Mathematics Handbook for Science and Engineering

ISBN-10: 3540211411
ISBN-13: 9783540211419
Edition: 5th 2004 (Revised)
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Description: Mathematics Handbook for Science and Engineering is a comprehensive handbook for scientists, engineers, teachers and students at universities. The book presents in a lucid and accessible form classical areas of mathematics like algebra, geometry and  More...

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Book details

List price: $89.99
Edition: 5th
Copyright year: 2004
Publisher: Springer
Publication date: 3/16/2004
Binding: Hardcover
Pages: 562
Size: 6.50" wide x 9.00" long x 1.50" tall
Weight: 2.222
Language: English

Mathematics Handbook for Science and Engineering is a comprehensive handbook for scientists, engineers, teachers and students at universities. The book presents in a lucid and accessible form classical areas of mathematics like algebra, geometry and analysis and also areas of current interest like discrete mathematics, probability, statistics, optimization and numerical analysis. It concentrates on definitions, results, formulas, graphs and tables and emphasizes concepts and methods with applications in technology and science. For the fifth edition the chapter on Optimization has been enlarged and the chapters on Probability Theory and Statstics have been carefully revised.

Preface
Fundamentals. Discrete Mathematics
Logic
Set Theory
Binary Relations and Functions
Algebraic Structures
Graph Theory
Codes
Algebra
Basic Algebra of Real Numbers
Number Theory
Complex Numbers
Algebraic Equations
Geometry and Trigonometry
Plane Figures
Solids
Spherical Trigonometry
Geometrical Vectors
Plane Analytic Geometry
Analytic Geometry in Space
Linear Algebra
Matrices
Determinants
Systems of Linear Equations
Linear Coordinate Transformations
Eigenvalues. Diagonalization
Quadratic Forms
Linear Spaces
Linear Mappings
Tensors
Complex matrices
The Elementary Functions
A Survey of the Elementary Functions
Polynomials and Rational Functions
Logarithmic, Exponential, Power and Hyperbolic Functions
Trigonometric and Inverse Trigonometric Functions
Differential Calculus (one variable)
Some Basic Concepts
Limits and Continuity
Derivatives
Monotonicity. Extremes of Functions
Integral Calculus
Indefinite Integrals
Definite Integrals
Applications of Differential and Integral Calculus
Tables of Indefinite Integrals
Tables of Definite Integrals
Sequences and Series
Sequences of Numbers
Sequences of Functions
Series of Constant Terms
Series of Functions
Taylor Series
Special Sums and Series
Ordinary Differential Equations (ODE)
Differential Equations of the First Order
Differential Equations of the Second Order
Linear Differential Equations
Autonomous systems
General Concepts and Results
Linear Difference Equations
Multidimensional Calculus
The Space R<sup>n</sup>
Surfaces. Tangent Planes
Limits and Continuity
Partial Derivatives
Extremes of Functions
Functions f: R<sup>n</sup> &#8594; R<sup>m</sup> (R<sup>n</sup> &#8594; R<sup>n</sup>)
Double Integrals
Triple Integrals
Partial Differential Equations
Vector Analysis
Curves
Vector Fields
Line Integrals
Surface Integrals
Orthogonal Series and Special Functions
Orthogonal Systems
Orthogonal Polynomials
Bernoulli and Euler Polynomials
Bessel Functions
Functions Defined by Transcendental Integrals
Step and Impulse Functions
Functional Analysis
Lebesgue Integrals
Generalized functions (Distributions)
Transforms
Trigonometric Fourier Series
Fourier Transforms
Discrete Fourier Transforms
The z-transform
Laplace Transforms
Dynamical Systems (Filters)
Hankel and Hilbert transforms
Wavelets
Complex Analysis
Functions of a Complex Variable
Complex Integration
Power Series Expansions
Zeros and Singularities
Conformal Mappings
Optimization
Calculus of Variations
Linear Optimization
Non-linear Optimization
Dynamic Optimization
Numerical Analysis and Programming
Approximations and Errors
Numerical Solution of Equations
Interpolation
Numerical Integration and Differentiation
Numerical Solutions of Differential Equations
Numerical summation
Probability Theory
Basic Probability Theory
Probability Distributions
Stochastic Processes
Algorithms for Calculation of Probability Distributions
Simulation
Queueing Systems
Reliability
Tables
Statistics
Descriptive Statistics
Point Estimation
Confidence Intervals
Tables for Confidence Intervals
Tests of Significance
Linear Models
Distribution-free Methods
Statistical Quality Control
Factorial Experiments
Analysis of life time (failure time) data
Statistical glossary
Miscellaneous
Glossary of functions
Glossary of symbols
Index

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