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Books > Science & Mathematics > Mathematics > General
Explore the hidden powers of math that shape us, influencing everything from our sense of justice to our perception of beauty. Archaeologists decoding ancient messages. Epidemiologists analyzing the spread of a contagious disease. African Americans seeking full enfranchisement in a society that has worked to exclude them. A family doing puzzles at the kitchen table. These scenarios seem to have little in common. But in fact, each of these groups is faced with a multifaceted challenge-and each is using math to solve it. In Supermath, popular author and educator Anna Weltman showcases the incredible power of mathematics when people apply it outside of the world of pure numbers, introducing it into the realms of science, politics, history, education, and art. Her stories share how math has protected us from war and disease, helped us communicate across time and space, and made the world a fairer and more beautiful place. But Weltman also warns us that dangers arise when the transformative might of numbers goes unchecked. Mathematics has been used to mistranslate records, silence indigenous communities, create gerrymandered voting districts, close the gates of higher education. Sometimes, math can blind those who wield it to its limitations, causing those who would deploy it to solve problems to instead create more. Drawing on history and current events, Weltman tackles five fascinating questions: Is math the universal language? Can math eliminate bias? Can math predict the next move? Can math open doors? And finally, What is genuine beauty? Supermath is an enlightening book that pursues complex lines of mathematical thought while providing a fascinating lens into global problems and human culture as a whole.
PRACTICAL PROBLEMS IN MATHEMATICS FOR HEALTH SCIENCE CAREERS, 3RD EDITION familiarizes readers in Allied Health programs with essential math processes using real-life examples and straightforward instruction. Using a word problem format, this text starts with simple examples and progresses to complex paradigms to ensure readers are engaged throughout each chapter. In addition to basic applications with whole numbers, fractions, and decimals, problems involving medications, intravenous solutions, and other emulsions information are also featured on common graphs, charts, and gauges. Thoroughly updated and expanded, Practical Problems In Mathematics For Health Science Careers, 3rd Edition provides a strong foundation in the essential math processes used in all areas of health care.
The ever-growing applications and richness of approaches to the Riordan group is captured in this comprehensive monograph, authored by those who are among the founders and foremost world experts in this field. The concept of a Riordan array has played a unifying role in enumerative combinatorics over the last three decades. The Riordan arrays and Riordan group is a new growth point in mathematics that is both being influenced by, and continuing its contributions to, other fields such as Lie groups, elliptic curves, orthogonal polynomials, spline functions, networks, sequences and series, Beal conjecture, Riemann hypothesis, to name several. In recent years the Riordan group has made links to quantum field theory and has become a useful tool for computer science and computational chemistry. We can look forward to discovering further applications to unexpected areas of research. Providing a baseline and springboard to further developments and study, this book may also serve as a text for anyone interested in discrete mathematics, including combinatorics, number theory, matrix theory, graph theory, and algebra.
Takes an applied approach to communication ethics emphasizing the development of personal standards for use in personal, professional, and social life Core textbook for communication and media ethics courses 3rd edition features new content focused on digital communication, trauma, partisan political divisions, and the COVID-19 pandemic Online resources for instructors include instructor's manual including section on online teaching, sample assignments, and PowerPoint slides
Wall Street Journal bestseller Watch your most innovative ideas take flight by overcoming the forces that resist change The Human Element is for anyone who wants to introduce a new idea or innovation into the world. Most marketers, innovators, executives, activists, or anyone else in the business of creating change, operate on a deep assumption. It is the belief that the best (and perhaps only) way to convince people to embrace a new idea is to heighten the appeal of the idea itself. We instinctively believe that if we add enough value, people will eventually say "yes." This reflex leads us down a path of adding features and benefits to our ideas or increasing the sizzle of our messaging - all in the hope of getting others on board. We call this instinct the "Fuel-based mindset." The Fuel-based mindset explains so much of what we do, from adding countless trivial features to software, to bolting a sixth blade onto a shaving razor. By focusing on Fuel, innovators neglect the other half of the equation - the psychological Frictions that oppose change. Frictions create drag on innovation. And though they are rarely considered, overcoming these Frictions is essential for bringing new ideas into the world. The Human Element highlights the four Frictions that operate against innovation. Readers will discover: Why their best ideas and initiatives often get rejected - despite their undeniable value How to disarm the forces of resistance that act against change How to transform the very Frictions that hold us back into catalysts for change Perfect for business leaders, product managers, educators, and anyone else who seeks to bring new and exciting ideas to life, The Human Element is an indispensable resource to help people overcome the powerful forces of human nature that instinctively resist change.
The pendulum is a unique physical system which exhibits remarkably
varied and complex behavior under many different conditions. It is
also a system which, in its many manifestations, has left a
significant imprint on human thought and culture. Using graphs,
figures, and narrative to explain scientific ideas and models,
Gregory Baker gives a lucid account of the physics of the pendulum,
showing the reader how the context of the pendulum progresses over
four centuries from that of a simple system of classical physics,
to that of a chaotic system, and eventually to that of a modern
quantum system. He also describes its fascinating presence in
cultural history, from its role in timekeeping and measurements of
the earth to its importance as a literary symbol of doom.
The book reviews a large number of 1- and 2-dimensional equations that describe nonlinear phenomena in various areas of modern theoretical and mathematical physics. It is meant, above all, for physicists who specialize in the field theory and physics of elementary particles and plasma, for mathe maticians dealing with nonlinear differential equations, differential geometry, and algebra, and the theory of Lie algebras and groups and their representa tions, and for students and post-graduates in these fields. We hope that the book will be useful also for experts in hydrodynamics, solid-state physics, nonlinear optics electrophysics, biophysics and physics of the Earth. The first two chapters of the book present some results from the repre sentation theory of Lie groups and Lie algebras and their counterpart on supermanifolds in a form convenient in what follows. They are addressed to those who are interested in integrable systems but have a scanty vocabulary in the language of representation theory. The experts may refer to the first two chapters only occasionally. As we wanted to give the reader an opportunity not only to come to grips with the problem on the ideological level but also to integrate her or his own concrete nonlinear equations without reference to the literature, we had to expose in a self-contained way the appropriate parts of the representation theory from a particular point of view."
Here, the authors strive to change the way logic and discrete math are taught in computer science and mathematics: while many books treat logic simply as another topic of study, this one is unique in its willingness to go one step further. The book traets logic as a basic tool which may be applied in essentially every other area.
'The physical form of this new title is pleasing, including good paper, readable font, and durable binding ... The book is not a collection of practical ideas. Rather, it is intended for those curious about pure mathematical tidbits. The flavor is light, as opposed to pedantic. Among the numerous books of this type, this title is significantly better than most. It should be considered for private collections and for libraries that can afford to serve a small, unique readership.Summing Up: Recommended. General readers.'CHOICEThis book demonstrates to the general audience that mathematics can be entertaining and fun, rather than the sad reputation it has gained over decades from uninspired school instruction that is often devoid of enrichment or motivational considerations.The book is designed in such a way that a reader will need almost no special preparation in mathematics, but to recall some of the most basic concepts that were taught at the lower-secondary-grade level.Yet, by the same token, the book will hopefully open up doors for those less motivated in mathematics - to interest readers to investigate some of the topics presented and thereby enhance their knowledge of mathematics - something most general readers will not initially find possible, but we hope will be an end product of this book.
The Summer School has been dedicated to one of the proponents and ?rst Chairman of the Strategy Board of MACSI-net, the late Jacques Louis Lions (see the dedication by Roland Glowinski). MACSI-net is a European Network of Excellence, where both enterprises and university institutions co-operate to solve challenging problems to their mutual bene?t. In particular the network focuses on strategies to enhance interactions between industry and academia. The aim is to help industry (in particular SMEs) alert academia about industrial needs in terms of advanced mathematical and computational methods and tools. The network is mul- disciplinary oriented, combining the power of applied mathematics, scienti?c computing and engineering, for modeling and simulation. It was set up by a joint e?ort of ECCOMAS and ECMI European associations. Thisparticularevent,occurredduringMarch17-22,2003,wasajointe?ort ofthe TrainingCommittee (chairedby VC)andIndustrialRelationsComm- tee (chairedby JP)to alert both Academia and Industry about the increasing role of Multidisciplinary Methods and Tools for the design of complex pr- uctsinvariousareasofindustrialinterest.Thisincreasingcomplexityisdriven by societal constraints to be satis? ed in a simultaneous and a?ordable way. The mastering of complexity implies the sharing of di?erent tools by di?erent actors which require much higher level of communication between culturally di?erent people. The school o?ered to young researchers the opportunity to be exposed to the presentation of real industrial and societal problems and the relevant innovative methods used; the need of further contributions from mathematics to improve or provide better solutions had also been considered.
All the SAT math problem-solving practice you'll need! Achieve your highest score with 500 SAT Math Questions to Know by Test Day, Third Edition. This book is packed with the latest SAT style questions covering all the essential math topics you'll see on the exam, accompanied by answers and detailed explanations for clarity. It's the perfect way to sharpen your skills and build your confidence for test day. Organized by subject for easy reference, 500 Math Questions to Know by Test Day provides excellent practice to help you make the most of your review time. With small bits of information presented for quick and easy review, this essential study guide is helpful for all types of students, whether you're looking for a thorough refresh of topics or need extra help understanding specific question types. Features: 500 SAT math questions and answers organized by subject Bonus 20-question diagnostic quiz tests your knowledge upfront on different SAT math topics Written to parallel the topics and format of the latest SAT math questions Thorough answer explanations with step-by-step solutions Ideal and effective practice to help you build the skills you need Information on test design includes test categories and question-types Small bits of practice make review simple, allowing you to go at your own pace and track your progress accordingly
The soul of mathematics is the practice of skeptical inquiry: asking how and why things work, experimenting, exploring, and discovering. Estimation, analysis, computation, conjecture, and proof are the mathematical path to uncovering truth and we can use them in nearly every human pursuit. In this thoroughly charming and beguiling book, Shai Simonson applies mathematical tools in a variety of contexts that arise in everyday life to prove his claim that math is, literally, everywhere. Simonson applies his mathematical cast of mind to hiking, birthday parties, carnival games, lock picking, and kite flying. We see unexpected depths and connections when we look in the ""wrong"" places in the right way. No advanced mathematical knowledge is required to travel with Simonson and share in his investigations. All a reader needs is an open and curious mind, an eagerness to ask questions, and a willingness to think deeply and carefully about seemingly mundane things. There is wonder and joy in quotidian life with Simonson as your guide.
The theory developed for 2 4-additive codes is the starting point for much generalization about codes over mixed alphabets. They have opened a new, emergent area of research. The techniques used for 2 4-linear codes are being generalized and applied to more general codes. By example, these codes have contributed to the classification of many nonlinear codes. Moreover, they can be considered as the starting point of many different generalizations given over mixed alphabets, thereby representing a useful area of research. Since 2010, more than 30 papers have been published about the codes considered in the book, which includes important classes of binary codes (1-perfect, Hadamard, etc.) that are not linear in general. For example, much recent research has shown the application of the techniques described for the family of cyclic 2 4-linear codes. Topics and Features: Examines everything from the basic definitions to very advanced results Provides numerous examples, succinctly and comprehensively gathering and using the relevant information Includes examples using commands from a new Magma package, developed mostly by the same authors Proposes algorithms, for instance to describe coding and decoding strategies This unique volume will be eminently suitable for researchers working on coding theory over rings, especially over mixed alphabets. Experts will find commands and algorithms that will be useful in the generalization to codes over mixed alphabets. Additionally, by outlining the basic theory of codes over mixed alphabets and providing numerous examples, the book will be useful to researchers wanting to be introduced to the topic. The authors are all affiliated with the Dept. of Information and Communications Engineering at the Universitat Autonoma de Barcelona, Spain. Joaquim Borges and Cristina Fernandez-Cordoba are Associate Professors, Jaume Pujol is a now retired Associate Professor, Josep Rifa is Professor Emeritus, and Merce Villanueva is Associate Professor.
It is now possible to enter a chemistry degree course at many UK
universities without any formal maths training beyond age 16.
Addressing this deficiency requires students to take additional
mathematics training when entering university, yet the relevance of
maths to chemistry is often poorly appreciated by chemistry
students. In addition, many service courses are either too
abstract, or aimed at physicists and engineers, for students of
chemistry, who are not inclined to study mathematical techniques
"per se and "do not make the connection between the maths they are
taught and the chemistry they want to study. Based on the successful "at a Glance" approach, with integrated double page presentations explaining the mathematics required by undergraduate students of chemistry, set in context by detailed chemical examples, this book will be indispensable to all students of chemistry. By bringing the material together in this way the student is shown how to apply the maths and how it relates to familiar concepts in chemistry. By including problems (with answers) on each presentation, the student is encouraged to practice both the mathematical manipulations and the application to problems in chemistry. More detailed chemical problems at the end of each topic illustrate the range of chemistry to which the maths is relevant and help the student acquire sufficient confidence to apply it when necessary.
This book discusses and chronicles various types of manufacturing processes, including casting and molding, machining, joining, shearing, and forming. It refers to repetitive, discrete, job shop, process manufacturing (continuous), and process manufacturing (batch). It also offers detailed examples from the nuclear, electronic, plastics, adhesives, inks, packaging, chemical, and pharmaceutical industries. Advanced Manufacturing Operations Technologies: Principles, Applications, and Design Correlations in Chemical Engineering Fields of Practice fills the gap in the connection between production and regulated applications in several industries. It highlights established concepts and provides a new fresh outlook by concentrating on and creating linkages in the implementation of practices in manufacturing and safe clean energy systems. Case studies for the overall design, installations, and construction of manufacturing operations in various industries as well as the standard operating procedures are offered. The book also discusses the correlation between design strategies including step-by-step processes to ensure the reliability, safety, and efficacy of products. The fundamentals of controlled techniques, quality by design, risk assessment, and management are covered in support of operations applications and continuous improvement. This comprehensive book is helpful to all professionals, students, and academicians in many scientific disciplines that utilize fundamental principles of chemical engineering. It is engineering-driven and will be of use to those in industrial and manufacturing, chemical, biochemical, mechanical engineering, and automated control systems fields.
Over the past few decades there has been increased interest in how students and teachers think and learn about negative numbers from a variety of perspectives. In particular, there has been debate about when integers should be taught and how to teach them to best support students' learning. This book brings together recent work from researchers to illuminate the state of our understanding about issues related to integer addition and subtraction with a goal of highlighting how the variety of perspectives support each other or contribute to the field in unique ways. In particular, this book focuses on three main areas of integer work: students' thinking, models and metaphors, and teachers' thinking. Each chapter highlights a theoretically guided study centered on integer addition and subtraction. Internationally known scholars help connect the perspectives and offer additional insights through section commentaries. This book is an invaluable resource to those who are interested in mathematics education and numerical thinking.
This book is a study of group theoretical properties of two dis parate kinds, firstly finiteness conditions or generalizations of fini teness and secondly generalizations of solubility or nilpotence. It will be particularly interesting to discuss groups which possess properties of both types. The origins of the subject may be traced back to the nineteen twenties and thirties and are associated with the names of R. Baer, S. N. Cernikov, K. A. Hirsch, A. G. Kuros, 0.]. Schmidt and H. Wie landt. Since this early period, the body of theory has expanded at an increasingly rapid rate through the efforts of many group theorists, particularly in Germany, Great Britain and the Soviet Union. Some of the highest points attained can, perhaps, be found in the work of P. Hall and A. I. Mal'cev on infinite soluble groups. Kuras's well-known book "The theory of groups" has exercised a strong influence on the development of the theory of infinite groups: this is particularly true of the second edition in its English translation of 1955. To cope with the enormous increase in knowledge since that date, a third volume, containing a survey of the contents of a very large number of papers but without proofs, was added to the book in 1967."
Advances in Computers, Volume 118, the latest volume in this innovative series published since 1960, presents detailed coverage of new advancements in computer hardware, software, theory, design and applications. Chapters in this updated release include Introduction to non-volatile memory technologies, The emerging phase-change memory, Phase-change memory architectures, Inter-line level schemes for handling hard errors in PCMs, Handling hard errors in PCMs by using intra-line level schemes, and Addressing issues with MLC Phase-change Memory.
As data is an important asset for any organization, it is essential to apply semantic technologies in data science to fulfill the need of any organization. This volume of a two-volume handbook set provides a roadmap for new trends and future developments of data science with semantic technologies. Data Science with Semantic Technologies: New Trends and Future Developments highlights how data science enables the user to create intelligence through these technologies. In addition, this book offers the answers to various questions such as can semantic technologies be able to facilitate data science? Which type of data science problems can be tackled by semantic technologies? How can data scientists get benefited from these technologies? What is the role of semantic technologies in data science? What is the current progress and future of data science with semantic technologies? Which types of problems require the immediate attention of the researchers? What should be the vision 2030 for data science? This volume can serve as an important guide towards applications of data science with semantic technologies for the upcoming generation and thus becomes a unique resource for scholars, researchers, professionals, and practitioners in this field.
Gone are the days when data was interlinked with related data by humans and to find insights coherently, human interpretation was required. Data is no more just data. It is now considered a Thing or Entity or Concept- to bring the meaning to it, so that a machine not only understands the concept but also extrapolates the way humans do. Data Science with Semantic Technologies: Deployment and Exploration volume of a two-volume handbook set provides a roadmap for the deployment of semantic technologies in the field of data science and enables the user to create intelligence through these technologies by exploring the opportunities and eradicating the challenges in the current and future time frame. In addition, this book offers the answer to various questions like What makes a technology semantic as opposed to other approaches to data science? What is knowledge data science? How does knowledge data science relate to other fields? This book explores the optimal use of these technologies to provide the highest benefit to the user under one comprehensive source and title. As there is no dedicated book available in the market on this topic at this time, this proposed new book becomes a unique and only resource for scholars, researchers, data scientists, professionals, and practitioners. This volume can serve as an important guide towards applications of data science with semantic technologies for the upcoming generation and thus becomes a unique resource for scholars, researchers, professionals, and practitioners in this field. |
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