• Advanced Engineering Mathematics (Bhavya Books)

Advanced Engineering Mathematics (Bhavya Books)

In Stock
AuthorDr. V.P. Mishra, Dr. Jyoti Sinha, Pratibha Mishra
PublisherBhavya Books
Edition2nd 2019
Publish Year2018
Total Pages1250
Availablity In Stock
Rs 795.00 Rs 716.00


• Successive Differentiation, Mean Value Theorems and Indeterminate Forms • Applications of Differentiation: Expansion of Functions and Approximations, Curve Tracing, Curvature, Evolute and Involute, Maxima Minima • Sequences and Series: Convergence and Divergence of Infinite Series, Conditional and Absolute Convergence • Definite Integrals, Reduction Formulae, Beta and Gamma Functions • Applications of IntegrationArea, Length, Volume, Surface Area • Fourier Series, Half-Range Series • Partial Differentiation, Euler's Theorem, Change of Variables, Expansion of Functions, Approximation, Jawbians, Maxima-Minima • Matrices, Determinants, Inverse and Rank of Matrix, Hermitian and Skew-Hermitian Matrices • Consistency of System of Equations, Eigen Values, Eigen Vectors, Diagonalizing a Matrix, Vector Spaces • Improper integrals Differentiation under Integral SignLebneitz Rule, Multiple Lebneitz, Double and Triple Integrals and Applications • Vector Calculus: Gradient, Divergence, Curl, Line Integral, Surface Integral, Green's Lemma, Stokes Theorem Gauss Divergence Theorem • Ordinary Differential Equations of Order One: Linear, Exact, Equations of First Order but not of First Degree • Linear Differential Equations of Higher Order, Method of Variation of Parameters and Applications Cauchy's Form • Series Solution, Bessel's Differential Equation and Legendre's Differential Equation • Complex Number System: Complex Functions, Differentiation and Analyticity, Conformal and Bilinear Mapping • Complex Integration: Taylor and Laurent's Series, Residue Theorem, Evaluation of Real Integrals • Laplace Transformation and Its Inverse, Convolution, Solving Differential Equations by L' Transform Unit Step Function, Impulse Function • Partial Differential Equations and Solution to First Order Equations • Partial Differential Equations of Higher Order and Applications • Fourier Transforms and their Applications • Difference Equations, Z-transform and Solution to Difference Equations by Z-transform • Numerical Solution to Equations in One Variable and Simultaneous Equations • Finite Differences, Divided Differences and Interpolation • Numerical Differentiation and Numerical Integration • Numerical Solution to Ordinary Differential Equations of Order One and Order Two and Numerical Solution to Partial Differential Equations • Basic Statistics and Applied Statistics • Theory of Probability • Discrete Probability Distributions Binomial and Poisson and Continuous Probability Distribution Normal • Sampling, Tests of Significance for Large Samples and for small samples • Sets, Relations, Functions, Partial and Total Order Relation, Lattice, Boolean Algebra and Algebraic Structures • Mathematical Logic, Counting Principles and Recurrence Relations • Graph Theory • Answers and Hints to the Problems in Exercises

  • Author : Dr. V.P. Mishra, Dr. Jyoti Sinha, Pratibha Mishra
  • Publisher : Bhavya Books
  • Edition : 2nd 2019
  • Publishing Year : 2018
  • Total Pages : 1250

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