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Higher Engineering Mathematics by Author B.S. Grewal, 44 Edition

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UNIT I: ALGEBRA, VECTORS AND GEOMETRY * Solution of Equations * Linear Algebra: Determinants, Matrices * Vector Algebra & Solid Geometry UNIT II: CALCULUS * Differential Calculus and Its Applications * Partial Differentiation and Its Applications * Integral Calculus and Its Applications * Multiple Integrals and Beta, Gamma functions * Vector Calculus and Its Applications UNIT III: SERIES * Infinite Series * Fourier series UNIT IV: DIFFERENTIAL EQUATIONS * Differential Equations of First Order * Applications of Differential Equations of First Order * Linear Differential Equations * Applications of Linear Differential Equations * Differential Equations of Other Types * Series Solution of Differential Equations and Special Functions * Partial Differential Equations * Applications of Partial Differential Equations UNIT V: COMPLEX ANALYSIS * Complex Numbers and Functions * Calculus of Complex Functions UNIT VI : TRANSFORMS * Laplace Transforms * Fourier Transforms * Z-Transforms UNIT VII : NUMERICAL TECHNIQUES * Empirical Laws and Curve-fitting * Statistical Methods * Probability and Distributions * Sampling & Inference * Numerical Solution of Equations * Finite Difference and Interpolation * Numerical Differentiation and Integration * Difference Equations * Numerical Solution of Ordinary Differential Equations * Numerical Solution of Partial Differential Equations UNIT VIII: SPECIAL TOPICS* Linear Programming * Calculus of Variations

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