This Volume III of Engineering Mathematics is designed to serve as a basic text for undergraduate students of all branches of engineering for a course in engineering mathematics.
Divided into five Units, this book covers analytic functions, complex integration, expansion of function in power series and zeros and singularities in Unit I. Various statistical techniques such as moments, skewness and kurtosis along with sampling theory and statistical quality control (SQC) are covered in an easy-to-comprehend manner in Units II and III. As the book advances, it deals with numerous numerical techniques such as interpolation, numerical differentiation and integration as well as ordinary differential equations which are well-presented in Units IV and V.
All the topics are discussed systematically and the emphasis has been laid on making the concept clearer.
KEY FEATURES :
Gives a large number of illustrative examples to clarify the concepts.
Includes practice exercises at the end of sections.
Provides numerous general illustrations and their solutions to help students learn the skill of problem solving.
Offers extensive opportunities for students to practice through numerous objective-type questions.
Almost all the UPTU problems are solved.
Contents: Preface Unit I FUNCTIONS OF COMPLEX VARIABLES Chapter 1 Functions of Complex Variable and Analytic Functions Chapter 2 Complex Integration Chapter 3 Expansion of Function in Power Series Chapter 4 Zeros and Singularities Unit II STATISTICAL TECHNIQUES I Chapter 5 Moments, Skewness and Kurtosis Chapter 6 Curve Fitting Chapter 7 Correlation and Regression Analysis Chapter 8 Elementary Probability Theory Unit III STATISTICAL TECHNIQUES II Chapter 9 Theoretical Probability Distributions Chapter 10 Sampling Theory Chapter 11 Time Series and Forecasting Chapter 12 Statistical Quality Control Unit IV NUMERICAL TECHNIQUES I Chapter 13 Solution of Algebraic and Transcendental Equations Chapter 14 Calculus of Finite Differences Chapter 15 Interpolation Unit V NUMERICAL TECHNIQUES II Chapter 16 Simultaneous Linear Algebraic Equations Chapter 17 Numerical Differentiation and Integration Chapter 18 Numerical Solution of Ordinary Differential Equations Objective Type Questions • Appendices • Index