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HIGHER ENGINEERING MATHEMATICS by B V Ramana

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PART I PRELIMI NARIESĀ 

Chapter 1 Vector Algebra , Theory of Equations ,Complex Numbers

PART II DIFFERENTIAL AND INTEGRAL CALCULUS
Chapter 2 Differential Calculus
Chapter 3 Partial Differentiation
Chapter 4 Maxima and Minima
Chapter 5 Curve Tracing
Chapter 6 Integral Calculus: Applications
Chapter 7 Multiple Integrals

PART III ORDINARY DIFFERENTIAL EQUATIONS

Chapter 8 Ordinary Differential Equations : First Order with Applications
Chapter 9 Ordinary Differential Equations: Second and higher orders with Applications
Chapter 10 Series Solutions
Chapter 11 Special Functions
Chapter 12 Laplace Transform

PART IV LINEAR ALGEBRA AND VECTOR CALCULUS

Chapter 13 Matrices
Chapter 14 Eigen values and Eigen vectors
Chapter 15 Vector Differential Calculus
Chapter 16 Vector Integral Calculus

PART V FOURIER ANALYSIS AND PARTIAL DIFFERENTIAL EQUATIONS

Chapter 17 Fourier Series
Chapter 18 Partial Differential Equations
Chapter 19 Applications of PDE
Chapter 20 Fourier Integral and Fourier Transform
Chapter 21 Finite Differences and Z-Transforms

PART VI COMPLEX ANALYSIS

Chapter 22 Complex functions
Chapter 23 Complex Integration
Chapter 24 Theory of residues
Chapter 25 Conformal Mapping

PART VII PROBABILITY AND STATISTICS

Chapter 26 Probability theory
Chapter 27 Probability Distributions
Chapter 28 Sampling Distributions (SD)
Chapter 29 Inferences concerning means and proportions
Chapter 30 Line & Curve Fitting, Correlation and Regression
Chapter 31 Joint probability distribution and Markov Chains

PART VIII NUMERICAL ANALYSIS

Chapter 32 Numerical Analysis (general)
Chapter 33 Numerical Solutions of Ordinary & Partial Differential Equations

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