Mathematics for Mechanical Engineers: Kreith; Frank: 9780849300561: Book: Technology: eCampus.com

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)

International System of Units (SI)

(3)

Conversion Constants and Multipliers

(2)

Physical Constants

(1)

Symbols and Terminology for Physical and Chemical Quantities

(3)

Elementary Algebra and Geometry

(7)

Table of Derivatives

(1)

Integrals

(2)

The Fourier Transforms

(7)

Bessel Functions

(1)

Legendre Functions

(1)

Table of Differential Equations

Linear Algebra and Matrices

George Cain

Basic Definitions

(1)

Algebra of Matrices

(1)

Systems of Equations

(2)

Vector Spaces

(1)

Rank and Nullity

(1)

Orthogonality and Length

(1)

Determinants

(1)

Eigenvalues and Eigenvectors

Vector Algebra and Calculus

George Cain

Basic Definitions

(1)

Coordinate Systems

(1)

Vector Functions

(2)

Gradient, Curl, and Divergence

(1)

Integration

(1)

Integral Thorems

Differential Equations

William F. Ames

First-Order Equations

(1)

Second-Order Equations

(1)

Linear Equations With Constant Coefficients

(1)

Generating Function (z Transform)

Differential Equations

William F. Ames

Ordinary Differential Equations

(4)

Partial Differential Equations

Integral Equations

William F. Ames

Classification and Notation

(1)

Relation to Differential Equations

(1)

Methods of Solution

Approximation Methods

William F. Ames

Perturbation

(2)

Iterative Methods

Integral Transforms

William F. Ames

Laplace Transform

(2)

Convolution Integral

(1)

Fourier Transform

(1)

Fourier Cosine Transform

Calculus of Variations

William F. Ames

The Euler Equation

(1)

The Variation

(2)

Constraints

Optimization Methods

George Cain

Linear Programming

(1)

Unconstrained Nonlinear Programming

(1)

Constrained Nonlinear Programming

Engineering Statistics

Y. L. Tong

Introduction

(1)

Elementary Probability

(2)

Random Sample and Sampling Distributions

(1)

Normal Distibution-Related Sampling Distributions

(3)

Confidence Intervals

(1)

Testing Statistical Hypotheses

(2)

A Numerical Example

(2)

Concluding Remarks

Numerical Methods

William F. Ames

Introduction

(1)

Linear Algebra Equations

(6)

Nonlinear Equations in One Variable

(2)

General Methods for Nonlinear Equations in One Variable

(1)

Numerical Solution of Simultaneous Nonlinear Equations

(4)

Interpolation and Finite Differences

(3)

Numerical Differentiations

(3)

Numerical Integration

(2)

Numerical Solution of Ordinary Differential Equations

(3)

Numerical Solution of Integral Equations

(1)

Numerical Methods for Partial Differential Equations

(4)

Discrete and Fast Fourier Transforms

(1)

Software

Experimental Uncertainty Analysis

W.G. Steele

H.W. Coleman

Introduction

(1)

Uncertainty of a Measured Variable

(2)

Uncertainty of a Result

(2)

Using Uncertainty Analysis in Experimentation

Chaos

R. L. Kautz

Introduction

(1)

Flows, Attractors, adn Liapunov Exponents

(3)

Synchronous Motor

Fuzzy Sets and Fuzzy Logic

Dan M. Frangopol

Introduction

(1)

Fundamental Notions

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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