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Space Exploration (Real World Math)
by Jennifer SzymanskiGrab your space suit and get ready to use math to explore space!3 … 2 … 1 … blast off! Space scientists use math every day to explore our universe. Join a real astronomer on an amazing adventure to COUNT the planets, MEASURE the stars, ADD on the space station, and more. Then test your math skills with special You Can Do It challenges.This brand-new series demonstrates how math skills can be applied to high-interest topics and careers in Coding, Building, Tracking Animals, and Space Exploration. The K-2 math concepts include counting 1-100 with basic addition and subtraction, using the power of 10, measuring, and simple geometry. Real world scientists, architects, programmers, and mathematicians model hands-on, from-the-field experiences in a way that will make children excited to use and expand their math skills!
Space Group Representations: Theory, Tables and Applications
by Nikolai B. Melnikov Boris I. ReserThis book is devoted to the construction of space group representations, their tabulation, and illustration of their use. Representation theory of space groups has a wide range of applications in modern physics and chemistry, including studies of electron and phonon spectra, structural and magnetic phase transitions, spectroscopy, neutron scattering, and superconductivity. The book presents a clear and practical method of deducing the matrices of all irreducible representations, including double-valued, and tabulates the matrices of irreducible projective representations for all 32 crystallographic point groups. One obtains the irreducible representations of all 230 space groups by multiplying the matrices presented in these compact and convenient to use tables by easily computed factors. A number of applications to the electronic band structure calculations are illustrated through real-life examples of different crystal structures. The book's content is accessible to both graduate and advanced undergraduate students with elementary knowledge of group theory and is useful to a wide range of experimentalists and theorists in materials and solid-state physics.
Space Information Networks: 7th International Conference, SINC 2023, Wuhan, China, October 12–13, 2023, Revised Selected Papers (Communications in Computer and Information Science #2057)
by Quan YuThis book constitutes revised selected papers from the thoroughly refereed proceedings of the 7th International Conference on Space Information Network, SINC 2023, held in Wuhan, China, during October 12–13, 2023. The 8 full papers and 5 short papers included in this book were carefully reviewed and selected from 73 submissions. The papers present the latest research in the fields of space information networks.
Space Matters
by Jacque LynnGently encourage mindfulness and critical thinking through this playful and witty exploration of negative space. Can empty space be useful? Can it lead to new perspectives and new appreciation? Might it even be inspiring? Find out in a winsome book that draws on a child&’s everyday experiences to prompt readers to look twice at their surroundings and notice the significance of sights, sounds, and spaces otherwise taken for granted.
Space Strategy
by Jean-Luc Lefebvre"If there has not been a war in space, there is already more war without space!" To understand the spatial strategy, we must first know the environment and delineate the field. It must then assess the strategic importance of space. Finally, we must imagine the possibilities of a fight since, against and in space. Space Strategy responds to this questioning. Moreover, this book explicitly established concepts, such as the militarization and weaponization of space; it innovates by setting the "martialisation of space". It shows how space assets are a key component of information literacy, the key to power in the next century. Finally, it sets out a number of principles and lays the foundation for a future strategy and using the Moon Lagrange points.
Space and Astrophysical Plasma Simulation: Methods, Algorithms, and Applications
by Jörg BüchnerThis book is a collection of contributions covering the major subjects in numerical simulation of space and astrophysical plasma. It introduces the different approaches and methods to model plasma, the necessary computational codes, and applications in the field. The book is rooted in the previous work Space Plasma Simulation (Springer, 2003) and includes the latest developments. It is divided into three parts and all chapters start with an introduction motivating the topic and its use in research and ends with a discussion of its applications. The chapters of the first part contain tutorials of the different basic approaches needed to perform space plasma simulations. This part is particularly useful for graduate students to master the subject. The second part presents more advanced materials for students and researchers who already work with pre-existing codes but want to implement the recent progresses made in the field. The last part of the book discusses developments in the area for researchers who are actively working on advanced simulation approaches like higher order schemes and artificial intelligence, agent-based technologies for multiscale and multi-dimensional systems, which represent the recent innovative contributions made in space plasma research.
Space, Number, and Geometry from Helmholtz to Cassirer
by Francesca BiagioliThis book offers a reconstruction of the debate on non-Euclidean geometry in neo-Kantianism between the second half of the nineteenth century and the first decades of the twentieth century. Kant famously characterized space and time as a priori forms of intuitions, which lie at the foundation of mathematical knowledge. The success of his philosophical account of space was due not least to the fact that Euclidean geometry was widely considered to be a model of certainty at his time. However, such later scientific developments as non-Euclidean geometries and Einstein's general theory of relativity called into question the certainty of Euclidean geometry and posed the problem of reconsidering space as an open question for empirical research. The transformation of the concept of space from a source of knowledge to an object of research can be traced back to a tradition, which includes such mathematicians as Carl Friedrich Gauss, Bernhard Riemann, Richard Dedekind, Felix Klein, and Henri Poincaré, and which finds one of its clearest expressions in Hermann von Helmholtz's epistemological works. Although Helmholtz formulated compelling objections to Kant, the author reconsiders different strategies for a philosophical account of the same transformation from a neo-Kantian perspective, and especially Hermann Cohen's account of the aprioricity of mathematics in terms of applicability and Ernst Cassirer's reformulation of the a priori of space in terms of a system of hypotheses. This book is ideal for students, scholars and researchers who wish to broaden their knowledge of non-Euclidean geometry or neo-Kantianism.
Space-Filling Curves
by Michael BaderThe present book provides an introduction to using space-filling curves (SFC) as tools in scientific computing. Special focus is laid on the representation of SFC and on resulting algorithms. For example, grammar-based techniques are introduced for traversals of Cartesian and octree-type meshes, and arithmetisation of SFC is explained to compute SFC mappings and indexings. The locality properties of SFC are discussed in detail, together with their importance for algorithms. Templates for parallelisation and cache-efficient algorithms are presented to reflect the most important applications of SFC in scientific computing. Special attention is also given to the interplay of adaptive mesh refinement and SFC, including the structured refinement of triangular and tetrahedral grids. For each topic, a short overview is given on the most important publications and recent research activities.
Space-Time Foliation in Quantum Gravity
by Yuki SatoIn this thesis, the author considers quantum gravity to investigate the mysterious origin of our universe and its mechanisms. He and his collaborators have greatly improved the analyticity of two models: causal dynamical triangulations (CDT) and n-DBI gravity, with the space-time foliation which is one common factor shared by these two separate models. In the first part, the analytic method of coupling matters to CDT in 2-dimensional toy models is proposed to uncover the underlying mechanisms of the universe and to remove ambiguities remaining in CDT. As a result, the wave function of the 2-dimensional universe where matters are coupled is derived. The behavior of the wave function reveals that the Hausdorff dimension can be changed when the matter is non-unitary. In the second part, the n-DBI gravity model is considered. The author mainly investigates two effects driven by the space-time foliation: the appearance of a new conserved charge in black holes and an extra scalar mode of the graviton. The former implies a breakdown of the black-hole uniqueness theorem while the latter does not show any pathological behavior.
Space-Time Geometries for Motion and Perception in the Brain and the Arts (Lecture Notes in Morphogenesis)
by Alain Berthoz Tamar FlashThis book is based on a two-day symposium at the Paris Institute of Advanced Study titled "space-time geometries and movement in the brain and the arts". It includes over 20 chapters written by the leading scientists and artists who presented their related research studies at the symposium and includes six sections; the first three focus on space-time geometries in perception, action and memory while the last three focus on specific artistic domains: drawing and painting, dance, music, digital arts and robotics. The book is accompanied by a dedicated webpage including related images and videos. There is an ever-growing interest in the topics covered by this book. Space and time are of fundamental importance for our understanding of human perception, action, memory and cognition, and are entities which are equally important in physics, biology, neuroscience and psychology. Highly prominent scientists and mathematicians have expressed their belief that our bodies and minds shape the ways we perceive space and time and the physical laws we formulate. Understanding how the brain perceives motion and generates -bodily movements is of great significance. There is also growing interest in studying how space, time and movement subserve artistic creations in different artistic modalities (e.g., fine arts, digital and performing arts and music). This interest is inspired by the idea that artists make intuitive use of the principles and simplifying strategies used by the brain in movement generation and perception. Building upon new understanding of the spatio-temporal geometries subserving movement generation and perception by the brain we can start exploring how artists make use of such neuro --geometrical and neuro-dynamic representations in order to express artistic concepts and emotionally affect the human observers and listeners. Scientists have also started formulating new ideas of how aesthetic judgements emerge from the principles and brain mechanisms subserving motor control and motion perception.Covering novel and multidisciplinary topics, this advanced book will be of interest to neuroscientists, behavioral scientists, artificial intelligence and robotics experts, students and artists.
Space-Time Integration in Geography and GIScience
by Donggen Wang Chenghu Zhou Mei-Po Kwan Douglas RichardsonSpace-time analysis is a rapidly growing research frontier in geography, GIS, and GIScience. Advances in integrated GPS/GIS technologies, the availability of large datasets (over time and space), and increased capacity to manage, integrate, model and visualize complex data in (near) real time, offer the GIS and geography communities extraordinary opportunities to begin to integrate sophisticated space-time analysis and models in the study of complex environmental and social systems, from climate change to infectious disease transmission. This volume specifically focuses on research frontiers, comparative research, and research and application interactions in this field in the US and China, arguably the two most dynamic loci for this work today. The contributions to this book, by top researchers in China and the US, productively highlight the differences and similarities in approaches and directions for space-time analysis in the two countries. In light of the recent rapid progress in GIScience research on space-time integration in both countries, the book's focus on research frontiers in these two countries will attract great interest in both countries and in other parts of the world as well as among related disciplines. In addition, the book also explores the impact of collaborative research and publications underway in this area between the US and China and will provide an overview of these collaborative efforts and programs. This book will not only be of interest to university-based GIS researchers and students, but also to those interested in this new area of research and applications like researchers and developers in business, internet mapping and GIS and location based services (LBS).
Space-time: An Introduction to Einstein's Theory of Gravity
by Jonathan AlldayThis book, suitable for interested post-16 school pupils or undergraduates looking for a supplement to their course text, develops our modern view of space-time and its implications in the theories of gravity and cosmology. While aspects of this topic are inevitably abstract, the book seeks to ground thinking in observational and experimental evidence where possible. In addition, some of Einstein’s philosophical thoughts are explored and contrasted with our modern views. Written in an accessible yet rigorous style, Jonathan Allday, a highly accomplished writer, brings his trademark clarity and engagement to these fascinating subjects, which underpin so much of modern physics. Features: Restricted use of advanced mathematics, making the book suitable for post-16 students and undergraduates Contains discussions of key modern developments in quantum gravity, and the latest developments in the field, including results from the Laser Interferometer Gravitational-Wave Observatory (LIGO) Accompanied by appendices on the CRC Press website featuring detailed mathematical arguments for key derivations
Spacecraft Momentum Control Systems (Space Technology Library #46)
by Frederick A. Leve Brian J. Hamilton Mason A. Peck William BialkeWith space-industry professionals and university students, this book offers a practical technical reference for seeking to understand the state of the art in spacecraft momentum control systems. The focus is control moment gyroscope (CMG) technology, but general principles of momentum control—for example, through reaction wheels, magnetic torque actuation, and other means—are presented. These key topics are treated in several contexts: systems engineering and spacecraft architecture, attitude control and dynamics, and mission operations. The subject matter is developed with theoretical rigor and in terms of practical implementation in flight hardware software. This book is the first to address CMG technology in depth, let alone from a practitioner&’s perspective. It is also timely, given the rise of commercial Earth imaging, the imminent need for high-torque manipulation of satellites for servicing and assembly, the advances in privately built spacecraft (including small satellites), and the growing popularity of the subject matter in academia over the past two decades. The current edition includes exercises suitable for upper-level undergraduate courses and graduate-level courses in spacecraft attitude dynamics and control, spacecraft design, and space systems engineering. This second edition provides more applications, attitude control, momentum and nutation dumping, isolation, system identification, systems engineering, bearings, and structures as well as more in depth discussions of equations of motion, as well as the numerics and complexity associated with generalized inverses that are used for steering algorithms.
Space–Time Computational Flow Analysis: A Chronological Catalog of Unconventional Methods and First-of-Its-Kind Solutions (Modeling and Simulation in Science, Engineering and Technology)
by Tayfun E. Tezduyar Kenji TakizawaSpace–Time Computational Flow Analysis (STCFA) was developed in 1990 in the context of flows with moving boundaries and interfaces, which is a wide class of problems that includes fluid–particle interactions, fluid–structure interactions (FSI), and free-surface and multi-fluid flows. It is a computational framework made of unconventional methods, which have evolved over the years as more unconventional methods were introduced to increase its scope and accuracy. It brought first-of-its-kind solutions in many classes of problems, including fluid–particle interactions in particle-laden flows, FSI in parachute aerodynamics, flapping-wing aerodynamics of an actual locust, ventricle-valve-aorta flow analysis, and car and tire aerodynamics. With these successes in so many classes of problems, the STCFA has reached a level of remarkable sophistication, scope, and practical value. This monograph presents, for the first time, a chronological catalog of STCFA methods and solutions from their development to the present. Part I focuses on the STCFA in the context of finite element analysis, and Part II in the context of isogeometric analysis. The methods presented include complementary general-purpose methods that were introduced in the evolution of STCFA. All researchers working on or interested in space–time computations in fluid mechanics, FSI, and solid mechanics, including graduate students, will benefit from the wealth of powerful computational methods and impressive solutions they will find in the book.
Space–Time Conservation Element and Solution Element Method: Advances and Applications in Engineering Sciences (Engineering Applications of Computational Methods #13)
by Chih-Yung Wen Yazhong Jiang Lisong ShiThis open access book introduces the fundamentals of the space–time conservation element and solution element (CESE) method, which is a novel numerical approach for solving equations of physical conservation laws. It highlights the recent progress to establish various improved CESE schemes and its engineering applications. With attractive accuracy, efficiency, and robustness, the CESE method is particularly suitable for solving time-dependent nonlinear hyperbolic systems involving dynamical evolutions of waves and discontinuities. Therefore, it has been applied to a wide spectrum of problems, e.g., aerodynamics, aeroacoustics, magnetohydrodynamics, multi-material flows, and detonations. This book contains algorithm analysis, numerical examples, as well as demonstration codes. This book is intended for graduate students and researchers who are interested in the fields such as computational fluid dynamics (CFD), mechanical engineering, and numerical computation.
Spaghetti and Meatballs for All!: A Mathematical Story
by Debbie Tilley Marilyn BurnsKids will exercise their early math skills with this bestselling picture book--now available in Scholastic Bookshelf! Mr. and Mrs. Comfort are having a family reunion! Mr. Comfort starts cooking up his famous spaghetti and meatballs, while Mrs. Comfort carefully arranges eight tables and thirty-two chairs so that everyone will have a seat. The tables look lovely, the food is ready, and here come the guests--with their own seating plans! This delightful Marilyn Burns Brainy Day Book uses wit and humor to draw children into thinking about area and perimeter.
Spanning Trees and Optimization Problems (Discrete Mathematics and Its Applications)
by Bang Ye Wu Kun-Mao ChaoThe design of approximation algorithms for spanning tree problems has become an exciting and important area of theoretical computer science and also plays a significant role in emerging fields such as biological sequence alignments and evolutionary tree construction. While work in this field remains quite active, the time has come to collect under
Spannungsfeld Flüchtlinge: Ein psychologischer Blick auf Engagierte und die Dialogkultur
by Christel KumbruckDieses Buch analysiert wissenschaftlich fundiert und zugleich allgemeinverständlich das Engagement von Menschen, die sich für die Aufnahme von Geflüchteten oder gegen die deutsche Flüchtlingspolitik engagieren, sowie ihre Motive, Emotionen, Denk- und Argumentationsweisen. Dabei werden psychologische Mechanismen, die ursächlich für die viel diskutierte Polarisierung unserer modernen Gesellschaft sind, deutlich. Erstmalig werden die tieferen Ursachen für bestehende Dialogbarrieren aufgespürt und mit psychologischen Modellen erklärt. Dabei decken die Autor*innen neben polarisierenden Dialogprozessen auch Gemeinsamkeiten beider Seiten auf und erarbeiten daraus Ansatzpunkte für Dialogchancen und eine Depolarisierung der Kommunikation. Neben der psychologischen Betrachtung erfolgt außerdem eine Einordung der beschriebenen, empirisch ermittelten Erkenntnisse in übergeordnete soziokulturelle Prozesse und gesellschaftliche Rahmenbedingungen. Auch hieraus werden Lösungsansätze, diesmal auf der Ebene von Politik und Gesellschaft, erarbeitet. Ein Buch für alle, die mehr Einblicke in das Flüchtlingsengagement haben wollen, die sich in Politik, Beratung, Coaching, Erziehung u.ä. aktiv an der Bewahrung einer Dialogkultur beteiligen, oder zumindest die (psychologischen) Mechanismen verstehen möchten, welche eine Polarisierung der Gesellschaft fördern."Dieses klare und differenzierte Arbeitsbuch ist eine großartige Hilfe zum Selbstdenken." - Prof. Aleida Assmann"Flucht und Migration werden Deutschland weiterhin vor Herausforderungen stellen. Dieses Buch zeigt nachvollziehbar, wie Wahrnehmungs-, Denk- und Handlungsweisen zu einer destruktiven Polarisierung beitragen können, aber auch welche Möglichkeiten wir alle haben, um der Falle vergifteter Kommunikation zu entgehen: ein hilfreiches Buch, um demokratischen Zusammenhalt zu stärken." - Prof. Eva Senghaas-Knobloch
Sparking Innovation in Children Through STEM Exploration: A K-8 Teacher′s Guide to Inspiring Future Problem Solvers
by Richard Cox Brandy HowardInnovation isn′t just a goal; it′s a necessity in today′s world. Today, educators face an imperative: prepare learners for an unpredictable future. Sparking Innovation in Children Through STEM Exploration: A K-8 Teacher′s Guide to Inspiring Future Problem Solvers is here to help meet that challenge by offering the tools to transform classrooms into ecosystems of creativity, collaboration, and critical thinking. This groundbreaking book goes beyond traditional STEM education and offers a comprehensive framework that helps educators cultivate the next generation of innovative thinkers and problem-solvers. Authors Richard Cox, Jr. and Brandy Howard introduce the Innov8 Framework, a dynamic and flexible roadmap designed to foster curiosity, spark imagination, and build critical thinking within classrooms and beyond. Rooted in justice, empathy, and inquiry-based learning, this approach ensures every learner is empowered to contribute their unique perspective to real-world challenges. With hands-on strategies to ensure access for everyone, this book Offers practical, step-by-step guidance through The Innov8 Framework, which introduces the eight phases of innovation—from sparking curiosity to sustaining impact Provides adaptable tools and resources such as editable lesson plans, interest surveys, reflection prompts for both educators and learners, and learner feedback tools designed to seamlessly integrate with existing standards Includes engaging real-world case studies of thriving innovation ecosystems and personal profiles of educators driving innovation, showcasing actionable steps to replicate their success Sparking Innovation in Children Through STEM Exploration provides educators with the tools to ignite curiosity, foster collaboration, and empower young learners to become confident, creative problem-solvers. Prepare your classrooms to shape the future. Your learners will thrive, and so will you.
Sparking Innovation in Children Through STEM Exploration: A K-8 Teacher′s Guide to Inspiring Future Problem Solvers
by Richard Cox Brandy HowardInnovation isn′t just a goal; it′s a necessity in today′s world. Today, educators face an imperative: prepare learners for an unpredictable future. Sparking Innovation in Children Through STEM Exploration: A K-8 Teacher′s Guide to Inspiring Future Problem Solvers is here to help meet that challenge by offering the tools to transform classrooms into ecosystems of creativity, collaboration, and critical thinking. This groundbreaking book goes beyond traditional STEM education and offers a comprehensive framework that helps educators cultivate the next generation of innovative thinkers and problem-solvers. Authors Richard Cox, Jr. and Brandy Howard introduce the Innov8 Framework, a dynamic and flexible roadmap designed to foster curiosity, spark imagination, and build critical thinking within classrooms and beyond. Rooted in justice, empathy, and inquiry-based learning, this approach ensures every learner is empowered to contribute their unique perspective to real-world challenges. With hands-on strategies to ensure access for everyone, this book Offers practical, step-by-step guidance through The Innov8 Framework, which introduces the eight phases of innovation—from sparking curiosity to sustaining impact Provides adaptable tools and resources such as editable lesson plans, interest surveys, reflection prompts for both educators and learners, and learner feedback tools designed to seamlessly integrate with existing standards Includes engaging real-world case studies of thriving innovation ecosystems and personal profiles of educators driving innovation, showcasing actionable steps to replicate their success Sparking Innovation in Children Through STEM Exploration provides educators with the tools to ignite curiosity, foster collaboration, and empower young learners to become confident, creative problem-solvers. Prepare your classrooms to shape the future. Your learners will thrive, and so will you.
Sparse Estimation with Math and R: 100 Exercises for Building Logic
by Joe SuzukiThe most crucial ability for machine learning and data science is mathematical logic for grasping their essence rather than knowledge and experience. This textbook approaches the essence of sparse estimation by considering math problems and building R programs. Each chapter introduces the notion of sparsity and provides procedures followed by mathematical derivations and source programs with examples of execution. To maximize readers’ insights into sparsity, mathematical proofs are presented for almost all propositions, and programs are described without depending on any packages. The book is carefully organized to provide the solutions to the exercises in each chapter so that readers can solve the total of 100 exercises by simply following the contents of each chapter.This textbook is suitable for an undergraduate or graduate course consisting of about 15 lectures (90 mins each). Written in an easy-to-follow and self-contained style, this book will also be perfect material for independent learning by data scientists, machine learning engineers, and researchers interested in linear regression, generalized linear lasso, group lasso, fused lasso, graphical models, matrix decomposition, and multivariate analysis.This book is one of a series of textbooks in machine learning by the same author. Other titles are: - Statistical Learning with Math and R (https://www.springer.com/gp/book/9789811575679) - Statistical Learning with Math and Python (https://www.springer.com/gp/book/9789811578762) - Sparse Estimation with Math and Python
Sparse Graphical Modeling for High Dimensional Data: A Paradigm of Conditional Independence Tests (Chapman & Hall/CRC Monographs on Statistics and Applied Probability)
by Faming Liang Bochao JiaThis book provides a general framework for learning sparse graphical models with conditional independence tests. It includes complete treatments for Gaussian, Poisson, multinomial, and mixed data; unified treatments for covariate adjustments, data integration, and network comparison; unified treatments for missing data and heterogeneous data; efficient methods for joint estimation of multiple graphical models; effective methods of high-dimensional variable selection; and effective methods of high-dimensional inference. The methods possess an embarrassingly parallel structure in performing conditional independence tests, and the computation can be significantly accelerated by running in parallel on a multi-core computer or a parallel architecture. This book is intended to serve researchers and scientists interested in high-dimensional statistics, and graduate students in broad data science disciplines. Key Features: A general framework for learning sparse graphical models with conditional independence tests Complete treatments for different types of data, Gaussian, Poisson, multinomial, and mixed data Unified treatments for data integration, network comparison, and covariate adjustment Unified treatments for missing data and heterogeneous data Efficient methods for joint estimation of multiple graphical models Effective methods of high-dimensional variable selection Effective methods of high-dimensional inference
Sparse Grids and Applications - Miami 2016 (Lecture Notes in Computational Science and Engineering #123)
by Dirk Pflüger Jochen Garcke Clayton G. Webster Guannan ZhangSparse grids are a popular tool for the numerical treatment of high-dimensional problems. Where classical numerical discretization schemes fail in more than three or four dimensions, sparse grids, in their different flavors, are frequently the method of choice. This volume of LNCSE presents selected papers from the proceedings of the fourth workshop on sparse grids and applications, and demonstrates once again the importance of this numerical discretization scheme. The articles present recent advances in the numerical analysis of sparse grids in connection with a range of applications including computational chemistry, computational fluid dynamics, and big data analytics, to name but a few.
Sparse Grids and Applications - Munich 2018 (Lecture Notes in Computational Science and Engineering #144)
by Hans-Joachim Bungartz Dirk Pflüger Jochen GarckeSparse grids are a popular tool for the numerical treatment of high-dimensional problems. Where classical numerical discretization schemes fail in more than three or four dimensions, sparse grids, in their different flavors, are frequently the method of choice.This volume of LNCSE presents selected papers from the proceedings of the fifth workshop on sparse grids and applications, and demonstrates once again the importance of this numerical discretization scheme. The articles present recent advances in the numerical analysis of sparse grids in connection with a range of applications including uncertainty quantification, plasma physics simulations, and computational chemistry, to name but a few.
Sparse Grids and Applications - Stuttgart 2014
by Dirk Pflüger Jochen GarckeThis volume of LNCSE is a collection of the papers from the proceedings of the third workshop on sparse grids and applications. Sparse grids are a popular approach for the numerical treatment of high-dimensional problems. Where classical numerical discretization schemes fail in more than three or four dimensions, sparse grids, in their different guises, are frequently the method of choice, be it spatially adaptive in the hierarchical basis or via the dimensionally adaptive combination technique. Demonstrating once again the importance of this numerical discretization scheme, the selected articles present recent advances on the numerical analysis of sparse grids as well as efficient data structures. The book also discusses a range of applications, including uncertainty quantification and plasma physics.