Handbook of Math Formulas

the best of the best reference of mathematic you must have
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Standard Mathematical Tables and Formulae

Chapter 1: Analysis begins with numbers and then combines them into series and products. Series lead naturally into Fourier series. Numbers also lead to functions which results in coverage of real analysis, complex analysis, and generalized functions.
Chapter 2: Algebra covers the different types of algebra studied: elementary algebra, vector algebra, linear algebra, and abstract algebra. Also included are details on polynomials and a separate section on number theory. This chapter includes many new tables.
Chapter 3: Discrete Mathematics covers traditional discrete topics such as combinatorics, graph theory, coding theory and information theory, operations re-search, and game theory. Also included in this chapter are logic, set theory, and chaos.
Chapter 4: Geometry covers all aspects of geometry: points, lines, planes, surfaces, polyhedra, coordinate systems, and differential geometry.
Chapter 5: Continuous Mathematics covers calculus material: differentiation, integration, differential and integral equations, and tensor analysis. A large table of integrals is included. This chapter also includes differential forms and orthogonal coordinate systems.
Chapter 6: Special Functions contains a sequence of functions starting with the trigonometric, exponential, and hyperbolic functions, and leading to many of the common functions encountered in applications: orthogonal polynomials, gamma and beta functions, hypergeometric functions, Bessel and elliptic functions, and several others. This chapter also contains sections on Fourier and Laplace transforms, and includes tables of these transforms.
Chapter 7: Probability and Statistics begins withbasic probabilityinformation(de n ingseveral common distributions) and leads to common statistical needs (point estimates, con d ence intervals, hypothesis testing, andANOVA). Tables of the normal distribution, and other distributions, are included. Also included in this chapter are queuing theory, Markov chains, and random number generation.
Chapter 8: Scientific Computing explores numerical solutions of linear and nonlinear algebraic systems, numerical algorithms for linear algebra, and how to numerically solve ordinary and partial differential equations.
Chapter 9: Financial Analysis contains the formulae needed to determine the return on an investment and how to determine an annuity (i.e., the cost of a mortgage). Numerical tables covering common values are included.
Chapter 10: Miscellaneous contains details on physical units (de nition s and conversions), formulae for date computations, lists of mathematical and electronic resources, and biographies of famous mathematicians.
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Fundamentals of Engineering

Table of Contents
Units
Conversion Factors
Mathematics
Statics
Dynamics
Mechanics Of Materials
Fluid Mechanics
Thermodynamics
Heat Transfer
Transport Phenomena
Chemistry
Materials Science/Structure Of Matter
Electric Circuits
Computers, Measurement, And Controls
Engineering Economics
Ethics
Chemical Engineering
Civil Engineering
Environmental Engineering
Electrical And Computer Engineering
Industrial Engineering
Mechanical Engineering
Index

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