Review<br/><br/>Chapter 11: Systems of Nonlinear Differential Equations • Autonomous Systems • Stability of Linear Systems • Linearization and Local Stability • Autonomous Systems as Mathematical Models <br/>• Periodic Solutions, Limit Cycles, and Global Stability • Chapter 11 in Review<br/><br/>Part 4: Partial Differential Equations<br/><br/>Chapter 12: Orthogonal Functions and Fourier Series• Orthogonal Functions • Fourier Series • Fourier Cosine and Sine Series • Complex Fourier Series • Sturm-Liouville Problem • Bessel and Legendre Series • Fourier-Bessel Series • Fourier-Legendre Series • Chapter 12 in Review<br/><br/>Chapter 13: Boundary-Value Problems in Rectangular Coordinates • Separable Partial Differential Equations • Classical PDEs and Boundary-Value Problems • Heat Equation • Wave Equation • Laplace’s Equation • Nonhomogeneous Boundary-Value Problems • Orthogonal Series Expansions • Fourier Series in Two Variables • Chapter 13 in Review<br/><br/>Chapter 14: Boundary-Value Problems in Other Coordinate Systems • Polar Coordinates • Cylindrical Coordinates • Spherical Coordinates • Chapter 14 in Review<br/><br/>Chapter 15: Integral Transform Method • Error Function • Applications of the Laplace Transform • Fourier Integral • Fourier Transforms • Fast Fourier Transform • Chapter 15 in Review<br/><br/>Chapter 16: Numerical Solutions of Partial Differential Equations • Laplace’s Equation • Heat Equation • Wave Equation • Chapter 16 in Review<br/><br/>Part 5: Complex Analysis<br/><br/>Chapter 17: Functions of a Complex Variable • Complex Numbers • Powers and Roots • Sets in the Complex Plane • Functions of a Complex Variable • Cauchy—Riemann Equations • Exponential and Logarithmic Functions • Trigonometric and Hyperbolic Functions • Inverse Trigonometric and Hyperbolic Functions • Chapter 17 in Review<br/><br/>Chapter 18: Integration in the Complex Plane• Contour Integrals • Cauchy-Goursat Theorem <br/>• Independence of the Path • Cauchy’s Integral Formulas • Chapter 18 in Review<br/><br/>Chapter 19: Series and Residues • Sequences and Series • Taylor Series • Laurent Series • Zeros and Poles • Residues and Residue Theorem • Evaluation of Real Integrals • Chapter 19 in Review<br/><br/>Chapter 20: Conformal Mappings • Complex Functions as Mappings • Conformal Mappings <br/>• Linear Fractional Transformations • Schwarz-Christoffel Transformations • Poisson Integral Formulas • Applications • Chapter 20 in Review<br/><br/>Appendices • I Derivative and Integral Formulas • II Gamma Function • III Table of Laplace Transforms • IV Conformal Mappings<br/><br/>Answers to Selected Odd-Numbered Problem<br/><br/>Index |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| 9 (RLIN) |
10590 |
| Topical term or geographic name entry element |
Engineering mathematics |
| 856 ## - ELECTRONIC LOCATION AND ACCESS |
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| Uniform Resource Identifier |
<a href="http://www.vivagroupindia.com/frmBookDetail.aspx?BookId=12804&Status=N">http://www.vivagroupindia.com/frmBookDetail.aspx?BookId=12804&Status=N</a> |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
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| Source of classification or shelving scheme |
Dewey Decimal Classification |
| Koha item type |
Reference Book |
| Edition |
6th Ed. |
| Classification part |
510.2462 |
| Call number suffix |
ZIL |
