Mathematics of Random Phenomena

Mathematics of Random Phenomena

Author: P. Krée

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 452

ISBN-13: 9400947704

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Approach your problems from the right end It isn't that they can't see the solution. It is and begin with the answers. Then one day, that they can't see the problem. perhaps you will find the final question. G. K. Chesterton. The Scandal of Father 'The Hermit Clad in Crane Feathers' in R. Brown 'The point of a Pin'. van Gulik's The Chinese Maze Murders. Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. However, the "tree" of knowledge of mathematics and related fields does not grow only by putting forth new branches. It also happens, quite often in fact, that branches which were thought to be completely disparate are suddenly seen to be related. Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non-trivially) in regional and theoretical economics; algebraic geometry interacts with physics; the Minkowsky lemma, coding theory and the structure of water meet one another in packing and covering theory; quantum fields, crystal defects and mathematical programming profit from homotopy theory; Lie algebras are relevant to filtering; and prediction and electrical engineering can use Stein spaces. And in addition to this there are such new emerging subdisciplines as "experimental mathematics", "CFD", "completely integrable systems", "chaos, synergetics and large-scale order", which are almost impossible to fit into the existing classification schemes.


Random Phenomena

Random Phenomena

Author: Babatunde A. Ogunnaike

Publisher: CRC Press

Published: 2011-05-20

Total Pages: 1061

ISBN-13: 1420044982

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Many of the problems that engineers face involve randomly varying phenomena of one sort or another. However, if characterized properly, even such randomness and the resulting uncertainty are subject to rigorous mathematical analysis. Taking into account the uniquely multidisciplinary demands of 21st-century science and engineering, Random Phenomena: Fundamentals of Probability and Statistics for Engineers provides students with a working knowledge of how to solve engineering problems that involve randomly varying phenomena. Basing his approach on the principle of theoretical foundations before application, Dr. Ogunnaike presents a classroom-tested course of study that explains how to master and use probability and statistics appropriately to deal with uncertainty in standard problems and those that are new and unfamiliar. Giving students the tools and confidence to formulate practical solutions to problems, this book offers many useful features, including: Unique case studies to illustrate the fundamentals and applications of probability and foster understanding of the random variable and its distribution Examples of development, selection, and analysis of probability models for specific random variables Presentation of core concepts and ideas behind statistics and design of experiments Selected "special topics," including reliability and life testing, quality assurance and control, and multivariate analysis As classic scientific boundaries continue to be restructured, the use of engineering is spilling over into more non-traditional areas, ranging from molecular biology to finance. This book emphasizes fundamentals and a "first principles" approach to deal with this evolution. It illustrates theory with practical examples and case studies, equipping readers to deal with a wide range of problems beyond those in the book. About the Author: Professor Ogunnaike is Interim Dean of Engineering at the University of Delaware. He is the recipient of the 2008 American Automatic Control Council's Control Engineering Practice Award, the ISA's Donald P. Eckman Education Award, the Slocomb Excellence in Teaching Award, and was elected into the US National Academy of Engineering in 2012.


The Practice of Business Statistics Student Solutions Manual

The Practice of Business Statistics Student Solutions Manual

Author: Michael A. Fligner

Publisher: Macmillan

Published: 2003-03-14

Total Pages: 356

ISBN-13: 9780716798606

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Available in the PBS UpGrade Study Pack, the manual explanations of crucial concepts in each section of PBS, plus detailed solutions to key problems and step-through models of important techniques.


Introduction to the Practice of Statistics Study Guide with Solutions Manual

Introduction to the Practice of Statistics Study Guide with Solutions Manual

Author: Michael A. Fligner

Publisher: Macmillan

Published: 2008-06-27

Total Pages: 286

ISBN-13: 1429214732

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With a focus on data analysis, statistical reasoning, and the way statisticians actually work, this book has helped revolutionize the way statistics are taught and brings the power of critical thinking and practical applications to your course. This sixth edition has been updated with new content.