Mathematics is a necessary avenue to scientific knowledge which opens new vistas of mental activity. A sound knowledge of Engineering Mathematics is a ‘sine qua non’ for the modern engineer to attain
new heights in all aspects of engineering practice. This book is a self-contained, comprehensive volume covering the entire gamut of the course of
Engineering Mathematics for 4 years’ B.Tech program of I.I.Ts, N.I.Ts, and all other universities in
India. The contents of this book are divided into 8 parts as follows: Part I: Preliminaries:
Chapter 1: Vector Algebra, Theory of Equations, and 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
Chapter 7: Multiple Integrals
Part III: Ordinary Differential Equations
Chapter 8: Ordinary Differential Equations: First Order and First Degree
Chapter 9: Linear Differential Equations of Second Order and Higher Order
Chapter 10: Series Solutions
Chapter 11: Special Functions—Gamma, Beta, Bessel and Legendre
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: Gradient, Divergence and Curl
Chapter 16: Vector Integral Calculus
Part V: Fourier Analysis and Partial Differential Equations
Chapter 17: Fourier Series
Chapter 18: Partial Differential Equations
Chapter 19: Application of Partial Differential Equations
Chapter 20: Fourier Integral, Fourier Transforms and Integral Transforms
Chapter 21: Linear Difference Equations and Z-Transforms
Part VI: Complex Analysis
Chapter 22: Complex Function Theory
Chapter 23: Complex Integration
Chapter 24: Theory of Residues
Chapter 25: Conformal Mapping.
Part VII: Probability and Statistics
Chapter 26: Probability
Chapter 27: Probability Distributions
Chapter 28: Sampling Distribution
Chapter 29: Estimation and Tests of Hypothesis
Chapter 30: Curve Fitting, Regression and Correlation Analysis
Chapter 31: Joint Probability Distribution and Markov Chains
Part VIII: Numerical Analysis
Chapter 32: Numerical Analysis
Chapter 33. Numerical Solutions of ODE and PDE
Web Supplement Besides the above, the following additional chapters are available at
http://www.mhhe.com/ramanahem.
1. Matrices and Determinants
2. Sequence and Series
3. Analytical Solid Geometry
4. Calculus of Variations
5. Linear Programming
The site also contains chapter-wise summary of all the chapters in the book. This book is written in a lucid, easy to understand language. Each topic has been thoroughly covered
in scope, content and also from the examination point of view. For each topic, several worked
out examples, carefully selected to cover all aspects of the topic, are presented. This is followed by
practice exercise with answers to all the problems and hints to the difficult ones. There are more than
1500 worked examples and 3500 exercise problems. This textbook is the outcome of my more than 30 years of teaching experience of engineering
mathematics at Indian Institute of Technology, Bombay (1970-74), National Institute of Technology,
Warangal (1975-81), J.N. Technological University, Hyderabad (since 1981), Federal University of
Technology, Nigeria (1983-85), Eritrea Institute of Technology, Eritrea (since 2005). I am hopeful that this ‘new’ exhaustive book will be useful to both students as well as teachers. If
you have any queries, please feel free to write to me at: ramanabv48@rediffmail.com. In spite of our best efforts, some errors might have crept in to the book. Report of any such error
and all suggestions for improving the future editions of the book are welcome and will be gratefully
acknowledged. B V RAMANA
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2006
McGraw Hill Education (India) Private Limited