Handbook of Mathematics

This guide book to mathematics contains in handbook form the fundamental working knowledge of mathematics which is needed as an everyday guide for working scientists and engineers, as well as for students. Easy to understand, and convenient to use, this guide book gives concisely the information necessary to evaluate most problems which occur in concrete applications.In the newer editions emphasis was laid on those fields of mathematics that became more important for the formulation and modeling of technical and natural processes, namely Numerical Mathematics, Probability Theory and Statistics, as well as Information Processing. Besides many enhancements and new paragraphs, new sections on Geometric and Coordinate Transformations, Quaternions and Applications, and Lie Groups and Lie Algebras were added for the sixth edition.Contents Front Matter ... I-XLIVArithmetics ... 1-47Functions ... 48-128Geometry ... 129-268Linear Algebra ... 269-322Algebra and Discrete Mathematics ... 323-431Differentiation ... 432-456Infinite Series ... 457-479Integral Calculus ... 480-539Differential Equations ... 540-609Calculus of Variations ... 610-620Linear Integral Equations ... 621-653Functional Analysis ... 654-700Vector Analysis and Vector Fields ... 701-730Function Theory ... 731-766Integral Transformations ... 767-804Probability Theory and Mathematical Statistics ... 805-856Dynamical Systems and Chaos ... 857-908Optimization ... 909-948Numerical Analysis ... 949-1022Computer Algebra Systems-Example Mathematica ... 1023-1052Tables ... 1053-1139Bibliography ... 1140-1151Back Matter ... 1152-1211