A Modern Theory Of Random Variation
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| Author | : Patrick Muldowney |
| Publisher | : John Wiley & Sons |
| Total Pages | : 493 |
| Release | : 2013-04-26 |
| Genre | : Science |
| ISBN | : 1118345940 |
A ground-breaking and practical treatment of probability and stochastic processes A Modern Theory of Random Variation is a new and radical re-formulation of the mathematical underpinnings of subjects as diverse as investment, communication engineering, and quantum mechanics. Setting aside the classical theory of probability measure spaces, the book utilizes a mathematically rigorous version of the theory of random variation that bases itself exclusively on finitely additive probability distribution functions. In place of twentieth century Lebesgue integration and measure theory, the author uses the simpler concept of Riemann sums, and the non-absolute Riemann-type integration of Henstock. Readers are supplied with an accessible approach to standard elements of probability theory such as the central limmit theorem and Brownian motion as well as remarkable, new results on Feynman diagrams and stochastic integrals. Throughout the book, detailed numerical demonstrations accompany the discussions of abstract mathematical theory, from the simplest elements of the subject to the most complex. In addition, an array of numerical examples and vivid illustrations showcase how the presented methods and applications can be undertaken at various levels of complexity. A Modern Theory of Random Variation is a suitable book for courses on mathematical analysis, probability theory, and mathematical finance at the upper-undergraduate and graduate levels. The book is also an indispensible resource for researchers and practitioners who are seeking new concepts, techniques and methodologies in data analysis, numerical calculation, and financial asset valuation. Patrick Muldowney, PhD, served as lecturer at the Magee Business School of the UNiversity of Ulster for over twenty years. Dr. Muldowney has published extensively in his areas of research, including integration theory, financial mathematics, and random variation.
| Author | : Vladimir M. Zolotarev |
| Publisher | : Walter de Gruyter |
| Total Pages | : 429 |
| Release | : 2011-09-06 |
| Genre | : Mathematics |
| ISBN | : 3110936534 |
The series is devoted to the publication of high-level monographs and surveys which cover the whole spectrum of probability and statistics. The books of the series are addressed to both experts and advanced students.
| Author | : Patrick Muldowney |
| Publisher | : John Wiley & Sons |
| Total Pages | : 384 |
| Release | : 2021-04-22 |
| Genre | : Mathematics |
| ISBN | : 1119595525 |
GAUGE INTEGRAL STRUCTURES FOR STOCHASTIC CALCULUS AND QUANTUM ELECTRODYNAMICS A stand-alone introduction to specific integration problems in the probabilistic theory of stochastic calculus Picking up where his previous book, A Modern Theory of Random Variation, left off, Gauge Integral Structures for Stochastic Calculus and Quantum Electrodynamics introduces readers to particular problems of integration in the probability-like theory of quantum mechanics. Written as a motivational explanation of the key points of the underlying mathematical theory, and including ample illustrations of the calculus, this book relies heavily on the mathematical theory set out in the author’s previous work. That said, this work stands alone and does not require a reading of A Modern Theory of Random Variation in order to be understandable. Gauge Integral Structures for Stochastic Calculus and Quantum Electrodynamics takes a gradual, relaxed, and discursive approach to the subject in a successful attempt to engage the reader by exploring a narrower range of themes and problems. Organized around examples with accompanying introductions and explanations, the book covers topics such as: Stochastic calculus, including discussions of random variation, integration and probability, and stochastic processes Field theory, including discussions of gauges for product spaces and quantum electrodynamics Robust and thorough appendices, examples, illustrations, and introductions for each of the concepts discussed within An introduction to basic gauge integral theory (for those unfamiliar with the author’s previous book) The methods employed in this book show, for instance, that it is no longer necessary to resort to unreliable “Black Box” theory in financial calculus; that full mathematical rigor can now be combined with clarity and simplicity. Perfect for students and academics with even a passing interest in the application of the gauge integral technique pioneered by R. Henstock and J. Kurzweil, Gauge Integral Structures for Stochastic Calculus and Quantum Electrodynamics is an illuminating and insightful exploration of the complex mathematical topics contained within.
| Author | : V. S. Pugachev |
| Publisher | : Elsevier |
| Total Pages | : 852 |
| Release | : 2013-10-22 |
| Genre | : Technology & Engineering |
| ISBN | : 1483156257 |
Theory of Random Functions and Its Application to Control Problems presents insights into a branch of probability theory, the theory of random functions, which studies and takes into account the effects of random factors on the functioning of control systems. The book does not require a high level of competency in the use of mathematical techniques and explains the basics of probability theory before focusing on the concepts of the theory of random functions. The selection also discusses in great detail the aspects of random functions and provides chapters that cover the determination and solution to problems of optimal systems. The text will be of value to telecommunications engineers, aeronautical engineers, meteorologists, seismologists, and other professionals engaged in applied sciences.
| Author | : Zondervan, |
| Publisher | : Zondervan Academic |
| Total Pages | : 704 |
| Release | : 2017-04-25 |
| Genre | : Religion |
| ISBN | : 0310496063 |
The definitive reference work on science and Christian belief How does Christian theology relate to scientific inquiry? What are the competing philosophies of science, and do they "work" with a Christian faith based on the Bible? No reference work has covered this terrain sufficiently--until now. Featuring entries from over 140 international contributors, the Dictionary of Christianity and Science is a deeply-researched, peer-reviewed, fair-minded work that illuminates the intersection of science and Christian belief. In one volume, you get reliable summaries and critical analyses of over 450 relevant concepts, theories, terms, movements, individuals, and debates. You will find answers to your toughest questions about faith and science, from the existence of Adam and Eve to the age of the earth, evolution and string theory. FEATURES INCLUDE: Over 450 entries that will help you think through some of today's most challenging scientific topics, including climate change, evolution, bioethics, and much more Essays from over 140 leading international scholars, including Francis Beckwith, Michael Behe, Darrell Bock, William Lane Craig, Hugh Ross, Craig Keener, Davis Young, John Walton, and many more Multiple-view essays on controversial topics allow you to understand and compare differing Christian viewpoints Learn about flesh-and-blood figures who have shaped the interaction of science and religion: Augustine, Aquinas, Bacon, Darwin, and Stephen Hawking are just the beginning Fully cross-referenced, entries include references and recommendations for further reading Advance Praise: "Every Christian studying science will want a copy within arm’s reach." --Scot McKnight, Northern Seminary "This is an invaluable resource that belongs in every Christian's library. I will be keeping my copy close by when I’m writing." --Lee Strobel, Elizabeth and John Gibson chair of apologetics, Houston Baptist University "Sparkles with passion, controversy, and diverse perspectives."--Karl Giberson, professor of science and religion, Stonehill College "An impressive resource that presents a broad range of topics from a broad tent of evangelical scholars."--Michael R. Licona, Houston Baptist University "I am certain that this dictionary will serve the church for many years in leading many to demonstrate that modern science can glorify our Creator and honor his creation." --Denis O. Lamoureux, University of Alberta "'Dictionary' is too humble a label for what this is! I anticipate that this will offer valuable guidance for Christian faithfulness." --C. John Collins, Covenant Theological Seminary Get answers to the difficult questions surround faith and science! Adam and Eve | the Age of the Earth | Climate Change | Evolution | Fossil Record | Genesis Flood | Miracles | Cosmology | Big Bang theory | Bioethics | Darwinism Death | Extraterrestrial Life | Multiverse | String theory | and much, much more
| Author | : Albert N. Shiryaev |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 468 |
| Release | : 2013-01-09 |
| Genre | : Mathematics |
| ISBN | : 3642335497 |
The role of Yuri Vasilyevich Prokhorov as a prominent mathematician and leading expert in the theory of probability is well known. Even early in his career he obtained substantial results on the validity of the strong law of large numbers and on the estimates (bounds) of the rates of convergence, some of which are the best possible. His findings on limit theorems in metric spaces and particularly functional limit theorems are of exceptional importance. Y.V. Prokhorov developed an original approach to the proof of functional limit theorems, based on the weak convergence of finite dimensional distributions and the condition of tightness of probability measures. The present volume commemorates the 80th birthday of Yuri Vasilyevich Prokhorov. It includes scientific contributions written by his colleagues, friends and pupils, who would like to express their deep respect and sincerest admiration for him and his scientific work.
| Author | : Richard Schaefer |
| Publisher | : Lulu.com |
| Total Pages | : 250 |
| Release | : 2019-10-28 |
| Genre | : History |
| ISBN | : 1794708340 |
Author Richard A. Schaefer was a lifelong communicator, fascinated by stories and, like any good journalist, dug for the facts and verified sources, exploring nagging questions such as "Is creation or evolution more credible, based on science and expert opinions?" This book truly represented a personal passion of looking at all sides of the CREATION vs. EVOLUTION issue. He called on many experts and theorists-including Charles Darwin himself. Surprisingly, Darwin was far more skeptical of his own theories than are many PhDs today, and admitted to significant holes in his logic. Read for yourself, as great thinkers explore the pros and cons of both theories and their variants.
| Author | : Ernst Mayr |
| Publisher | : Harvard University Press |
| Total Pages | : 582 |
| Release | : 1988 |
| Genre | : Science |
| ISBN | : 9780674896666 |
A collection of twenty-eight essays, five previously unpublished, grouped into nine categories: Philosophy, Natural Selection, Adaptation, Darwin, Diversity, Species, Speciation, Macroevolution, and Historical Perspective. The book, Ernst Mayr notes in the Foreword, is an attempt "to strengthen the bridge between biology and philosophy, and point to the new direction in which a new philosophy of biology will move."
| Author | : Alan R. Templeton |
| Publisher | : John Wiley & Sons |
| Total Pages | : 768 |
| Release | : 2021-05-04 |
| Genre | : Science |
| ISBN | : 1118504364 |
Population Genetics and Microevolutionary Theory Explore the fundamentals of the biological implications of population genetic theory In the newly revised Second Edition of Population Genetics and Microevolutionary Theory, accomplished researcher and author Alan R. Templeton delivers a fulsome discussion of population genetics with coverage of exciting new developments in the field, including new discoveries in epigenetics and genome-wide studies. The book prepares students to successfully apply population genetics analytical tools by providing a solid foundation in microevolutionary theory. The book emphasizes that population structure forms the underlying template upon which quantitative genetics and natural selection operate and is a must-read for future population and evolutionary geneticists and those who wish to work in genetic epidemiology or conservation biology. You’ll learn about a wide array of topics, including quantitative genetics, the interactions of natural selection with other evolutionary forces, and selection in heterogeneous environments and age-structured populations. Appendices that cover genetic survey techniques and probability and statistics conclude the book. Readers will also benefit from the inclusion of: A thorough introduction to population genetics, including the scope of the subject, its premises, and the Hardy-Weinberg Model of Microevolution An exploration of systems of mating, including a treatment of the use of runs of homozygosity to show pedigree inbreeding in distant ancestors A practical discussion of genetic drift, including the use of effective sizes in conservation biology (with a discussion of African rhinos as an example) A concise examination of coalescence, including a treatment of the infinite sites model Perfect for graduate students in genetics and evolutionary biology programs and advanced undergraduate biology majors, Population Genetics and Microevolutionary Theory will also earn a place in the libraries of students taking courses in conservation biology, human genetics, bioinformatics, and genomics.
| Author | : Robert Boyd |
| Publisher | : |
| Total Pages | : 465 |
| Release | : 2005 |
| Genre | : Psychology |
| ISBN | : 019518145X |
The Origin and Evolution of Cultures presents articles based on two notions. That culture is crucial for understanding human behaviour; and that culture is part of biology. Interest in this collection will span anthropology, psychology, economics, philosophy, and political science.
