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Almost Global Solutions of Capillary-Gravity Water Waves Equations on the Circle (Lecture Notes Of The Unione Matematica Italiana Ser. #24)
by Massimiliano Berti Jean-Marc DelortThe goal of this monograph is to prove that any solution of the Cauchy problem for the capillary-gravity water waves equations, in one space dimension, with periodic, even in space, small and smooth enough initial data, is almost globally defined in time on Sobolev spaces, provided the gravity-capillarity parameters are taken outside an exceptional subset of zero measure. In contrast to the many results known for these equations on the real line, with decaying Cauchy data, one cannot make use of dispersive properties of the linear flow. Instead, a normal forms-based procedure is used, eliminating those contributions to the Sobolev energy that are of lower degree of homogeneity in the solution. Since the water waves equations form a quasi-linear system, the usual normal forms approaches would face the well-known problem of losses of derivatives in the unbounded transformations. To overcome this, after a paralinearization of the capillary-gravity water waves equations, we perform several paradifferential reductions to obtain a diagonal system with constant coefficient symbols, up to smoothing remainders. Then we start with a normal form procedure where the small divisors are compensated by the previous paradifferential regularization. The reversible structure of the water waves equations, and the fact that we seek solutions even in space, guarantees a key cancellation which prevents the growth of the Sobolev norms of the solutions.
Almost Periodic and Almost Automorphic Functions in Abstract Spaces
by Gaston M. N'GuérékataThis book presents the foundation of the theory of almost automorphic functions in abstract spaces and the theory of almost periodic functions in locally and non-locally convex spaces and their applications in differential equations. Since the publication of Almost automorphic and almost periodic functions in abstract spaces (Kluwer Academic/Plenum, 2001), there has been a surge of interest in the theory of almost automorphic functions and applications to evolution equations. Several generalizations have since been introduced in the literature, including the study of almost automorphic sequences, and the interplay between almost periodicity and almost automorphic has been exposed for the first time in light of operator theory, complex variable functions and harmonic analysis methods. As such, the time has come for a second edition to this work, which was one of the most cited books of the year 2001.This new edition clarifies and improves upon earlier materials, includes many relevant contributions and references in new and generalized concepts and methods, and answers the longtime open problem, "What is the number of almost automorphic functions that are not almost periodic in the sense of Bohr?" Open problems in non-locally convex valued almost periodic and almost automorphic functions are also indicated.As in the first edition, materials are presented in a simplified and rigorous way. Each chapter is concluded with bibliographical notes showing the original sources of the results and further reading.
Almost Periodic Functions (Dover Books on Mathematics)
by Harvey Cohn Harald BohrMathematician Harald Bohr, motivated by questions about which functions could be represented by a Dirichlet series, devised the theory of almost periodic functions during the 1920s. His groundbreaking work influenced many later mathematicians, who extended the theory in new and diverse directions. In this volume, Bohr focuses on an essential aspect of the theory — the functions of a real variable — in full detail and with complete proofs.The treatment, which is based on Bohr's lectures, starts with an introduction that leads to discussions of purely periodic functions and their Fourier series. The heart of the book, his exploration of the theory of almost periodic functions, is supplemented by two appendixes that cover generalizations of almost periodic functions and almost periodic functions of a complete variable.
Almost Periodicity, Chaos, and Asymptotic Equivalence (Nonlinear Systems and Complexity #27)
by Marat AkhmetThe central subject of this book is Almost Periodic Oscillations, the most common oscillations in applications and the most intricate for mathematical analysis. Prof. Akhmet's lucid and rigorous examination proves these oscillations are a "regular" component of chaotic attractors. The book focuses on almost periodic functions, first of all, as Stable (asymptotically) solutions of differential equations of different types, presumably discontinuous; and, secondly, as non-isolated oscillations in chaotic sets. Finally, the author proves the existence of Almost Periodic Oscillations (asymptotic and bi-asymptotic) by asymptotic equivalence between systems. The book brings readers' attention to contemporary methods for considering oscillations as well as to methods with strong potential for study of chaos in the future. Providing three powerful instruments for mathematical research of oscillations where dynamics are observable and applied, the book is ideal for engineers as well as specialists in electronics, computer sciences, robotics, neural networks, artificial networks, and biology.Distinctively combines results and methods of the theory of differential equations with thorough investigation of chaotic dynamics with almost periodic ingredients;Provides all necessary mathematical basics in their most developed form, negating the need for any additional sources for readers to start work in the area;Presents a unique method of investigation of discontinuous almost periodic solutions in its unified form, employed to differential equations with different types of discontinuity;Develops the equivalence method to its ultimate effective state such that most important theoretical problems and practical applications can be analyzed by the method.
Alpha Teach Yourself Algebra I in 24 Hours (Alpha Teach Yourself)
by Jane CookThe first step in complex math is now the easiest. Alpha Teach Yourself Algebra I in 24 Hours provides readers with a structured, self-paced, straight-forward tutorial to algebra. It's the perfect textbook companion for students struggling with algebra, a solid primer for those looking to get a head start on an upcoming class, and a welcome refresher for parents tasked with helping out with homework, all in 24 one-hour lessons. Algebra is the second-most popular mathematic course for college- bound high school students Nearly all college-bound high school students now take algebra
Altern als Zukunft – eine Studie der VolkswagenStiftung
by Frieder R. Lang Stephan Lessenich Klaus RothermundDeutschland altert – aber was heißt das? Ist das schlimm? Und kann eine Gesellschaft überhaupt als Ganzes altern? In einer Zusammenführung von psychologischen, gerontologischen und soziologischen Erkenntnissen eröffnet dieses Open Access Buch einen bislang einzigartigen, vielseitigen und realistischen Blick auf das Phänomen des Alters und den Prozess des Alterns. Schwerpunkte des Projekts Altern als Zukunft waren Forschungen zu Altersbildern, zur Vorsorge für das Alter sowie zum Zeithandeln im Alter. Über ein Jahrzehnt lang führten die Autoren hierzu quantitative und qualitative Untersuchungen in drei Kontinenten durch. Die Ergebnisse zeigen, dass vereinseitigende Sichtweisen auf das Alter – seien es negative Stereotypen oder positive Überhöhungen – der Komplexität von Alternserfahrungen nicht gerecht werden. Das Buch richtet sich an alle, die sich für das Altern interessieren: wissenschaftlich, gesellschaftspolitisch, praktisch und persönlich. Ob alt oder jung, das Buch regt dazu an, eigene Sichtweisen zu hinterfragen. Eines wird deutlich: das ‚eine‘ Alter gibt es nicht – und Altern ist unsere Zukunft. Altern als Zukunft plädiert für die individuelle wie gesellschaftliche Akzeptanz der sozialen Tatsache des Alterns – und für das Recht, im höheren Alter genauso selbstbestimmt leben zu können wie in anderen Altersphasen auch.
Altern in der Landwirtschaft als gesellschaftliche Herausforderung: Eine Analyse von Erwerbsbiographien selbstständiger Landwirte (Dortmunder Beiträge zur Sozialforschung)
by Kim Marei KusserowSeit Jahrzehnten befindet sich die Landwirtschaft in einem Strukturwandel, der mit zahlreichen Entwicklungen einhergeht. Neben einer veränderten Arbeitsstruktur und -organisation nimmt der Strukturwandel auch Einfluss auf die (Erwerbs-)Biographien der Menschen, die in der Landwirtschaft arbeiten. Auf Grundlage qualitativer Interviews mit Betriebsleiter*innen aus Niedersachsen sowie Vertreter*innen landwirtschaftlicher Organisationen befasst sich das vorliegende Buch mit den aktuellen und zukünftigen Rahmenbedingungen für die Lebensgestaltung im höheren Alter von selbstständigen Landwirt*innen und analysiert diese vor dem Hintergrund biographietheoretischer Konzepte.
Alternating Direction Method of Multipliers for Machine Learning
by Zhouchen Lin Huan Li Cong FangMachine learning heavily relies on optimization algorithms to solve its learning models. Constrained problems constitute a major type of optimization problem, and the alternating direction method of multipliers (ADMM) is a commonly used algorithm to solve constrained problems, especially linearly constrained ones. Written by experts in machine learning and optimization, this is the first book providing a state-of-the-art review on ADMM under various scenarios, including deterministic and convex optimization, nonconvex optimization, stochastic optimization, and distributed optimization. Offering a rich blend of ideas, theories and proofs, the book is up-to-date and self-contained. It is an excellent reference book for users who are seeking a relatively universal algorithm for constrained problems. Graduate students or researchers can read it to grasp the frontiers of ADMM in machine learning in a short period of time.
Alternative Theoretical Frameworks for Mathematics Education Research: Theory Meets Data
by Elizabeth De Freitas Margaret WalshawThis book explicates some of the fundamental philosophical tenets underpinning key theoretical frameworks, and demonstrates how these tenets inform particular kinds of research practice in mathematics education research. We believe that a deep understanding of significant theories from the humanities and social sciences is crucial for doing high-quality research in education. For that reason, this book focuses on six key theoretical sources, unpacking their relevance and application to specific research examples. We situate these key theorists within a larger framework pertaining to the history of thought more generally, and discuss how competing theories of teaching and learning differ in terms of their philosophical assumptions. In so doing, we offer context and motivation for particular research methods, with the agenda of helping researchers reflect on why particular approaches and not others might work for them.
Alterung und Pflege als kommunale Aufgabe: Deutsche und japanische Ansätze und Erfahrungen (Dortmunder Beiträge zur Sozialforschung)
by Franz Waldenberger Gerd Naegele Hiroko Kudo Tomoo MatsudaDie Beiträge in diesem Open-Access-Sammelband beschreiben und analysieren aus multidisziplinärer Sicht die Herausforderungen und Bewältigungsstrategien von Alterung und Pflege in japanischen und deutschen Gemeinden. Thematisiert werden rechtliche Rahmenbedingungen, zivilgesellschaftliches Engagement, Pflegekräftemangel, Technologiekonzepte für die Pflege und schließlich auch der Einfluss der Covid-19 Pandemie auf die Situation älterer und pflegebedürftiger Bürgerinnen und Bürger. Die Gegenüberstellung der Ansätze und Erfahrungen beider Länder erweitert das Spektrum an Gestaltungsmöglichkeiten und kann Impulse für eine Neuausrichtung bestehender Lösungsstrategien geben.
Alteryx Designer: Simplify And Automate Your Analytics
by Joshua BurkhowAnalytics projects are frequently long, drawn-out affairs, requiring multiple teams and skills to clean, join, and eventually turn data into analysis for timely decision-making. Alteryx Designer changes all of that. With this low-code, self-service, drag-and-drop workflow platform, new and experienced data and business analysts can deliver results in hours instead of weeks.This practical book shows you how to master all areas of Alteryx Designer quickly. Author and Alteryx ACE Joshua Burkhow starts with the basics of building a workflow, then introduces more than 200 tools for working with intermediate and advanced analytics functionality. With Alteryx Designer's all-in-one toolkit, you'll migrate from legacy analytics software or Excel with ease.Ready to work with data quickly and efficiently? This guide gets you started.Learn the fundamentals of cleaning, prepping, and analyzing data with Alteryx DesignerInstall, navigate, and quickly become competent with the Alteryx Designer layout and functionalityConstruct accurate, performant, reliable, and well-documented workflows that automate business processesLearn intermediate techniques using spatial analytics, reporting, and in-database toolsDive into advanced Alteryx capabilities, including predictive and machine learning toolsGet introduced to the entire Alteryx Analytic Process Automation (APA) Platform
Amanda Bean's Amazing Dream: A Mathematical Story
by Cindy Neuschwander Liza WoodruffNIMAC-sourced textbook
Amazin' Again: How the 2015 New York Mets Brought the Magic Back to Queens
by Greg W. Prince Howie RoseThey were coming off a seemingly endless string of losing records. They were considered years away from legitimate contention. They were derided and disregarded as a matter of course. But in 2015 the New York Mets changed their course and changed their story. The result was the best kind of amazin’. Against all expectations, these Mets surged from the starting gate, hung tough when adversity threatened to overwhelm their budding chances, and fortified themselves for a stretch drive few could have foreseen. In short order, they proceeded to capture a division title, raise a pennant, and lay claim to the heart of their city.With an unforgettable cast of characters including Matt Harvey, David Wright, Jacob deGrom, Yoenis Cespedes, and Daniel Murphy, the tale of the 2015 National League champion New York Mets is told for the ages in Amazin’ Again. Author Greg Prince-cocreator of Faith and Fear in Flushing, the blog that has distilled the heart and soul of Mets fandom for more than a decade-traces the trajectory of this championship season, from its roots in a long-ago amateur draft to its climax within the cauldron of Citi Field’s first World Series. In between, Prince re-creates the emotions of a year that culminated in the Mets making New York their kind of town once again.Skyhorse Publishing, as well as our Sports Publishing imprint, are proud to publish a broad range of books for readers interested in sports-books about baseball, pro football, college football, pro and college basketball, hockey, or soccer, we have a book about your sport or your team.Whether you are a New York Yankees fan or hail from Red Sox nation; whether you are a die-hard Green Bay Packers or Dallas Cowboys fan; whether you root for the Kentucky Wildcats, Louisville Cardinals, UCLA Bruins, or Kansas Jayhawks; whether you route for the Boston Bruins, Toronto Maple Leafs, Montreal Canadiens, or Los Angeles Kings; we have a book for you. While not every title we publish becomes a New York Times bestseller or a national bestseller, we are committed to publishing books on subjects that are sometimes overlooked by other publishers and to authors whose work might not otherwise find a home.
Amazing and Aesthetic Aspects of Analysis (Undergraduate Texts In Mathematics Ser.)
by Paul LoyaLively prose and imaginative exercises draw the reader into this unique introductory real analysis textbook. Motivating the fundamental ideas and theorems that underpin real analysis with historical remarks and well-chosen quotes, the author shares his enthusiasm for the subject throughout. A student reading this book is invited not only to acquire proficiency in the fundamentals of analysis, but to develop an appreciation for abstraction and the language of its expression. In studying this book, students will encounter:the interconnections between set theory and mathematical statements and proofs;the fundamental axioms of the natural, integer, and real numbers;rigorous ε-N and ε-δ definitions;convergence and properties of an infinite series, product, or continued fraction;series, product, and continued fraction formulæ for the various elementary functions and constants.Instructors will appreciate this engaging perspective, showcasing the beauty of these fundamental results.
The Amazing Journey of Reason: from DNA to Artificial Intelligence (SpringerBriefs in Computer Science)
by Mario AlemiThis Open Access book explores questions such as why and how did the first biological cells appear? And then complex organisms, brains, societies and –now– connected human societies? Physicists have good models for describing the evolution of the universe since the Big Bang, but can we apply the same concepts to the evolution of aggregated matter –living matter included? The Amazing Journey analyzes the latest results in chemistry, biology, neuroscience, anthropology and sociology under the light of the evolution of intelligence, seen as the ability of processing information. The main strength of this book is using just two concepts used in physics –information and energy– to explain: The emergence and evolution of life: procaryotes, eukaryotes and complex organismsThe emergence and evolution of the brainThe emergence and evolution of societies (human and not)Possible evolution of our "internet society" and the role that Artificial Intelligence is playing
Amazing Math Projects
by Samuel Carbaugh Lazlo C. BardosMake a geodesic dome big enough to sit in. Solve one of the world's hardest two-piece puzzles. Pass a straight line through a curved slot.From prime numbers to paraboloids, Amazing Math Projects You Can Build Yourself introduces readers ages 9 and up to the beauty and wonder of math through hands-on activities. Kids will cut apart shapes to discover area formulas, build beautiful geometric models to explore their properties, and amaze friends with the mysterious Möbius strip.Learning through examples of how we encounter math in our daily lives, children will marvel at the mathematical patterns in snowflakes and discover the graceful curves in the Golden Gate Bridge. Readers will never look at soap bubbles the same way again!Amazing Math Projects You Can Build Yourself includes projects about number patterns, lines, curves, and shapes. Each activity includes intriguing facts, vocabulary builders, and connections to other topics. A companion website, includes video instructions for many projects in the book and provides additional activities.
Amazing Mathematicians - A Short eBook
by Charles MargerisonMathematics is the science of numbers. However, have you ever stopped to ask - who are the people behind the amazing formulas that have helped mankind find solutions to everyday probabilities? The Amazing People Club invites you to explore the exciting world of five amazing mathematicians. Their inspirational stories were not always about number crunching as we know it, as they strived in the search for 'truth' via theory. Gain an insight into how George Boole was inspired to combine logic with mathematics to reduce risks, developing calculations that although complex, enabled people to make better judgements. Immerse yourself in the life of Ada Lovelace, the "Enchantress of Numbers". Her intellect and skill in mathematics led to her developing a plan for calculating sequence, which is now recognized as the first computer program. Be inspired by the genius minds of Rene Descartes, Carl Gauss and Alan Turing, whose skills within mathematics, science and technology have formed the basis for how we still assess probabilities and find solutions to this very day. Each story comes to life through BioViews®. These are short biographical narratives, similar to interviews. They provide an easy way of learning about amazing people who made major contributions and changed our world.
Amazing Tales from the Boston Red Sox Dugout: A Collection of the Greatest Red Sox Stories Ever Told (Tales From The Team Ser.)
by Jim Prime Bill NowlinCalling all BoSox fans! In this one-of-a-kind compendium of anecdotes from players, managers, and beat writers, Jim Prime and Bill Nowlin capture all the magic and passion of Boston Red Sox baseball. Amazing Tales from the Boston Red Sox Dugout is a colorful journey through the history of the franchise. Included are the best memories and stories in the players’ and managers’ own words, as found in Prime and Nowlin’s Tales from the Boston Red Sox Dugout and More Tales from the Boston Red Sox Dugout.Within these pages, fans will chafe at the rivalries, cheer the wins, and challenge the losses both on the road and at home. From the earliest days of a promising young pitcher named Babe Ruth, through the glory years of Foxx, Williams, and Yastrzemiski, to the championship era of superstars such as Martinez and Ortiz, the Red Sox epitomize all that is grand about the grand old game. Featured players and managers include Wade Boggs, Joe Cronin, Bobby Doerr, Carlton Fisk, Dustin Pedrioa, Jim Rice, Jason Varitek, and many other Red Sox legends. This massive collection captures the story and glory of Red Sox baseball both on the field and off. Without a doubt, this tantalizing offering from Prime and Nowlin will provide hours of entertainment for Red Sox and baseball fans alike.
Amazing Tales from the Cleveland Indians Dugout: A Collection of the Greatest Tribe Stories Ever Told (Tales from the Team)
by Russell SchneiderCalling all Tribe fans! In this one-of-a-kind compendium of anecdotes from players, managers, and beat writers, Russell Schneider captures all the magic and passion of Cleveland Indians baseball. Amazing Tales from the Cleveland Indians Dugout is a colorful journey through the history of the franchise. Included are the best memories and stories in the players’ and managers’ own words, as found in Schneider’s Tales from the Tribe Dugout and More Tales from the Tribe Dugout.Within these pages, fans will chafe at the rivalries, cheer the wins, and challenge the losses both on the road and at home. Max Alvis reveals his most embarrassing moment on the field, Mickey Cochrane orders Harry Eisenstat to intentionally bean a batter, and Doc Edwards groans in agony during the game in which he finally figures out Cal Ripken’s signals to the outfield (the Indians scored ten runs by knowing which pitch was coming and still managed to lose). Featured players include the Alomar brothers, Lou Boudreau, Orel Hershiser, Ralph Kiner, Minnie Minoso, Omar Vizquel, and many other Tribe legends. This massive collection captures the story and glory of Indians baseball both on the field and off. Without a doubt, this tantalizing offering from Indians expert Russell Schneider will provide hours of entertainment for Indians and baseball fans alike.
The Amazing World of Quantum Computing (Undergraduate Lecture Notes in Physics)
by Rajendra K. BeraThis book discusses the application of quantum mechanics to computing. It explains the fundamental concepts of quantum mechanics and then goes on to discuss various elements of mathematics required for quantum computing. Quantum cryptography, waves and Fourier analysis, measuring quantum systems, comparison to classical mechanics, quantum gates, and important algorithms in quantum computing are among the topics covered.The book offers a valuable resource for graduate and senior undergraduate students in STEM (science, technology, engineering, and mathematics) fields with an interest in designing quantum algorithms. Readers are expected to have a firm grasp of linear algebra and some familiarity with Fourier analysis.
Ambient Assisted Living: ForItAAL 2023 (Lecture Notes in Bioengineering)
by Pietro Siciliano Andrea Monteriù Alice Bettelli Mario Bochicchio Domenico De FanoThis book provides state-of-the-art information on ambient assisted living (AAL), and focuses on technologies, services, living spaces, policies, and interventions to promote health, improve quality of life, and active aging. It includes various research contributions, case studies, and projects where assistive technologies are successfully applied in the field, and it covers a wide range of topics: Tailoring products and services to the Aging society, Bio-data and Artificial sensing AAL scenarios, Cognition, and Technologies, and Designing for Inclusion and Well-Being. The volume gathers the refereed proceedings of the 12th Italian Forum on Ambient Assisted Living (ForItAAL), held in Bari, Italy on June 14-16, 2023. With its wide-ranging contributions to the topic, the book will inspire the readers and the researchers to continue their exploration of AAL technologies to support the development of products and services that make a real difference in people’s daily lives.
Ambient Intelligence– Software and Applications – 8th International Symposium on Ambient Intelligence (Advances in Intelligent Systems and Computing #615)
by Paulo Novais Vicente Julián Juan F. De Paz Gabriel Villarrubia Goreti MarreirosAmbient Intelligence (AmI) is a recent paradigm emerging from Artificial Intelligence, in which computers are used as proactive tools to assist people with their day-to-day activities, making their lives more comfortable. Another main goal of AmI originates from the human/computer interaction domain and focuses on offering ways to interact with systems in a more natural way by means of user-friendly interfaces. This field is evolving quickly, as can be witnessed by the emerging natural-language-based and gesture-based types of interaction. The inclusion of computational power and communication technologies in everyday objects is growing, and their embeddedness in our environments should be as invisible as possible. In order for AmI to be successful, human interaction with computing power and embedded systems in the surroundings should be smooth and take place without people actually noticing it. The only things people should notice in connection with AmI are more safety, comfort and wellbeing, emerging in a natural and inherent way. ISAmI is the International Symposium on Ambient Intelligence and aims to bring together researchers from the various disciplines that constitute the scientific field of Ambient Intelligence to present and discuss the latest results, new ideas, projects and lessons learned, especially in terms of software and applications.
The Ambient Metric (Annals of Mathematics Studies #178)
by Charles Fefferman C. Robin GrahamThis book develops and applies a theory of the ambient metric in conformal geometry. This is a Lorentz metric in n+2 dimensions that encodes a conformal class of metrics in n dimensions. The ambient metric has an alternate incarnation as the Poincaré metric, a metric in n+1 dimensions having the conformal manifold as its conformal infinity. In this realization, the construction has played a central role in the AdS/CFT correspondence in physics. The existence and uniqueness of the ambient metric at the formal power series level is treated in detail. This includes the derivation of the ambient obstruction tensor and an explicit analysis of the special cases of conformally flat and conformally Einstein spaces. Poincaré metrics are introduced and shown to be equivalent to the ambient formulation. Self-dual Poincaré metrics in four dimensions are considered as a special case, leading to a formal power series proof of LeBrun's collar neighborhood theorem proved originally using twistor methods. Conformal curvature tensors are introduced and their fundamental properties are established. A jet isomorphism theorem is established for conformal geometry, resulting in a representation of the space of jets of conformal structures at a point in terms of conformal curvature tensors. The book concludes with a construction and characterization of scalar conformal invariants in terms of ambient curvature, applying results in parabolic invariant theory.
Ambit Stochastics (Probability Theory and Stochastic Modelling #88)
by Fred Espen Benth Ole E. Barndorff-Nielsen Almut E. VeraartDrawing on advanced probability theory, Ambit Stochastics is used to model stochastic processes which depend on both time and space. This monograph, the first on the subject, provides a reference for this burgeoning field, complete with the applications that have driven its development. Unique to Ambit Stochastics are ambit sets, which allow the delimitation of space-time to a zone of interest, and ambit fields, which are particularly well-adapted to modelling stochastic volatility or intermittency. These attributes lend themselves notably to applications in the statistical theory of turbulence and financial econometrics. In addition to the theory and applications of Ambit Stochastics, the book also contains new theory on the simulation of ambit fields and a comprehensive stochastic integration theory for Volterra processes in a non-semimartingale context. Written by pioneers in the subject, this book will appeal to researchers and graduate students interested in empirical stochastic modelling.
Ambit Stochastics (Probability Theory and Stochastic Modelling #88)
by Fred Espen Benth Almut E. Veraart Ole E. Barndorff-NielsenDrawing on advanced probability theory, Ambit Stochastics is used to model stochastic processes which depend on both time and space. This monograph, the first on the subject, provides a reference for this burgeoning field, complete with the applications that have driven its development. Unique to Ambit Stochastics are ambit sets, which allow the delimitation of space-time to a zone of interest, and ambit fields, which are particularly well-adapted to modelling stochastic volatility or intermittency. These attributes lend themselves notably to applications in the statistical theory of turbulence and financial econometrics. In addition to the theory and applications of Ambit Stochastics, the book also contains new theory on the simulation of ambit fields and a comprehensive stochastic integration theory for Volterra processes in a non-semimartingale context. Written by pioneers in the subject, this book will appeal to researchers and graduate students interested in empirical stochastic modelling.