Cauchy Books
Advanced Engineering Mathematics ,10th Edition
Author: Erwin Kreyszig, Herbert Kreyszig, Edward
School: University of Nigeria, Nsukka
Department: Engineering
Course Code: MTH207
Topics: Ordinary Differential Equations, Separable Ordinary Differential Equations, exact Ordinary Differential Equations, linear Ordinary Differential Equations, Orthogonal Trajectories, Homogeneous Linear Ordinary Differential Equations, Differential Operators, Euler–Cauchy Equations, Higher Order Linear Ordinary Differential Equations, nonlinear Ordinary Differential Equations, Power Series, egendre’s Equation, Legendre Polynomials, Extended Power Series, Frobenius Method, Bessel’s Equation, Bessel Functions, Laplace Transforms, First Shifting Theorem, Linear Algebra, Vector Calculus, Matrices, Vectors, Determinants, Linear Systems, Determinants, Cramer’s Rule, Gauss–Jordan Elimination, linear transformation, Matrix Eigenvalue Problems, Eigenvalues, Eigenvectors, Eigenbase, Vector Differential Calculus, vector product, Vector Integral Calculus, Integral Theorems, line integrals, Surface Integrals, Stokes’s Theorem, Fourier Analysis, Partial Differential Equations, Fourier series, Sturm–Liouville Problems, Forced Oscillations, Fourier Integral, Fourier Cosine, Sine Transforms, Fourier Transform, Fast Fourier Transforms, Rectangular Membrane, Double Fourier Series, heat equation, Complex Numbers, Complex Differentiation, Cauchy–Riemann Equations, Exponential Function, Complex Integration, Cauchy’s Integral Formula, Cauchy’s Integral Theorem, Taylor series, Laurent Series, Residue Integration, Conformal Mapping, Complex Analysis, Potential Theory, Numeric Analysis, Numeric Linear Algebra, Unconstrained Optimization, Linear Programming, Combinatorial Optimization, Probability, Statistics, Data Analysis, Probability Theory, Mathematical Statistics
Advanced Engineering Mathematics Student Solutions Manual and Study Guide,10th edition Volume 1&2
Author: Herbert Kreyszig, Erwin Kreyszig
School: University of Nigeria, Nsukka
Department: Engineering
Course Code: MTH207
Topics: Ordinary Differential Equations, Separable Ordinary Differential Equations, exact Ordinary Differential Equations, linear Ordinary Differential Equations, Orthogonal Trajectories, Homogeneous Linear Ordinary Differential Equations, Differential Operators, Euler–Cauchy Equations, Higher Order Linear Ordinary Differential Equations, nonlinear Ordinary Differential Equations, Power Series, egendre’s Equation, Legendre Polynomials, Extended Power Series, Frobenius Method, Bessel’s Equation, Bessel Functions, Laplace Transforms, First Shifting Theorem, Linear Algebra, Vector Calculus, Matrices, Vectors, Determinants, Linear Systems, Determinants, Cramer’s Rule, Gauss–Jordan Elimination, linear transformation, Matrix Eigenvalue Problems, Eigenvalues, Eigenvectors, Eigenbase, Vector Differential Calculus, vector product, Vector Integral Calculus, Integral Theorems, line integrals, Surface Integrals, Stokes’s Theorem, Fourier Analysis, Partial Differential Equations, Fourier series, Sturm–Liouville Problems, Forced Oscillations, Fourier Integral, Fourier Cosine, Sine Transforms, Fourier Transform, Fast Fourier Transforms, Rectangular Membrane, Double Fourier Series, heat equation, Complex Numbers, Complex Differentiation, Cauchy–Riemann Equations, Exponential Function, Complex Integration, Cauchy’s Integral Formula, Cauchy’s Integral Theorem, Taylor series, Laurent Series, Residue Integration, Conformal Mapping, Complex Analysis, Potential Theory, Numeric Analysis, Numeric Linear Algebra, Unconstrained Optimization, Linear Programming, Combinatorial Optimization, Probability, Statistics, Data Analysis, Probability Theory, Mathematical Statistics
Schaum's outline of advanced mathematics for engineers and scientists
Author: Murray Spiegel
School: Federal University of Agriculture, Abeokuta
Department: Engineering
Course Code: MCE341
Topics: real numbers, rule of algebra, limits, continuity, derivatives, differentiation formula, Taylor series, Partial derivatives, maxima, minima, Lagrange multiplier, complex numbers, ordinary differential equations, linear differential equations, operator notation, linear operators, linear dependence, Wronskians, Laplace transforms, vector analysis, vector algebra, Jacobians, Orthogonal curvilinear coordinates, Fourier series, Dirichlet conditions, orthogonal functions, Fourier integrals, Fourier transforms, Gamma function, beta function, error function, exponential integral, sine integral, cosine integral, Fresnel sine Integral, Fresnel cosine Integral, Bessel function, Legendre functions, Legendre differential equation, Hermite polynomials, Laguerre polynomial, sturm-Liouville systems, heat conduction equation, vibrating string equation, complex variables, conformal mapping, Cauchy-Riemann equations, Cauchy's theorem, Laurent's series, conformal mapping, complex inversion formula, matrices, Cramer's rule, determinants, Euler's equation, Hamilton's principle
Foundations of Mathematical Analysis
Author: CE Chidume, Chukwudi Chidume
School: Federal University of Technology, Owerri
Department: Science and Technology
Course Code: MTH301
Topics: real number system, order relation, natural numbers, countable sets, uncountable sets, bounded sets, limits, Monotone Sequences, Sandwich Theorem, limit theorems, Bolzano-Weierstrass Theorem, Limit Superior, Limit Inferior, Cauchy Sequences, continuity, topological notions, One-sided Continuity, Continuity Theorems, Uniform Continuity, Uniform Continuity Theorems, closed sets, compact sets, continuous maps, differentiability, derivative, Rolle’s Theorem, Mean Value Theorem, L’Hospital’s Rule, Nonnegative Real Numbers series, Integral Test, Comparison Test, Limit Comparison Test, Cauchy’s Root Test, D’Alembert’s Ratio Test, Alternating Series, Absolute Convergence, Conditional Convergence, Riemann Integral, Integration, Uniform convergence, Power Series, Equicontinuity, Arzela-Ascoli Theorem
Fluid mechanics and hydraulics
Author: Mahesh kumar
School: Chukwuemeka Odumegwu Ojukwu University
Department: Engineering
Course Code: ENG232
Topics: fluid pressure, hydrostatic forces, submerged surfaces, buoyancy, floatation, fluid kinematics, fluid dynamics, vortex flow, potential flow, ideal fluid flow, laminar flow, viscous flow, boundary layer theory, compressible flow, model similitude, free jets, fluid machines, pelton turbine, impulse turbine, francis turbine, radial flow reaction turbines, propeller, kaplan turbine, axial flow reaction turbines, hydraulic turbines, centrifugal pumps, reciprocation pumps, hydraulic systems, fluid continuum, fluid properties, specific weight, weight density, viscosity, perfect gas law, isobaric process, adiabatic process, surface tension, capillarity, capillary effect, vapour pressure, cavitation, pascal's law, hydrostatic law, Bouyant force, centre of buoyancy, archimedes principle, metacentre, metacentric height, cauchy-reimann equations, Euler's equation, Bernoulli's equation, continuity equation, orfices, hydraulic coefficients, uniform flow, source flow, sink flow, free vortex flow, notches, weirs, francis formula, bazin formula, rehbock formula, cipolletti weir, reynolds experiment, Navier-stoke equation, efflux viscometer, ogee weir, boundary layers, stagnation pressure, stagnation density, stagnation temperature, specific energy curve, critical depth, critical velocity, sub-critical flow, hydraulic jump, francis turbine, velocity triangle, draft tube, rotodynamic turbine
Schaums Outline of Linear Algebra, 6th Edition
Author: Seymour Lipschutz, Marc Lipson
School: Edo University
Department: Science and Technology
Course Code: MTH214
Topics: Linear Algebra, Matrix algebra, matrix multiplication, Equivalent Systems, Elementary Operations, Gaussian Elimination, Echelon Matrices, Row Canonical Form, Row Equivalence, Matrix Formulation, Elementary Matrices, LU Decomposition, vector spaces, Linear Combinations, spanning sets, Full Rank Factorization, Least Square Solution, linear mappings, Cauchy–Schwarz Inequality, Gram–Schmidt Orthogonalization, determinants, diagonalization, Eigenvalues, Eigenvectors, Cayley–Hamilton Theorem, canonical forms, linear functionals, dual space, bilinear form, quadratic forms, Hermitian Form, linear operators
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
Author: O'kriso
School: Federal University of Technology, Owerri
Department: Science and Technology
Course Code: MTH201
Topics: Mathematical methods, domain, range, limits, continuity, partial derivatives, chain rule, gradient, jacobian, implicit differentiation, normal derivative, total differentiation, exact equations, laplace equation, harmonic functions, arbitrary functions, extreme value problems, infinite sequence, infinite series, convergence, divergence, Cauchy ratio test
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
Introduction to Real Analysis, 4th Edition
Author: Robert Bartle, Donald Sherbert
School: Nnamdi Azikiwe University
Department: Science and Technology
Course Code: MAT251
Topics: real analysis, sets, functions, mathematical induction, finite sets, infinite sets, real numbers, absolute value, real line, intervals, sequences, series, limit theorems, monotone sequences, Cauchy criterion, limits, limit theorems, continuous functions, uniform continuity, inverse function, monotone functions, derivative, mean value theorem, L' Hospital rule, Taylor's theorem, Riemann integral, Riemann integral functions, fundamental theorem, Darboux integral, approximate integrations, pointwise convergence, uniform convergence, exponential functions, logarithmic function, trigonometric functions, infinite series, absolute convergence, infinite integrals, convergence theorems, continuous functions, metric spaces
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