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The Only Rule Is It Has to Work: Our Wild Experiment Building a New Kind of Baseball Team
by Ben Lindbergh Sam MillerThe New York Times bestseller about what would happen if two statistics-minded outsiders were allowed to run a professional baseball team.It’s the ultimate in fantasy baseball: You get to pick the roster, set the lineup, and decide on strategies -- with real players, in a real ballpark, in a real playoff race. That’s what baseball analysts Ben Lindbergh and Sam Miller got to do when an independent minor-league team in California, the Sonoma Stompers, offered them the chance to run its baseball operations according to the most advanced statistics. Their story in The Only Rule is it Has to Work is unlike any other baseball tale you've ever read.We tag along as Lindbergh and Miller apply their number-crunching insights to all aspects of assembling and running a team, following one cardinal rule for judging each innovation they try: it has to work. We meet colorful figures like general manager Theo Fightmaster and boundary-breakers like the first openly gay player in professional baseball. Even José Canseco makes a cameo appearance.Will their knowledge of numbers help Lindbergh and Miller bring the Stompers a championship, or will they fall on their faces? Will the team have a competitive advantage or is the sport’s folk wisdom true after all? Will the players attract the attention of big-league scouts, or are they on a fast track to oblivion?It’s a wild ride, by turns provocative and absurd, as Lindbergh and Miller tell a story that will speak to numbers geeks and traditionalists alike. And they prove that you don’t need a bat or a glove to make a genuine contribution to the game.
onRamp to Algebra: Foundations of Algebra
by Prentice HallonRamp to Algebra is an intervention program designed exclusively to ensure that at-risk students are adequately prepared for Algebra 1. The program is ideally implemented the year prior, to build and solidify foundational skills and conceptual understanding necessary to be successful in Algebra 1. onRamp to Algebra is a complete instructional system that utilizes technology to deliver online homework support and in-class presentation screens for whole class participation. Although the program can be implemented solely with the printed Student and Teacher editions, it is optimized when coupled with in-class technology such as whiteboards/projectors; as well as when students access its online learning aids, which provide scaffolded, point-of-use homework support. As such, the program is designed to grow with your schools' Technology Plan. onRamp to Algebra is designed to be delivered in a single block class period. Each of the 112 lessons utilizes a classroom Workshop Model, designed to ensure that your formerly struggling students are constantly active, and engaged, participants throughout the entire 45-minute class. Built-in "Coach" supports (throughout the Teachers Edition), along with a Program Overview & Implementation Guide, and onsite and/or online Professional Development, ensure that all teachers are successful in the implementation of this program.
OnRamp to Algebra: Extra Practice Workbook (Grade 7-9)
by Prentice HallOnramp To Algebra 2013 Extra Practice Workbook Grade 7/9
onRamp to Algebra: Operations with Fractions (Student Edition) (Grades 7-9)
by Prentice HallonRamp to Algebra is an intervention program designed exclusively to ensure that at-risk students are adequately prepared for Algebra 1. The program is ideally implemented the year prior, to build and solidify foundational skills and conceptual understanding necessary to be successful in Algebra 1. onRamp to Algebra is a complete instructional system that utilizes technology to deliver online homework support and in-class presentation screens for whole class participation. Although the program can be implemented solely with the printed Student and Teacher editions, it is optimized when coupled with in-class technology such as whiteboards/projectors; as well as when students access its online learning aids, which provide scaffolded, point-of-use homework support. As such, the program is designed to grow with your schools' Technology Plan. onRamp to Algebra is designed to be delivered in a single block class period. Each of the 112 lessons utilizes a classroom Workshop Model, designed to ensure that your formerly struggling students are constantly active, and engaged, participants throughout the entire 45-minute class. Built-in "Coach" supports (throughout the Teachers Edition), along with a Program Overview & Implementation Guide, and onsite and/or online Professional Development, ensure that all teachers are successful in the implementation of this program.
onRamp to Algebra: Showing Relationships with Graphs (Student Edition) (Grades 7-9)
by Prentice HallonRamp to Algebra is an intervention program designed exclusively to ensure that at-risk students are adequately prepared for Algebra 1. The program is ideally implemented the year prior, to build and solidify foundational skills and conceptual understanding necessary to be successful in Algebra 1. onRamp to Algebra is a complete instructional system that utilizes technology to deliver online homework support and in-class presentation screens for whole class participation. Although the program can be implemented solely with the printed Student and Teacher editions, it is optimized when coupled with in-class technology such as whiteboards/projectors; as well as when students access its online learning aids, which provide scaffolded, point-of-use homework support. As such, the program is designed to grow with your schools' Technology Plan. onRamp to Algebra is designed to be delivered in a single block class period. Each of the 112 lessons utilizes a classroom Workshop Model, designed to ensure that your formerly struggling students are constantly active, and engaged, participants throughout the entire 45-minute class. Built-in "Coach" supports (throughout the Teachers Edition), along with a Program Overview & Implementation Guide, and onsite and/or online Professional Development, ensure that all teachers are successful in the implementation of this program.
onRamp To Algebra: Ratio and Proportionality (Student Edition) (Grades 7-9)
by Prentice HallonRamp to Algebra is an intervention program designed exclusively to ensure that at-risk students are adequately prepared for Algebra 1. The program is ideally implemented the year prior, to build and solidify foundational skills and conceptual understanding necessary to be successful in Algebra 1. onRamp to Algebra is a complete instructional system that utilizes technology to deliver online homework support and in-class presentation screens for whole class participation. Although the program can be implemented solely with the printed Student and Teacher editions, it is optimized when coupled with in-class technology such as whiteboards/projectors; as well as when students access its online learning aids, which provide scaffolded, point-of-use homework support. As such, the program is designed to grow with your schools' Technology Plan. onRamp to Algebra is designed to be delivered in a single block class period. Each of the 112 lessons utilizes a classroom Workshop Model, designed to ensure that your formerly struggling students are constantly active, and engaged, participants throughout the entire 45-minute class. Built-in "Coach" supports (throughout the Teachers Edition), along with a Program Overview & Implementation Guide, and onsite and/or online Professional Development, ensure that all teachers are successful in the implementation of this program.
onRamp to Algebra: Expressions, Equations, and Exponents
by Prentice Hall Dictionary EditorsonRamp to Algebra is an intervention program designed exclusively to ensure that at-risk students are adequately prepared for Algebra 1. The program is ideally implemented the year prior, to build and solidify foundational skills and conceptual understanding necessary to be successful in Algebra 1. onRamp to Algebra is a complete instructional system that utilizes technology to deliver online homework support and in-class presentation screens for whole class participation. Although the program can be implemented solely with the printed Student and Teacher editions, it is optimized when coupled with in-class technology such as whiteboards/projectors; as well as when students access its online learning aids, which provide scaffolded, point-of-use homework support. As such, the program is designed to grow with your schools' Technology Plan. onRamp to Algebra is designed to be delivered in a single block class period. Each of the 112 lessons utilizes a classroom Workshop Model, designed to ensure that your formerly struggling students are constantly active, and engaged, participants throughout the entire 45-minute class. Built-in "Coach" supports (throughout the Teachers Edition), along with a Program Overview & Implementation Guide, and onsite and/or online Professional Development, ensure that all teachers are successful in the implementation of this program.
Onramp To Algebra 2013 Positive And Negative Numbers (Student Edition Grades 7/9)
by Prentice HallonRamp to Algebra is an intervention program designed exclusively to ensure that at-risk students are adequately prepared for Algebra 1. The program is ideally implemented the year prior, to build and solidify foundational skills and conceptual understanding necessary to be successful in Algebra 1. onRamp to Algebra is a complete instructional system that utilizes technology to deliver online homework support and in-class presentation screens for whole class participation. Although the program can be implemented solely with the printed Student and Teacher editions, it is optimized when coupled with in-class technology such as whiteboards/projectors; as well as when students access its online learning aids, which provide scaffolded, point-of-use homework support. As such, the program is designed to grow with your schools' Technology Plan. onRamp to Algebra is designed to be delivered in a single block class period. Each of the 112 lessons utilizes a classroom Workshop Model, designed to ensure that your formerly struggling students are constantly active, and engaged, participants throughout the entire 45-minute class. Built-in "Coach" supports (throughout the Teachers Edition), along with a Program Overview & Implementation Guide, and onsite and/or online Professional Development, ensure that all teachers are successful in the implementation of this program.
Ontologies and Concepts in Mind and Machine: 25th International Conference on Conceptual Structures, ICCS 2020, Bolzano, Italy, September 18–20, 2020, Proceedings (Lecture Notes in Computer Science #12277)
by Mehwish Alam Tanya Braun Bruno YunThis book constitutes the proceedings of the 25th International Conference on Conceptual Structures, ICCS 2020, held in Bolzano, Italy, in September 2020.* The 10 full papers, 5 short papers and 1 poster paper presented were carefully reviewed and selected from 24 submissions. The proceedings also include two keynotes and two tutorials. The papers focus on the representation of and reasoning with conceptual structures in a variety of contexts. The topics of this year's conference range from formal concept analysis to decision making, from machine learning to natural language processing. *The conference was held virtually due to the COVID-19 pandemic.
Ontology-Based Development of Industry 4.0 and 5.0 Solutions for Smart Manufacturing and Production: Knowledge Graph and Semantic Based Modeling and Optimization of Complex Systems (Springer Series in Advanced Manufacturing)
by János Abonyi László Nagy Tamás RuppertThis book presents a comprehensive framework for developing Industry 4.0 and 5.0 solutions through the use of ontology modeling and graph-based optimization techniques. With effective information management being critical to successful manufacturing processes, this book emphasizes the importance of adequate modeling and systematic analysis of interacting elements in the era of smart manufacturing. The book provides an extensive overview of semantic technologies and their potential to integrate with existing industrial standards, planning, and execution systems to provide efficient data processing and analysis. It also investigates the design of Industry 5.0 solutions and the need for problem-specific descriptions of production processes, operator skills and states, and sensor monitoring in intelligent spaces. The book proposes that ontology-based data can efficiently represent enterprise and manufacturing datasets. The book is divided into two parts: modeling and optimization. The semantic modeling part provides an overview of ontologies and knowledge graphs that can be used to create Industry 4.0 and 5.0 applications, with two detailed applications presented on a reproducible industrial case study. The optimization part of the book focuses on network science-based process optimization and presents various detailed applications, such as graph-based analytics, assembly line balancing, and community detection. The book is based on six key points: the need for horizontal and vertical integration in modern industry; the potential benefits of integrating semantic technologies into ERP and MES systems; the importance of optimization methods in Industry 4.0 and 5.0 concepts; the need to process large amounts of data while ensuring interoperability and re-usability factors; the potential for digital twin models to model smart factories, including big data access; and the need to integrate human factors in CPSs and provide adequate methods to facilitate collaboration and support shop floor workers.
Ontology Engineering in a Networked World
by Aldo Gangemi Asunción Gómez-Pérez Enrico Motta Mari Carmen Suárez-FigueroaThe Semantic Web is characterized by the existence of a very large number of distributed semantic resources, which together define a network of ontologies. These ontologies in turn are interlinked through a variety of different meta-relationships such as versioning, inclusion, and many more. This scenario is radically different from the relatively narrow contexts in which ontologies have been traditionally developed and applied, and thus calls for new methods and tools to effectively support the development of novel network-oriented semantic applications. This book by Suárez-Figueroa et al. provides the necessary methodological and technological support for the development and use of ontology networks, which ontology developers need in this distributed environment. After an introduction, in its second part the authors describe the NeOn Methodology framework. The book's third part details the key activities relevant to the ontology engineering life cycle. For each activity, a general introduction, methodological guidelines, and practical examples are provided. The fourth part then presents a detailed overview of the NeOn Toolkit and its plug-ins. Lastly, case studies from the pharmaceutical and the fishery domain round out the work. The book primarily addresses two main audiences: students (and their lecturers) who need a textbook for advanced undergraduate or graduate courses on ontology engineering, and practitioners who need to develop ontologies in particular or Semantic Web-based applications in general. Its educational value is maximized by its structured approach to explaining guidelines and combining them with case studies and numerous examples. The description of the open source NeOn Toolkit provides an additional asset, as it allows readers to easily evaluate and apply the ideas presented.
Open Conformal Systems and Perturbations of Transfer Operators (Lecture Notes in Mathematics #2206)
by Mariusz Urbański Mark PollicottThe focus of this book is on open conformal dynamical systems corresponding to the escape of a point through an open Euclidean ball. The ultimate goal is to understand the asymptotic behavior of the escape rate as the radius of the ball tends to zero. In the case of hyperbolic conformal systems this has been addressed by various authors. The conformal maps considered in this book are far more general, and the analysis correspondingly more involved. The asymptotic existence of escape rates is proved and they are calculated in the context of (finite or infinite) countable alphabets, uniformly contracting conformal graph-directed Markov systems, and in particular, conformal countable alphabet iterated function systems. These results have direct applications to interval maps, rational functions and meromorphic maps. Towards this goal the authors develop, on a purely symbolic level, a theory of singular perturbations of Perron--Frobenius (transfer) operators associated with countable alphabet subshifts of finite type and Hölder continuous summable potentials. This leads to a fairly full account of the structure of the corresponding open dynamical systems and their associated surviving sets.
Open Data Governance and Its Actors: Theory and Practice (Studies in National Governance and Emerging Technologies)
by Maxat KassenThis book combines theoretical and practical knowledge about key actors and driving forces that help to initiate and advance open data governance. Using Finland and Sweden as case studies, it sheds light on the roles of key actors in the open data movement, enabling researchers to understand the key operational elements of data-driven governance. Examining the most salient manifestations of related networking activities, the motivations of stakeholders, and the political and socioeconomic readiness of the public, private and civic sectors to advance such policies, it will appeal to e-government experts, policymakers and political scientists, as well as academics and students of public administration, public policy, and open data governance.
Open Data in Southeast Asia
by Manuel StagarsThis book exploresthe power of greater openness, accountability, and transparency in digitalinformation and government data for the nations of Southeast Asia. The author demonstratesthat, although the term "open data" seems to be self-explanatory, it involvesan evolving ecosystem of complex domains. Through empirical case studies, thisbook explains how governments in the ASEAN may harvest the benefits of opendata to maximize their productivity, efficiency and innovation. The book alsoinvestigates how increasing digital divides in the population, boundaries tocivil society, and shortfalls in civil and political rights threaten to arrestopen data in early development, which may hamper post-2015 development agendasin the region. With robust open data policies and clear roadmaps, member statesof the ASEAN can harvest the promising opportunities of open data in theirparticular developmental, institutional and legal settings. Governments, policymakers, entrepreneurs and academics will gain a clearer understanding of the factorsthat enable open data from this timely research.
The Open Dynamics of Braitenberg Vehicles
by Jeff Yoshimi Scott HottonAn introduction to dynamical systems theory, a detailed mathematical analysis of pairs of Braitenberg vehicles, and a look at how these results apply to the study of physical and biological organisms.Powering the concept of a Braitenberg vehicle, developed in 1984 by the Italian-Austrian cyberneticist Valentino Braitenberg, is the idea that simple systems can produce complex behaviors. A pair of interacting Braitenberg vehicles is simple, but they can meander, wind around, and follow each another in a number of ways. In this book, Scott Hotton and Jeff Yoshimi show how dynamical systems theory—in particular the theory of open dynamic systems—can be used to analyze pairs of these vehicles in great detail. The result of the authors&’ long-standing collaboration at the intersection of mathematics, philosophy, cognitive science, and biology, The Open Dynamics of Braitenberg Vehicles offers a rigorous mathematical foundation for embodied cognition, especially when it comes to two-way interactions between an agent and its environment.Following an introduction to dynamical systems theory, and the most detailed mathematical analysis of Braitenberg vehicles to date, Hotton and Yoshimi discuss how their results can be applied to the study of physical and biological systems. They also describe their work's relevance to debates in the philosophy of embodied cognitive science. Combining the best features of embodied and representational approaches to cognitive science, complete with code and simulations, The Open Dynamics of Braitenberg Vehicles provides an extremely accessible and visually rich look into the workings and applications of open dynamical systems.
Open GIS
by Qunying Huang Jizhe Xia Zhipeng Gui Wei TuThis book provides a comprehensive introduction about recent state-of-the-art advancements in Open GIS, including Open GIS data, services, software, and libraries for GIS programming. Though GIS software has entered the era of Open GIS alongside the emerging trend of open source software, there is no suitable book for GIS educators to teach our next generation, and for professionals to gain an in-depth understanding about Open GIS technologies and toolkits. This book intends to provide this missing guidance for students, educators and professionals in geospatial fields to quickly find, learn and use a wide arrange of open-sourced data, tools, and programming for geospatial applications. The book begins with an introduction to open data, and discusses data management solutions, including both open-sourced relational databases and NoSQL database systems for big data. Next, the book covers different GIS and remote sensing software, tools and programminglibraries to perform spatial statistics and analyses. Readers will learn about the tools and libraries for desktop and web GIS development for both two dimensional (2D) and three dimensional (3D) mapping and visualization. Finally, the book provides two example of Open GIS applications including public health and natural hazards. At the end of each chapter, practical hands-on exercises are included for readers to fully master the most popular Open GIS technologies introduced in the chapter.
Open Middle Math: Problems That Unlock Student Thinking, 6-12
by Robert KaplinskyThis book is an amazing resource for teachers who are struggling to help students develop both procedural fluency and conceptual understanding.. --Dr. Margaret (Peg) Smith, co-author of5 Practices for Orchestrating Productive Mathematical Discussions Robert Kaplinsky, the co-creator of Open Middle math problems, brings hisnew class of tasks designed to stimulate deeper thinking and lively discussion among middle and high school students in Open Middle Math: Problems That Unlock Student Thinking, Grades 6-12. The problems are characterized by a closed beginning,- meaning all students start with the same initial problem, and a closed end,- meaning there is only one correct or optimal answer. The key is that the middle is open- in the sense that there are multiple ways to approach and ultimately solve the problem. These tasks have proven enormously popular with teachers looking to assess and deepen student understanding, build student stamina, and energize their classrooms. Professional Learning Resource for Teachers: Open Middle Math is an indispensable resource for educators interested in teaching student-centered mathematics in middle and high schools consistent with the national and state standards. Sample Problems at Each Grade: The book demonstrates the Open Middle concept with sample problems ranging from dividing fractions at 6th grade to algebra, trigonometry, and calculus. Teaching Tips for Student-Centered Math Classrooms: Kaplinsky shares guidance on choosing problems, designing your own math problems, and teaching for multiple purposes, including formative assessment, identifying misconceptions, procedural fluency, and conceptual understanding. Adaptable and Accessible Math: The tasks can be solved using various strategies at different levels of sophistication, which means all students can access the problems and participate in the conversation. Open Middle Math will help math teachers transform the 6th -12th grade classroom into an environment focused on problem solving, student dialogue, and critical thinking.
Open Middle Math: Problems That Unlock Student Thinking, 6-12
by Robert KaplinskyThis book is an amazing resource for teachers who are struggling to help students develop both procedural fluency and conceptual understanding.. --Dr. Margaret (Peg) Smith, co-author of5 Practices for Orchestrating Productive Mathematical Discussions Robert Kaplinsky, the co-creator of Open Middle math problems, brings hisnew class of tasks designed to stimulate deeper thinking and lively discussion among middle and high school students in Open Middle Math: Problems That Unlock Student Thinking, Grades 6-12. The problems are characterized by a closed beginning,- meaning all students start with the same initial problem, and a closed end,- meaning there is only one correct or optimal answer. The key is that the middle is open- in the sense that there are multiple ways to approach and ultimately solve the problem. These tasks have proven enormously popular with teachers looking to assess and deepen student understanding, build student stamina, and energize their classrooms. Professional Learning Resource for Teachers: Open Middle Math is an indispensable resource for educators interested in teaching student-centered mathematics in middle and high schools consistent with the national and state standards. Sample Problems at Each Grade: The book demonstrates the Open Middle concept with sample problems ranging from dividing fractions at 6th grade to algebra, trigonometry, and calculus. Teaching Tips for Student-Centered Math Classrooms: Kaplinsky shares guidance on choosing problems, designing your own math problems, and teaching for multiple purposes, including formative assessment, identifying misconceptions, procedural fluency, and conceptual understanding. Adaptable and Accessible Math: The tasks can be solved using various strategies at different levels of sophistication, which means all students can access the problems and participate in the conversation. Open Middle Math will help math teachers transform the 6th -12th grade classroom into an environment focused on problem solving, student dialogue, and critical thinking.
Open Problems in Mathematics
by John Forbes Forbes Nash Jr. Michael Th. Th. RassiasThe goal in putting together this unique compilation was to presentthe current status of the solutions to some of the most essential open problemsin pure and applied mathematics. Emphasis is also given to problems ininterdisciplinary research for which mathematics plays a key role. This volume comprises highly selected contributions by some of the mosteminent mathematicians in the international mathematical community onlongstanding problems in very active domains of mathematical research. A jointpreface by the two volume editors is followed by a personal farewell to John F. Nash, Jr. written by Michael Th. Rassias. An introduction by Mikhail Gromovhighlights some of Nash's legendary mathematical achievements. The treatment in this book includes open problems inthe following fields: algebraic geometry, number theory, analysis, discretemathematics, PDEs, differential geometry, topology, K-theory, game theory, fluidmechanics, dynamical systems and ergodic theory, cryptography, theoreticalcomputer science, and more. Extensive discussions surrounding the progress madefor each problem are designed to reach a wide community of readers, fromgraduate students and established research mathematicians to physicists,computer scientists, economists, and research scientists who are looking todevelop essential and modern new methods and theories to solve a variety ofopen problems.
Open Problems in Mathematics and Computational Science
by Çetin Kaya KoçThis book presents interesting, important unsolved problems in the mathematical and computational sciences. The contributing authors are leading researchers in their fields and they explain outstanding challenges in their domains, first by offering basic definitions, explaining the context, and summarizing related algorithms, theorems, and proofs, and then by suggesting creative solutions. The authors feel a strong motivation to excite deep research and discussion in the mathematical and computational sciences community, and the book will be of value to postgraduate students and researchers in the areas of theoretical computer science, discrete mathematics, engineering, and cryptology.
Open Problems in Optimization and Data Analysis (Springer Optimization and Its Applications #141)
by Panos M. Pardalos Athanasios MigdalasComputational and theoretical open problems in optimization, computational geometry, data science, logistics, statistics, supply chain modeling, and data analysis are examined in this book. Each contribution provides the fundamentals needed to fully comprehend the impact of individual problems. Current theoretical, algorithmic, and practical methods used to circumvent each problem are provided to stimulate a new effort towards innovative and efficient solutions. Aimed towards graduate students and researchers in mathematics, optimization, operations research, quantitative logistics, data analysis, and statistics, this book provides a broad comprehensive approach to understanding the significance of specific challenging or open problems within each discipline. The contributions contained in this book are based on lectures focused on “Challenges and Open Problems in Optimization and Data Science” presented at the Deucalion Summer Institute for Advanced Studies in Optimization, Mathematics, and Data Science in August 2016.
Open Problems in the Geometry and Analysis of Banach Spaces
by Antonio J. Guirao Vicente Montesinos Václav ZizlerThis is an collection of some easily-formulated problems that remain open in the study of the geometry and analysis of Banach spaces. Assuming the reader has a working familiarity with the basic results of Banach space theory, the authors focus on concepts of basic linear geometry, convexity, approximation, optimization, differentiability, renormings, weak compact generating, Schauder bases and biorthogonal systems, fixed points, topology and nonlinear geometry. The main purpose of this work is to help in convincing young researchers in Functional Analysis that the theory of Banach spaces is a fertile field of research, full of interesting open problems. Inside the Banach space area, the text should help expose young researchers to the depth and breadth of the work that remains, and to provide the perspective necessary to choose a direction for further study. Some of the problems are longstanding open problems, some are recent, some are more important and some are only local problems. Some would require new ideas, some may be resolved with only a subtle combination of known facts. Regardless of their origin or longevity, each of these problems documents the need for further research in this area.
Open Quantum Systems: A Mathematical Perspective (Tutorials, Schools, and Workshops in the Mathematical Sciences)
by Dorothea Bahns Anke Pohl Ingo WittThis book presents four survey articles on various aspects of open quantum systems, specifically addressing quantum Markovian processes, Feller semigroups and nonequilibrium dynamics. The contributions are based on lectures given by distinguished experts at a summer school in Göttingen, Germany. Starting from basic notions, the authors of these lecture notes accompany the reader on a journey up to the latest research, highlighting new challenges and addressing unsolved problems at the interface between mathematics and physics. Though the book is primarily addressed to graduate students, it will also be of interest to researchers.
Open Quantum Systems
by Ángel Rivas Susana F. HuelgaIn this volume the fundamental theory of open quantum systems is revised in the light of modern developments in the field. A unified approach to the quantum evolution of open systems is presented by merging concepts and methods traditionally employed by different communities, such as quantum optics, condensed matter, chemical physics and mathematical physics. The mathematical structure and the general properties of the dynamical maps underlying open system dynamics are explained in detail. The microscopic derivation of dynamical equations, including both Markovian and non-Markovian evolutions, is also discussed. Because of the step-by-step explanations, this work is a useful reference to novices in this field. However, experienced researches can also benefit from the presentation of recent results.
Open Quantum Systems: Foundations and Theory (Graduate Texts in Physics)
by Bassano VacchiniThe proposed book is a bridge between the foundations of quantum mechanics and the theory of open quantum systems. The treatment of open quantum systems is a rapidly growing subject, of interest to an ever-increasing number of scientists. The main focus is on overcoming the idealization of perfect isolation of a quantum system, so as to allow for a more realistic treatment and to provide the relevant background for the development of quantum technologies. The book is addressed to students and researchers in the field of open quantum systems and more generally quantum mechanics, a wide community of physicists, mathematicians, and chemists. It is devised both to enter the field and to prepare a series of lectures or a one-semester course on the topic.