Engineering Mathematics : Volume 3
| About The Book Engineering Mathematics
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.
Table of Contents:
Unit IFUNCTIONS 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 IISTATISTICAL TECHNIQUES I
Chapter 5 Moments, Skewness and Kurtosis
Chapter 6 Curve Fitting
Chapter 7 Correlation and Regression Analysis
Chapter 8 Elementary Probability Theory
Unit IIISTATISTICAL TECHNIQUES II
Chapter 9 Theoretical Probability Distributions
Chapter 10 Sampling Theory
Chapter 11 Time Series and Forecasting
Chapter 12 Statistical Quality Control
Unit IVNUMERICAL TECHNIQUES I
Chapter 13 Solution of Algebraic and Transcendental Equations
Chapter 14 Calculus of Finite Differences
Chapter 15 Interpolation
Unit VNUMERICAL 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