Foundations of Numerical Methods and Data Analysis

This book offers a comprehensive journey into the world of numerical methods beginning with the essential mathematical preliminaries: calculus vectors matrices and programming concepts before moving into deeper areas such as error analysis curve fitting interpolation and the numerical solution of ordinary and partial differential equations. Advanced chapters extend into systems of equations finite element methods and spectral techniques ensuring that readers not only understand the fundamentals but also gain exposure to methods at the frontier of computational practice. A distinguishing feature of the book is the integration of theory with practice. Each concept is accompanied by carefully chosen examples figures and end- of-chapter exercises designed to strengthen understanding and encourage hands-on application. Historical notes and bibliographical references enrich the discussion situating modern numerical methods in their broader intellectual context. In addition the book pays special attention to the use of contemporary computational tools such as MATLAB Python and other numerical libraries thereby bridging traditional methods with current software-driven practice. In short it is both a textbook and a reference meant to serve readers across different stages of their academic or professional journey. For more details please visit https: //centralwestpublishing