Higher Engineering Mathematics (USED)

ISBN1:  MBHR4190
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About Book

This Comprehensive text on Higher Engineering Mathematics covers the syllabus of all the mathematics papers offered to the undergraduate students. Plethora of Solved examples help the students know the variety of problems & Procedure to solve them. Plenty of practice problems facilitate testing their understanding of the subject.

Content

PART I PRELIMI NARIES 
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 

APPENDECES:
A1: Basic results
A2: Statistical Tables
A3: Bibliography
A4: Index

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