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Advanced engineering mathematics

Author: Erwin Kreyszig; Herbert Kreyszig; E J Norminton
Publisher: Hoboken, NJ : John Wiley, ©2011.
Edition/Format:   Print book : English : 10th edView all editions and formats
Summary:
Of Chapter 1 P.44

Of Chapter 2 P.103

Of Chapter 3 P.123

Of Chapter 4 P.165

Of Chapter 5 P.201

Of Chapter 6 P.253

Of Chapter 7 P.320

Of Chapter 8 P.353

Of Chapter 9 P.410

Of Chapter 10 P.470

Of Chapter 11 P.538

Of Chapter 12 P.604

Of Chapter 13 P.641

Of Chapter 14 P.669

Of Chapter 15 P.706

Of Chapter 16 P.734

Of Chapter 17 P.757

Of Chapter 18 P.786

Of Chapter 19 P.842

Of Chapter 20 P.898

Of Chapter 21 P.946

Of Chapter 22 P.969

Of Chapter 23 P.1007

Of Chapter 24 P.1060

Of Chapter 25 P.1112  Read more...

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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Erwin Kreyszig; Herbert Kreyszig; E J Norminton
ISBN: 9780470458365 0470458364
OCLC Number: 743041061
Description: 1 volume (various pagings) : illustrations ; 27 cm
Contents: Machine generated contents note: pt. A Ordinary Differential Equations (ODEs) --
ch. 1 First-Order ODEs --
1.1.Basic Concepts. Modeling --
1.2.Geometric Meaning of y' = f(x, y). Direction Fields, Euler's Method --
1.3.Separable ODEs. Modeling --
1.4.Exact ODEs. Integrating Factors --
1.5.Linear ODEs. Bernoulli Equation. Population Dynamics --
1.6.Orthogonal Trajectories. Optional --
1.7.Existence and Uniqueness of Solutions for Initial Value Problems --
ch. 1 Review Questions and Problems --
Summary of Chapter 1 --
ch. 2 Second-Order Linear ODEs --
2.1.Homogeneous Linear ODEs of Second Order --
2.2.Homogeneous Linear ODEs with Constant Coefficients --
2.3.Differential Operators. Optional --
2.4.Modeling of Free Oscillations of a Mass-Spring System --
2.5.Euler-Cauchy Equations --
2.6.Existence and Uniqueness of Solutions. Wronskian --
2.7.Nonhomogeneous ODEs --
2.8.Modeling: Forced Oscillations. Resonance --
2.9.Modeling: Electric Circuits Note continued: 2.10.Solution by Variation of Parameters --
ch. 2 Review Questions and Problems --
Summary of Chapter 2 --
ch. 3 Higher Order Linear ODEs --
3.1.Homogeneous Linear ODEs --
3.2.Homogeneous Linear ODEs with Constant Coefficients --
3.3.Nonhomogeneous Linear ODEs --
ch. 3 Review Questions and Problems --
Summary of Chapter 3 --
ch. 4 Systems of ODEs. Phase Plane. Qualitative Methods --
4.0.For Reference: Basics of Matrices and Vectors --
4.1.Systems of ODEs as Models in Engineering Applications --
4.2.Basic Theory of Systems of ODEs. Wronskian --
4.3.Constant-Coefficient Systems. Phase Plane Method --
4.4.Criteria for Critical Points. Stability --
4.5.Qualitative Methods for Nonlinear Systems --
4.6.Nonhomogeneous Linear Systems of ODEs --
ch. 4 Review Questions and Problems --
Summary of Chapter 4 --
ch. 5 Series Solutions of ODEs. Special Functions --
5.1.Power Series Method --
5.2.Legendre's Equation. Legendre Polynomials Pn(x) Note continued: 5.3.Extended Power Series Method: Frobenius Method --
5.4.Bessel's Equation. Bessel Functions Jv(x) --
5.5.Bessel Functions of the Yv(x). General Solution --
ch. 5 Review Questions and Problems --
Summary of Chapter 5 --
ch. 6 Laplace Transforms --
6.1.Laplace Transform. Linearity. First Shifting Theorem (s-Shifting) --
6.2.Transforms of Derivatives and Integrals. ODEs --
6.3.Unit Step Function (Heaviside Function). Second Shifting Theorem (t-Shifting) --
6.4.Short Impulses. Dirac's Delta Function. Partial Fractions --
6.5.Convolution. Integral Equations --
6.6.Differentiation and Integration of Transforms. ODEs with Variable Coefficients --
6.7.Systems of ODEs --
6.8.Laplace Transform: General Formulas --
6.9.Table of Laplace Transforms --
ch. 6 Review Questions and Problems --
Summary of Chapter 6 --
pt. B Linear Algebra. Vector Calculus --
ch. 7 Linear Algebra: Matrices, Vectors, Determinants. Linear Systems Note continued: 7.1.Matrices, Vectors: Addition and Scalar Multiplication --
7.2.Matrix Multiplication --
7.3.Linear Systems of Equations. Gauss Elimination --
7.4.Linear Independence. Rank of a Matrix. Vector Space --
7.5.Solutions of Linear Systems: Existence, Uniqueness --
7.6.For Reference: Second- and Third-Order Determinants --
7.7.Determinants. Cramer's Rule --
7.8.Inverse of a Matrix. Gauss-Jordan Elimination --
7.9.Vector Spaces, Inner Product Spaces. Linear Transformations. Optional --
ch. 7 Review Questions and Problems --
Summary of Chapter 7 --
ch. 8 Linear Algebra: Matrix Eigenvalue Problems --
8.1.The Matrix Eigenvalue Problem. Determining Eigenvalues and Eigenvectors --
8.2.Some Applications of Eigenvalue Problems --
8.3.Symmetric, Skew-Symmetric, and Orthogonal Matrices --
8.4.Eigenbases. Diagonalization. Quadratic Forms --
8.5.Complex Matrices and Forms. Optional --
ch. 8 Review Questions and Problems --
Summary of Chapter 8 Note continued: ch. 9 Vector Differential Calculus. Grad, Div, Curl --
9.1.Vectors in 2-Space and 3-Space --
9.2.Inner Product (Dot Product) --
9.3.Vector Product (Cross Product) --
9.4.Vector and Scalar Functions and Their Fields. Vector Calculus: Derivatives --
9.5.Curves. Are Length. Curvature. Torsion --
9.6.Calculus Review: Functions of Several Variables. Optional --
9.7.Gradient of a Scalar Field. Directional Derivative --
9.8.Divergence of a Vector Field --
9.9.Curl of a Vector Field --
ch. 9 Review Questions and Problems --
Summary of Chapter 9 --
ch. 10 Vector Integral Calculus. Integral Theorems --
10.1.Line Integrals --
10.2.Path Independence of Line Integrals --
10.3.Calculus Review: Double Integrals. Optional --
10.4.Green's Theorem in the Plane --
10.5.Surfaces for Surface Integrals --
10.6.Surface Integrals --
10.7.Triple Integrals. Divergence Theorem of Gauss --
10.8.Further Applications of the Divergence Theorem --
10.9.Stokes's Theorem Note continued: ch. 10 Review Questions and Problems --
Summary of Chapter 10 --
pt. C Fourier Analysis. Partial Differential Equations (PDEs) --
ch. 11 Fourier Analysis --
11.1.Fourier Series --
11.2.Arbitrary Period. Even and Odd Functions. Half-Range Expansions --
11.3.Forced Oscillations --
11.4.Approximation by Trigonometric Polynomials --
11.5.Sturm-Liouville Problems. Orthogonal Functions --
11.6.Orthogonal Series. Generalized Fourier Series --
11.7.Fourier Integral --
11.8.Fourier Cosine and Sine Transforms --
11.9.Fourier Transform. Discrete and Fast Fourier Transforms --
11.10.Tables of Transforms --
ch. 11 Review Questions and Problems --
Summary of Chapter 11 --
ch. 12 Partial Differential Equations (PDEs) --
12.1.Basic Concepts of PDEs --
12.2.Modeling: Vibrating String, Wave Equation --
12.3.Solution by Separating Variables. Use of Fourier Series --
12.4.D'Alembert's Solution of the Wave Equation. Characteristics Note continued: 12.5.Modeling: Heat Flow from a Body in Space, Heat Equation --
12.6.Heat Equation: Solution by Fourier Series. Steady Two-Dimensional Heat Problems. Dirichlet Problem --
12.7.Heat Equation: Modeling Very Long Bars. Solution by Fourier Integrals and Transforms --
12.8.Modeling: Membrane, Two-Dimensional Wave Equation --
12.9.Rectangular Membrane. Double Fourier Series --
12.10.Laplacian in Polar Coordinates. Circular Membrane. Fourier-Bessel Series --
12.11.Laplace's Equation in Cylindrical and Spherical Coordinates. Potential --
12.12.Solution of PDEs by Laplace Transforms --
ch. 12 Review Questions and Problems --
Summary of Chapter 12 --
pt. D Complex Analysis --
ch. 13 Complex Numbers and Functions. Complex Differentiation --
13.1.Complex Numbers and Their Geometric Representation --
13.2.Polar Form of Complex Numbers. Powers and Roots --
13.3.Derivative. Analytic Function --
13.4.Cauchy-Riemann Equations. Laplace's Equation Note continued: 13.5.Exponential Function --
13.6.Trigonometric and Hyperbolic Functions. Euler's Formula --
13.7.Logarithm. General Power. Principal Value --
ch. 13 Review Questions and Problems --
Summary of Chapter 13 --
ch. 14 Complex Integration --
14.1.Line Integral in the Complex Plane --
14.2.Cauchy's Integral Theorem --
14.3.Cauchy's Integral Formula --
14.4.Derivatives of Analytic Functions --
ch. 14 Review Questions and Problems --
Summary of Chapter 14 --
ch. 15 Power Series, Taylor Series --
15.1.Sequences, Series, Convergence Tests --
15.2.Power Series --
15.3.Functions Given by Power Series --
15.4.Taylor and Maclaurin Series --
15.5.Uniform Convergence. Optional --
ch. 15 Review Questions and Problems --
Summary of Chapter 15 --
ch. 16 Laurent Series. Residue Integration --
16.1.Laurent Series --
16.2.Singularities and Zeros. Infinity --
16.3.Residue Integration Method --
16.4.Residue Integration of Real Integrals Note continued: ch. 16 Review Questions and Problems --
Summary of Chapter 16 --
ch. 17 Conformal Mapping --
17.1.Geometry of Analytic Functions: Conformal Mapping --
17.2.Linear Fractional Transformations (Mobius Transformations) --
17.3.Special Linear Fractional Transformations --
17.4.Conformal Mapping by Other Functions --
17.5.Riemann Surfaces. Optional --
ch. 17 Review Questions and Problems --
Summary of Chapter 17 --
ch. 18 Complex Analysis and Potential Theory --
18.1.Electrostatic Fields --
18.2.Use of Conformal Mapping. Modeling --
18.3.Heat Problems --
18.4.Fluid Flow --
18.5.Poisson's Integral Formula for Potentials --
18.6.General Properties of Harmonic Functions. Uniqueness Theorem for the Dirichlet Problem --
ch. 18 Review Questions and Problems --
Summary of Chapter 18 --
pt. E Numeric Analysis --
Software --
ch. 19 Numerics in General --
19.1.Introduction --
19.2.Solution of Equations by Iteration --
19.3.Interpolation --
19.4.Spline Interpolation Note continued: 19.5.Numeric Integration and Differentiation --
ch. 19 Review Questions and Problems --
Summary of Chapter 19 --
ch. 20 Numeric Linear Algebra --
20.1.Linear Systems: Gauss Elimination --
20.2.Linear Systems: LU-Factorization, Matrix Inversion --
20.3.Linear Systems: Solution by Iteration --
20.4.Linear Systems: Ill-Conditioning, Norms --
20.5.Least Squares Method --
20.6.Matrix Eigenvalue Problems: Introduction --
20.7.Inclusion of Matrix Eigenvalues --
20.8.Power Method for Eigenvalues --
20.9.Tridiagonalization and QR-Factorization --
ch. 20 Review Questions and Problems --
Summary of Chapter 20 --
ch. 21 Numerics for ODEs and PDEs --
21.1.Methods for First-Order ODEs --
21.2.Multistep Methods --
21.3.Methods for Systems and Higher Order ODEs --
21.4.Methods for Elliptic PDEs --
21.5.Neumann and Mixed Problems. Irregular Boundary --
21.6.Methods for Parabolic PDEs --
21.7.Method for Hyperbolic PDEs --
ch. 21 Review Questions and Problems Note continued: Summary of Chapter 21 --
pt. F Optimization, Graphs --
ch. 22 Unconstrained Optimization. Linear Programming --
22.1.Basic Concepts. Unconstrained Optimization: Method of Steepest Descent --
22.2.Linear Programming --
22.3.Simplex Method --
22.4.Simplex Method: Difficulties --
ch. 22 Review Questions and Problems --
Summary of Chapter 22 --
ch. 23 Graphs. Combinatorial Optimization --
23.1.Graphs and Digraphs --
23.2.Shortest Path Problems. Complexity --
23.3.Bellman's Principle. Dijkstra's Algorithm --
23.4.Shortest Spanning Trees: Greedy Algorithm --
23.5.Shortest Spanning Trees: Prim's Algorithm --
23.6.Flows in Networks --
23.7.Maximum Flow: Ford-Fulkerson Algorithm --
23.8.Bipartite Graphs. Assignment Problems --
ch. 23 Review Questions and Problems --
Summary of Chapter 23 --
pt. G Probability, Statistics --
Software --
ch. 24 Data Analysis. Probability Theory --
24.1.Data Representation. Average. Spread --
24.2.Experiments, Outcomes, Events
Responsibility: Erwin Kreyszig ; in collaboration with Herbert Kreyszig, Edward J. Norminton.
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The tenth edition of this bestselling text includes examples in more detail and more applied exercises; both changes are aimed at making the material more relevant and accessible to readers. Kreyszig  Read more...

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Primary Entity

<http://www.worldcat.org/oclc/743041061> # Advanced engineering mathematics
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    schema:author <http://viaf.org/viaf/57079894> ; # Erwin Kreyszig
    schema:author <http://viaf.org/viaf/4274746> ; # Edward J. Norminton
    schema:author <http://viaf.org/viaf/271455548> ; # Herbert Kreyszig
    schema:bookEdition "10th ed." ;
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    schema:description "Of Chapter 19 P.842"@en ;
    schema:description "Of Chapter 1 P.44"@en ;
    schema:description "Of Chapter 18 P.786"@en ;
    schema:description "Of Chapter 8 P.353"@en ;
    schema:description "Of Chapter 9 P.410"@en ;
    schema:description "Of Chapter 13 P.641"@en ;
    schema:description "Of Chapter 12 P.604"@en ;
    schema:description "Of Chapter 3 P.123"@en ;
    schema:description "Of Chapter 24 P.1060"@en ;
    schema:description "Machine generated contents note: pt. A Ordinary Differential Equations (ODEs) -- ch. 1 First-Order ODEs -- 1.1.Basic Concepts. Modeling -- 1.2.Geometric Meaning of y' = f(x, y). Direction Fields, Euler's Method -- 1.3.Separable ODEs. Modeling -- 1.4.Exact ODEs. Integrating Factors -- 1.5.Linear ODEs. Bernoulli Equation. Population Dynamics -- 1.6.Orthogonal Trajectories. Optional -- 1.7.Existence and Uniqueness of Solutions for Initial Value Problems -- ch. 1 Review Questions and Problems -- Summary of Chapter 1 -- ch. 2 Second-Order Linear ODEs -- 2.1.Homogeneous Linear ODEs of Second Order -- 2.2.Homogeneous Linear ODEs with Constant Coefficients -- 2.3.Differential Operators. Optional -- 2.4.Modeling of Free Oscillations of a Mass-Spring System -- 2.5.Euler-Cauchy Equations -- 2.6.Existence and Uniqueness of Solutions. Wronskian -- 2.7.Nonhomogeneous ODEs -- 2.8.Modeling: Forced Oscillations. Resonance -- 2.9.Modeling: Electric Circuits"@en ;
    schema:description "Note continued: ch. 16 Review Questions and Problems -- Summary of Chapter 16 -- ch. 17 Conformal Mapping -- 17.1.Geometry of Analytic Functions: Conformal Mapping -- 17.2.Linear Fractional Transformations (Mobius Transformations) -- 17.3.Special Linear Fractional Transformations -- 17.4.Conformal Mapping by Other Functions -- 17.5.Riemann Surfaces. Optional -- ch. 17 Review Questions and Problems -- Summary of Chapter 17 -- ch. 18 Complex Analysis and Potential Theory -- 18.1.Electrostatic Fields -- 18.2.Use of Conformal Mapping. Modeling -- 18.3.Heat Problems -- 18.4.Fluid Flow -- 18.5.Poisson's Integral Formula for Potentials -- 18.6.General Properties of Harmonic Functions. Uniqueness Theorem for the Dirichlet Problem -- ch. 18 Review Questions and Problems -- Summary of Chapter 18 -- pt. E Numeric Analysis -- Software -- ch. 19 Numerics in General -- 19.1.Introduction -- 19.2.Solution of Equations by Iteration -- 19.3.Interpolation -- 19.4.Spline Interpolation"@en ;
    schema:description "Of Chapter 2 P.103"@en ;
    schema:description "Note continued: 19.5.Numeric Integration and Differentiation -- ch. 19 Review Questions and Problems -- Summary of Chapter 19 -- ch. 20 Numeric Linear Algebra -- 20.1.Linear Systems: Gauss Elimination -- 20.2.Linear Systems: LU-Factorization, Matrix Inversion -- 20.3.Linear Systems: Solution by Iteration -- 20.4.Linear Systems: Ill-Conditioning, Norms -- 20.5.Least Squares Method -- 20.6.Matrix Eigenvalue Problems: Introduction -- 20.7.Inclusion of Matrix Eigenvalues -- 20.8.Power Method for Eigenvalues -- 20.9.Tridiagonalization and QR-Factorization -- ch. 20 Review Questions and Problems -- Summary of Chapter 20 -- ch. 21 Numerics for ODEs and PDEs -- 21.1.Methods for First-Order ODEs -- 21.2.Multistep Methods -- 21.3.Methods for Systems and Higher Order ODEs -- 21.4.Methods for Elliptic PDEs -- 21.5.Neumann and Mixed Problems. Irregular Boundary -- 21.6.Methods for Parabolic PDEs -- 21.7.Method for Hyperbolic PDEs -- ch. 21 Review Questions and Problems"@en ;
    schema:description "Note continued: 12.5.Modeling: Heat Flow from a Body in Space, Heat Equation -- 12.6.Heat Equation: Solution by Fourier Series. Steady Two-Dimensional Heat Problems. Dirichlet Problem -- 12.7.Heat Equation: Modeling Very Long Bars. Solution by Fourier Integrals and Transforms -- 12.8.Modeling: Membrane, Two-Dimensional Wave Equation -- 12.9.Rectangular Membrane. Double Fourier Series -- 12.10.Laplacian in Polar Coordinates. Circular Membrane. Fourier-Bessel Series -- 12.11.Laplace's Equation in Cylindrical and Spherical Coordinates. Potential -- 12.12.Solution of PDEs by Laplace Transforms -- ch. 12 Review Questions and Problems -- Summary of Chapter 12 -- pt. D Complex Analysis -- ch. 13 Complex Numbers and Functions. Complex Differentiation -- 13.1.Complex Numbers and Their Geometric Representation -- 13.2.Polar Form of Complex Numbers. Powers and Roots -- 13.3.Derivative. Analytic Function -- 13.4.Cauchy-Riemann Equations. Laplace's Equation"@en ;
    schema:description "Note continued: 5.3.Extended Power Series Method: Frobenius Method -- 5.4.Bessel's Equation. Bessel Functions Jv(x) -- 5.5.Bessel Functions of the Yv(x). General Solution -- ch. 5 Review Questions and Problems -- Summary of Chapter 5 -- ch. 6 Laplace Transforms -- 6.1.Laplace Transform. Linearity. First Shifting Theorem (s-Shifting) -- 6.2.Transforms of Derivatives and Integrals. ODEs -- 6.3.Unit Step Function (Heaviside Function). Second Shifting Theorem (t-Shifting) -- 6.4.Short Impulses. Dirac's Delta Function. Partial Fractions -- 6.5.Convolution. Integral Equations -- 6.6.Differentiation and Integration of Transforms. ODEs with Variable Coefficients -- 6.7.Systems of ODEs -- 6.8.Laplace Transform: General Formulas -- 6.9.Table of Laplace Transforms -- ch. 6 Review Questions and Problems -- Summary of Chapter 6 -- pt. B Linear Algebra. Vector Calculus -- ch. 7 Linear Algebra: Matrices, Vectors, Determinants. Linear Systems"@en ;
    schema:description "Of Chapter 7 P.320"@en ;
    schema:description "Of Chapter 23 P.1007"@en ;
    schema:description "Of Chapter 15 P.706"@en ;
    schema:description "Of Chapter 14 P.669"@en ;
    schema:description "Note continued: ch. 9 Vector Differential Calculus. Grad, Div, Curl -- 9.1.Vectors in 2-Space and 3-Space -- 9.2.Inner Product (Dot Product) -- 9.3.Vector Product (Cross Product) -- 9.4.Vector and Scalar Functions and Their Fields. Vector Calculus: Derivatives -- 9.5.Curves. Are Length. Curvature. Torsion -- 9.6.Calculus Review: Functions of Several Variables. Optional -- 9.7.Gradient of a Scalar Field. Directional Derivative -- 9.8.Divergence of a Vector Field -- 9.9.Curl of a Vector Field -- ch. 9 Review Questions and Problems -- Summary of Chapter 9 -- ch. 10 Vector Integral Calculus. Integral Theorems -- 10.1.Line Integrals -- 10.2.Path Independence of Line Integrals -- 10.3.Calculus Review: Double Integrals. Optional -- 10.4.Green's Theorem in the Plane -- 10.5.Surfaces for Surface Integrals -- 10.6.Surface Integrals -- 10.7.Triple Integrals. Divergence Theorem of Gauss -- 10.8.Further Applications of the Divergence Theorem -- 10.9.Stokes's Theorem"@en ;
    schema:description "Of Chapter 22 P.969"@en ;
    schema:description "Of Chapter 17 P.757"@en ;
    schema:description "Of Chapter 11 P.538"@en ;
    schema:description "Of Chapter 21 P.946"@en ;
    schema:description "Of Chapter 25 P.1112"@en ;
    schema:description "Of Chapter 6 P.253"@en ;
    schema:description "Of Chapter 16 P.734"@en ;
    schema:description "Note continued: Summary of Chapter 21 -- pt. F Optimization, Graphs -- ch. 22 Unconstrained Optimization. Linear Programming -- 22.1.Basic Concepts. Unconstrained Optimization: Method of Steepest Descent -- 22.2.Linear Programming -- 22.3.Simplex Method -- 22.4.Simplex Method: Difficulties -- ch. 22 Review Questions and Problems -- Summary of Chapter 22 -- ch. 23 Graphs. Combinatorial Optimization -- 23.1.Graphs and Digraphs -- 23.2.Shortest Path Problems. Complexity -- 23.3.Bellman's Principle. Dijkstra's Algorithm -- 23.4.Shortest Spanning Trees: Greedy Algorithm -- 23.5.Shortest Spanning Trees: Prim's Algorithm -- 23.6.Flows in Networks -- 23.7.Maximum Flow: Ford-Fulkerson Algorithm -- 23.8.Bipartite Graphs. Assignment Problems -- ch. 23 Review Questions and Problems -- Summary of Chapter 23 -- pt. G Probability, Statistics -- Software -- ch. 24 Data Analysis. Probability Theory -- 24.1.Data Representation. Average. Spread -- 24.2.Experiments, Outcomes, Events"@en ;
    schema:description "Of Chapter 10 P.470"@en ;
    schema:description "Note continued: 7.1.Matrices, Vectors: Addition and Scalar Multiplication -- 7.2.Matrix Multiplication -- 7.3.Linear Systems of Equations. Gauss Elimination -- 7.4.Linear Independence. Rank of a Matrix. Vector Space -- 7.5.Solutions of Linear Systems: Existence, Uniqueness -- 7.6.For Reference: Second- and Third-Order Determinants -- 7.7.Determinants. Cramer's Rule -- 7.8.Inverse of a Matrix. Gauss-Jordan Elimination -- 7.9.Vector Spaces, Inner Product Spaces. Linear Transformations. Optional -- ch. 7 Review Questions and Problems -- Summary of Chapter 7 -- ch. 8 Linear Algebra: Matrix Eigenvalue Problems -- 8.1.The Matrix Eigenvalue Problem. Determining Eigenvalues and Eigenvectors -- 8.2.Some Applications of Eigenvalue Problems -- 8.3.Symmetric, Skew-Symmetric, and Orthogonal Matrices -- 8.4.Eigenbases. Diagonalization. Quadratic Forms -- 8.5.Complex Matrices and Forms. Optional -- ch. 8 Review Questions and Problems -- Summary of Chapter 8"@en ;
    schema:description "Note continued: 13.5.Exponential Function -- 13.6.Trigonometric and Hyperbolic Functions. Euler's Formula -- 13.7.Logarithm. General Power. Principal Value -- ch. 13 Review Questions and Problems -- Summary of Chapter 13 -- ch. 14 Complex Integration -- 14.1.Line Integral in the Complex Plane -- 14.2.Cauchy's Integral Theorem -- 14.3.Cauchy's Integral Formula -- 14.4.Derivatives of Analytic Functions -- ch. 14 Review Questions and Problems -- Summary of Chapter 14 -- ch. 15 Power Series, Taylor Series -- 15.1.Sequences, Series, Convergence Tests -- 15.2.Power Series -- 15.3.Functions Given by Power Series -- 15.4.Taylor and Maclaurin Series -- 15.5.Uniform Convergence. Optional -- ch. 15 Review Questions and Problems -- Summary of Chapter 15 -- ch. 16 Laurent Series. Residue Integration -- 16.1.Laurent Series -- 16.2.Singularities and Zeros. Infinity -- 16.3.Residue Integration Method -- 16.4.Residue Integration of Real Integrals"@en ;
    schema:description "Note continued: ch. 10 Review Questions and Problems -- Summary of Chapter 10 -- pt. C Fourier Analysis. Partial Differential Equations (PDEs) -- ch. 11 Fourier Analysis -- 11.1.Fourier Series -- 11.2.Arbitrary Period. Even and Odd Functions. Half-Range Expansions -- 11.3.Forced Oscillations -- 11.4.Approximation by Trigonometric Polynomials -- 11.5.Sturm-Liouville Problems. Orthogonal Functions -- 11.6.Orthogonal Series. Generalized Fourier Series -- 11.7.Fourier Integral -- 11.8.Fourier Cosine and Sine Transforms -- 11.9.Fourier Transform. Discrete and Fast Fourier Transforms -- 11.10.Tables of Transforms -- ch. 11 Review Questions and Problems -- Summary of Chapter 11 -- ch. 12 Partial Differential Equations (PDEs) -- 12.1.Basic Concepts of PDEs -- 12.2.Modeling: Vibrating String, Wave Equation -- 12.3.Solution by Separating Variables. Use of Fourier Series -- 12.4.D'Alembert's Solution of the Wave Equation. Characteristics"@en ;
    schema:description "Of Chapter 20 P.898"@en ;
    schema:description "Of Chapter 4 P.165"@en ;
    schema:description "Of Chapter 5 P.201"@en ;
    schema:description "Note continued: 2.10.Solution by Variation of Parameters -- ch. 2 Review Questions and Problems -- Summary of Chapter 2 -- ch. 3 Higher Order Linear ODEs -- 3.1.Homogeneous Linear ODEs -- 3.2.Homogeneous Linear ODEs with Constant Coefficients -- 3.3.Nonhomogeneous Linear ODEs -- ch. 3 Review Questions and Problems -- Summary of Chapter 3 -- ch. 4 Systems of ODEs. Phase Plane. Qualitative Methods -- 4.0.For Reference: Basics of Matrices and Vectors -- 4.1.Systems of ODEs as Models in Engineering Applications -- 4.2.Basic Theory of Systems of ODEs. Wronskian -- 4.3.Constant-Coefficient Systems. Phase Plane Method -- 4.4.Criteria for Critical Points. Stability -- 4.5.Qualitative Methods for Nonlinear Systems -- 4.6.Nonhomogeneous Linear Systems of ODEs -- ch. 4 Review Questions and Problems -- Summary of Chapter 4 -- ch. 5 Series Solutions of ODEs. Special Functions -- 5.1.Power Series Method -- 5.2.Legendre's Equation. Legendre Polynomials Pn(x)"@en ;
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    .

<http://viaf.org/viaf/4274746> # Edward J. Norminton
    a schema:Person ;
    schema:familyName "Norminton" ;
    schema:givenName "Edward J." ;
    schema:givenName "E. J." ;
    schema:name "Edward J. Norminton" ;
    .

<http://viaf.org/viaf/57079894> # Erwin Kreyszig
    a schema:Person ;
    schema:familyName "Kreyszig" ;
    schema:givenName "Erwin" ;
    schema:name "Erwin Kreyszig" ;
    .

<http://worldcat.org/isbn/9780470458365>
    a schema:ProductModel ;
    schema:isbn "0470458364" ;
    schema:isbn "9780470458365" ;
    .


Content-negotiable representations

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