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Author: Patrick Muldowney
Publisher: John Wiley & Sons
ISBN: 1118345940
Category : Science
Languages : en
Pages : 493
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Book Description
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: Patrick Muldowney
Publisher: John Wiley & Sons
ISBN: 1118345940
Category : Science
Languages : en
Pages : 493
Get Book Here
Book Description
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
ISBN: 3110936534
Category : Mathematics
Languages : en
Pages : 429
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Book Description
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
ISBN: 1119595525
Category : Mathematics
Languages : en
Pages : 56
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Book Description
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: Albert N. Shiryaev
Publisher: Springer Science & Business Media
ISBN: 3642335497
Category : Mathematics
Languages : en
Pages : 468
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Book Description
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
ISBN: 1794708340
Category : History
Languages : en
Pages : 250
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Book Description
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: Guy Hart-Davis
Publisher: John Wiley & Sons
ISBN: 111917371X
Category : Computers
Languages : en
Pages : 320
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Book Description
More than 500 color illustrations, combined with easy-to-follow explanations, get you up and running by clearly showing you how to access and download books, apps, music, and video, as well as send photos, sync with your other Apple devices, edit movies on your phone, and effectively use the current OS.
Author: Ernst Mayr
Publisher: Harvard University Press
ISBN: 9780674896666
Category : Science
Languages : en
Pages : 582
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Book Description
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: Robert Boyd
Publisher:
ISBN: 019518145X
Category : Psychology
Languages : en
Pages : 465
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Book Description
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.
Author: Bruce Gordon
Publisher: Open Road Media
ISBN: 1497644372
Category : Biography & Autobiography
Languages : en
Pages : 967
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Book Description
The intellectual and cultural battles now raging over theism and atheism, conservatism and secular progressivism, dualism and monism, realism and antirealism, and transcendent reality versus material reality extend even into the scientific disciplines. This stunning new volume captures this titanic clash of worldviews among those who have thought most deeply about the nature of science and of the universe itself. Unmatched in its breadth and scope, The Nature of Nature brings together some of the most influential scientists, scholars, and public intellectuals—including three Nobel laureates—across a wide spectrum of disciplines and schools of thought. Here they grapple with a perennial question that has been made all the more pressing by recent advances in the natural sciences: Is the fundamental explanatory principle of the universe, life, and self-conscious awareness to be found in inanimate matter or immaterial mind? The answers found in this book have profound implications for what it means to do science, what it means to be human, and what the future holds for all of us.
Author: Carl J. Becker
Publisher: iUniverse
ISBN: 1450224504
Category : Science
Languages : en
Pages : 358
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Book Description
While the discoveries of modern academia have deconstructed and replaced all of Victorian science in detail we remain addicted to the Darwinian theory of biological evolution. Darwinists bicker with their dialectical counterpart, Creationism, as if nothing else could possibly exist. Is it not past time for us to evolve into the 21st century and reflect the database of modern science, or is this yet another cultural institution that is too big to fail? Letters of Recommendation I thoroughly enjoy your writing and your play with ideas. Dare I confess that I keep your book on my night table and sample it at the end of the evening to settle my mind for sleep. I am pleased to know you as my former student. Walter J. Freeman III, Department of Molecular and Cell Biology, University of California, Berkeley Thank you for your most enjoyable MS. A lovely piece: scholarly and entertaining, witty-ironic and educational, comic and playful, fine-tuned psychologically and easily flowing-streaming Roland Fischer, Department of Philosophy, University of the Balearic Islands As a microbiologist, I must say that it is impeccable. Mario Vaneechoutte, Department of Clinical Chemistry, University Hospital, Ghent The kind of work you are doing, which has merit in itself, is not appreciated by any run-of-the-mill academic unit in Universities that I know. Roger Hahn, Department of History, University of California, Berkeley
