This book examines whether continuous-time models in frictionless financial economies can be well approximated by discrete-time models. It specifically looks to answer the question: in what sense and to what extent does the famous Black-Scholes-Merton (BSM) continuous-time model of financial markets idealize more realistic discrete-time models of those markets? While it is well known that the BSM model is an idealization of discrete-time economies where the stock price process is driven by a binomial random walk, it is less known that the BSM model idealizes discrete-time economies whose stock price process is driven by more general random walks. Starting with the basic foundations of discrete-time and continuous-time models, David M. Kreps takes the reader through to this important insight with the goal of lowering the entry barrier for many mainstream financial economists, thus bringing less-technical readers to a better understanding of the connections between BSM and nearby discret
Have you ever taken your children on a maths walk?Are your pupils shape detectives?How to be Inventive When Teaching Primary Mathematics is a pocket guide to inspire primary teachers to become confide
With analysis on nearly twenty projects from well-known architects, this book provides an unmissable opportunity to learn from the experts. Famous architects walk through the design process, with full
This introduction to some of the principal models in the theory of disordered systems leads the reader through the basics, to the very edge of contemporary research, with the minimum of technical fuss. Topics covered include random walk, percolation, self-avoiding walk, interacting particle systems, uniform spanning tree, random graphs, as well as the Ising, Potts, and random-cluster models for ferromagnetism, and the Lorentz model for motion in a random medium. This new edition features accounts of major recent progress, including the exact value of the connective constant of the hexagonal lattice, and the critical point of the random-cluster model on the square lattice. The choice of topics is strongly motivated by modern applications, and focuses on areas that merit further research. Accessible to a wide audience of mathematicians and physicists, this book can be used as a graduate course text. Each chapter ends with a range of exercises.
Strategic Interventions for People in Crisis, Trauma, and Disaster enables therapists to walk into difficult situations with a thorough understanding of interactional dynamics and a plan of action.Wit
The adventure begins Narnia ... where Talking Beasts walk ... where a witch waits ... where a new world is about to be born. On a daring quest to save a life, two friends are hurled into another wor
How do middle-class Americans become aware of distant social problems and act against them? US colleges, congregations, and seminaries increasingly promote immersion travel as a way to bridge global distance, produce empathy, and increase global awareness. But does it? Drawing from a mixed methods study of a progressive, religious immersion travel organization at the US-Mexico border, Empathy Beyond US Borders provides a broad sociological context for the rise of immersion travel as a form of transnational civic engagement. Gary J. Adler, Jr follows alongside immersion travelers as they meet undocumented immigrants, walk desert trails, and witness deportations. His close observations combine with interviews and surveys to evaluate the potential of this civic action, while developing theory about culture, empathy, and progressive religion in transnational civic life. This timely book describes the moralization of travel, the organizational challenges of transnational engagement, and the
100 women living in Brussels were asked to write about their city. A gallerist, a doctor, a real estate agent, a metro driver, a professor, an actress; women from every walk of life...For all their di
Could you disconnect from your phone for six weeks? An eccentric entrepreneur has challenged Esther's year group to do just that, and the winners will walk away with GBP1,000. For Esther, whose dad, s
In Punta Arenas, Chile, in November 1998, Karl Bushby set out on one of the most remarkable journeys of modern times. His plan is as simple as it is extraordinary—to walk up the Americas, acros
From National Book Award finalist and New York Times bestselling author Jason Reynolds comes a novel told in ten blocks, showing all they different directions a walk home can take.A National Book Awar
They save our lives every day, and we’ve never heard their stories. The life-or-death intensity of working on the front lines, from America’s greatest unsung heroes. “The compassion, the work ethic, and the selflessness of nurses … are given the respect they deserve and captured beautifully here.”–Sanjay Gupta, MD, neurosurgeon and chief medical correspondent, CNN"James Patterson's account of the twilight world between life and death that nurses inhabit is one of the most moving things I have ever read.”–Sebastian Junger, author of Freedom and The Perfect Storm Around the clock, across the country, these highly skilled and compassionate men and women sacrifice and struggle for us and our families. You have never heard their true stories. Not like this. From big-city and small-town hospitals. From behind the scenes. From the heart. This book will make you laugh, make you cry, make you understand. When we’re at our worst, E.R. nurses are at their best.
Audacious and highly innovative collection that cunningly engages with the assumptions and boundaries around translation, identity, and gender.In Sawako Nakayasu’s first poetry collection in seven yea
New England's Roadside Ecology guides you through 30 spectacular natural sites, all within an easy walk from the road. The sites include the forests, wetlands, alpines, dunes, and geologic ecosystems
Walk in the footsteps of emperors and sultans, marvel at some of the greatest monuments on earth, and experience the wonders of East and West with Rick Steves! Inside Rick Steves Istanbul you'll find:
This comprehensive visual guide to houseplant care is packed with illustrations and hand drawings, color photography, accessible infographics, and advice for first-time and experienced plant parents alike.Build confidence in tending indoor plants through this guide to basic plant care, all while learning about the history of houseplants, how they communicate, and sustainable ways to troubleshoot houseplant parenting issues. Whether you're afraid to bring home a plant or have a healthy row of potted green pals on your windowsill, this book will walk you through the trials, errors, and joys of plant care.Perfect for those who are new to gardening or who want to learn more about how plants enrich our lives, this how-to guide from Puneet Sabharwal, cofounder of popular plant subscription company Horti, is a verdant treasure trove of information on how to raise your very own houseplants.
In a fantastical version of New Orleans where music is magic, a battle for the city's soul brews between two young mages, a vengeful wraith, and one powerful song in this vibrant and imaginative debut.Nola is a city full of wonders. A place of sky trolleys and dead cabs, where haints dance the night away and Wise Women keep the order, and where songs walk, talk and keep the spirit of the city alive. To those from Far Away, Nola might seem strange. To failed magician, Perilous Graves, it's simply home. Then the rhythm stutters.Nine songs of power have escaped from the magical piano that maintains the city's beat and without them, Nola will fail. Unexpectedly, Perry and his sister, Brendy, are tasked with saving the city. But a storm is brewing and the Haint of All Haints is awake. Even if they capture the songs, Nola's time might be coming to an end.
Explore and embrace all parts of yourself with the help of the mental health self-care practice of shadow work so you can dig deeper into discovering who you are and pursue a happier, more fulfilled life.Shadow work―the process of exploring your pain, trauma, and imperfections―is a powerful tool to help you embrace and accept yourself, even the parts that are difficult. The Shadow Work Workbook gives you everything you need to get started with a clear explanation of what shadow work is, how it works, and how it helps you, as well as guided meditations and accompanying journal prompts and affirmations to walk you through your own shadow work. Written by licensed therapist Jor-El Caraballo, this book is the perfect companion for your self-exploration journey.