Mathematics for mechanical engineers / William F. Ames ... [and others].

Format:

Book

Contributor:

Ames, William F.

Language:

English

Subjects (All):

Mechanics, Applied.

Engineering mathematics.

Physical Description:

1 volume (various pagings) : illustrations ; 26 cm

Place of Publication:

Boca Raton, Fla. ; London : CRC Press, [2000]

Summary:

A reference for practicing engineers to the essential problem solving mathematical tools used everyday. For the engineer venturing out of familiar territory, some chapters cover fundamentals such as physical constants, derivatives, integrals, Fourier transforms, Bessel functions, and Legendre functions. For the experts, there are sections on the more advance topics of partial differential equations, approximation methods, and numerical methods often used in applications, and a review of statistics for analyzing data and making inferences.

Contents:

Chapter 1 Tables / William F. Ames

1.1 Greek Alphabet 1

1.2 International System of Units (SI) 1

1.3 Conversion Constants and Multipliers 4

1.4 Physical Constants 6

1.5 Symbols and Terminology for Physical and Chemical Quantities 7

1.6 Elementary Algebra and Geometry 10

1.7 Table of Derivatives 17

1.8 Integrals 18

1.9 The Fourier Transforms 20

1.10 Bessel Functions 27

1.11 Legendre Functions 28

1.12 Table of Differential Equations 29

Chapter 2 Linear Algebra and Matrices / George Cain

2.1 Basic Definitions 1

2.2 Algebra of Matrices 2

2.3 Systems of Equations 2

2.4 Vector Spaces 4

2.5 Rank and Nullity 4

2.6 Orthogonality and Length 5

2.7 Determinants 6

2.8 Eigenvalues and Eigenvectors 6

Chapter 3 Vector Algebra and Calculus / George Cain

3.1 Basic Definitions 1

3.1 Coordinate Systems 2

3.3 Vector Functions 2

3.4 Gradient, Curl, and Divergence 4

3.5 Integration 4

3.6 Integral Thorems 5

Chapter 4 Differential Equations / William F. Ames

4.1 First-Order Equations 1

4.2 Second-Order Equations 1

4.3 Linear Equations with Constant Coefficients 2

4.4 Generating Function (z Transform) 2

Chapter 5 Differential Equations / William F. Ames

5.1 Ordinary Differential Equations 1

5.2 Partial Differential Equations 5

Chapter 6 Integral Equations / William F. Ames

6.1 Classification and Notation 1

6.2 Relation to Differential Equations 1

6.3 Methods of Solution 2

Chapter 7 Approximation Methods / William F. Ames

7.1 Perturbation 1

7.2 Iterative Methods 3

Chapter 8 Integral Transforms / William F. Ames

8.1 Laplace Transform 1

8.2 Convolution Integral 3

8.3 Fourier Transform 4

8.4 Fourier Cosine Transform 4

Chapter 9 Calculus of Variations / William F. Ames

9.1 The Euler Equation 1

9.2 The Variation 1

9.3 Constraints 3

Chapter 10 Optimization Methods / George Cain

10.1 Linear Programming 1

10.2 Unconstrained Nonlinear Programming 2

10.3 Constrained Nonlinear Programming 2

Chapter 11 Engineering Statistics / Y. L. Tong

11.2 Elementary Probability 1

11.3 Random Sample and Sampling Distributions 3

11.4 Normal Distribution-Related Sampling Distributions 4

11.5 Confidence Intervals 7

11.6 Testing Statistical Hypotheses 8

11.7 A Numerical Example 10

Chapter 12 Numerical Methods / William F. Ames

12.2 Linear Algebra Equations 1

12.3 Nonlinear Equations in One Variable 7

12.4 General Methods for Nonlinear Equations in One Variable 9

12.5 Numerical Solution of Simultaneous Nonlinear Equations 9

12.6 Interpolation and Finite Differences 13

12.7 Numerical Differentiation 16

12.8 Numerical Integration 19

12.9 Numerical Solution of Ordinary Differential Equations 21

12.10 Numerical Solution of Integral Equations 24

12.11 Numerical Methods for Partial Differential Equations 25

12.12 Discrete and Fast Fourier Transforms 29

12.13 Software 30

Chapter 13 Experimental Uncertainty Analysis / W.G. Steele, H.W. Coleman

13.2 Uncertainty of a Measured Variable 2

13.3 Uncertainty of a Result 4

13.4 Using Uncertainty Analysis in Experimentation 6

Chapter 14 Chaos / R. L. Kautz

14.2 Flows, Attractors, and Liapunov Exponents 1

14.3 Synchronous Motor 4

Chapter 15 Fuzzy Sets and Fuzzy Logic / Dan M. Frangopol

15.2 Fundamental Notions 2

A. Properties of Gases and Vapors 2

B. Properties of Liquids 35

C. Properties of Solids 39

D. SI Units 75.

Notes:

Includes bibliographical references and index.

ISBN:

0849300568

OCLC:

42786155