Higher Engineering Mathematics

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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 Key Features Covers the syllabus of all the four papers of Engineering Mathematics Detailed coverage of topics with lot of solved examples rendering clear understanding to the students. Engineering Applications of Integral Calculus, Ordinary Differential Equations of First and Higher Order, & Partial Differential Equations illustrate the use of these methods. Chapters on preliminary topics like Analytical Solid Geometry Matrices and Determinants Sequence and Series Complex Numbers Vector Algebra Differential and Integral Calculus Extensive coverage of Probability and Statistics (5 chapters). Covers the syllabus of all the four papers of Engineering Mathematics Engineering Applications of Integral Calculus, Ordinary Differential Equations of First and Higher Order, & Partial Differential Equations illustrate the use of these methods. Extensive coverage of ?Probability and Statistics (5 chapters) Table Of Contents 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 Chapter22 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