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Probability: A Graduate Course
This textbook on the theory of probability starts from the premise that rather than being a purely mathematical discipline, probability theory is an intimate companion of statistics. The book starts with the basic tools, and goes on to cover a number of subjects in detail, including chapters on inequalities, characteristic functions and convergence. This is followed by explanations of the three main subjects in probability: the law of large numbers, the central limit theorem, and the law of the iterated logarithm. After a discussion of generalizations and extensions, the book concludes with an extensive chapter on martingales.
An Intermediate Course in Probability
This is the only book that gives a rigorous and comprehensive treatment with lots of examples, exercises, remarks on this particular level between the standard first undergraduate course and the first graduate course based on measure theory. There is no competitor to this book. The book can be used in classrooms as well as for self-study.
Stopped Random Walks
My first encounter with renewal theory and its extensions was in 1967/68 when I took a course in probability theory and stochastic processes, where the then recent book Stochastic Processes by Professor N.D. Prabhu was one of the requirements. Later, my teacher, Professor Carl-Gustav Esseen, gave me some problems in this area for a possible thesis, the result of which was Gut (1974a). Over the years I have, on and off, continued research in this field. During this time it has become clear that many limit theorems can be obtained with the aid of limit theorems for random walks indexed by families of positive, integer valued random variables, typically by families of stopping times. During the...
The Plant-Based Diet Revolution
'This book is fantastic. We love the recipes and secretly wish that we'd written them ourselves!' Stephen and David Flynn, The Happy Pear 'Get ready, because this book is going to change your life in so many positive ways!' Kathy Freston, New York Times best-selling author of Clean Protein 'Dr Alan Desmond's The Plant-Based Diet Revolution will introduce a new era of delicious food that promotes a healthy mind, body and gut. Long live - and live long - in the Revolution!' Dr Will Bulsiewicz, New York Times bestselling author of Fiber Fueled 'With clear scientific explanation, colourful illustrations, and dozens of easy, tasty recipes, Dr Desmond has created an instant classic that gently gui...
Probability and Stochastics
This text is an introduction to the modern theory and applications of probability and stochastics. The style and coverage is geared towards the theory of stochastic processes, but with some attention to the applications. In many instances the gist of the problem is introduced in practical, everyday language and then is made precise in mathematical form. The first four chapters are on probability theory: measure and integration, probability spaces, conditional expectations, and the classical limit theorems. There follows chapters on martingales, Poisson random measures, Levy Processes, Brownian motion, and Markov Processes. Special attention is paid to Poisson random measures and their roles ...
Gut Feelings
Why the microbiome--our rich inner ecosystem of microorganisms--may hold the keys to human health. We are at the dawn of a new scientific revolution. Our understanding of how to treat and prevent diseases has been transformed by knowledge of the microbiome--the rich ecosystem of microorganisms that is in and on every human. These microbial hitchhikers may hold the keys to human health. In Gut Feelings, Alessio Fasano and Susie Flaherty show why we must go beyond the older, myopic view of microorganisms as our enemies to a broader understanding of the microbiome as a parallel civilization that we need to understand, respect, and engage with for the benefit of our own health.
Immunophysiology of the Gut
This volume represents Dr. Walker's efforts to integrate intestinal physiology and the mucosal immune system by providing the first comprehensive and systematic survey of information on the immunophysiology of the gut.
The Microbiota in Gastrointestinal Pathophysiology
The Microbiota in Gastrointestinal Pathophysiology: Implications for Human Health, Prebiotics, Probiotics and Dysbiosis is a one-stop reference on the state-of-the-art research on gut microbial ecology in relation to human disease. This important resource starts with an overview of the normal microbiota of the gastrointestinal tract, including the esophagus, stomach, Ileum, and colon. The book then identifies what a healthy vs. unhealthy microbial community looks like, including methods of identification. Also included is insight into which features and contributions the microbiota make that are essential and useful to host physiology, as is information on how to promote appropriate mutualis...
10% Human: How Your Body’s Microbes Hold the Key to Health and Happiness
Obesity, autism, mental health problems, IBS, allergies, auto-immunity, cancer. Does the answer to the modern epidemic of ‘Western’ diseases lie in our gut?
Holistic Management, Third Edition
"Holistic Management is a systems-thinking approach developed by biologist Allan Savory to restore the world's grassland soils and minimize the damaging effects of climate change and desertification on humans and the natural world. This long-awaited third edition of this title is comprehensively updated with reorganized, streamlined chapters and new color photos featuring before-and-after examples of land restored through livestock manipulation designed to mimic wildlife migrations of the past. Written for new generations of ranchers, farmers, pastoralists, social entrepreneurs, government agencies, and NGOs working to address global environmental degradation, it offers new hope for a sustainable future."--Page [4] of cover.
