Introductory Statistics and Random Phenomena: Uncertainty, Complexity and Chaotic Behavior in Engineering and Science

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Springer Science & Business Media, 6 .. 2012 - 509 ˹
The present book is based on a course developed as partofthe large NSF-funded GatewayCoalitionInitiativeinEngineeringEducationwhichincludedCaseWest ern Reserve University, Columbia University, Cooper Union, Drexel University, Florida International University, New Jersey Institute ofTechnology, Ohio State University, University ofPennsylvania, Polytechnic University, and Universityof South Carolina. The Coalition aimed to restructure the engineering curriculum by incorporating the latest technological innovations and tried to attract more and betterstudents to engineering and science. Draftsofthis textbookhave been used since 1992instatisticscoursestaughtatCWRU, IndianaUniversity, Bloomington, and at the universities in Gottingen, Germany, and Grenoble, France. Another purpose of this project was to develop a courseware that would take advantage ofthe Electronic Learning Environment created by CWRUnet-the all fiber-optic Case Western Reserve University computer network, and its ability to let students run Mathematica experiments and projects in their dormitory rooms, and interactpaperlessly with the instructor. Theoretically, onecould try togothroughthisbook withoutdoing Mathematica experimentsonthecomputer, butitwouldbelikeplayingChopin's Piano Concerto in E-minor, or Pink Floyd's The Wall, on an accordion. One would get an idea ofwhatthe tune was without everexperiencing the full richness andpowerofthe entire composition, and the whole ambience would be miscued.
 

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Data Representation and Compression
55
Analytic Representation of Random Experimental Data
119
Algorithmic Complexity and Random Strings
203
Statistical Independence and Kolmogorovs Probability Theory
243
How Uncertainty Arises in Scientific
293
General Principles of Statistical Analysis
367
Statistical Inference for Normal Populations
393
Analysis of Variance
443
Uncertainty Principle in Signal Processing and Quantum Mechanics
461
A Critique of Pure Reason
469
Uncertain Virtual Worlds Mathematica Packages
477
Tables
497
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