Numerical Methods & Statistical Computing

About the Book

In today's data driven and algorithm powered world, the need to understand numerical computation and statistical analysis has never been more crucial. Numerical Methods and Statistical Computing A Practical Approach for BCA, MCA, and BTech Students is a comprehensive and student friendly textbook designed to meet the academic and applied requirements of undergraduate and postgraduate computer science and engineering programs.

This book covers both classical numerical techniques and modern statistical methods in a unified manner, providing a balanced mix of theoretical background, real world applications, and hands on practice. Whether you are a BCA student trying to master numerical roots, an MCA scholar exploring curve fitting, or a BTech student solving differential equations or analyzing statistical data, this book serves as a complete guide.

Organized into 13 well structured chapters, the content aligns with university curricula and offers a progressive learning path from foundational concepts in statistics and probability to advanced numerical methods used in computation, analysis, engineering simulations, and scientific research.

What This Book Covers

Foundations of Statistics
Learn how to represent and summarize data using measures of central tendency, dispersion, and graphical techniques such as histograms and scatter plots.

Correlation and Regression Analysis
Understand relationships between variables using Pearson and Spearman correlation, and apply regression analysis for prediction and modeling.

Probability and Random Variables
Gain insight into random phenomena using discrete and continuous probability distributions, and calculate expected values and variances.

Error Analysis
Discover how errors affect digital computations, and explore the concepts of round off error, truncation error, convergence, and algorithm efficiency.

Numerical Methods
Master root finding algorithms such as Newton Raphson and Bisection methods, matrix solving techniques such as Gauss elimination, and iterative solvers such as Gauss Seidel.

Interpolation and Curve Fitting
Learn various interpolation techniques and apply least squares methods for fitting data in real world modeling.

Numerical Differentiation and Integration
Perform calculus operations on discrete data using methods such as Richardson extrapolation, Simpson's rule, and Gaussian quadrature.

Differential Equations
Solve ordinary differential equations using Euler, Runge Kutta, and finite difference methods with practical applications.

Sampling Techniques
Understand and apply statistical sampling methods commonly used in surveys and experimental studies.

Why Study This Book

Comprehensive Coverage
This book bridges the gap between statistics and numerical computation, offering a unified solution aligned with modern university syllabi.

Hands on Practical Learning
Through worked examples, step by step problem solving, and software based exercises, especially using MS Excel, students develop strong computational and analytical skills.

Industry Relevant Applications
The techniques covered are not only examination oriented but also highly applicable in fields such as software development, data science, machine learning, scientific research, and operations management.

Aligned with University Curriculum
Whether you are enrolled in a technical university, central or state university, or an autonomous institution, the structure and topics closely follow standard BCA, MCA, and BTech curricula in India and internationally.