About the Book: This book `Advanced Mathematics` is primarily designed for B.Tech., IV Semester (EE and EC branch) students of Rajasthan Technical University. The subject matter is discussed in a lucid manner. The discussion is covered in five units: Unit I: deals with Numerical Analysis, Unit-II: gives different aspects of Numerical Analysis, Unit-III: Special Function, Unit-IV:Statistics and Probability, Calculus of Variation and Transforms are discussed in Unit V. All the theoretical concepts are explained through solved examples. Besides, a large number of unsolved problems on each topic are given for practice. The present matter can be useful for engineering students of all Indian universities. Contents: Unit I : Numerical Analysis-I Calculus of Finite Differences Interpolation Solution of Linear Simultaneous Equations Solution of Algebraic and Transcendental Equations Curve Fitting Unit II : Numerical Analysis-II Numerical Differentiation Numerical Integration Ordinary Differential Equations of First Order Difference Equations Unit III : Special function Bessel`s Functions Legendre`s Functions Unit IV : Statistics and Probability Theory of Probability Theoretical Distributions Correlation and Regression Unit V: Calculus of Variations and Transforms Calculus of Variations Z-Transform.