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Mathematics for Mechanical Engineers,9780849300561
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Mathematics for Mechanical Engineers


Edition: 1st
Author(s): Kreith; Frank
ISBN10:  0849300568
ISBN13:  9780849300561
Format:  Hardcover
Pub. Date:  12/6/1999
Publisher(s): CRC

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SummaryTable of Contents
Provides convenient access to the essential problem solving tools that mechanical engineers use every day. Covers applications from the many different facets of mechanical engineering, from basic through advanced, to ensure that you can easily find the answers you need.
Tables
William F. Ames
Greek Alphabet
1(1)
International System of Units (SI)
1(3)
Conversion Constants and Multipliers
4(2)
Physical Constants
6(1)
Symbols and Terminology for Physical and Chemical Quantities
7(3)
Elementary Algebra and Geometry
10(7)
Table of Derivatives
17(1)
Integrals
18(2)
The Fourier Transforms
20(7)
Bessel Functions
27(1)
Legendre Functions
28(1)
Table of Differential Equations
29
Linear Algebra and Matrices
George Cain
Basic Definitions
1(1)
Algebra of Matrices
2(1)
Systems of Equations
2(2)
Vector Spaces
4(1)
Rank and Nullity
4(1)
Orthogonality and Length
5(1)
Determinants
6(1)
Eigenvalues and Eigenvectors
6
Vector Algebra and Calculus
George Cain
Basic Definitions
1(1)
Coordinate Systems
2(1)
Vector Functions
2(2)
Gradient, Curl, and Divergence
4(1)
Integration
4(1)
Integral Thorems
5
Differential Equations
William F. Ames
First-Order Equations
1(1)
Second-Order Equations
1(1)
Linear Equations With Constant Coefficients
2(1)
Generating Function (z Transform)
2
Differential Equations
William F. Ames
Ordinary Differential Equations
1(4)
Partial Differential Equations
5
Integral Equations
William F. Ames
Classification and Notation
1(1)
Relation to Differential Equations
1(1)
Methods of Solution
2
Approximation Methods
William F. Ames
Perturbation
1(2)
Iterative Methods
3
Integral Transforms
William F. Ames
Laplace Transform
1(2)
Convolution Integral
3(1)
Fourier Transform
4(1)
Fourier Cosine Transform
4
Calculus of Variations
William F. Ames
The Euler Equation
1(1)
The Variation
1(2)
Constraints
3
Optimization Methods
George Cain
Linear Programming
1(1)
Unconstrained Nonlinear Programming
2(1)
Constrained Nonlinear Programming
2
Engineering Statistics
Y. L. Tong
Introduction
1(1)
Elementary Probability
1(2)
Random Sample and Sampling Distributions
3(1)
Normal Distibution-Related Sampling Distributions
4(3)
Confidence Intervals
7(1)
Testing Statistical Hypotheses
8(2)
A Numerical Example
10(2)
Concluding Remarks
12
Numerical Methods
William F. Ames
Introduction
1(1)
Linear Algebra Equations
1(6)
Nonlinear Equations in One Variable
7(2)
General Methods for Nonlinear Equations in One Variable
9(1)
Numerical Solution of Simultaneous Nonlinear Equations
9(4)
Interpolation and Finite Differences
13(3)
Numerical Differentiations
16(3)
Numerical Integration
19(2)
Numerical Solution of Ordinary Differential Equations
21(3)
Numerical Solution of Integral Equations
24(1)
Numerical Methods for Partial Differential Equations
25(4)
Discrete and Fast Fourier Transforms
29(1)
Software
30
Experimental Uncertainty Analysis
W.G. Steele
H.W. Coleman
Introduction
1(1)
Uncertainty of a Measured Variable
2(2)
Uncertainty of a Result
4(2)
Using Uncertainty Analysis in Experimentation
6
Chaos
R. L. Kautz
Introduction
1(1)
Flows, Attractors, adn Liapunov Exponents
1(3)
Synchronous Motor
4
Fuzzy Sets and Fuzzy Logic
Dan M. Frangopol
Introduction
1(1)
Fundamental Notions
2
Appendices
A. Properties of Gases and Vapors
A-2
B. Properties of Liquids
B-35
C. Properties of Solids
C-39
D. SI Units
D-75
E. Miscellaneous
E-77

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