Eigen Books
An introduction to econometric theory
Author: James Davidson
School: National Open University of Nigeria
Department: Administration, Social and Management science
Course Code: ECO454
Topics: Data Analysis, econometric theory, Matrix Representation, Matrix Equation, Least Squares Solution, Probability Distributions, modelling, fitting, Classical Regression Model, Gauss-Markov Theorem, testing, Eigenvalues, Eigenvectors, Gaussian Regression Model, Partitioning, Specification, Random Regressors, Asymptotics, Asymptotic Estimation Theory
Ordinary Differential Equations
Author: Gabriel Nagy
School: University of Ilorin
Department: Science and Technology
Course Code: MAT211
Topics: Ordinary Differential Equations, linear constant coefficient equations, initial value problem, integrating factor method, linear variable coefficient equation, Bernoulli equation, separable equation, Euler Homogenous equations, exact differential equation, exponential decay, Newton's cooling law, carbon-14 dating, nonlinear equations, second order linear equations, variable coefficients, Homogenous Constant Coefficients Equations, Euler Equidimensional Equation, Nonhomogeneous Equations, power series, Laplace transform, discontinous sources, Two-Dimensional Homogeneous Systems, Two-Dimensional Phase Portraits, Autonomous Systems, Stability, Boundary Value Problems, linear algebra, matrix algebra, Eigenvalues, Eigenvectors, Diagonalizable Matrices, Matrix Exponential, exponential function
Elementary numerical analysis, 3rd edition
Author: Samuel Daniel Conte, Carl de Boor
School: Edo University
Department: Science and Technology
Course Code: CMP315
Topics: numerical analysis, number system, interpolation, Fixed-Point Iteration, Polynomial Equations, Real Roots, Complex Roots, Müller’s Method, Triangular Factorization, Determinants, Eigenvalue Problem, Backward-Error Analysis, determinants, Unconstrained Optimization, approximation, data fitting, Orthogonal Polynomials, Fast Fourier Transforms, Piecewise-Polynomial Approximation, differentiation, integration, numerical differentiation, numerical integration, Romberg Integration, Simple Difference Equations, Boundary Value Problems
Advanced engineering mathematics
Author: Ken Stroud, Dexter Booth
School: Federal University of Technology, Owerri
Department: Engineering
Course Code: ENG307, ENG308
Topics: Advanced engineering mathematics, numerical solution, Newton-Raphson iterative method, numerical methods, linear interpolation, graphical interpolation, Lagrange interpolation, Laplace transform, convolution theorem, periodic functions, Z transform, difference equations, Invariant linear systems, Differential equations, Fourier series, harmonics, Dirichlet conditions, Gibbs’ phenomenon, Complex Fourier series, complex spectra, Fourier’s integral theorem, Leibnitz-Maclaurin method, power series, Cauchy-Euler equi-dimensional equations, Leibnitz theorem, Bessel’s equation, Gamma functions, Bessel functions, Legendre’s equation, Legendre polynomials, Rodrigue’s formula, Sturm-Liouville systems, Orthogonality, Taylor’s series, First-order differential equations, Euler's method, Runge-Kutta method, Matrix algebra, Matrix transformation, Eigenvalues, direction fields, phase plane analysis, nonlinear systems, dynamical systems, Bifurcation, partial differentiation, Elliptic equations, Hyperbolic equations, Parabolic equations, multiple integration, Green’s theorem, integral functions, error function, elliptic functions, vector analysis, Curvilinear coordinates, complex analysis, complex mapping, Maclaurin series, optimization, linear programming, Linear inequalities
Advanced Engineering Mathematics
Author: Alan Jeffrey
School: Federal University of Technology, Owerri
Department: Engineering
Course Code: ENG307, ENG308
Topics: Real Numbers, Mathematical Induction, Mathematical Conventions, Complex Numbers, Taylor Theorem, Maclaurin Theorem, Vectors, Vector Spaces, Matrices, linear equation, Echelon, Eigen, Differential equations, fourier series, Laplace transform, vector calculus, complex analysis, bernoulli, riccati, cauchy-euler, Gamma function, frobenieus method, bessel function, Fourier integrals, Fourier transform, Vector Differential Calculus, Vector Integral Calculus, analytic functions, complex intergration, laurent series
Author: SRK Iyengar, RK Jain
School: Nnamdi Azikiwe University
Department: Engineering
Course Code: IPE803
Topics: Numerical Methods, Eigen value problems, Newton-Raphson Method, General Iteration Method, Convergence of Iteration Methods, Gauss Elimination Method, Gauss-Jordan Method, interpolation, approximation, Lagrange Interpolation, Newton’s Divided Difference Interpolation, Spline Interpolation, Cubic Splines, numerical differentiation, integration, Trapezium Rule, initial value problem, Romberg Method, Taylor Series Method, Adams-Moulton Methods, Predictor-Corrector Methods, boundary value problems
Elements of abstract and linear Algebra
Author: EH Connell
School: University of Ibadan
Department: Science and Technology
Course Code: MAT211
Topics: abstract Algebra, linear Algebra, Sets, Cartesian products, Hausdorff maximality principle, groups, Homomorphisms, permutations, rings, domains, fields, Polynomial rings, Chinese remainder theorem, Boolean rings, matrices, matrix rings, Systems of equations, Determinants, Summands, transpose principle, Nilpotent homomorphisms, Jordan canonical form, Eigenvalues, Euclidean domains, jordan blocks, Jordan canonical form
Schaum’s Outline of Differential Equations ,4th edition
Author: Richard Bronson, Gabriel Costa
School: University of Ibadan
Department: Science and Technology
Course Code: MAT241
Topics: Differential Equations, Modeling, Qualitative Methods, First-Order Differential Equations, Separable First-Order Differential Equations, Exact First-Order Differential Equations, Linear First-Order Differential Equations, Linear Differential Equations, Second-Order Linear Homogeneous Differential, nth-Order Linear Homogeneous Differential Equations, Method of Undetermined Coefficients, Variation of Parameters, Initial-Value Problems, Laplace Transform, matricies, Inverse Laplace Transforms, Convolutions, Unit Step Function, power series, Series Solutions, Classical Differential Equations, Gamma Functions, Bessel Functions, Partial Differentiall Equations, Second-Order Boundary-Value Problems, Eigenfunction Expansions, Difference Equations
Students Solutions Manual for Applied Linear Algebra, 2nd edition
Author: Peter Olver, Chehrzad Shakiban
School: University of Ilorin
Department: Science and Technology
Course Code: MAT206, MAT213, PHY464, ELE576
Topics: Linear Algebraic Systems, Vector Space, Vector Base, inner products, inner norms, orthogonality, equilibrium, linearity, eigenvalues, singular values, iteration, dynamics
Applied Linear Algebra, 2nd edition
Author: Peter Olver, Chehrzad Shakiban
School: University of Ilorin
Department: Science and Technology
Course Code: MAT206, MAT213, PHY464, ELE576
Topics: Linear Algebraic Systems, Vector Space, Vector Base, inner products, inner norms, orthogonality, equilibrium, linearity, eigenvalues, singular values, iteration, dynamics
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