Math Refresher for Scientists and Engineers

ISBN-10: 0471757152
ISBN-13: 9780471757153
Edition: 3rd 2006 (Revised)
Authors: John R. Fanchi
List price: $72.99 Buy it from $35.90
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Description: Written for scientists and engineers needing to understand the latest technology or preparing for a professional examination, this refresher course walks them through the mathematics skills to bring them fully up to date.

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Book details

List price: $72.99
Edition: 3rd
Copyright year: 2006
Publisher: John Wiley & Sons, Incorporated
Publication date: 6/5/2006
Binding: Paperback
Pages: 360
Size: 6.00" wide x 9.00" long x 0.75" tall
Weight: 1.144
Language: English

Written for scientists and engineers needing to understand the latest technology or preparing for a professional examination, this refresher course walks them through the mathematics skills to bring them fully up to date.

Preface
Algebra
Algebraic Axioms
Algebraic Operations
Exponents and Roots
Quadratic Equations
Logarithms
Factorials
Complex Numbers
Polynomials and Partial Fractions
Geometry, Trigonometry, and Hyperbolic Functions
Geometry
Trigonometry
Common Coordinate Systems
Euler's Equation and Hyperbolic Functions
Series Representations
Analytic Geometry
Line
Conic Sections
Polar Form of Complex Numbers
Linear Algebra I
Rotation of Axes
Matrices
Determinants
Linear Algebra II
Vectors
Vector Spaces
Eigenvalues and Eigenvectors
Matrix Diagonalization
Differential Calculus
Limits
Derivatives
Finite Difference Concept
Partial Derivatives
Partial Differentiation
Vector Analysis
Analyticity and the Cauchy-Riemann Equations
Integral Calculus
Indefinite Integrals
Definite Integrals
Solving Integrals
Numerical Integration
Special Integrals
Line Integral
Double Integral
Fourier Analysis
Fourier Integral and Fourier Transform
Time Series and Z Transform
Laplace Transform
Ordinary Differential Equations
First-Order ODE
Higher-Order ODE
Stability Analysis
Introduction to Nonlinear Dynamics and Chaos
Ode Solution Techniques
Variation of Parameters
Cauchy Equation
Series Methods
Laplace Transform Method
Partial Differential Equations
Boundary Conditions
PDE Classification Scheme
Analytical Solution Techniques
Numerical Solution Methods
Integral Equations
Classification
Integral Equation Representation of a Second-Order ODE
Solving Integral Equations: Neumann Series Method
Solving Integral Equations with Separable Kernels
Solving Integral Equations with Laplace Transforms
Calculus of Variations
Calculus of Variations with One Dependent Variable
The Beltrami Identity and the Brachistochrone Problem
Calculus of Variations with Several Dependent Variables
Calculus of Variations with Constraints
Tensor Analysis
Contravariant and Covariant Vectors
Tensors
The Metric Tensor
Tensor Properties
Probability
Set Theory
Probability Defined
Properties of Probability
Probability Distribution Defined
Probability Distributions
Joint Probability Distribution
Expectation Values and Moments
Multivariate Distributions
Example Probability Distributions
Statistics
Probability and Frequency
Ungrouped Data
Grouped Data
Statistical Coefficients
Curve Fitting, Regression, and Correlation
Solutions to Exercises
Algebra
Geometry, Trigonometry, and Hyperbolic Functions
Analytic Geometry
Linear Algebra I
Linear Algebra II
Differential Calculus
Partial Derivatives
Integral Calculus
Special Integrals
Ordinary Differential Equations
ODE Solution Techniques
Partial Differential Equations
Integral Equations
Calculus of Variations
Tensor Analysis
Probability
Probability Distributions
Statistics
References
Index

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