Advanced engineering mathematics Norminton, E. J.; Kreyszig, Herbert.

Part I Ordinary Differential Equations (ODE'S)
· First-Order ODE's
· Second Order Linear ODE's
· Higher Order Linear ODE's
· Systems of ODE's Phase Plane, Qualitative Methods
· Series Solutions of ODE's Special Functions
· Laplace Transforms

Part II Linear Algebra, Vector Calculus
· Linear Algebra: Matrices, Vectors, Determinants: Linear Systems
· Linear Algebra: Matrix Eigenvalue Problems
· Vector Differential Calculus: Grad, Div, Curl
· Vector Integral Calculus: Integral Theorems

Part III Fourier Analysis, Partial Differential Equations
· Fourier Series, Integrals and Transforms
· Partial Differential Equations (PDE's)
· Complex Numbers and Functions
· Complex Integration
· Power Series, Taylor Series
· Laurent Series: Residue Integration
· Conformal Mapping
· Complex Analysis and Potential Theory

Part IV Numerical Analysis Software
· Numerics in General
· Numerical Linear Algebra
· Numerics for ODE's and PDE's

Part V Optimization, Graphs
· Unconstrained Optimization: Linear Programming
· Graphs, Combinatorial Optimization

Part VI Probability, Statistics
· Data Analysis: Probability Theory
· Mathematical Statistics

Aimed at the junior level courses in maths and engineering departments, this edition of the well known text covers many areas such as differential equations, linear algebra, complex analysis, numerical methods, probability,
The book is a comprehensive text for engineering mathematics. Into its eighth edition, this is a popular study material for students whose chosen subject of study requires an understanding of advanced engineering mathematical concepts.
The subject matter is arranged chapter wise, and these are grouped into seven parts. This self contained text provides a thorough coverage of engineering mathematics, with detailed examples and illustrations.