-Explores the development of elementary students’ understanding of the mathematics of measure, demonstrating how measurement can serve as an anchor for supporting a deeper understanding of future mathematics learning, as well as learning in other STEM disciplines. -Describes a learning progression built on benchmarks of student learning about measure in length, angle, area, volume, and rational number, exploring related concepts, classroom experiences, and instructional practices at each stage—an approach relevant for scholars, teacher educators, and specialists in math education. -Written by two leading researchers in math and science education, who draw from decades of experience in K-5 classroom research. -Accompanied by online resources developed for practitioners, including instructional guides, examples of student thinking, and other teacher-focused materials, helping clarify how to bring concepts of measure and rational number to life in classrooms.

The book gives an up-to-date account of various approaches availablefor the analysis of infectious disease data. Most of the methods havebeen developed only recently, and for those based on particularlymodern mathematics, details of the computation are carefullyillustrated. Interpretation is discussed at some length and the emphasisthroughout is on making statistical inferences about epidemiologicallyimportant parameters.Niels G. Becker is Reader in Statistics at La Trobe University,Australia.

Rely on the TeeJay method that students have known and loved throughout their school years to deliver the results they want in Higher Maths. This book provides hundreds of practice questions, with progression and consolidation - the core TeeJay philosophy - underpinning every exercise and chapter. - Covers the updated SQA Higher specification, for first assessment in 2019 - Starts with a Chapter Zero that revises all necessary algebraic and numeric skills from National 5 - Every chapter ends with Exam Practice Exercises that mirror the question types in the SQA exams - Every third chapter ends with a cumulative Home Exercise for revision and recall of the topics covered across all chapters up to that point - Includes Specimen Exam Papers 1 and 2 at the end of the book - Answers for all questions are in the back of the book; answers for the Home Exercises and Specimen Exam Papers are available on the TeeJay Maths website

This timely book addresses the increasing need for collaboration, innovation and solution-focussed skills by looking at examples of cutting-edge pedagogy that can inform future directions. Integrating STEM in Higher Education shows how applying digital innovations that can be generated through the implementation of deliberately designed STEM education can change the world for the better. References to over 45 higher education institutions from around the world are included, where integrated approaches are already occurring. A wide range of teaching strategies and assessment methods are discussed, promoting a transformative method in which students can generate new knowledge within coursework and simultaneously develop skills and attributes for their future careers, lives and the world's needs. This book is essential reading for STEM educators, administrators and academic leaders, as well as learning designers in higher education.

The fourth and final volume in this comprehensive set presents the maximum principle as a wide ranging solution to nonclassical, variational problems. This one mathematical method can be applied in a variety of situations, including linear equations with variable coefficients, optimal processes with delay, and the jump condition. As with the three preceding volumes, all the material contained with the 42 sections of this volume is made easily accessible by way of numerous examples, both concrete and abstract in nature.

Lovers of mathematics, young and old, professional and amateur, will enjoy this book. It is mathematics with fun: a collection of attractive problems that will delight and test readers. Many of the problems are drawn from the large number that have entertained and challenged students, guests and colleagues over the years during afternoon tea. The problems have their roots in many areas of mathematics. They vary greatly in difficulty: some are very easy, but most are far from trivial, and quite a few rather hard. Many provide substantial and surprising results that form the tip of an iceberg, providing an introduction to an important topic. To enjoy and appreciate the problems, readers should browse the book choosing one that looks particularly enticing, and think about it on and off for a while before resorting to the hint or the solution. Follow threads for an enjoyable and enriching journey through mathematics.

First published in 1985. Routledge is an imprint of Taylor & Francis, an informa company.

A fascinating book, from a leading maths educator and demystifier, that shows how maths is relevant to our everyday lives. Have you ever wondered how the meter in a taxi works? Or why a lift takes so long to respond to your call? Is there a mathematical secret to making a hit single? And how long is a piece of string? In this fascinating book you will find the answers to these and many other intriguing questions of everyday life. Discover the astonishing '37% rule' for blind dates, how to avoid the gentleman's urinal, and some extraordinary scams that people have devised to get rich quick. Here you will also find the origins of the seven-day week and the seven-note scale, an explanation of why underdogs sometimes win, some clever techniques for detecting fraud, and the reason why epidemics sweep across a nation and disappear just as quickly. How Long is a Piece of String? is the perfect book for anyone who is curious about the way in which maths underlies so much in our everyday lives. Whatever your mathematical ability level, you will find this book informative, thought-provoking and, most of all, fun. Word count: 35,000

Mathematik ist fA1/4r viele angehende Wirtschaftswissenschaftler ein notwendiges A bel, dabei ist es gar nicht so schwer, wie Sie vielleicht denken. In "Wirtschaftsmathematik fA1/4r Dummies" vermitteln Ihnen die Autoren genau die Mathematikkenntnisse, die fA1/4r Sie als Wirtschaftswissenschaftler relevant sind. Ob Gleichungen, Differentiation und Integration, Matrizen oder Zins- und Rentenrechnung - werden Sie zum Experten! Dank Beispielen und Schritt-fA1/4r-Schritt-ErklArungen lernen Sie auA erdem, wie Sie Ihre Kenntnisse in der Praxis anwenden. So kann die nAchste PrA1/4fung kommen!

First Published in 1981. Routledge is an imprint of Taylor & Francis, an informa company.

Preparing for the A-Level Maths exams takes a lot of solid practice, which is precisely what you'll find in this superb Exam Practice Workbook. It covers every topic on the Edexcel Maths A-Level course so students can be sure they're prepared for the big day! Packed with exam-style questions, practice papers, useful tips, mark schemes and step-by-step solutions, this book is the perfect companion for students as they revise for their exams. We've sign-posted Problem-Solving and Modelling questions so they can be sure they're focussing their efforts on the right areas, and there's also a new section of more challenging Problem Solving questions - perfect prep for anything the exams might throw at them! Don't miss our matching A-Level Maths Edexcel Complete Revision & Practice book (9781782948087) for notes and examples on every topic.

Metamaterials offer the possibility to control and manipulate electromagnetic radiation. Spoof surface plasmon metamaterials are the focus of this Element of the Metamaterials Series. The fundamentals of spoof surface plasmons are reviewed, and advances on plasmonic metamaterials based on spoof plasmons are presented. Spoof surface plasmon metamaterials on a wide range of geometries are discussed: from planar platforms to waveguides and localized modes, including cylindrical structures, grooves, wedges, dominos or conformal surface plasmons in ultrathin platforms. The Element closes with a review of recent advances and applications such as Terahertz sensing or integrated devices and circuits.

Features A broad and accessible overview of non-homogeneous Markov chains and systems Fills a significant gap in the current literature A good balance of theory and applications, with advanced mathematical details separated from the main results Many illustrative examples of potential applications from a variety of fields Suitable for use as a course text for postgraduate students of applied probability, or for self-study Potential applications included could open it up to other quantitative areas

'The whizz-kid making maths supercool. . . A brilliant book that takes everything we know (and fear) about maths out of the equation - starting with numbers' The Times 'A cheerful, chatty, and charming trip through the world of mathematics. . . Everyone should read this delightful book' Ian Stewart, author of Do Dice Play God? The only numbers in this book are the page numbers. The three main branches of abstract math - topology, analysis, and algebra - turn out to be surprisingly easy to grasp. Or at least, they are when our guide is a math prodigy. With forthright wit and warm charm, Milo Beckman upends the conventional approach to mathematics, inviting us to think creatively about shape and dimension, the infinite and the infinitesimal, symmetries, proofs, and all how all these concepts fit together. Why is there a million dollar prize for counting shapes? Is anything bigger than infinity? And how is the 'truth' of mathematics actually decided? A vivid and wholly original guide to the math that makes the world tick and the planets revolve, Math Without Numbers makes human and understandable the elevated and hypothetical, allowing us to clearly see abstract math for what it is: bizarre, beautiful, and head-scratchingly wonderful.

Reviews critical issues (e.g., endpoint/margin selection, sample size requirement and complex innovative design). Provides better understanding of statistical concepts and methods which may be used in regulatory review and approval. Clarifies controversial statistical issues in regulatory review and approval. Makes recommendations to accurately and reliably evaluate rare diseases regulatory submissions. Proposes innovative study designs and statistical methods for rare diseases drug development including n-of-1 trial design, adaptive trial design, and master protocols such as platform trials. Provides insight regarding current regulatory guidance on rare diseases drug development such as gene therapy.

This book provides the key technologies involved in an organization's digital transformation. It offers a deep understanding of the key technologies (Blockchain, AI, Big Data, IoT, etc.) involved and details the impact, the decision-making process, and the interplay between technologies, business models, and operations. Managing the Digital Transformation: Aligning Technologies, Business Models, and Operations provides frameworks and models to support digital transformation projects. The book presents the importance of digital transformation as a resilience approach to the operations processes and business models. It covers the essential elements integrating the technology, the organizations, the operations, and supply chain management used to move toward digital transformation. Concepts and mini-case studies are included to provide a deeper understanding of digital transformation projects with a holistic view. The book also examines the role that digital transformation plays with consideration of inter-organizational and intra-organizational capabilities, along with the role of digital culture, the worker's skills, business models, reconfiguration, as well as an operations optimization angle. Practitioners, consultants, governments, managers, scholars, and anyone interested in digital transformation will find the contents of this book very useful.

"Maths for Geoscientists" is an accessible, student-friendly introduction to the essential mathematics required by those students taking degree courses within the Geosciences. Clearly structured throughout, this book carefully guides the student step by step through the mathematics they will encounter and will provide numerous applied examples throughout to enhance students understanding and to place each technique into context.

Opening with a chapter explaining the need for studying mathematics within geosciences the book then moves on to cover algebra, equations, solutions, logarithms and exponentials, statistics and probability, trigonometry, vectors and calculus. The final chapter helps to bring it all together and provides the students with sample projects to test their knowledge. Worked applied examples are included in each chapter along with applied problem questions which are a mix of straightforward maths questions, word questions (developing maths to words), and more involved questions that involve the manipulation and interpretation of real and synthetic data.

The present work is an introductory text in statistics, addressed to researchers and students in the field of material science. It aims to give the readers basic knowledge on how statistical reasoning is exploitable in this field, improving their knowledge of statistical tools and helping them to carry out statistical analyses and to interpret the results. It also focuses on establishing a consistent multivariate workflow starting from a correct design of experiment followed by a multivariate analysis process.

"This book covers all the content needed for Year 2 of the Edexcel Pure Maths A-Level course and is fully up to date for the latest specifications. It has the clearest notes on all the theory for every topic, including annotated worked examples and explanations; hundreds of challenging questions for every chapter, including problem-solving and modelling; two realistic Practice Papers with a complete mark scheme; and a free Online Edition to read on PC, Mac or tablet (use the unique code printed inside the cover to gain full access). For full A-Level Maths coverage don't miss the Year 2 Statistics and Mechanics Student Textbook (9781789088427), and the Year 1 Student Textbooks for Pure Maths (9781789088397) and Statistics and Mechanics (9781789088403). "

"This book covers all the content needed for AS and Year 1 of the Edexcel Pure Maths A-Level course and is fully up to date for the latest specifications. It has crystal-clear notes on all the theory for every topic, including annotated worked examples and explanations; hundreds of challenging questions for every chapter, including problem-solving and modelling; a realistic Practice Paper with a complete mark scheme; and a free Online Edition to read on PC, Mac or tablet (use the unique code printed inside the cover to gain full access). For full A-Level Maths coverage don't miss the Year 1/AS Statistics and Mechanics Student Textbook (9781789088403), and Year 2 Student Textbooks for Pure Maths (9781789088410) and Statistics and Mechanics (9781789088427). "

Master the art and science of data storytelling--with frameworks and techniques to help you craft compelling stories with data. The ability to effectively communicate with data is no longer a luxury in today's economy; it is a necessity. Transforming data into visual communication is only one part of the picture. It is equally important to engage your audience with a narrative--to tell a story with the numbers. Effective Data Storytelling will teach you the essential skills necessary to communicate your insights through persuasive and memorable data stories. Narratives are more powerful than raw statistics, more enduring than pretty charts. When done correctly, data stories can influence decisions and drive change. Most other books focus only on data visualization while neglecting the powerful narrative and psychological aspects of telling stories with data. Author Brent Dykes shows you how to take the three central elements of data storytelling--data, narrative, and visuals--and combine them for maximum effectiveness. Taking a comprehensive look at all the elements of data storytelling, this unique book will enable you to: Transform your insights and data visualizations into appealing, impactful data stories Learn the fundamental elements of a data story and key audience drivers Understand the differences between how the brain processes facts and narrative Structure your findings as a data narrative, using a four-step storyboarding process Incorporate the seven essential principles of better visual storytelling into your work Avoid common data storytelling mistakes by learning from historical and modern examples Effective Data Storytelling: How to Drive Change with Data, Narrative and Visuals is a must-have resource for anyone who communicates regularly with data, including business professionals, analysts, marketers, salespeople, financial managers, and educators.