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This is a popular study and reference material on the subject of engineering mathematics. Summary Of The Book 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. The content is divided into parts, which are Ordinary Differential Equations (ODE), Linear Algebra, Vector Calculus, Fourier Analysis and Partial Differential Equations, Complex Analysis, Numerical Methods, Optimization Graphs, and Probability and Statistics. The first part covers first order ODEs and second order linear ODEs, systems of differential equations, phase plane and quantitative methods, series solutions of ODEs and special functions, and Laplace transforms. The second part covers vectors, matrices, determinants, linear systems of equations, matrix Eigenvalue problems, vector differential calculus, and vector integral calculus. The third part covers Fourier series, integrals and transforms, and partial differential equations. The fourth part concentrates on complex analysis topics such as complex numbers and functions, conformal mapping, complex integration, power series, Taylor series, Laurent series, residue integration,and complex analysis applied to potential theory. The fifth part explains numerical methods. The topics here are numerical methods in general, numerical methods in linear algebra, and numerical methods for differential equations. Part six covers optimization graphs such as unconstrained optimization, linear programming, and graphs and combinatorial optimization. Part seven covers probability and statistics, which includes data analysis, probability theory, and mathematical statistics. The appendix section contains references, answers to odd numbered problems, auxiliary material, formulas for special functions, additional proofs, and tables. Each chapter ends with a chapter review and chapter summary. The chapter review consists of questions and exercises on the topics covered in the chapter. About the Author Erwin Kreyszig was a professor of mathematics at Carleton University in Ottawa, Canada. Other books by him include Introduction to Differential Geometry and Riemannian Geometry, Introductory Functional Analysis with Applications, and Differential Geometry. His books are text material on mathematical topics. Erwin Kreyszig was born in Pima, Germany in 1922. Kreyszig received his doctorate from the University of Darmstadt. Before joining Carleton University, he has held positions at the Ohio State University, The University of Ottawa, and Stanford University. Kreyszig also established a computer center at the University of Graz. He was a pioneer in the field of applied mathematics He has authored a total of fourteen books.