BETA Mathematics Handbook is a comprehensive, accessible reference compilation of all basic facts and information for pure and applied mathematics, probability and statistics, and numerical analysis and basic applications. It offers a unique blend of classical areas of mathematics such as algebra, geometry, and analysis with new, modern topics. As a result, the book is up to date with all the latest math information used frequently in science and engineering. Modern topics covered include:Discrete math, including graph theoryAnalytic geometry in spaceTransforms, including FFT and dynamical systems (filters)Optimization, including dynamic optimizationModern probability, including stochastic processes, simulation, and queuing systemsLebesgue integralsEach topic is given its own section for a more logical presentation and easier reference. For example, one variable and multivariable calculus appear in separate chapters. Separate chapters are devoted to vector analysis, probability, and statistics as well.The book also makes extensive use of summary charts, grids, and tables to succinctly convey information. These include:Methods of proofSurvey of algebraic structuresSummary of integral calculus functionsSummary of methods of deriving Taylor seriesSummary table of power series expansionsDifferential geomet