Engineering Mathematics ,Eighth Edition by John Bird PDF free download

Topics: Algebra, partial fraction, logarithm, exponential function, inequality, arithmetic progression, geometric progression, binomial series, Maclaurin's series, iterative method, binary, octal, hexadecimal, boolean algebra, logic circuits, trigonometry, circle, Trigonometric waveforms, hyperbolic functions, Trigonometric identities, Trigonometric equation, compound angles, irregular area, irregular volume, graph, complex numbers, De Moivre’s theorem, matrix, determinant, vector geometry, vector, scalar product, vector product, differentiation, calculus, integration, differential equation, parametric equations, implicit functions, Logarithmic differentiation, hyperbolic functions, Partial differentiation, Total differential, rate of change, Maxima, minima, saddle point, integral calculus, hyperbolic substitution, trignometric substitution, Integration by parts, Reduction formulae, double integrals, triple integrals, Numerical integration, Homogeneous first-order differential equation, first-order differential equation, differential calculus, Linear first-order differential equation, Numerical methods, power series, Statistics, probability, Mean, median, mode, standard deviation, binomial distribution, Poisson distribution, normal distribution, Linear correlation, Linear regression, Sampling, estimation theories, Significance testing, Chi-square test, distribution-free test, Laplace transform, Inverse Laplace transform, Heaviside function, Fourier series, periodic functions, non-periodic function, even function, odd function, half-range fourier series, harmonic analysis, Z-Transform

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

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

Topics: statistics, summarizing data, listing, grouping, Numerical data, Stem-and-Leaf Displays, frequency distribution, graphical presentations, Summarizing Two-Variable Data, population, sample, mean, weighted mean, median, mode, grouped data, measures of variation, range, standard deviation, variance, posibility, probability, counting, permutation, combination, sample spaces, events, odds, conditional probability, multiplication rules, Bayes theorem, Mathematical Expectation, expectation, decision, decision making, Statistical Decision Problems, Random Variable, probability distributions, binomial distributions, hypergeometric distributions, Poisson distribution, Multinomial distribution, Mean of a Probability Distribution, Standard Deviation of a Probability Distribution, normal distribution, Continuous Distributions, sampling, random sampling, sample designs, systematic sampling, stratified sampling, cluster sampling, sampling distribuions, central limit theorem, estimation, Tests of Hypotheses, Significance Tests, One-Way Analysis of Variance, analysis of variance, Multiple Comparisons, Two-Way Analysis of Variance, Design of Experiments, Design of Experiments, regression, Curve Fitting, Regression Analysis, Multiple Regression, Nonlinear Regression, Coefficient of Correlation, correlation, Correlation Analysis, Multiple Correlation, Partial Correlation, Nonparametric tests, sign test, signed-rank test, U test, H test, Tests of Randomness, Rank Correlation

Topics: Quantitative Decision Making, Quantitative Techniques, data collection, statistical methods, Quantitative Methods.Arranging Data, published data, unplublished data, primary data, Data Presentation Devices, Frequency Distribution, graphs, histogram, frequency polygon, frequency curve, Cumulative Frequency Distribution, Skewness, Kurtosis, Measures of Central Tendency, Arithmetic Mean, median, quantile, mode, variation, range, mean deviation, average deviation, standard deviation, variance, Bienayme–Chebyshev Rule, Probability Theory, Probability, Probability Rules, Conditional Probability, Set Theory, Venn Diagram, Statistical Decision Theory, Decision Theory, determinants, Business Decision Theory, Stochastic Business Situation, Linear Programming, Linear Programming Problem, Sampling Theory, Sampling Methods, sampling, Simple Random Sampling, Stratified Random Sampling, Systematic Random Sampling, Quasi-Random Sampling, Interval Sampling, Cluster Sampling, Multi-Stage Random Sampling, area sampling, quota sampling, error, Hypothesis Testing, Probability Distributions, Binomial Distribution, Poisson Distribution, Normal Probability Distribution, t-Test, Chi-Square Test, Business Forecasting, Correlation Analysis.Correlation, Regression Analysis, Regression, Least-Squares Method, Standard Error of Estimate, Multiple Regressions, Time Series Analysis, Seasonal Variations, Cyclical Variations, business cycle, Irregular Variations, Random Movements, Unpredictable Movements, Erratic Variations, Accidental Variations, Research Methodology, Research Approach

Topics: Basic arithmetic, Fraction, decimal, percentage, ratio proportion, power, roots, indices, units, algebra, transposing formulae, simultaneous equations, quadratic equation, Logarithms, exponential function, straight line graph, logarithmic scales, angles, triangles, trignometry, trignometric wave forms, cartesion co-ordinate, polar co-ordinate, circle, volume, surface area, vector, probability, differentiation, integration, number sequence, binary, octal, inequality, Direct proportion, Inverse proportion, Standard form, Engineering notation, Metric conversion, Basic operations, Factorisation, Laws of precedence

Topics: Calculus, Trigonometric Functions, functions, limits, continuity, One-Sided Limits, Differentiation Rules, Derivatives, chain rule, implict differentiation, related rates, linearization, differentials, Mean Value Theorem, integrals, Monotonic Functions, First Derivative Test, Concavity, Curve Sketching, Applied Optimization, antiderivatives, Sigma Notation, limits of Finite Sums, Definite integral, Transcendental Functions, inverse functions, natural logarithms, exponential functions, exponential change, seperable differential equation, Indeterminate Form, L’Hôpital’s Rule, Inverse Trigonometric Functions, Hyperbolic Functions, Integration by Parts, integration, trigonometric integrals, trigonometric substitution, Integral Tables, Computer Algebra Systems, probability, numerical integration, improper integrals, probability, First-Order Differential Equations, Slope Fields, Euler’s Method, First-Order Linear Equations, Infinite Sequences, infinite Series, integral test, comparison test, absolute convergence, power series, alternating series, Taylor series, Maclaurin series, Parametric Equations, Polar Coordinates, Conic Sections, vector, Partial Derivatives, Lagrange Multipliers, Multiple Integrals, vector fields, Path Independence, Conservative Fields, Potential Functions, Green’s Theorem, Surface Integrals, Stokes Theorem, Divergence Theorem

Topics: Calculus, Trigonometric Functions, functions, limits, continuity, One-Sided Limits, Differentiation Rules, Derivatives, chain rule, implict differentiation, related rates, linearization, differentials, Mean Value Theorem, integrals, Monotonic Functions, First Derivative Test, Concavity, Curve Sketching, Applied Optimization, antiderivatives, Sigma Notation, limits of Finite Sums, Definite integral, Transcendental Functions, inverse functions, natural logarithms, exponential functions, exponential change, seperable differential equation, Indeterminate Form, L’Hôpital’s Rule, Inverse Trigonometric Functions, Hyperbolic Functions, Integration by Parts, integration, trigonometric integrals, trigonometric substitution, Integral Tables, Computer Algebra Systems, probability, numerical integration, improper integrals, probability, First-Order Differential Equations, Slope Fields, Euler’s Method, First-Order Linear Equations, Infinite Sequences, infinite Series, integral test, comparison test, absolute convergence, power series, alternating series, Taylor series, Maclaurin series, Parametric Equations, Polar Coordinates, Conic Sections, vector, Partial Derivatives, Lagrange Multipliers, Multiple Integrals, vector fields, Path Independence, Conservative Fields, Potential Functions, Green’s Theorem, Surface Integrals, Stokes Theorem, Divergence Theorem

Topics: Applied Statistics, Probability, collecting engineering data, sample spaces, event, counting techniques, conditional probability, Baye's theorem, Random variables, discrete random variables, probability distributions, probability mass functions, cumulative distribution functions, Discrete Uniform Distribution, binomial distribution, Hypergeometric Distribution, Poisson Distribution, probability density functions, continuous uniform distribution, Normal distribution, Erlang distributions, Weibull distribution, Lognormal distribution, joint probability distributions, covariance, correlation, probability plots, descriptive statistics, point estimation, statistical inference, multiple linear regression, multiple linear regression model, simple linear regression, analysis of variance

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

Topics: Engineering Mathematics, Algebra, power, logarithms, polynomials, linear equations, polynomial equations, binomials, binomial expansions, sigma notation, factorials, combinations, partial fractions, trigonometry, Trigonometric identities, Trigonometric functions, exponential functions, differentiation, Newton–Raphson iterative method, integration, complex numbers, hyperbolic functions, determinants, matrices, eigenvalues, eigenvectors, Cayley–Hamilton theorem, vector, vector representation, sequences, infinite series, curves, curve fitting, Asymptotes, Systematic curve sketching, Correlation, partial differentiation, reduction formulas, approximate integration, integration application polar coordinate systems, multiple integrals, first-order differential equations, homogenous equations, Laplace transform, probability, Conditional probability, Probability distributions, Continuous probability distributions

Topics: Calculus, linear coordinate systems, absolute value, inequalities, rectangular coordinate systems, lines, circles, parabolas, ellipses, hyperbolas, conic sections, functions, limits, continuity, continuous function, derivative, delta notation, chain rule, inverse functions, implicit differentiation, tangent lines, normal lines, critical numbers, relative maximum relative minimum, cure sketching, concavity, symmetry, points of inflection, vertical asymptotes, trigonometry, trigonometric functions, inverse trigonometric functions, rectilinear motion, circular motion, differentials, Newton's method, antiderivatives, definite integral, sigma notation, natural logarithm, exponential functions, logarithmic functions, L'hopital's rule, exponential growth, decay, half-life, integration by parts, trigonometric integrands, trigonometric substitutions, improper integrals, parametric equations, curvature, plane vectors, curvilinear motion, polar coordinates, infinite sequences, infinite series, geometric series, power series, uniform convergence, Taylor's series, Maclaurin series, partial derivatives, total differential, differentiability, chain rules, space vectors, directional derivatives, vector differentiation, vector integration, double integrals, iterated integrals, centroids, triple integrals, Separable Differential Equations, Homogeneous Functions, Integrating Factors, Second-Order Equations

Topics: Calculus, Analytic Geometry, real numbers, real line, coordinates, functions, shifting graphs, trignometric functions, rates of change, limits, continuity, tangent lines, derivative of a function, differentiation rules, rates of change, chain rule, derivatives, implicit differentiation, rational exponents, extreme values of functions, mean value theorem, first derivative test, optimization, linearization, differentials, Newton's method, integration, indefinite integrals, differential equations, initial value problems, mathematical modelling, Riemann sums, definite integrals, mean value theorem, fundamental theorem, numerical integration, cylindrical shells, application of integrals, work, fluid pressure, inverse functions, natural logarithms, transcendental functions, L'Hopital's rule, inverse trignometric functions, hyperbolic functions, first order differential equations, Euler's numerical method, Integration formulas, integration by parts, integral tables, infinite series, power series, Maclaurin series, Taylor series, conic sections

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

Topics: Linear Regression Analysis, Regression, Model Building, Data Collection, Simple Linear Regression Model, Simple Linear Regression, Least-Squares Estimation, Hypothesis Testing, Interval Estimation, Multiple Regression Models, Multiple linear regression, Hypothesis Testing, Confidence Intervals, Standardized Regression Coefficients, Multicollinearity, Residual Analysis, model adequacy checking, Variance-Stabilizing Transformations, Generalized Least Squares, Weighted Least Squares, Regression Models, subsampling, Leverage, Measures of Influence, influence, Polynomial regression Models, Piecewise Polynomial Fitting, Nonparametric Regression, Kernel Regression, Locally Weighted Regression, Orthogonal Polynomials, Indicator Variables, Multicollinearity, Multicollinearity Diagnostics, Model-Building, regression models, Linear Regression Models, Nonlinear Regression Models, Nonlinear Least Squares, Logistic Regression Models, Poisson regression, Time Series Data, Detecting Autocorrelation, Durbin-Watson Test, Time Series Regression, Robust Regression, Inverse Estimation

Topics: Linear Regression Analysis, Regression, Model Building, Data Collection, Simple Linear Regression Model, Simple Linear Regression, Least-Squares Estimation, Hypothesis Testing, Interval Estimation, Multiple Regression Models, Multiple linear regression, Hypothesis Testing, Confidence Intervals, Standardized Regression Coefficients, Multicollinearity, Residual Analysis, model adequacy checking, Variance-Stabilizing Transformations, Generalized Least Squares, Weighted Least Squares, Regression Models, subsampling, Leverage, Measures of Influence, influence, Polynomial regression Models, Piecewise Polynomial Fitting, Nonparametric Regression, Kernel Regression, Locally Weighted Regression, Orthogonal Polynomials, Indicator Variables, Multicollinearity, Multicollinearity Diagnostics, Model-Building, regression models, Linear Regression Models, Nonlinear Regression Models, Nonlinear Least Squares, Logistic Regression Models, Poisson regression, Time Series Data, Detecting Autocorrelation, Durbin-Watson Test, Time Series Regression, Robust Regression, Inverse Estimation

Topics: functions, combining functions, trigonometric functions, exponential functions, inverse functions, logarithms, limit, continuity, derivatives, differentiation rules, chain rule, implicit differentiation, inverse trigonometric functions, related rates, linearization, differentials, mean value theorem, monotonic functions, applied optimization, integrals, transcendental functions, hyperbolic functions, integration, trigonometric integrals, trigonometric substitution, numerical integration, improper integrals, infinite sequences, infinite series, integral test, comparison test, absolute convergence, power series, Taylor series, Maclurin series, parametric equations, polar coordinates, vectors, dot product, cross product, vector-valued functions, partial derivatives, saddle points, multiple integrals, vector fields, Euler equations

Topics: Statistical Inquiries, data collection, sample, sampling method, Probability Sampling, Non-probability Sampling, population, measurement, parameter, variables, Descriptive Statistics, Inferential Statistics, Quantitative Data, Qualitative Data, 3.1 Frequency Distribution, Graph, box plot, 5-number summary, sigma notation, arithemetic mean, skewness, mean, median, mode, Probability, Independent Events, Mutually Exclusive Events, Contingency Tables, Probability Trees, counting permutation, Discrete Random Variables, random variable notation, binomial distribution, geometric distribution, Poisson distribution, hypothesis testing, statistical testing, linear regression, linear correlation, correlation coefficient, linear equation, regression equation, index number, research method, confidential interval, chi-square distribution, forecasting, time series

Topics: Sampling, Sampling Units, Sampling errors, Nonsampling Errors, Simple Random Sampling, Confidence Intervals, Sample Size, Estimating Proportions, Estimating Ratios, Estimating Subpopulation Means, Unequal Probability Sampling, Horvitz-Thompson Estimator, Hansen–Hurwitz Estimator, Auxiliary Data, Ratio Estimation, Ratio Estimator, Small Population Illustrating Bias, Regression Estimation, Linear Regression Estimator, regression model, Multiple Regression Models, Regression Models, Stratified Sampling, Stratified Random Sampling, Cluster Sampling, Systematic Sampling, Multistage Designs, Double Sampling, Two-Phase Sampling, Network Sampling, Link-Tracing Designs, Detectability, Capture–Recapture Sampling, Line-Intercept Sampling, spatial sampling, Spatial Prediction, Kriging, Spatial Covariance Function, Spatial Designs, Adaptive Sampling Designs, Adaptive Sampling, Adaptive Cluster Sampling, Stratified Adaptive Cluster Sampling

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