This book presents a comprehensive and application-oriented introduction to engineering mathematics and analytics. It covers essential topics including linear algebra, calculus, differential equations, Laplace and Fourier methods, partial differential equations, probability, statistics, numerical methods, operations research and predictive analytics. Concepts are explained through engineering examples, solved problems, case studies and practical computational applications using MATLAB, Python and spreadsheets. The book also highlights optimisation, forecasting, reliability, quality analysis and predictive maintenance. Designed for engineering students and professionals, it strengthens mathematical understanding, analytical thinking and problem-solving skills required for modern engineering and industrial applications.