Handbook of Mathematics Edition: 6

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. 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-XLIV Arithmetics ... 1-47 Functions ... 48-128 Geometry ... 129-268 Linear Algebra ... 269-322 Algebra and Discrete Mathematics ... 323-431 Differentiation ... 432-456 Infinite Series ... 457-479 Integral Calculus ... 480-539 Differential Equations ... 540-609 Calculus of Variations ... 610-620 Linear Integral Equations ... 621-653 Functional Analysis ... 654-700 Vector Analysis and Vector Fields ... 701-730 Function Theory ... 731-766 Integral Transformations ... 767-804 Probability Theory and Mathematical Statistics ... 805-856 Dynamical Systems and Chaos ... 857-908 Optimization ... 909-948 Numerical Analysis ... 949-1022 Computer Algebra Systems-Example Mathematica ... 1023-1052 Tables ... 1053-1139 Bibliography ... 1140-1151 Back Matter ... 1152-1211