A Modern Theory of Random Variation
A Modern Theory of Random Variation

Author: Patrick Muldowney

Publisher: John Wiley & Sons

Published: 2013-04-26

Total Pages: 493

ISBN-13: 1118345940

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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.

Teach Yourself VISUALLY iPhone 6s
Teach Yourself VISUALLY iPhone 6s

Author: Guy Hart-Davis

Publisher: John Wiley & Sons

Published: 2015-10-05

Total Pages: 323

ISBN-13: 1119173736

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A visual guide to the iPhone—now fully updated If you are a visual learner, Teach Yourself VISUALLY iPhone, 3rd Edition is the book for you with 500 full-color screenshots that clearly illustrate all the features your iPhone has to offer. Get the most from your iPhone, whether you're a beginner or an iPhone enthusiast who's learning the latest features, this easily accessible guide provides visually rich tutorials and step-by-step instructions that will help you unlock all your device has to offer. Learn the latest features of iOS Master the basic functions of your iPhone and customize your settings Ensure you're getting optimal performance from your iPhone Find the best apps and services to fit your personal and business needs

Gauge Integral Structures for Stochastic Calculus and Quantum Electrodynamics
Gauge Integral Structures for Stochastic Calculus and Quantum Electrodynamics

Author: Patrick Muldowney

Publisher: John Wiley & Sons

Published: 2021-04-20

Total Pages: 56

ISBN-13: 1119595495

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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.

Modern Theory of Summation of Random Variables
Modern Theory of Summation of Random Variables

Author: Vladimir M. Zolotarev

Publisher: Walter de Gruyter

Published: 2011-09-06

Total Pages: 429

ISBN-13: 3110936534

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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.

Foundations of Modern Probability
Foundations of Modern Probability

Author: Olav Kallenberg

Publisher: Springer Science & Business Media

Published: 2002-01-08

Total Pages: 670

ISBN-13: 9780387953137

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The first edition of this single volume on the theory of probability has become a highly-praised standard reference for many areas of probability theory. Chapters from the first edition have been revised and corrected, and this edition contains four new chapters. New material covered includes multivariate and ratio ergodic theorems, shift coupling, Palm distributions, Harris recurrence, invariant measures, and strong and weak ergodicity.

A Modern Theory of Evolution
A Modern Theory of Evolution

Author: Carl J. Becker

Publisher: iUniverse

Published: 2010-04-09

Total Pages: 358

ISBN-13: 1450224504

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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

The 2020 International Conference on Machine Learning and Big Data Analytics for IoT Security and Privacy
The 2020 International Conference on Machine Learning and Big Data Analytics for IoT Security and Privacy

Author: John MacIntyre

Publisher: Springer Nature

Published: 2020-11-03

Total Pages: 907

ISBN-13: 3030627438

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This book presents the proceedings of The 2020 International Conference on Machine Learning and Big Data Analytics for IoT Security and Privacy (SPIoT-2020), held in Shanghai, China, on November 6, 2020. Due to the COVID-19 outbreak problem, SPIoT-2020 conference was held online by Tencent Meeting. It provides comprehensive coverage of the latest advances and trends in information technology, science and engineering, addressing a number of broad themes, including novel machine learning and big data analytics methods for IoT security, data mining and statistical modelling for the secure IoT and machine learning-based security detecting protocols, which inspire the development of IoT security and privacy technologies. The contributions cover a wide range of topics: analytics and machine learning applications to IoT security; data-based metrics and risk assessment approaches for IoT; data confidentiality and privacy in IoT; and authentication and access control for data usage in IoT. Outlining promising future research directions, the book is a valuable resource for students, researchers and professionals and provides a useful reference guide for newcomers to the IoT security and privacy field.

Generalized Ordinary Differential Equations in Abstract Spaces and Applications
Generalized Ordinary Differential Equations in Abstract Spaces and Applications

Author: Everaldo M. Bonotto

Publisher: John Wiley & Sons

Published: 2021-09-15

Total Pages: 514

ISBN-13: 1119654939

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GENERALIZED ORDINARY DIFFERENTIAL EQUATIONS IN ABSTRACT SPACES AND APPLICATIONS Explore a unified view of differential equations through the use of the generalized ODE from leading academics in mathematics Generalized Ordinary Differential Equations in Abstract Spaces and Applications delivers a comprehensive treatment of new results of the theory of Generalized ODEs in abstract spaces. The book covers applications to other types of differential equations, including Measure Functional Differential Equations (measure FDEs). It presents a uniform collection of qualitative results of Generalized ODEs and offers readers an introduction to several theories, including ordinary differential equations, impulsive differential equations, functional differential equations, dynamical equations on time scales, and more. Throughout the book, the focus is on qualitative theory and on corresponding results for other types of differential equations, as well as the connection between Generalized Ordinary Differential Equations and impulsive differential equations, functional differential equations, measure differential equations and dynamic equations on time scales. The book’s descriptions will be of use in many mathematical contexts, as well as in the social and natural sciences. Readers will also benefit from the inclusion of: A thorough introduction to regulated functions, including their basic properties, equiregulated sets, uniform convergence, and relatively compact sets An exploration of the Kurzweil integral, including its definitions and basic properties A discussion of measure functional differential equations, including impulsive measure FDEs The interrelationship between generalized ODEs and measure FDEs A treatment of the basic properties of generalized ODEs, including the existence and uniqueness of solutions, and prolongation and maximal solutions Perfect for researchers and graduate students in Differential Equations and Dynamical Systems, Generalized Ordinary Differential Equations in Abstract Spaces and App­lications will also earn a place in the libraries of advanced undergraduate students taking courses in the subject and hoping to move onto graduate studies.

Modern Theory of Crystal Growth I
Modern Theory of Crystal Growth I

Author: A.A. Chernov

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 151

ISBN-13: 3642689388

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Our understanding of the basic processes of crystal growth has meanwhile reached the level of maturity at least in the phenomenological concepts. This concerns for example the growth of pure crystals from a low-density nutrient phase like vapor or dilute solution with various aspects of pattern formation like spiral and layer growth, facetting and roughening, and the stability of smooth macroscopic shapes, as well as basic mechanisms of impurity incorporation in melt growth of (in this sense) simple materials like silicon or organic model substances. In parallel the experimental techniques to quantitatively ana lyze the various growth mechanisms have also reached a high level of reproducibility and precision, giving reliable tests on theoretical predictions. These basic concepts and appli cations to experiments have been recently reviewed by one of us (A. A. C. ) in "Modern Crystallography III. Crystal Growth" (Springer Series on Solid State Sciences, 1983). It has to be emphasized, however, that for practical applications we are still unable to quantitatively calculate many important parameters like kinetic coefficients from first principles. For mixed systems such as complex oxides, solutions and systems with chemi cal reactions, our degree of understanding is even lower. As a few examples for present achievements we note that experiments with vapour and molecular beam condensation of alkali halides confirmed the qualitatively predicted mechanisms of screw dislocations and two-dimensional nucleation for layer-growth.

Evolutionary Biology – Concepts, Biodiversity, Macroevolution and Genome Evolution
Evolutionary Biology – Concepts, Biodiversity, Macroevolution and Genome Evolution

Author: Pierre Pontarotti

Publisher: Springer Science & Business Media

Published: 2011-07-20

Total Pages: 350

ISBN-13: 3642207634

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The annual Evolutionary Biology Meetings in Marseilles serve to gather leading scientists, promote the exchange of ideas and encourage the formation of international collaborations. This book contains the most essential contributions presented at the 14th Evolutionary Biology Meeting, which took place in September 2010. It comprises 19 chapters organized according to the following categories: · Evolutionary Biology Concepts · Biodiversity and Evolution · Macroevolution · Genome Evolution Offering an up-to-date overview of recent results in the field of evolutionary biology, this book is an invaluable source of information for scientists, teachers and advanced students.