Engineering Mathematics, Vol. III

Contents Preface Unit I Functions Of Complex Variables 1 Functions of Complex Variable and Analytic Functions 2 Complex Integration 3 Expansion of Function in Power Series 4 Zeros and Singularities Unit II Statistical Techniques I 5 Moments Skewness And Kurtosis 6 Curve Fitting 7 Correlation and Regression Analysis 8 Elementary Probability Theory Unit III Statistical Techniques Ii 9 Theoretical Probability Distributions 10 Sampling Theory 11 Time Series and Forecasting 12 Statistical Quality Control Unit IV Numerical Techniques I 13 Solution of Algebraic and Transcendental Equations 14 Calculus of Finite Differences 15 InterpolationUnit V Numerical Techniques II 16 Simultaneous Linear Algebraic Equations 17 Numerical Differentiation and Integration 18 Numerical Solution of Ordinary Differential Equations Objective Type Questions Appendices IndexThis 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 448 pp.…