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Temporal Network Theory (Computational Social Sciences)
by Jari Saramäki Petter HolmeThis book focuses on the theoretical side of temporal network research and gives an overview of the state of the art in the field. Curated by two pioneers in the field who have helped to shape it, the book contains contributions from many leading researchers. Temporal networks fill the border area between network science and time-series analysis and are relevant for the modeling of epidemics, optimization of transportation and logistics, as well as understanding biological phenomena. Network theory has proven, over the past 20 years to be one of the most powerful tools for the study and analysis of complex systems. Temporal network theory is perhaps the most recent significant development in the field in recent years, with direct applications to many of the "big data" sets. This monograph will appeal to students, researchers and professionals alike interested in theory and temporal networks, a field that has grown tremendously over the last decade.
Temporal Network Theory (Computational Social Sciences)
by Jari Saramäki Petter HolmeThis book focuses on the theoretical side of temporal network research and gives an overview of the state of the art in the field. Curated by two pioneers in the field who have helped to shape it, the book contains contributions from many leading researchers. Temporal networks fill the border area between network science and time-series analysis and are relevant for epidemic modeling, optimization of transportation and logistics, as well as understanding biological phenomena. Over the past 20 years, network theory has proven to be one of the most powerful tools for studying and analyzing complex systems. Temporal network theory is perhaps the most recent significant development in the field in recent years, with direct applications to many of the “big data” sets. This book appeals to students, researchers, and professionals interested in theory and temporal networks—a field that has grown tremendously over the last decade. This second edition of Temporal Network Theory extends the first with three chapters highlighting recent developments in the interface with machine learning.
Temporal Networks
by Jari Saramäki Petter HolmeThe concept of temporal networks is an extension of complex networks as a modeling framework to include information on when interactions between nodes happen. Many studies of the last decade examine how the static network structure affect dynamic systems on the network. In this traditional approach the temporal aspects are pre-encoded in the dynamic system model. Temporal-network methods, on the other hand, lift the temporal information from the level of system dynamics to the mathematical representation of the contact network itself. This framework becomes particularly useful for cases where there is a lot of structure and heterogeneity both in the timings of interaction events and the network topology. The advantage compared to common static network approaches is the ability to design more accurate models in order to explain and predict large-scale dynamic phenomena (such as, e.g., epidemic outbreaks and other spreading phenomena). On the other hand, temporal network methods are mathematically and conceptually more challenging. This book is intended as a first introduction and state-of-the art overview of this rapidly emerging field.
Temporary Structure Design
by Christopher SouderA comprehensive guide to temporary structures in construction projects Temporary Structure Design is the first book of its kind, presenting students and professionals with authoritative coverage of the major concepts in designing temporary construction structures. Beginning with a review of statistics, it presents the core topics needed to fully comprehend the design of temporary structures: strength of materials; types of loads on temporary structures; scaffolding design; soil properties and soil loading; soldier beam, lagging, and tiebacks; sheet piling and strutting; pressure and forces on formwork and falsework; concrete formwork design; falsework; bracing and guying; trestles and equipment bridges; and the support of existing structures. Temporary structures during construction include scaffolding, formwork, shoring, ramps, platforms, earth-retaining structures, and other construction structures that are not part of the permanent installation. These structures are less regulated and monitored than most other parts of the construction process, even though they are often supporting tons of steel or concrete—and the safety of all workers on the site depends on these structures to perform as designed. Unfortunately, most tragic failures occur during construction and are usually the result of improperly designed, constructed, and/or maintained temporary structures. Temporary Structure Design fills an important need in the literature by providing a trusted, comprehensive guide to designing temporary construction structures. Serves as the first book to provide a design-oriented approach to the design of temporary structures Includes coverage of the various safety considerations inherent in temporary structure design and construction Provides information on estimating cost and schedules for these specialized structures Covers formwork and falsework, as well as personnel protection, production support, environmental protection, and foundational structures If you're a student or a professional working in the field of construction or structural engineering, Temporary Structure Design is a must-have resource you'll turn to again and again.
Ten Engineers Who Made Britain Great: The Men Behind the Industrial Revolution
by Anthony BurtonSamuel Smiles published Lives of the Engineers in 1862. The noted biographer presented his engineers as heroic progress makers who conquered nature and overcame impossible obstacles to drive the Industrial Revolution forward, but included twisted and often fabricated accounts in his work.In Ten Engineers Who Made Britain Great, Anthony Burton seeks to correct this narrative by offering nuanced portraits of some of the best-known engineers of the eighteenth and nineteenth centuries. Burton investigates the common themes that run between the stories of John Metcalf, James Brindley, John Smeaton, William Jessop, Thomas Telford, James Watt, Richard Trevithick, George and Robert Stephenson, and Isambard Kingdom Brunel, and also explores how each of these men learned from one another.
Ten Essential Skills for Electrical Engineers
by Barry DorrEngineers know that, as in any other discipline, getting a good job requires practical, up-to-date skills. An engineering degree provides a broad set of fundamentals. Ten Essential Skills applies those fundamentals to practical tasks required by employers. Written in a user-friendly, no-nonsense format, the book reviews practical skills using the latest tools and techniques, and features a companion website with interview practice problems and advanced material for readers wishing to pursue additional skills. With this book, aspiring and current engineers may approach job interviews confident in their grasp of the engineering skills that their employers seek.
Ten Lessons in Public Health: Inspiration for Tomorrow's Leaders
by Alfred SommerA riveting personal tale of the rise of public health.There are occasions when a story told from a personal viewpoint can illuminate a profession. Alfred Sommer’s epidemiological memoir is such a book. Adventurous, illuminating, and thought provoking, Ten Lessons in Public Health is more than the story of one man’s work. It tells the tale of how epidemiology grew into global health. The book is organized around ten lessons Sommer learned as his career took him around the world, and within these lessons he explains how the modern era of public health research was born. Three themes emerge from Sommer's story: the duty to help your fellow human beings by traveling to places where there are problems; the knowledge that data-driven research is the key to improving public health; and the need to persevere with sensitivity and strength when science and cultural or sociological forces clash. Nothing in this compelling, sometimes controversial, history is glossed over, as the book’s goal is to explain when and why public health efforts triumph or fail. Readers will travel to Bangladesh, Iran, Indonesia, South America, and the Caribbean, where they will learn about spreading epidemics, the aftermath of storms, and vexing epidemiological problems. Sommer reveals the inner politics of world health decisions and how difficult it can be to garner support for new solutions. Triumph, tragedy, frustration, and elation await those who set off on careers in public health, and Ten Lessons in Public Health is destined to become a classic book that puts the field into perspective.
Ten Materials That Shaped Our World
by M. Grant NortonThis book examines ten materials—flint, clay, iron, gold, glass, cement, rubber, polyethylene, aluminum, and silicon—explaining how they formed, how we discovered them, why they have the properties they do, and how they have transformed our lives. Since the dawn of the Stone Age, we have shaped materials to meet our needs and, in turn, those materials have shaped us.The fracturing of flint created sharp, curved surfaces that gave our ancestors an evolutionary edge. Molding clay and then baking it in the sun produced a means of recording the written word and exemplified human artistic imagination. As our ability to control heat improved, earthenware became stoneware and eventually porcelain, the most prized ceramic of all. Iron cast at high temperatures formed the components needed for steam engines, locomotives, and power looms—the tools of the Industrial Revolution. Gold has captivated humans for thousands of years and has recently found important uses in biology, medicine, and nanotechnology. Glass shaped into early and imperfect lenses not only revealed the microscopic world of cells and crystals, but also allowed us to discover stars and planets beyond those visible with the naked eye. Silicon revolutionized the computer, propelling us into the Information Age and with it our interconnected social networks, the Internet of Things, and artificial intelligence.Written by a materials scientist, this book explores not just why, but also how certain materials came to be so fundamental to human society. This enlightening study captivates anyone interested in learning more about the history of humankind, our ingenuity, and the materials that have shaped our world.
Ten Steps to Complex Learning: A Systematic Approach to Four-Component Instructional Design
by Jeroen J. van Merriënboer Paul A. Kirschner Jimmy FrèrejeanTen Steps to Complex Learning presents a path from an educational problem to a solution in a way that students, design practitioners, and researchers can understand and easily use. Students in the fields of instructional design and the learning sciences can use this book to broaden their knowledge of the design of training programs for complex learning. Practitioners can use this book as a reference guide to support their design of courses, curricula, or environments for complex learning.Driven by the acclaimed Four-Component Instructional Design (4C/ID) model, this fourth edition of Ten Steps to Complex Learning is fully revised with the latest research, featuring over 50 new references. The entire book has been updated for clarity, incorporating new colorful graphics and diagrams, and the guiding example used throughout the book is replaced with a training blueprint for the complex skill of “producing video content.” The closing chapter explores the future development of the Ten Steps, discussing changes in teacher roles and the influence of artificial intelligence.
Ten Technologies to Save the Planet
by Chris GoodallRespected, authoritative, award-winning author Chris Goodall tackles global warming reversal in this engaging and balanced book. Ten Technologies to Save the Planet - popular science writing at its most crucial - is arguably the most readable and comprehensive overview of large-scale solutions to climate change available. Goodall profiles ten technologies with the potential to slash global greenhouse emissions, explaining how they work and telling the stories of the inventors, scientists, and entrepreneurs who are driving them forward. Some of Goodall's selections, such as the electric car, are familiar. Others, like algae and charcoal, are more surprising. Illustrated with black-and-white photos and simple charts, Ten Technologies to Save the Planet combines cutting-edge analysis with straightforward explanations about pros and cons, and debunks myths along the way.
Tennessee’s Great Copper Basin (Images of America)
by Harriet FryeIn 1843, the discovery of copper in Tennessee’s far southeastern corner sparked a transformation in the isolated area known to geologists as the Ducktown Basin. By 1854, the first shafts had been sunk, and 28 mining companies had been incorporated for the purpose of exploring the possible wealth of the Ducktown district. For generations to come, the families of mine captains from Cornwall, executives and engineers from the industrial North, emigrants from Europe and the Middle East, miners drawn by the promise of jobs, and farmers who had bought land for pennies an acre in the 1830s would sit side by side in the same small churches and send their children to the same small schools. In the process, they would create a kind of culture that few small Southern communities had ever seen. This book, illustrated with photographs gathered from the scrapbooks and attics of their descendants, tells their story.
Tensegrity Structures
by Jing Yao Zhang Makoto OhsakiTo facilitate a deeper understanding of tensegrity structures, this book focuses on their two key design problems: self-equilibrium analysis and stability investigation. In particular, high symmetry properties of the structures are extensively utilized. Conditions for self-equilibrium as well as super-stability of tensegrity structures are presented in detail. An analytical method and an efficient numerical method are given for self-equilibrium analysis of tensegrity structures: the analytical method deals with symmetric structures and the numerical method guarantees super-stability. Utilizing group representation theory, the text further provides analytical super-stability conditions for the structures that are of dihedral as well as tetrahedral symmetry. This book not only serves as a reference for engineers and scientists but is also a useful source for upper-level undergraduate and graduate students. Keeping this objective in mind, the presentation of the book is self-contained and detailed, with an abundance of figures and examples.
Tensegrity Structures Design Methods
by Oren Vilnay Leon Chernin Margi VilnayTensegrity structures are pre-stressed systems of cables and bars in which no bar is connected to the other and the structure has no continuous rigid skeleton. This general introduction presents an original general method for the design of tensegrity structures, the first configurations of which were found by trial and error. The book begins with two-dimensional tensegrity structures, particularly tensegrity nets, tensegrity chains, tensegrity rings and tensegrity arches. These are then developed to original configurations of spatial tensegrity structures such as tensegrity slabs, primitive spatial tensegrity arches, and primitive tensegrity domes, as well as more elaborate spatial tensegrity structures such as tensegrity cylindrical shells, slim tensegrity domes, tensegrity vaults, and tensegrity caps. Presents a robust new approach to the design of tensegrity structures Extends tensegrity structures to new three-dimensional configurations Tensegrity Structures Design Methods suits structural, civil, and mechanical engineers and architects, as well as graduate students. Oren Vilnay is Professor Emeritus and was founder and head of the Department of Structural Engineering at Ben Gurion University Israel. He is also former head of the Structural Engineering Section at Technion—IsraelInstitute of Technology. Leon Chernin is Lecturer at the University of Dundee. He was granted a PhD in Structural Engineering from the Technion—Israel Institute of Technology. His research activities encompass both physical testing and numericalmodelling. Margi Vilnay is Senior Lecturer at the University of Dundee. She was granted a PhD in Structural Engineering from Heriot-Watt University. She is a chartered member of the Institution of Civil Engineers and the first woman to be elected Vice-Chair of COMEC (Council of Military Education Committees).
Tensegrity Systems: Basic Concepts, Mechanical Metamaterials, Biotensegrity (CISM International Centre for Mechanical Sciences #2)
by Fernando Fraternali Julian J. RimoliThis book illustrates the unique mechanical behaviors of tensegrity systems and their applications in mechanical metamaterials, space structures, and biomechanical models. It demonstrates that by controlling the mechanical response of tensegrity structures through internal and external prestress, it is possible to adjust the speed of mechanical waves within these systems, creating tunable bandgap structures. Furthermore, the geometrically nonlinear response exhibited by several tensegrity systems allows for the support of either compression or rarefaction solitary wave dynamics. These behaviors can be effectively utilized to design novel devices capable of focusing mechanical waves in narrow regions of space, as well as innovative impact protection systems. After an introduction to the basic concepts and calculation methods for tensegrity systems and their minimal-mass design, the chapters explore the metamaterial behaviors of tensegrity systems associated with bandgap and solitary wave dynamics; present a mechanical model of flexible tensegrities, illustrating how harnessing the buckling of bars in such systems can result in structures with exceptional energy absorption capabilities, suitable for applications such as planetary landers or lattice metamaterials; and discuss the extreme mechanical behaviors achievable in tensegrity-inspired lattice structures exhibiting both soft and stiff deformation modes. The last chapters address the multifaceted field of biotensegrity, and provide an overview of current rapid prototyping techniques for tensegrity systems, along with a discussion of open questions and research opportunities in the field.
Tensor Algebra and Tensor Analysis for Engineers
by Mikhail ItskovThere is a large gap between the engineering course in tensor algebra on the one hand and the treatment of linear transformations within classical linear algebra on the other hand. The aim of this modern textbook is to bridge this gap by means of the consequent and fundamental exposition. The book primarily addresses engineering students with some initial knowledge of matrix algebra. Thereby the mathematical formalism is applied as far as it is absolutely necessary. Numerous exercises are provided in the book and are accompanied by solutions, enabling self-study. The last chapters of the book deal with modern developments in the theory of isotropic and anisotropic tensor functions and their applications to continuum mechanics and are therefore of high interest for PhD-students and scientists working in this area. This third edition is completed by a number of additional figures, examples and exercises. The text and formulae have been revised and improved where necessary.
Tensor Algebra and Tensor Analysis for Engineers: With Applications To Continuum Mechanics (Mathematical Engineering Ser.)
by Mikhail ItskovThis is the fifth and revised edition of a well-received textbook that aims at bridging the gap between the engineering course of tensor algebra on the one hand and the mathematical course of classical linear algebra on the other hand. In accordance with the contemporary way of scientific publication, a modern absolute tensor notation is preferred throughout. The book provides a comprehensible exposition of the fundamental mathematical concepts of tensor calculus and enriches the presented material with many illustrative examples. As such, this new edition also discusses such modern topics of solid mechanics as electro- and magnetoelasticity. In addition, the book also includes advanced chapters dealing with recent developments in the theory of isotropic and anisotropic tensor functions and their applications to continuum mechanics. Hence, this textbook addresses graduate students as well as scientists working in this field and in particular dealing with multi-physical problems. In each chapter numerous exercises are included, allowing for self-study and intense practice. Solutions to the exercises are also provided.
Tensor Analysis and Elementary Differential Geometry for Physicists and Engineers (Mathematical Engineering #21)
by Hung Nguyen-Schäfer Jan-Philip SchmidtThis book presents tensors and differential geometry in a comprehensive and approachable manner, providing a bridge from the place where physics and engineering mathematics end, and the place where tensor analysis begins. Among the topics examined are tensor analysis, elementary differential geometry of moving surfaces, and k-differential forms. The book includes numerous examples with solutions and concrete calculations, which guide readers through these complex topics step by step. Mindful of the practical needs of engineers and physicists, book favors simplicity over a more rigorous, formal approach. The book shows readers how to work with tensors and differential geometry and how to apply them to modeling the physical and engineering world.The authors provide chapter-length treatment of topics at the intersection of advanced mathematics, and physics and engineering: • General Basis and Bra-Ket Notation• Tensor Analysis• Elementary Differential Geometry• Differential Forms• Applications of Tensors and Differential Geometry• Tensors and Bra-Ket Notation in Quantum MechanicsThe text reviews methods and applications in computational fluid dynamics; continuum mechanics; electrodynamics in special relativity; cosmology in the Minkowski four-dimensional space time; and relativistic and non-relativistic quantum mechanics.Tensor Analysis and Elementary Differential Geometry for Physicists and Engineers benefits research scientists and practicing engineers in a variety of fields, who use tensor analysis and differential geometry in the context of applied physics, and electrical and mechanical engineering. It will also interest graduate students in applied physics and engineering.
Tensor Analysis and Elementary Differential Geometry for Physicists and Engineers (Mathematical Engineering)
by Hung Nguyen-Schäfer Jan-Philip SchmidtTensors and methods of differential geometry are very useful mathematical tools in many fields of modern physics and computational engineering including relativity physics, electrodynamics, computational fluid dynamics (CFD), continuum mechanics, aero and vibroacoustics and cybernetics.This book comprehensively presents topics, such as bra-ket notation, tensor analysis and elementary differential geometry of a moving surface. Moreover, authors intentionally abstain from giving mathematically rigorous definitions and derivations that are however dealt with as precisely as possible. The reader is provided with hands-on calculations and worked-out examples at which he will learn how to handle the bra-ket notation, tensors and differential geometry and to use them in the physical and engineering world. The target audience primarily comprises graduate students in physics and engineering, research scientists and practicing engineers.
Tensor Calculus and Analytical Dynamics (Engineering Mathematics Ser. #4)
by John G. PapastavridisTensor Calculus and Analytical Dynamics provides a concise, comprehensive, and readable introduction to classical tensor calculus - in both holonomic and nonholonomic coordinates - as well as to its principal applications to the Lagrangean dynamics of discrete systems under positional or velocity constraints. The thrust of the book focuses on formal structure and basic geometrical/physical ideas underlying most general equations of motion of mechanical systems under linear velocity constraints.Written for the theoretically minded engineer, Tensor Calculus and Analytical Dynamics contains uniquely accessbile treatments of such intricate topics as: tensor calculus in nonholonomic variables Pfaffian nonholonomic constraints related integrability theory of FrobeniusThe book enables readers to move quickly and confidently in any particular geometry-based area of theoretical or applied mechanics in either classical or modern form.
Tensor Calculus and Applications: Simplified Tools and Techniques (Mathematics and its Applications)
by Bhaben KalitaThe aim of this book is to make the subject easier to understand. This book provides clear concepts, tools, and techniques to master the subject -tensor, and can be used in many fields of research. Special applications are discussed in the book, to remove any confusion, and for absolute understanding of the subject. In most books, they emphasize only the theoretical development, but not the methods of presentation, to develop concepts. Without knowing how to change the dummy indices, or the real indices, the concept cannot be understood. This book takes it down a notch and simplifies the topic for easy comprehension. Features Provides a clear indication and understanding of the subject on how to change indices Describes the original evolution of symbols necessary for tensors Offers a pictorial representation of referential systems required for different kinds of tensors for physical problems Presents the correlation between critical concepts Covers general operations and concepts
Tensor Calculus and Differential Geometry for Engineers: With Solved Exercises
by Peter Wriggers Shahab SahraeeThe book contains the basics of tensor algebra as well as a comprehensive description of tensor calculus, both in Cartesian and curvilinear coordinates. Some recent developments in representation theorems and differential forms are included. The last part of the book presents a detailed introduction to differential geometry of surfaces and curves which is based on tensor calculus. By solving numerous exercises, the reader is equipped to properly understand the theoretical background and derivations. Many solved problems are provided at the end of each chapter for in-depth learning. All derivations in this text are carried out line by line which will help the reader to understand the basic ideas. Each figure in the book includes descriptive text that corresponds with the theoretical derivations to facilitate rapid learning.
Tensor Computation for Data Analysis
by Ce Zhu Yipeng Liu Jiani Liu Zhen LongTensor is a natural representation for multi-dimensional data, and tensor computation can avoid possible multi-linear data structure loss in classical matrix computation-based data analysis. This book is intended to provide non-specialists an overall understanding of tensor computation and its applications in data analysis, and benefits researchers, engineers, and students with theoretical, computational, technical and experimental details. It presents a systematic and up-to-date overview of tensor decompositions from the engineer's point of view, and comprehensive coverage of tensor computation based data analysis techniques. In addition, some practical examples in machine learning, signal processing, data mining, computer vision, remote sensing, and biomedical engineering are also presented for easy understanding and implementation. These data analysis techniques may be further applied in other applications on neuroscience, communication, psychometrics, chemometrics, biometrics, quantum physics, quantum chemistry, etc. The discussion begins with basic coverage of notations, preliminary operations in tensor computations, main tensor decompositions and their properties. Based on them, a series of tensor-based data analysis techniques are presented as the tensor extensions of their classical matrix counterparts, including tensor dictionary learning, low rank tensor recovery, tensor completion, coupled tensor analysis, robust principal tensor component analysis, tensor regression, logistical tensor regression, support tensor machine, multilinear discriminate analysis, tensor subspace clustering, tensor-based deep learning, tensor graphical model and tensor sketch. The discussion also includes a number of typical applications with experimental results, such as image reconstruction, image enhancement, data fusion, signal recovery, recommendation system, knowledge graph acquisition, traffic flow prediction, link prediction, environmental prediction, weather forecasting, background extraction, human pose estimation, cognitive state classification from fMRI, infrared small target detection, heterogeneous information networks clustering, multi-view image clustering, and deep neural network compression.
Tensor Product Model Transformation in Polytopic Model-Based Control (Automation and Control Engineering)
by Péter Baranyi Yeung Yam Péter VárlakiTensor Product Model Transformation in Polytopic Model-Based Control offers a new perspective of control system design. Instead of relying solely on the formulation of more effective LMIs, which is the widely adopted approach in existing LMI-related studies, this cutting-edge book calls for a systematic modification and reshaping of the polytopic convex hull to achieve enhanced performance. Varying the convexity of the resulting TP canonical form is a key new feature of the approach. The book concentrates on reducing analytical derivations in the design process, echoing the recent paradigm shift on the acceptance of numerical solution as a valid form of output to control system problems. The salient features of the book include: Presents a new HOSVD-based canonical representation for (qLPV) models that enables trade-offs between approximation accuracy and computation complexity Supports a conceptually new control design methodology by proposing TP model transformation that offers a straightforward way of manipulating different types of convexity to appear in polytopic representation Introduces a numerical transformation that has the advantage of readily accommodating models described by non-conventional modeling and identification approaches, such as neural networks and fuzzy rules Presents a number of practical examples to demonstrate the application of the approach to generate control system design for complex (qLPV) systems and multiple control objectives. The authors’ approach is based on an extended version of singular value decomposition applicable to hyperdimensional tensors. Under the approach, trade-offs between approximation accuracy and computation complexity can be performed through the singular values to be retained in the process. The use of LMIs enables the incorporation of multiple performance objectives into the control design problem and assurance of a solution via convex optimization if feasible. Tensor Product Model Transformation in Polytopic Model-Based Control includes examples and incorporates MATLAB® Toolbox TPtool. It provides a reference guide for graduate students, researchers, engineers, and practitioners who are dealing with nonlinear systems control applications.
Tensor Properties of Crystals
by D LovettThe use of single crystals for scientific and technological applications is now widespread in solid-state physics, optics, electronics, materials science, and geophysics. An understanding of the variation of physical properties with crystalline direction is essential to maximize the performance of solid-state devices.Written from a physical viewpoint and avoiding advanced mathematics, Tensor Properties of Crystals provides a concise introduction to the tensor properties of crystals at a level suitable for advanced undergraduate and graduate students. While retaining the successful basic format of the well-known first edition, this second edition brings the material up to date with the latest developments in nonlinear optics and modulated structures. Because of the increasing importance of nonlinear optics, a new chapter on optoelectronics has been added. This edition also includes a short discussion on incommensurate modulated structures in the final chapter because they are relevant to high temperature superconductors and to ferroelectric and ferromagnetic materials. The book extensively contains diagrams, worked examples, and problems with answers throughout.
Tensor-Based Dynamical Systems: Theory and Applications (Synthesis Lectures on Mathematics & Statistics)
by Can ChenThis book provides a comprehensive review on tensor algebra, including tensor products, tensor unfolding, tensor eigenvalues, and tensor decompositions. Tensors are multidimensional arrays generalized from vectors and matrices, which can capture higher-order interactions within multiway data. In addition, tensors have wide applications in many domains such as signal processing, machine learning, and data analysis, and the author explores the role of tensors/tensor algebra in tensor-based dynamical systems where system evolutions are captured through various tensor products. The author provides an overview of existing literature on the topic and aims to inspire readers to learn, develop, and apply the framework of tensor-based dynamical systems.