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Author: Michael J. Evans Publisher: Macmillan ISBN: 9780716747420 Category : Mathematics Languages : en Pages : 704
Book Description
Unlike traditional introductory math/stat textbooks, Probability and Statistics: The Science of Uncertainty brings a modern flavor based on incorporating the computer to the course and an integrated approach to inference. From the start the book integrates simulations into its theoretical coverage, and emphasizes the use of computer-powered computation throughout.* Math and science majors with just one year of calculus can use this text and experience a refreshing blend of applications and theory that goes beyond merely mastering the technicalities. They'll get a thorough grounding in probability theory, and go beyond that to the theory of statistical inference and its applications. An integrated approach to inference is presented that includes the frequency approach as well as Bayesian methodology. Bayesian inference is developed as a logical extension of likelihood methods. A separate chapter is devoted to the important topic of model checking and this is applied in the context of the standard applied statistical techniques. Examples of data analyses using real-world data are presented throughout the text. A final chapter introduces a number of the most important stochastic process models using elementary methods. *Note: An appendix in the book contains Minitab code for more involved computations. The code can be used by students as templates for their own calculations. If a software package like Minitab is used with the course then no programming is required by the students.
Author: Michael J. Evans Publisher: Macmillan ISBN: 9780716747420 Category : Mathematics Languages : en Pages : 704
Book Description
Unlike traditional introductory math/stat textbooks, Probability and Statistics: The Science of Uncertainty brings a modern flavor based on incorporating the computer to the course and an integrated approach to inference. From the start the book integrates simulations into its theoretical coverage, and emphasizes the use of computer-powered computation throughout.* Math and science majors with just one year of calculus can use this text and experience a refreshing blend of applications and theory that goes beyond merely mastering the technicalities. They'll get a thorough grounding in probability theory, and go beyond that to the theory of statistical inference and its applications. An integrated approach to inference is presented that includes the frequency approach as well as Bayesian methodology. Bayesian inference is developed as a logical extension of likelihood methods. A separate chapter is devoted to the important topic of model checking and this is applied in the context of the standard applied statistical techniques. Examples of data analyses using real-world data are presented throughout the text. A final chapter introduces a number of the most important stochastic process models using elementary methods. *Note: An appendix in the book contains Minitab code for more involved computations. The code can be used by students as templates for their own calculations. If a software package like Minitab is used with the course then no programming is required by the students.
Author: John Tabak Publisher: Infobase Publishing ISBN: 0816068739 Category : Electronic books Languages : en Pages : 241
Book Description
Presents a survey of the history and evolution of the branch of mathematics that focuses on probability and statistics, including useful applications and notable mathematicians in this area.
Author: William Byers Publisher: Princeton University Press ISBN: 1400838150 Category : Science Languages : en Pages : 223
Book Description
Why absolute certainty is impossible in science In today's unpredictable and chaotic world, we look to science to provide certainty and answers—and often blame it when things go wrong. The Blind Spot reveals why our faith in scientific certainty is a dangerous illusion, and how only by embracing science's inherent ambiguities and paradoxes can we truly appreciate its beauty and harness its potential. Crackling with insights into our most perplexing contemporary dilemmas, from climate change to the global financial meltdown, this book challenges our most sacredly held beliefs about science, technology, and progress. At the same time, it shows how the secret to better science can be found where we least expect it—in the uncertain, the ambiguous, and the inevitably unpredictable. William Byers explains why the subjective element in scientific inquiry is in fact what makes it so dynamic, and deftly balances the need for certainty and rigor in science with the equally important need for creativity, freedom, and downright wonder. Drawing on an array of fascinating examples—from Wall Street's overreliance on algorithms to provide certainty in uncertain markets, to undecidable problems in mathematics and computer science, to Georg Cantor's paradoxical but true assertion about infinity—Byers demonstrates how we can and must learn from the existence of blind spots in our scientific and mathematical understanding. The Blind Spot offers an entirely new way of thinking about science, one that highlights its strengths and limitations, its unrealized promise, and, above all, its unavoidable ambiguity. It also points to a more sophisticated approach to the most intractable problems of our time.
Author: David Lindley Publisher: Anchor ISBN: 0307389480 Category : Science Languages : en Pages : 274
Book Description
The gripping, entertaining, and vividly-told narrative of a radical discovery that sent shockwaves through the scientific community and forever changed the way we understand the world. Werner Heisenberg’s “uncertainty principle” challenged centuries of scientific understanding, placed him in direct opposition to Albert Einstein, and put Niels Bohr in the middle of one of the most heated debates in scientific history. Heisenberg’s theorem stated that there were physical limits to what we could know about sub-atomic particles; this “uncertainty” would have shocking implications. In a riveting and lively account, David Lindley captures this critical episode and explains one of the most important scientific discoveries in history, which has since transcended the boundaries of science and influenced everything from literary theory to television.
Author: Kostas Kampourakis Publisher: Oxford University Press, USA ISBN: 0190871660 Category : Philosophy Languages : en Pages : 273
Book Description
Anti-evolutionists, climate denialists, and anti-vaxxers, among others, question some of the best-established scientific findings by referring to the uncertainties in these areas of research. Uncertainty: How It Makes Science Advance shows that uncertainty is an inherent feature of science that makes it advance by motivating further research.
Author: Michael A. Bean Publisher: American Mathematical Soc. ISBN: 0821847929 Category : Mathematics Languages : en Pages : 464
Book Description
Covers the basic probability of distributions with an emphasis on applications from the areas of investments, insurance, and engineering. This book is suitable as a text for senior undergraduate and beginning graduate students in mathematics, statistics, actuarial science, finance, or engineering.
Author: Henry N. Pollack Publisher: Cambridge University Press ISBN: 1139435442 Category : Science Languages : en Pages : 259
Book Description
Is the world warming due to the Greenhouse Effect? Can nuclear weapon arsenals be relied upon without periodic testing? Is the world running out of oil? What action should be taken against an outbreak of foot-and-mouth or BSE? Why can't scientists provide certain answers to these and many other questions? The uncertainty of science is puzzling. It arises when scientists have more than one answer to a problem or disagree amongst themselves. In this engaging book, Henry Pollack guides the reader through the maze of contradiction and uncertainty, acquainting them with the ways that uncertainty arises in science, how scientists accommodate and make use of uncertainty, and how in the face of uncertainty they reach their conclusions. Taking examples from recent science headlines and every day life, Uncertain Science ... Uncertain World enables the reader to evaluate uncertainty from their own perspectives, and find out more about how science actually works.
Author: Helga Nowotny Publisher: John Wiley & Sons ISBN: 0745687652 Category : Education Languages : en Pages : 161
Book Description
Uncertainty is interwoven into human existence. It is a powerful incentive in the search for knowledge and an inherent component of scientific research. We have developed many ways of coping with uncertainty. We make promises, manage risks and make predictions to try to clear the mists and predict ahead. But the future is inherently uncertain - and the mist that shrouds our path an inherent part of our journey. The burning question is whether our societies can face up to uncertainty, learn to embrace it and whether we can open up to a constantly evolving future. In this new book, Helga Nowotny shows how research can thrive at the cusp of uncertainty. Science, she argues, can eventually transform uncertainty into certainty, but into certainty which remains always provisional. Uncertainty is never completely static. It is constantly evolving. It encompasses geological time scales and, at the level of human experience, split-second changes as cells divide. Life and death decisions are taken in the blink of the eye, while human interactions with the natural environment may reveal their impact over millennia. Uncertainty is cunning. It appears at unexpected moments, it shuns the straight line, takes the oblique route and sometimes the unexpected short-cut. As we acknowledge the cunning of uncertainty, its threats retreat. We accept that any scientific inquiry must produce results that are provisional and uncertain. This message is vital for politicians and policy-makers: do not be tempted by small, short-term, controllable gains to the exclusion of uncertain, high-gain opportunities. Wide-ranging in its use of examples and enriched by the author’s experience as President of the European Research Council, one of the world’s leading funding organisations for fundamental research. The Cunning of Uncertainty is a must-read for students and scholars of all disciplines, politicians, policy-makers and anyone concerned with the fundamental role of knowledge and science in our societies today.
Author: Paul W. Glimcher Publisher: MIT Press ISBN: 9780262572279 Category : Medical Languages : en Pages : 404
Book Description
In this provocative book, Paul Glimcher argues that economic theory may provide an alternative to the classical Cartesian model of the brain and behavior. Glimcher argues that Cartesian dualism operates from the false premise that the reflex is able to describe behavior in the real world that animals inhabit. A mathematically rich cognitive theory, he claims, could solve the most difficult problems that any environment could present, eliminating the need for dualism by eliminating the need for a reflex theory. Such a mathematically rigorous description of the neural processes that connect sensation and action, he explains, will have its roots in microeconomic theory. Economic theory allows physiologists to define both the optimal course of action that an animal might select and a mathematical route by which that optimal solution can be derived. Glimcher outlines what an economics-based cognitive model might look like and how one would begin to test it empirically. Along the way, he presents a fascinating history of neuroscience. He also discusses related questions about determinism, free will, and the stochastic nature of complex behavior.
Author: Roger M. Cooke Publisher: Oxford University Press ISBN: 0195362373 Category : Science Languages : en Pages : 334
Book Description
This book is an extensive survey and critical examination of the literature on the use of expert opinion in scientific inquiry and policy making. The elicitation, representation, and use of expert opinion is increasingly important for two reasons: advancing technology leads to more and more complex decision problems, and technologists are turning in greater numbers to "expert systems" and other similar artifacts of artificial intelligence. Cooke here considers how expert opinion is being used today, how an expert's uncertainty is or should be represented, how people do or should reason with uncertainty, how the quality and usefulness of expert opinion can be assessed, and how the views of several experts might be combined. He argues for the importance of developing practical models with a transparent mathematic foundation for the use of expert opinion in science, and presents three tested models, termed "classical," "Bayesian," and "psychological scaling." Detailed case studies illustrate how they can be applied to a diversity of real problems in engineering and planning.
Author: Michael J. Evans
Author: Michael J. Evans
Author: John Tabak
Author: William Byers
Author: David Lindley
Author: Kostas Kampourakis
Author: Michael A. Bean
Author: Henry N. Pollack
Author: Helga Nowotny
Author: Paul W. Glimcher
Author: Roger M. Cooke