Survey of Industrial Mathematics

ISBN-10: 0486477029
ISBN-13: 9780486477022
Edition: 2010
List price: $15.95 Buy it from $14.18
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Description: This text shows advanced undergraduate and graduate students how to solve the problems they'll encounter in their professional lives. A concise single-volume treatment, it employs MATLAB and other strategies to explore typical industrial problems.  More...

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Book details

List price: $15.95
Copyright year: 2010
Publisher: Dover Publications, Incorporated
Publication date: 7/21/2010
Binding: Paperback
Pages: 384
Size: 5.50" wide x 8.50" long x 0.75" tall
Weight: 0.792
Language: English

This text shows advanced undergraduate and graduate students how to solve the problems they'll encounter in their professional lives. A concise single-volume treatment, it employs MATLAB and other strategies to explore typical industrial problems. Students learn how to write reports and convey mathematical data in a variety of situations. 2000 edition.

Preface
Acknowledgments
Statistical Reasoning
Random Variables
Uniform Distributions
Gaussian Distributions
The Binomial Distribution
The Poisson Distribution
Taguchi Quality Control
Exercises
The Monte Carlo Method
Computing Integrals
Mean Time Between Failures
Servicing Requests
The Newsboy Problem (Reprise)
Exercises
Data Acquisition and Manipulation
The z-Transform
Linear Recursions
Filters
Stability
Polar and Bode Plots
Aliasing
Closing the Loop
Why Decibels?
Exercises
The Discrete Fourier Transform
Real Time Processing
Properties of the DFT
Filter Design
The Fast Fourier Transform
Image Processing
Exercises
Linear Programming
Optimization
The Diet Problem
The Simplex Algorithm
Regression
Best Fit to Discrete Data
Norms on R<sup>n</sup>
Hilbert Space
Gram's Theorem on Regression
Exercises
Cost-Benefit Analysis
Present Value
Life-Cycle Savings
Exercises
Microeconomics
Supply and Demand
Revenue, Cost, and Profit
Elasticity of Demand
Duopolistic Competition
Theory of Production
Leontief Input/Output
Exercises
Ordinary Differential Equations
Separation of Variables
Mechanics
Linear ODEs with Constant Coefficients
Systems
Exercises
Frequency-Domain Methods
The Frequency Domain
Generalized Signals
Plants in Cascade
Surge Impedance
Stability
Filters
Feedback and Root Locus
Nyquist Analysis
Control
Exercises
Partial Differential Equations
Lumped versus Distributed
The Big Six PDEs
Separation of Variables
Unbounded Spatial Domains
Periodic Steady State
Other Distributed Models
Exercises
Divided Differences
Euler's Method
Systems
PDEs
Runge-Kutta Method
Exercises
Galerkin's Method
Galerkin's Requirement
Eigenvalue Problems
Steady Problems
Transient Problems
Finite Elements
Why So Effective?
Exercises
Splines
Why Cubics?
m-Splines
Cubic Splines
Exercises
Report Writing
The formal Technical Report
The Memo
The Progress Report
The Executive Summary
The Problem Statement
Projector Presentations
Approaching a Writing Task
Style
Writer's checklist
Appendix A: Additional Problems
Appendix B: Selected Solutions
References
Index

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