{"product_id":"advanced-engineering-mathematics-international-adaptation-paperback-softback-9781394319466","title":"Advanced Engineering Mathematics, International Adaptation (Paperback \/ softback) 9781394319466","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eAdvanced Engineering Mathematics, International Adaptation\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cfont size=\"4\"\u003eErwin Kreyszig (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9781394319466, Wiley\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePaperback \/ softback, published 23 June 2025\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e1152 pages\u003cbr\u003e1 x 1 x 1 cm, 0.454 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003e\u003cp\u003e\u003ci\u003eAdvanced Engineering Mathematics, 11th Edition\u003c\/i\u003e, is known for its comprehensive coverage, careful and correct mathematics, outstanding exercises, and self-contained subject matter parts for maximum flexibility. It opens with ordinary differential equations and ends with the topic of mathematical statistics. The analysis chapters address: Fourier analysis and partial differential equations, complex analysis, and numeric analysis. The book is written by a pioneer in the field of applied mathematics. This comprehensive volume is designed to equip students and professionals with the mathematical tools necessary to tackle complex engineering challenges and drive innovation.\u003c\/p\u003e \u003cp\u003e \u003c\/p\u003e \u003cp\u003eThis edition of the text maintains those aspects of the previous editions that have led to the book being so successful. In addition to introducing a new appendix on emerging topics in applied mathematics, each chapter now features a dedicated section on how mathematical modeling and engineering can address environmental and societal challenges, promoting sustainability and ethical practices. This edition includes a revision of the problem sets, making them even more effective, useful, and up-to-date by adding the problems on open-source mathematical software.\u003c\/p\u003e\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e\u003ch2\u003e\u003cb\u003eTABLE OF CONTENTS\u003c\/b\u003e\u003c\/h2\u003e \u003cp\u003e\u003cb\u003ePART A Ordinary Differential Equations (ODEs)\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e \u003c\/p\u003e \u003cp\u003e\u003cb\u003eCHAPTER 1 First-Order ODEs\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e1.1 Basic Concepts. Modeling\u003c\/p\u003e \u003cp\u003e1.2 Geometric Meaning of \u003ci\u003ey’ \u003c\/i\u003e= ƒ(\u003ci\u003ex\u003c\/i\u003e, \u003ci\u003ey\u003c\/i\u003e). Direction Fields, Euler’s Method\u003c\/p\u003e \u003cp\u003e1.3 Separable ODEs. Modeling\u003c\/p\u003e \u003cp\u003e1.4 Exact ODEs. Integrating Factors\u003c\/p\u003e \u003cp\u003e1.5 Linear ODEs. Bernoulli Equation. Population Dynamics\u003c\/p\u003e \u003cp\u003e1.6 Orthogonal Trajectories. \u003ci\u003eOptional\u003c\/i\u003e\u003c\/p\u003e \u003cp\u003e1.7 Existence and Uniqueness of Solutions for Initial Value Problems\u003c\/p\u003e \u003cp\u003e Sustainability and Ethical Considerations\u003c\/p\u003e \u003cp\u003e Chapter 1 Review Questions and Problems\u003c\/p\u003e \u003cp\u003e Summary of Chapter 1\u003c\/p\u003e \u003cp\u003e \u003c\/p\u003e \u003cp\u003e\u003cb\u003eCHAPTER 2 Second-Order Linear ODEs\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e2.1 Homogeneous Linear ODEs of Second Order\u003c\/p\u003e \u003cp\u003e2.2 Homogeneous Linear ODEs with Constant Coefficients\u003c\/p\u003e \u003cp\u003e2.3 Differential Operators. \u003ci\u003eOptional\u003c\/i\u003e\u003c\/p\u003e \u003cp\u003e2.4 Modeling of Free Oscillations of a Mass–Spring System\u003c\/p\u003e \u003cp\u003e2.5 Euler–Cauchy Equations\u003c\/p\u003e \u003cp\u003e2.6 Existence and Uniqueness of Solutions. Wronskian\u003c\/p\u003e \u003cp\u003e2.7 Nonhomogeneous ODEs\u003c\/p\u003e \u003cp\u003e2.8 Modeling: Forced Oscillations. Resonance\u003c\/p\u003e \u003cp\u003e2.9 Modeling: Electric Circuits\u003c\/p\u003e \u003cp\u003e2.10 Solution by Variation of Parameters\u003c\/p\u003e \u003cp\u003eSustainability and Ethical Considerations\u003c\/p\u003e \u003cp\u003eChapter 2 Review Questions and Problems\u003c\/p\u003e \u003cp\u003eSummary of Chapter 2\u003c\/p\u003e \u003cp\u003e \u003c\/p\u003e \u003cp\u003e\u003cb\u003eCHAPTER 3 Higher Order Linear ODEs\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e3.1 Homogeneous Linear ODEs\u003c\/p\u003e \u003cp\u003e3.2 Homogeneous Linear ODEs with Constant Coefficients\u003c\/p\u003e \u003cp\u003e3.3 Nonhomogeneous Linear ODEs\u003c\/p\u003e \u003cp\u003eSustainability and Ethical Considerations\u003c\/p\u003e \u003cp\u003eChapter 3 Review Questions and Problems\u003c\/p\u003e \u003cp\u003eSummary of Chapter 3\u003c\/p\u003e \u003cp\u003e \u003c\/p\u003e \u003cp\u003e\u003cb\u003eCHAPTER 4 Systems of ODEs. Phase Plane. Qualitative Methods\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e4.0 For Reference: Basics of Matrices and Vectors\u003c\/p\u003e \u003cp\u003e4.1 Systems of ODEs as Models in Engineering Applications\u003c\/p\u003e \u003cp\u003e4.2 Basic Theory of Systems of ODEs. Wronskian\u003c\/p\u003e \u003cp\u003e4.3 Constant-Coefficient Systems. Phase Plane Method\u003c\/p\u003e \u003cp\u003e4.4 Criteria for Critical Points. Stability\u003c\/p\u003e \u003cp\u003e4.5 Qualitative Methods for Nonlinear Systems\u003c\/p\u003e \u003cp\u003e4.6 Nonhomogeneous Linear Systems of ODEs\u003c\/p\u003e \u003cp\u003eSustainability and Ethical Considerations\u003c\/p\u003e \u003cp\u003eChapter 4 Review Questions and Problems\u003c\/p\u003e \u003cp\u003eSummary of Chapter 4\u003c\/p\u003e \u003cp\u003e \u003c\/p\u003e \u003cp\u003e\u003cb\u003eCHAPTER 5 Series Solutions of ODEs. Special Functions\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e5.1 Power Series Method\u003c\/p\u003e \u003cp\u003e5.2 Legendre’s Equation. Legendre Polynomials \u003ci\u003e(x)\u003c\/i\u003e\u003c\/p\u003e \u003cp\u003e5.3 Extended Power Series Method: Frobenius Method\u003c\/p\u003e \u003cp\u003e5.4 Bessel’s Equation. Bessel Functions \u003ci\u003e(x)\u003c\/i\u003e\u003c\/p\u003e \u003cp\u003e5.5 Bessel Functions of the (\u003ci\u003ex\u003c\/i\u003e). General Solution\u003c\/p\u003e \u003cp\u003eSustainability and Ethical Considerations\u003c\/p\u003e \u003cp\u003eChapter 5 Review Questions and Problems\u003c\/p\u003e \u003cp\u003eSummary of Chapter 5\u003c\/p\u003e \u003cp\u003e \u003c\/p\u003e \u003cp\u003e\u003cb\u003eCHAPTER 6 Laplace Transforms\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e6.1 Laplace Transform. Linearity. First Shifting Theorem (\u003ci\u003es\u003c\/i\u003e-Shifting)\u003c\/p\u003e \u003cp\u003e6.2 Transforms of Derivatives and Integrals. ODEs\u003c\/p\u003e \u003cp\u003e6.3 Unit Step Function (Heaviside Function). Second Shifting Theorem (\u003ci\u003et\u003c\/i\u003e-Shifting)\u003c\/p\u003e \u003cp\u003e6.4 Short Impulses. Dirac’s Delta Function. Partial Fractions\u003c\/p\u003e \u003cp\u003e6.5 Convolution. Integral Equations\u003c\/p\u003e \u003cp\u003e6.6 Differentiation and Integration of Transforms. ODEs with Variable Coefficients\u003c\/p\u003e \u003cp\u003e6.7 Systems of ODEs\u003c\/p\u003e \u003cp\u003e6.8 Laplace Transform: General Formulas\u003c\/p\u003e \u003cp\u003e6.9 Table of Laplace Transforms\u003c\/p\u003e \u003cp\u003eSustainability and Ethical Considerations\u003c\/p\u003e \u003cp\u003eChapter 6 Review Questions and Problems\u003c\/p\u003e \u003cp\u003eSummary of Chapter 6\u003c\/p\u003e \u003cp\u003e\u003cb\u003e \u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003ePART B Linear Algebra. Vector Calculus\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e \u003c\/p\u003e \u003cp\u003e\u003cb\u003eCHAPTER 7 Linear Algebra: Matrices, Vectors, Determinants. Linear Systems\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e7.1 Matrices, Vectors: Addition and Scalar Multiplication\u003c\/p\u003e \u003cp\u003e7.2 Matrix Multiplication\u003c\/p\u003e \u003cp\u003e7.3 Linear Systems of Equations. Gauss Elimination\u003c\/p\u003e \u003cp\u003e7.4 Linear Independence. Rank of a Matrix. Vector Space\u003c\/p\u003e \u003cp\u003e7.5 Solutions of Linear Systems: Existence, Uniqueness\u003c\/p\u003e \u003cp\u003e7.6 For Reference: Second- and Third-Order Determinants\u003c\/p\u003e \u003cp\u003e7.7 Determinants. Cramer’s Rule\u003c\/p\u003e \u003cp\u003e7.8 Inverse of a Matrix. Gauss–Jordan Elimination\u003c\/p\u003e \u003cp\u003e7.9 Vector Spaces, Inner Product Spaces. Linear Transformations. \u003ci\u003eOptional\u003c\/i\u003e\u003c\/p\u003e \u003cp\u003eSustainability and Ethical Considerations\u003c\/p\u003e \u003cp\u003eChapter 7 Review Questions and Problems\u003c\/p\u003e \u003cp\u003eSummary of Chapter 7\u003c\/p\u003e \u003cp\u003e \u003c\/p\u003e \u003cp\u003e\u003cb\u003eCHAPTER 8 Linear Algebra: Matrix Eigenvalue Problems\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e8.1 The Matrix Eigenvalue Problem. Determining Eigenvalues and Eigenvectors\u003c\/p\u003e \u003cp\u003e8.2 Some Applications of Eigenvalue Problems\u003c\/p\u003e \u003cp\u003e8.3 Symmetric, Skew-Symmetric, and Orthogonal Matrices\u003c\/p\u003e \u003cp\u003e8.4 Eigenbases. Diagonalization. Quadratic Forms\u003c\/p\u003e \u003cp\u003e8.5 Complex Matrices and Forms. \u003ci\u003eOptional\u003c\/i\u003e\u003c\/p\u003e \u003cp\u003eSustainability and Ethical Considerations\u003c\/p\u003e \u003cp\u003eChapter 8 Review Questions and Problems\u003c\/p\u003e \u003cp\u003eSummary of Chapter 8\u003c\/p\u003e \u003cp\u003e \u003c\/p\u003e \u003cp\u003e\u003cb\u003eCHAPTER 9 Vector Differential Calculus. Grad, Div, Curl\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e9.1 Vectors in 2-Space and 3-Space\u003c\/p\u003e \u003cp\u003e9.2 Inner Product (Dot Product)\u003c\/p\u003e \u003cp\u003e9.3 Vector Product (Cross Product)\u003c\/p\u003e \u003cp\u003e9.4 Vector and Scalar Functions and Their Fields. Vector Calculus: Derivatives\u003c\/p\u003e \u003cp\u003e9.5 Curves. Arc Length. Curvature. Torsion\u003c\/p\u003e \u003cp\u003e9.6 Calculus Review: Functions of Several Variables. \u003ci\u003eOptional\u003c\/i\u003e\u003c\/p\u003e \u003cp\u003e9.7 Gradient of a Scalar Field. Directional Derivative\u003c\/p\u003e \u003cp\u003e9.8 Divergence of a Vector Field\u003c\/p\u003e \u003cp\u003e9.9 Curl of a Vector Field\u003c\/p\u003e \u003cp\u003eSustainability and Ethical Considerations\u003c\/p\u003e \u003cp\u003eChapter 9 Review Questions and Problems\u003c\/p\u003e \u003cp\u003eSummary of Chapter 9\u003c\/p\u003e \u003cp\u003e \u003c\/p\u003e \u003cp\u003e\u003cb\u003eCHAPTER 10 Vector Integral Calculus. Integral Theorems\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e10.1 Line Integrals\u003c\/p\u003e \u003cp\u003e10.2 Path Independence of Line Integrals\u003c\/p\u003e \u003cp\u003e10.3 Calculus Review: Double Integrals. \u003ci\u003eOptional\u003c\/i\u003e\u003c\/p\u003e \u003cp\u003e10.4 Green’s Theorem in the Plane\u003c\/p\u003e \u003cp\u003e10.5 Surfaces for Surface Integrals\u003c\/p\u003e \u003cp\u003e10.6 Surface Integrals\u003c\/p\u003e \u003cp\u003e10.7 Triple Integrals. Divergence Theorem of Gauss\u003c\/p\u003e \u003cp\u003e10.8 Further Applications of the Divergence Theorem\u003c\/p\u003e \u003cp\u003e10.9 Stokes’s Theorem\u003c\/p\u003e \u003cp\u003eSustainability and Ethical Considerations\u003c\/p\u003e \u003cp\u003eChapter 10 Review Questions and Problems\u003c\/p\u003e \u003cp\u003eSummary of Chapter 10\u003c\/p\u003e \u003cp\u003e\u003cb\u003e \u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003ePART C Fourier Analysis. Partial Differential Equations (PDEs)\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e \u003c\/p\u003e \u003cp\u003e\u003cb\u003eCHAPTER 11 Fourier Analysis\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e11.1 Fourier Series\u003c\/p\u003e \u003cp\u003e11.2 Arbitrary Period. Even and Odd Functions. Half-Range Expansions\u003c\/p\u003e \u003cp\u003e11.3 Forced Oscillations\u003c\/p\u003e \u003cp\u003e11.4 Approximation by Trigonometric Polynomials\u003c\/p\u003e \u003cp\u003e11.5 Sturm–Liouville Problems. Orthogonal Functions\u003c\/p\u003e \u003cp\u003e11.6 Orthogonal Series. Generalized Fourier Series\u003c\/p\u003e \u003cp\u003e11.7 Fourier Integral\u003c\/p\u003e \u003cp\u003e11.8 Fourier Cosine and Sine Transforms\u003c\/p\u003e \u003cp\u003e11.9 Fourier Transform. Discrete and Fast Fourier Transforms\u003c\/p\u003e \u003cp\u003e11.10 Tables of Transforms\u003c\/p\u003e \u003cp\u003eSustainability and Ethical Considerations\u003c\/p\u003e \u003cp\u003eChapter 11 Review Questions and Problems\u003c\/p\u003e \u003cp\u003eSummary of Chapter 11\u003c\/p\u003e \u003cp\u003e \u003c\/p\u003e \u003cp\u003e\u003cb\u003eCHAPTER 12 Partial Differential Equations (PDEs)\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e12.1 Basic Concepts of PDEs\u003c\/p\u003e \u003cp\u003e12.2 Modeling: Vibrating String, Wave Equation\u003c\/p\u003e \u003cp\u003e12.3 Solution by Separating Variables. Use of Fourier Series\u003c\/p\u003e \u003cp\u003e12.4 D’Alembert’s Solution of the Wave Equation. Characteristics\u003c\/p\u003e \u003cp\u003e12.5 Modeling: Heat Flow from a Body in Space. Heat Equation\u003c\/p\u003e \u003cp\u003e12.6 Heat Equation: Solution by Fourier Series. Steady Two-Dimensional Heat Problems. Dirichlet Problem\u003c\/p\u003e \u003cp\u003e12.7 Heat Equation: Modeling Very Long Bars. Solution by Fourier Integrals and Transforms\u003c\/p\u003e \u003cp\u003e12.8 Modeling: Membrane, Two-Dimensional Wave Equation\u003c\/p\u003e \u003cp\u003e12.9 Rectangular Membrane. Double Fourier Series\u003c\/p\u003e \u003cp\u003e12.10 Laplacian in Polar Coordinates. Circular Membrane. Fourier–Bessel Series\u003c\/p\u003e \u003cp\u003e12.11 Laplace’s Equation in Cylindrical and Spherical Coordinates. Potential\u003c\/p\u003e \u003cp\u003e12.12 Solution of PDEs by Laplace Transforms\u003c\/p\u003e \u003cp\u003eSustainability and Ethical Considerations\u003c\/p\u003e \u003cp\u003eChapter 12 Review Questions and Problems\u003c\/p\u003e \u003cp\u003eSummary of Chapter 12\u003c\/p\u003e \u003cp\u003e\u003cb\u003e \u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003ePART D Complex Analysis\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e \u003c\/p\u003e \u003cp\u003e\u003cb\u003eCHAPTER 13 Complex Numbers and Functions. Complex Differentiation\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e13.1 Complex Numbers and Their Geometric Representation\u003c\/p\u003e \u003cp\u003e13.2 Polar Form of Complex Numbers. Powers and Roots\u003c\/p\u003e \u003cp\u003e13.3 Derivative. Analytic Function\u003c\/p\u003e \u003cp\u003e13.4 Cauchy–Riemann Equations. Laplace’s Equation\u003c\/p\u003e \u003cp\u003e13.5 Exponential Function\u003c\/p\u003e \u003cp\u003e13.6 Trigonometric and Hyperbolic Functions. Euler’s Formula\u003c\/p\u003e \u003cp\u003e13.7 Logarithm. General Power. Principal Value\u003c\/p\u003e \u003cp\u003eSustainability and Ethical Considerations\u003c\/p\u003e \u003cp\u003eChapter 13 Review Questions and Problems\u003c\/p\u003e \u003cp\u003eSummary of Chapter 13\u003c\/p\u003e \u003cp\u003e \u003c\/p\u003e \u003cp\u003e\u003cb\u003eCHAPTER 14 Complex Integration\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e14.1 Line Integral in the Complex Plane\u003c\/p\u003e \u003cp\u003e14.2 Cauchy’s Integral Theorem\u003c\/p\u003e \u003cp\u003e14.3 Cauchy’s Integral Formula\u003c\/p\u003e \u003cp\u003e14.4 Derivatives of Analytic Functions\u003c\/p\u003e \u003cp\u003eSustainability and Ethical Considerations\u003c\/p\u003e \u003cp\u003eChapter 14 Review Questions and Problems\u003c\/p\u003e \u003cp\u003eSummary of Chapter 14\u003c\/p\u003e \u003cp\u003e\u003cb\u003e \u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003eCHAPTER 15 Power Series, Taylor Series\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e15.1 Sequences, Series, Convergence Tests\u003c\/p\u003e \u003cp\u003e15.2 Power Series\u003c\/p\u003e \u003cp\u003e15.3 Functions Given by Power Series\u003c\/p\u003e \u003cp\u003e15.4 Taylor and Maclaurin Series\u003c\/p\u003e \u003cp\u003e15.5 Uniform Convergence. \u003ci\u003eOptional\u003c\/i\u003e\u003c\/p\u003e \u003cp\u003eSustainability and Ethical Considerations\u003c\/p\u003e \u003cp\u003eChapter 15 Review Questions and Problems\u003c\/p\u003e \u003cp\u003eSummary of Chapter 15\u003c\/p\u003e \u003cp\u003e \u003c\/p\u003e \u003cp\u003e\u003cb\u003eCHAPTER 16 Laurent Series. Residue Integration\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e16.1 Laurent Series\u003c\/p\u003e \u003cp\u003e16.2 Singularities and Zeros. Infinity\u003c\/p\u003e \u003cp\u003e16.3 Residue Integration Method\u003c\/p\u003e \u003cp\u003e16.4 Residue Integration of Real Integrals\u003c\/p\u003e \u003cp\u003eSustainability and Ethical Considerations\u003c\/p\u003e \u003cp\u003eChapter 16 Review Questions and Problems\u003c\/p\u003e \u003cp\u003eSummary of Chapter 16\u003c\/p\u003e \u003cp\u003e \u003c\/p\u003e \u003cp\u003e\u003cb\u003eCHAPTER 17 Conformal Mapping\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e17.1 Geometry of Analytic Functions: Conformal Mapping\u003c\/p\u003e \u003cp\u003e17.2 Linear Fractional Transformations (Möbius Transformations)\u003c\/p\u003e \u003cp\u003e17.3 Special Linear Fractional Transformations\u003c\/p\u003e \u003cp\u003e17.4 Conformal Mapping by Other Functions\u003c\/p\u003e \u003cp\u003e17.5 Riemann Surfaces. \u003ci\u003eOptional\u003c\/i\u003e\u003c\/p\u003e \u003cp\u003eSustainability and Ethical Considerations\u003c\/p\u003e \u003cp\u003eChapter 17 Review Questions and Problems\u003c\/p\u003e \u003cp\u003eSummary of Chapter 17\u003c\/p\u003e \u003cp\u003e \u003c\/p\u003e \u003cp\u003e\u003cb\u003eCHAPTER 18 Complex Analysis and Potential Theory\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e18.1 Electrostatic Fields\u003c\/p\u003e \u003cp\u003e18.2 Use of Conformal Mapping. Modeling\u003c\/p\u003e \u003cp\u003e18.3 Heat Problems\u003c\/p\u003e \u003cp\u003e18.4 Fluid Flow\u003c\/p\u003e \u003cp\u003e18.5 Poisson’s Integral Formula for Potentials\u003c\/p\u003e \u003cp\u003e18.6 General Properties of Harmonic Functions. Uniqueness Theorem for the Dirichlet Problem\u003c\/p\u003e \u003cp\u003eSustainability and Ethical Considerations\u003c\/p\u003e \u003cp\u003eChapter 18 Review Questions and Problems\u003c\/p\u003e \u003cp\u003eSummary of Chapter 18\u003c\/p\u003e \u003cp\u003e\u003cb\u003e \u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003ePART E Numeric Analysis \u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003ci\u003e        \u003c\/i\u003e\u003cb\u003eSoftware\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e \u003c\/p\u003e \u003cp\u003e\u003cb\u003eCHAPTER 19 Numerics in General\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e19.1 Introduction\u003c\/p\u003e \u003cp\u003e19.2 Solution of Equations by Iteration\u003c\/p\u003e \u003cp\u003e19.3 Interpolation\u003c\/p\u003e \u003cp\u003e19.4 Spline Interpolation\u003c\/p\u003e \u003cp\u003e19.5 Numeric Integration and Differentiation\u003c\/p\u003e \u003cp\u003eSustainability and Ethical Considerations\u003c\/p\u003e \u003cp\u003eChapter 19 Review Questions and Problems\u003c\/p\u003e \u003cp\u003eSummary of Chapter 19\u003c\/p\u003e \u003cp\u003e \u003c\/p\u003e \u003cp\u003e\u003cb\u003eCHAPTER 20 Numeric Linear Algebra\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e20.1 Linear Systems: Gauss Elimination\u003c\/p\u003e \u003cp\u003e20.2 Linear Systems: LU-Factorization, Matrix Inversion\u003c\/p\u003e \u003cp\u003e20.3 Linear Systems: Solution by Iteration\u003c\/p\u003e \u003cp\u003e20.4 Linear Systems: Ill-Conditioning, Norms\u003c\/p\u003e \u003cp\u003e20.5 Least Squares Method\u003c\/p\u003e \u003cp\u003e20.6 Matrix Eigenvalue Problems: Introduction\u003c\/p\u003e \u003cp\u003e20.7 Inclusion of Matrix Eigenvalues\u003c\/p\u003e \u003cp\u003e20.8 Power Method for Eigenvalues\u003c\/p\u003e \u003cp\u003e20.9 Tridiagonalization and QR-Factorization\u003c\/p\u003e \u003cp\u003eSustainability and Ethical Considerations\u003c\/p\u003e \u003cp\u003eChapter 20 Review Questions and Problems\u003c\/p\u003e \u003cp\u003eSummary of Chapter 20\u003c\/p\u003e \u003cp\u003e \u003c\/p\u003e \u003cp\u003e\u003cb\u003eCHAPTER 21 Numerics for ODEs and PDEs\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e21.1 Methods for First-Order ODEs\u003c\/p\u003e \u003cp\u003e21.2 Multistep Methods\u003c\/p\u003e \u003cp\u003e21.3 Methods for Systems and Higher Order ODEs\u003c\/p\u003e \u003cp\u003e21.4 Methods for Elliptic PDEs\u003c\/p\u003e \u003cp\u003e21.5 Neumann and Mixed Problems. Irregular Boundary\u003c\/p\u003e \u003cp\u003e21.6 Methods for Parabolic PDEs\u003c\/p\u003e \u003cp\u003e21.7 Method for Hyperbolic PDEs\u003c\/p\u003e \u003cp\u003eSustainability and Ethical Considerations\u003c\/p\u003e \u003cp\u003eChapter 21 Review Questions and Problems\u003c\/p\u003e \u003cp\u003eSummary of Chapter 21\u003c\/p\u003e \u003cp\u003e\u003cb\u003e \u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003ePART F Optimization, Graphs \u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e \u003c\/p\u003e \u003cp\u003e\u003cb\u003eCHAPTER 22 Unconstrained Optimization. Linear Programming\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e22.1 Basic Concepts. Unconstrained Optimization: Method of Steepest Descent\u003c\/p\u003e \u003cp\u003e22.2 Linear Programming\u003c\/p\u003e \u003cp\u003e22.3 Simplex Method\u003c\/p\u003e \u003cp\u003e22.4 Simplex Method: Difficulties\u003c\/p\u003e \u003cp\u003eSustainability and Ethical Considerations\u003c\/p\u003e \u003cp\u003eChapter 22 Review Questions and Problems\u003c\/p\u003e \u003cp\u003eSummary of Chapter 22\u003c\/p\u003e \u003cp\u003e \u003c\/p\u003e \u003cp\u003e\u003cb\u003eCHAPTER 23 Graphs. Combinatorial Optimization\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e23.1 Graphs and Digraphs\u003c\/p\u003e \u003cp\u003e23.2 Shortest Path Problems. Complexity\u003c\/p\u003e \u003cp\u003e23.3 Bellman’s Principle. Dijkstra’s Algorithm\u003c\/p\u003e \u003cp\u003e23.4 Shortest Spanning Trees: Greedy Algorithm\u003c\/p\u003e \u003cp\u003e23.5 Shortest Spanning Trees: Prim’s Algorithm\u003c\/p\u003e \u003cp\u003e23.6 Flows in Networks\u003c\/p\u003e \u003cp\u003e23.7 Maximum Flow: Ford–Fulkerson Algorithm\u003c\/p\u003e \u003cp\u003e23.8 Bipartite Graphs. Assignment Problems\u003c\/p\u003e \u003cp\u003eSustainability and Ethical Considerations\u003c\/p\u003e \u003cp\u003eChapter 23 Review Questions and Problems\u003c\/p\u003e \u003cp\u003eSummary of Chapter 23\u003c\/p\u003e \u003cp\u003e\u003cb\u003e \u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003ePART G Probability, Statistics              (\u003ci\u003eavailable online\u003c\/i\u003e)\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003e      Software \u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003e \u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003eCHAPTER 24 Data Analysis. Probability Theory\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e24.1 Data Representation. Average. Spread\u003c\/p\u003e \u003cp\u003e24.2 Experiments, Outcomes, Events\u003c\/p\u003e \u003cp\u003e24.3 Probability\u003c\/p\u003e \u003cp\u003e24.4 Permutations and Combinations\u003c\/p\u003e \u003cp\u003e24.5 Random Variables. Probability Distributions\u003c\/p\u003e \u003cp\u003e24.6 Mean and Variance of a Distribution\u003c\/p\u003e \u003cp\u003e24.7 Binomial, Poisson, and Hypergeometric Distributions\u003c\/p\u003e \u003cp\u003e24.8 Normal Distribution\u003c\/p\u003e \u003cp\u003e24.9 Distributions of Several Random Variables\u003c\/p\u003e \u003cp\u003eSustainability and Ethical Considerations\u003c\/p\u003e \u003cp\u003eChapter 24 Review Questions and Problems\u003c\/p\u003e \u003cp\u003eSummary of Chapter 24\u003c\/p\u003e \u003cp\u003e \u003c\/p\u003e \u003cp\u003e\u003cb\u003eCHAPTER 25 Mathematical Statistics\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e25.1 Introduction. Random Sampling\u003c\/p\u003e \u003cp\u003e25.2 Point Estimation of Parameters\u003c\/p\u003e \u003cp\u003e25.3 Confidence Intervals\u003c\/p\u003e \u003cp\u003e25.4 Testing Hypotheses. Decisions\u003c\/p\u003e \u003cp\u003e25.5 Quality Control\u003c\/p\u003e \u003cp\u003e25.6 Acceptance Sampling\u003c\/p\u003e \u003cp\u003e25.7 Goodness of Fit. \u003ci\u003eχ\u003c\/i\u003e2-Test\u003c\/p\u003e \u003cp\u003e25.8 Nonparametric Tests\u003c\/p\u003e \u003cp\u003e25.9 Regression. Fitting Straight Lines. Correlation\u003c\/p\u003e \u003cp\u003eSustainability and Ethical Considerations\u003c\/p\u003e \u003cp\u003eChapter 25 Review Questions and Problems\u003c\/p\u003e \u003cp\u003eSummary of Chapter 25\u003c\/p\u003e \u003cp\u003e \u003c\/p\u003e \u003cp\u003e\u003cb\u003ePROJECTs \u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003e \u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003eAPPENDIX 1 References \u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e \u003c\/p\u003e \u003cp\u003e\u003cb\u003eAPPENDIX 2 Answers to Odd-Numbered Problems (\u003ci\u003eavailable online\u003c\/i\u003e)\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e \u003c\/p\u003e \u003cp\u003e\u003cb\u003eAPPENDIX 3 Auxiliary Material\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eA3.1 Formulas for Special Functions\u003c\/p\u003e \u003cp\u003eA3.2 Partial Derivatives\u003c\/p\u003e \u003cp\u003eA3.3 Sequences and Series\u003c\/p\u003e \u003cp\u003eA3.4 Grad, Div, Curl,  in Curvilinear Coordinates\u003c\/p\u003e \u003cp\u003e \u003c\/p\u003e \u003cp\u003e\u003cb\u003eAPPENDIX 4 Additional Proofs\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e \u003c\/p\u003e \u003cp\u003e\u003cb\u003eAPPENDIX 5 Tables\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003e \u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003eAPPENDIX 6 Emerging Topics in Applied Mathematics \u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e \u003c\/p\u003e \u003cp\u003e\u003cb\u003eINDEX\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e \u003c\/p\u003e \u003cp\u003e\u003cb\u003ePHOTO CREDITS\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e \u003c\/p\u003e \u003cp\u003e \u003c\/p\u003e \u003cp\u003e \u003c\/p\u003e \u003cp\u003e\u003cb\u003e \u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e \u003c\/p\u003e\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Mathematics [\u003ca title=\"See our other books on Mathematics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Mathematics%20%5BPB%5D%22\"\u003ePB\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Wiley","offers":[{"title":"Brand New","offer_id":52453539676440,"sku":"9781394319466","price":56.99,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/files\/9781394319466.jpg?v=1785286050","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/advanced-engineering-mathematics-international-adaptation-paperback-softback-9781394319466","provider":"Freshly Printed Books","version":"1.0","type":"link"}