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Mathematics for Natural Scientists II: Advanced Methods (Undergraduate Lecture Notes in Physics)
by Lev KantorovichThis textbook, the second in a series (the first covered fundamentals and basics), seeks to make its material accessible to physics students. Physics/engineering can be greatly enhanced by knowledge of advanced mathematical techniques, but the math-specific jargon and laborious proofs can be off-putting to students not well versed in abstract math. This book uses examples and proofs designed to be clear and convincing from the context of physics, as well as providing a large number of both solved and unsolved problems in each chapter. This is the second edition, and it has been significantly revised and enlarged, with Chapters 1 (on linear algebra) and 2 (on the calculus of complex numbers and functions) having been particularly expanded. The enhanced topics throughout the book include: vector spaces, general (non-Hermitian, including normal and defective) matrices and their right/left eigenvectors/values, Jordan form, pseudoinverse, linearsystems of differential equations, Gaussian elimination, fundamental theorem of algebra, convergence of a Fourie series and Gibbs-Wilbraham phenomenon, careful derivation of the Fourier integral and of the inverse Laplace transform. New material has been added on many physics topics meant to illustrate the maths, such as 3D rotation, properties of the free electron gas, van Hove singularities, and methods for both solving PDEs with a Fourier transform and calculating the width of a domain wall in a ferromagnet, to mention just a few. This textbook should prove invaluable to all of those with an interest in physics/engineering who have previously experienced difficulty processing the math involved.
Mathematics for Social Sciences and Arts: Algebraic Modeling (Mathematics in Mind)
by Mahouton Norbert Hounkonnou Dragana Martinovic Melanija Mitrović Philippa PattisonThis book addresses interconnections between contemporary advances in mathematics, especially algebra, with applications in the social sciences and the arts. It promotes the idea that knowledge cannot remain in disciplinary silos, rather, it belongs to all people, and is dedicated to associative relationships in a variety of mathematics applications, from sociology to linguistics, including anthropology, semiotics, education, and cognitive science. Contributions illuminate some of the ways in which algebra is developed, learned, understood, communicated, and applied in the social sciences and the humanities.The content in this book has its origins in a conference, Mathematics for Social Sciences and Arts–Algebraic Modelling, virtually hosted by the Faculty of Mechanical Engineering, University of Niš, Serbia, from the 24th to the 26th of May, 2021. This conference brought together scholars from various disciplines and geographic regions and focused on the juxtaposition of algebra and social science applications. The conference organizers, higher education institutes from four different continents, invited leading scientists in social sciences and algebra, to contribute to this volume.The first part of this book addresses algebraic and mathematical thinking, specifically learning and practicing mathematics from a cognitive science perspective, as well as illustrative applications to distinctly human concerns, like education and semiotics. The second part focuses on algebraic semigroups and some of their generalizations. This book and the conference that engendered it provide an example of a fruitful collaboration, in which the skills and deep knowledge of algebraic structures, modeling, social sciences and arts brought in by the authors from different countries and continents merge in harmonious ways. These expositions are a rich resource and are of interest both to mathematicians and non-mathematicians.
Mathematics in Politics and Governance
by Francisco J. Aragón-Artacho Miguel A. GobernaThis book presents the mathematical tools that politicians use to make rational decisions about health, education, culture, economy, finance, transportation, and national defense for their citizens. The selection of topics addressed is based on the experiences of four veteran politicians who have doctorates or master’s degrees in mathematics. The exposition also considers the mathematical tools used by politicians to capture votes or optimize their impact on the design of electoral districts, i.e., gerrymandering, without forgetting the mathematics applied to parliamentary activity and political science.Aimed at a general educated readership, a basic knowledge of mathematics is the only requisite to understanding most of the book. Certain sections, denoted in the book with a star, contain more advanced material and require some knowledge of undergraduate math. A later chapter is dedicated to applications and techniques of machine learning and the final chapter discusses a variety of cases where political decisions have affected mathematical development. Readers gravitating towards this book are those who are curious about the history of mathematics, including optimizers and mathematicians who would like to learn more about the historical roots of their discipline. There will also be strong appeal to mathematically-oriented economists, political scientists, and people generally interested in mathematics.Mathematics is – or it should be! – an important part of our culture. The impact of mathematics is sometimes silent, but a powerful one. The authors of this book did an incredible work in digging out areas of mathematical reasoning that pervades social and political life. Reading this book, we will all enrich our vision of mathematics’ value for society.(Nuno Crato, Professor of Applied Mathematics, University of Lisbon, former minister of Education and Science of Portugal 2011–2015)This monograph shows in an impressive way that mathematics can be very helpful in making and evaluating political decisions and that it is indispensable in the progressive penetration of all areas of society with scientific methods. This also includes politics. Not everything in politics can be justified or related to mathematics, but politics should not be made in contradiction to mathematical truths. For me, this is a central message of this publication.(Johanna Wanka, Professor of Applied Mathematics, Merseburg University of Applied Sciences, former Minister of Education and Research, Germany 2013–2018)
The Mathematics Playbook: Implementing What Works Best in the Classroom
by John T. Almarode Kateri Thunder Michelle Shin Douglas Fisher Nancy FreyYour Guide to Engaging and Effective Math Instruction With the latest research on what works best in teaching and learning, The Mathematics Playbook is your comprehensive guide to enhancing mathematics teaching and learning. With a focus on fostering equity and maximizing student learning, the authors provide practical modules that integrate the latest research on effective teaching practices, and answer four critical questions: How do we foster, nurture, and sustain mathematics learning? How do we ensure all learners have equity of access and opportunity? What are the non-negotiables in a high-quality mathematics task? How do we know if learners really "get it"? Through real-life examples and an emphasis on self-assessment and reflection, this playbook empowers you to create engaging and impactful learning experiences in mathematics.
The Mathematics Playbook: Implementing What Works Best in the Classroom
by John T. Almarode Kateri Thunder Michelle Shin Douglas Fisher Nancy FreyYour Guide to Engaging and Effective Math Instruction With the latest research on what works best in teaching and learning, The Mathematics Playbook is your comprehensive guide to enhancing mathematics teaching and learning. With a focus on fostering equity and maximizing student learning, the authors provide practical modules that integrate the latest research on effective teaching practices, and answer four critical questions: How do we foster, nurture, and sustain mathematics learning? How do we ensure all learners have equity of access and opportunity? What are the non-negotiables in a high-quality mathematics task? How do we know if learners really "get it"? Through real-life examples and an emphasis on self-assessment and reflection, this playbook empowers you to create engaging and impactful learning experiences in mathematics.
The Mathematics Practitioner’s Guidebook for Collaborative Lesson Research: Authentic Lesson Study for Teaching and Learning (Studies in Mathematical Thinking and Learning Series)
by Akihiko Takahashi Geoffrey WakeThis resource provides mathematics educators with tools for conducting Collaborative Lesson Research (CLR), a form of Lesson Study developed out of the original Japanese Lesson Study and intended to improve student and teacher learning. Renowned mathematics education researchers Akihiko Takahashi and Geoffrey Wake bring together educators across the US and UK with first-hand experience using CLR in their schools. Readers will learn the essentials for an impactful Lesson Study directly from the scholars who coined the term, and benefit from the dual perspectives of math education researchers and teachers who have used CLR when reflecting on their own classroom pedagogy. These contributors define CLR and provide examples of successful CLR using real-life case studies, as well as introducing pathways for getting started and practical suggestions for implementation into different school environments. Across these examples, readers will: understand the essence of Lesson Study, considered as CLR, and its important features be advised what participants in CLR should expect to do (observing research lessons, designing lessons, teaching research lessons, facilitating post-lesson discussion, etc.) and provide guidance and support with this enactment be advised on how to develop, embed, and sustain CLR communities preview potential outcomes over time from undertaking CLR Research lesson proposals and plans to support readers in understanding CLR are also included. Ideal for practicing teachers, teacher leaders, teacher educators, and professional developers involved in mathematics teaching, this book offers first-of-its-kind entry points for CLR. Its combination of theory and practice will empower educators to implement this increasingly popular vehicle for understanding students’ learning of mathematics.
Mathematics Tasks for the Thinking Classroom, Grades K-5 (Corwin Mathematics Series)
by Peter Liljedahl Maegan GirouxPractical and proven math tasks to maximize student thinking and learning Building upon the blockbuster success of Building Thinking Classrooms in Mathematics, Peter Liljedahl has joined forces with co-author Maegan Giroux to bring the Building Thinking Classrooms (BTC) framework to life in this new book, Mathematics Tasks for the Thinking Classroom, Grades K-5. But this book is so much more than simply a collection of good thinking tasks. It delves deeper into the implementation of the 14 practices from the BTC framework by updating the practices with the newest research, and focusing on the practice through the lens of rich math tasks that address specific mathematical learning outcomes or standards. Across the 20 non-curricular tasks and 30 curricular tasks used as models, this book: Helps you choose tasks to fit your particular math standards, goals, and the competencies you want your students to build Walks you through all the steps and scripts to launch, facilitate, and consolidate each task Shares examples of possible student solutions along with hints you might offer to help their thinking along Offers tasks for consolidation, example notes to my future forgetful self, and mild, medium, and spicy check-your-understanding questions (CYUs) for every thin sliced sequences of curricular tasks Imparts reflections from the authors on each task The book closes with specific guidance on how to find more tasks or craft your own non-curricular and curricular tasks, along with answers to educators’ frequently asked questions. It includes access to a companion website that includes downloadables and a task template for creating your own tasks. Whether you are new to BTC or a seasoned user, Mathematics Tasks for the Thinking Classroom, Grades K-5 will help teachers, coaches, and specialists transform traditional math classrooms into dynamic and thought-provoking learning spaces.
Mathematics Tasks for the Thinking Classroom, Grades K-5 (Corwin Mathematics Series)
by Peter Liljedahl Maegan GirouxPractical and proven math tasks to maximize student thinking and learning Building upon the blockbuster success of Building Thinking Classrooms in Mathematics, Peter Liljedahl has joined forces with co-author Maegan Giroux to bring the Building Thinking Classrooms (BTC) framework to life in this new book, Mathematics Tasks for the Thinking Classroom, Grades K-5. But this book is so much more than simply a collection of good thinking tasks. It delves deeper into the implementation of the 14 practices from the BTC framework by updating the practices with the newest research, and focusing on the practice through the lens of rich math tasks that address specific mathematical learning outcomes or standards. Across the 20 non-curricular tasks and 30 curricular tasks used as models, this book: Helps you choose tasks to fit your particular math standards, goals, and the competencies you want your students to build Walks you through all the steps and scripts to launch, facilitate, and consolidate each task Shares examples of possible student solutions along with hints you might offer to help their thinking along Offers tasks for consolidation, example notes to my future forgetful self, and mild, medium, and spicy check-your-understanding questions (CYUs) for every thin sliced sequences of curricular tasks Imparts reflections from the authors on each task The book closes with specific guidance on how to find more tasks or craft your own non-curricular and curricular tasks, along with answers to educators’ frequently asked questions. It includes access to a companion website that includes downloadables and a task template for creating your own tasks. Whether you are new to BTC or a seasoned user, Mathematics Tasks for the Thinking Classroom, Grades K-5 will help teachers, coaches, and specialists transform traditional math classrooms into dynamic and thought-provoking learning spaces.
Mathematische Grundlagen des überwachten maschinellen Lernens: Optimierungstheoretische Methoden
by Konrad EngelDieses Buch behandelt die gängigsten Methoden zur Klassifikation von digitalisierten Objekten. Jedem Objekt ist ein Punkt im Euklidischen Raum passender Dimension zugeordnet. Das Lernen basiert auf einer Menge von Punkten, für die die zugehörige Klasse bekannt ist. Eine Reduktion der Dimension sowie elementare und anspruchsvollere Methoden zur Ermittlung schnell berechenbarer Funktionen, mit denen man aus einem Punkt die zugehörige Klasse mit einer möglichst geringen Fehlerrate ableiten kann, werden hergeleitet und in einer einheitlichen Herangehensweise begründet. Die recht elementaren Beweise werden im Wesentlichen mit Mitteln der Linearen Algebra geführt, nur für die neuronalen Netze wird etwas Analysis benötigt.Die Produktfamilie WissensExpress bietet Ihnen Lehr- und Lernbücher in kompakter Form. Die Bücher liefern schnell und verständlich fundiertes Wissen.
The Maths Pie
by Cornelia Wera KruegerMaths sometimes looks scary, but it isn’t! Trust me, you’ve got this! Maths in primary school isn’t easy for everyone, especially Imani. For Imani it is just frustrating, scary, and a book with seven seals. In order to help Imani, her mother comes up with a brilliant and yummy idea, The Maths Pie, to take her daughter’s fear of maths away, and show her that is actually isn’t that bad and can even be quite easy. Read through till the end, as there is a surprise waiting for you. By the way: I, the author of this book, had a fear of maths, so rest assured you’re not alone in this.
MATLAB and Simulink in Action: Programming, Scientific Computing and Simulation
by Dingyü Xue Feng PanThe textbook is intended for teaching MATLAB language and its applications. The book is composed of three parts: MATLAB programming, scientific computing with MATLAB, and system simulation with Simulink. Since MATLAB is widely used in all fields of science and engineering, a good introduction to the language can not only help students learn how to use it to solve practical problems, but also provide them with the skills to use MATLAB independently in their later courses and research. The three parts of the book are well-balanced and tailored to the needs of engineering students, and the mathematical problems commonly encountered in engineering can be easily solved using MATLAB. This textbook is suitable for undergraduate and graduate students majoring in science and engineering.
Matlab für Dummies (Für Dummies)
by Jim Sizemore John Paul MuellerMATLAB® So lernen Sie MATLAB ideal zu nutzen Ob Naturwissenschaftler, Mathematiker, Ingenieur oder Datenwissenschaftler - mit MATLAB haben Sie ein mächtiges Tool in der Hand, das Ihnen die Arbeit mit Ihren Daten erleichtert. Aber wie das mit manch mächtigen Dingen so ist - es ist auch ganz schön kompliziert. Aber keine Sorge! Die Autoren führen Sie in diesem Buch Schritt für Schritt an das Programm heran - von der Installation und den ersten Skripten bis hin zu aufwändigen Berechnungen, der Erstellung von Grafiken und effizienter Fehlerbehebung. Sie werden begeistert sein, was Sie mit MATLAB alles anstellen können. Sie erfahren Was es mit dem MATLAB-Dateisystem auf sich hat Wie Sie mathematische Operationen mit Vektoren und Matrizen durchführen Wie Sie Funktionen und Skripte erstellen Wie Sie importieren, exportieren und publizieren.
MATLAB Machine Learning Recipes: A Problem-Solution Approach
by Michael Paluszek Stephanie ThomasHarness the power of MATLAB to resolve a wide range of machine learning challenges. This new and updated third edition provides examples of technologies critical to machine learning. Each example solves a real-world problem, and all code provided is executable. You can easily look up a particular problem and follow the steps in the solution.This book has something for everyone interested in machine learning. It also has material that will allow those with an interest in other technology areas to see how machine learning and MATLAB can help them solve problems in their areas of expertise. The chapter on data representation and MATLAB graphics includes new data types and additional graphics. Chapters on fuzzy logic, simple neural nets, and autonomous driving have new examples added. And there is a new chapter on spacecraft attitude determination using neural nets. Authors Michael Paluszek and Stephanie Thomas show how all of these technologies allow you to build sophisticated applications to solve problems with pattern recognition, autonomous driving, expert systems, and much more.What You Will LearnWrite code for machine learning, adaptive control, and estimation using MATLABUse MATLAB graphics and visualization tools for machine learningBecome familiar with neural netsBuild expert systemsUnderstand adaptive controlGain knowledge of Kalman FiltersWho This Book Is ForSoftware engineers, control engineers, university faculty, undergraduate and graduate students, hobbyists.
Matrix Algebra: Theory, Computations and Applications in Statistics (Springer Texts in Statistics)
by James E. GentleThis book presents the theory of matrix algebra for statistical applications, explores various types of matrices encountered in statistics, and covers numerical linear algebra. Matrix algebra is one of the most important areas of mathematics in data science and in statistical theory, and previous editions had essential updates and comprehensive coverage on critical topics in mathematics.This 3rd edition offers a self-contained description of relevant aspects of matrix algebra for applications in statistics. It begins with fundamental concepts of vectors and vector spaces; covers basic algebraic properties of matrices and analytic properties of vectors and matrices in multivariate calculus; and concludes with a discussion on operations on matrices, in solutions of linear systems and in eigenanalysis. It also includes discussions of the R software package, with numerous examples and exercises.Matrix Algebra considers various types of matrices encountered in statistics, such as projection matrices and positive definite matrices, and describes special properties of those matrices; as well as describing various applications of matrix theory in statistics, including linear models, multivariate analysis, and stochastic processes. It begins with a discussion of the basics of numerical computations and goes on to describe accurate and efficient algorithms for factoring matrices, how to solve linear systems of equations, and the extraction of eigenvalues and eigenvectors. It covers numerical linear algebra—one of the most important subjects in the field of statistical computing. The content includes greater emphases on R, and extensive coverage of statistical linear models. Matrix Algebra is ideal for graduate and advanced undergraduate students, or as a supplementary text for courses in linear models or multivariate statistics. It’s also ideal for use in a course in statistical computing, or as a supplementary text forvarious courses that emphasize computations.
May Contain Lies: How Stories, Statistics, and Studies Exploit Our Biases—And What We Can Do about It
by Alex EdmansHow our biases cause us to fall for misinformation—and how to combat it. Our lives are minefields of misinformation. It ripples through our social media feeds, our daily headlines, and the pronouncements of politicians, executives, and authors. Stories, statistics, and studies are everywhere, allowing people to find evidence to support whatever position they want. Many of these sources are flawed, yet by playing on our emotions and preying on our biases, they can gain widespread acceptance, warp our views, and distort our decisions. In this eye-opening book, renowned economist Alex Edmans teaches us how to separate fact from fiction. Using colorful examples—from a wellness guru’s tragic but fabricated backstory to the blunders that led to the Deepwater Horizon disaster to the diet that ensnared millions yet hastened its founder’s death—Edmans highlights the biases that cause us to mistake statements for facts, facts for data, data for evidence, and evidence for proof. Armed with the knowledge of what to guard against, he then provides a practical guide to combat this tide of misinformation. Going beyond simply checking the facts and explaining individual statistics, Edmans explores the relationships between statistics—the science of cause and effect—ultimately training us to think smarter, sharper, and more critically. May Contain Lies is an essential read for anyone who wants to make better sense of the world and better decisions.
Measure of Noncompactness, Fixed Point Theorems, and Applications
by S. A. Mohiuddine M. Mursaleen Dragan S. DjordjevićThe theory of the measure of noncompactness has proved its significance in various contexts, particularly in the study of fixed point theory, differential equations, functional equations, integral and integrodifferential equations, optimization, and others. This edited volume presents the recent developments in the theory of the measure of noncompactness and its applications in pure and applied mathematics. It discusses important topics such as measures of noncompactness in the space of regulated functions, application in nonlinear infinite systems of fractional differential equations, and coupled fixed point theorem.Key Highlights: Explains numerical solution of functional integral equation through coupled fixed point theorem, measure of noncompactness and iterative algorithm Showcases applications of the measure of noncompactness and Petryshyn’s fixed point theorem functional integral equations in Banach algebra Explores the existence of solutions of the implicit fractional integral equation via extension of the Darbo’s fixed point theorem Discusses best proximity point results using measure of noncompactness and its applications Includes solvability of some fractional differential equations in the holder space and their numerical treatment via measures of noncompactness This reference work is for scholars and academic researchers in pure and applied mathematics.
Measuring Global Migration: Towards Better Data for All (Routledge Key Issues in Global Migration)
by Frank Laczko Elisa Mosler Vidal Marzia RangoThis book focuses on how to improve the collection, analysis and responsible use of data on global migration and international mobility.While migration remains a topic of great policy interest for governments around the world, there is a serious lack of reliable, timely, disaggregated and comparable data on it, and often insufficient safeguards to protect migrants’ information. Meanwhile, vast amounts of data about the movement of people are being generated in real time due to new technologies, but these have not yet been fully captured and utilized by migration policymakers, who often do not have enough data to inform their policies and programmes. The lack of migration data has been internationally recognized; the Global Compact for Safe, Orderly and Regular Migration urges all countries to improve data on migration to ensure that policies and programmes are "evidence-based", but does not spell out how this could be done. This book examines both the technical data issues associated with improving data on migration and the wider political challenges of how countries manage the collection and use of migration data. The first part of the book discusses how much we really know about international migration based on existing data, and key concepts and approaches which are often used to measure migration. The second part of the book examines what measures could be taken to improve migration data, highlighting examples of good practice from around the world in recent years, across a range of different policy areas, such as health, climate change and sustainable development more broadly. Written by leading experts on international migration data, this book is the perfect guide for students, policymakers and practitioners looking to understand more about the existing evidence base on migration and what can be done to improve it.
Mechanical Engineering in Biomedical Application: Bio-3D Printing, Biofluid Mechanics, Implant Design, Biomaterials, Computational Biomechanics, Tissue Mechanics
by Jay Prakash Srivastava Dražan Kozak Vinayak Ranjan Pankaj Kumar Ranjan Kumar Shubham TayalMECHANICAL ENGINEERING IN BIOMEDICAL APPLICATIONS The book explores the latest research and developments related to the interdisciplinary field of biomedical and mechanical engineering offering insights and perspectives on the research, key technologies, and mechanical engineering techniques used in biomedical applications. The book is divided into several sections that cover different aspects of mechanical engineering in biomedical research. The first section focuses on the role of additive manufacturing technologies, rehabilitation in healthcare applications, and artificial recreation of human organs. The section also covers the advances, risks, and challenges of bio 3D printing. The second section presents insight into biomaterials, including their properties, applications, and fabrication techniques. The section also covers the use of powder metallurgy methodology and techniques of biopolymer and bio-ceramic coatings on prosthetic implants. The third section covers biofluid mechanics, including the mechanics of fluid flow within our body, the mechanical aspects of human synovial fluids, and the design of medical devices for fluid flow applications. The section also covers the use of computational modeling to study the blockage of carotid arteries. The final section elaborates on soft robotic manipulation for use in medical sciences. Audience The book provides practical insights and applications for mechanical engineers, biomedical engineers, medical professionals, and researchers working on the design and development of biomedical devices and implants.
Mechanism of Hairpin Vortex Formation by Liutex (Synthesis Lectures on Engineering, Science, and Technology)
by Yifei Yu Chaoqun LiuThis book presents the importance of the mechanism of hairpin vortex formation to understanding flow transition, turbulence, and flow control. This book blends direct numerical simulation (DNS) and mathematical analysis with experiments to create a foundation for understanding turbulence. The authors discuss hairpin vortex as a main component of transitional flow and turbulent flow. In addition, Liutex is utilized and described as a theoretical system that presents valid tools for turbulence research. Readers are exposed to understanding 3D and non-linear instability; the Lambda vortex formation; sweeps, ejections, and shear instability; the Kelvin-Helmholtz instability and vortex ring formation; and turbulence generation and sustenance.
A Medical Educator's Guide to Thinking Critically about Randomised Controlled Trials: Deconstructing the "Gold Standard"
by Margaret MacDougallDrawing on the statistical and philosophical expertise of its authors, this book is designed to improve understanding and use of randomised controlled trials (RCTs) among health professionals. It is intended for use primarily by medical educators involved in teaching statistics and evidence-based medicine (EBM) to medical students, junior doctors and other health professionals. However, each of the chapters serves a wider range of interests, including the practical needs of physicians in interpreting research evidence to support clinical decision making and the teaching needs of philosophers of medicine who want to more fully appreciate how RCTs work in practice and provide engaging examples for their students. Rather than compete with the proliferating methodological literature on RCT designs, this book focuses on cultivating a healthy skepticism among developing health professionals to support critical appraisal of their own and published work on RCTs at a fundamental level, including through a more informed understanding of the place of subgroup analyses in sound statistical inference. Management of the positive predictive value in the statistical analysis of RCT findings is included as an important topic for contemporary medical curricula. In comparing RCTs with non-randomised studies, a search for empirical evidence for the superiority of RCTs is initiated, pointing to the need for further work to confirm what form this evidence should take.Medical educators will find a wealth of reasons to encourage their students to think more critically about how the RCT operates in practice as a gold standard.
Menschheitsproblem Klimaänderung: Naturwissenschaftliche Tatsachen mit philosophischen Betrachtungen und Beiträgen
by Albert FässlerDas vorliegende Buch analysiert den zukünftigen Temperaturverlauf der Erdoberfläche mithilfe eines naturwissenschaftlichen Modells und gibt eine Übersicht über die Ursachen und Auswirkungen des Klimawandels. Der Inhalt umfasst außerdem relevante Daten und Fakten zu den Themen Kohlenstoffbudget, Demographie, Gletscher, Permafrost, Artenvielfalt, Mobilität und Extremwetter. Die rasche globale Reduzierung des CO2-Anstiegs auf Netto-Null ist eine dringende Notwendigkeit, um nachfolgenden Generationen ein menschenwürdiges Leben zu ermöglichen. Die Industriestaaten tragen als Hauptverursacher eine moralische Verantwortung, die erwähnte Reduzierung zügig umzusetzen und die Entwicklungsländer in diesem Prozess zu unterstützen. Das Buch richtet sich auch an Personen mit wenig Bezug zur Mathematik.Die Produktfamilie WissensExpress bietet Ihnen Lehr- und Lernbücher in kompakter Form. Die Bücher liefern schnell und verständlich fundiertes Wissen.
Mentoring Mathematics Teachers in the Secondary School: A Practical Guide (Mentoring Trainee and Early Career Teachers)
by Rosa Archer, Siân Morgan, David Swanson, Claire Clemmet and Stefanie SullivanThis practical workbook assists school-based mentors of mathematics teachers to develop their mentoring skills, offering mentors the essential guidance needed in order to effectively support trainee or newly qualified secondary mathematics teachers, as well as in their overall career development. Offering tried and tested strategies based on research and evidence, Mentoring Mathematics Teachers in the Secondary School covers the knowledge, skills and understanding every mentor needs and offers practical tools such as lesson plans and feedback sheets, observation sheets, case studies, sample dialogues and other learning activities and exercises. Together with analytical tools for self-evaluation, this book is a vital source of support and inspiration for all those involved in developing the next generation of outstanding mathematics teachers, whether in teacher training or as newly qualified or early-career teachers. Key topics explored include: Roles and responsibilities of mentors within mathematics education, and understanding yourself as a mentor The mentor–mentee relationship, and helping develop a beginning teacher’s identity Supporting specific aspects of beginning mathematics teachers’ knowledge, skills and understanding, including developing reflective practice, lesson planning and mathematical misconceptions Strategies for observation and analysis of lessons, marking, assessment and the use of data Mentoring for long-term career and teacher development Filled with the key tools needed for the mentor’s individual development, Mentoring Mathematics Teachers in the Secondary School offers an accessible and practical guide to mentoring trainee teachers and early-career teachers with ready-to-use strategies that support, inspire and elevate both mentors and teachers alike. This book also includes an online eResource offering downloadable resources and web-based training material.
Meshfree and Particle Methods: Fundamentals and Applications
by Ted Belytschko J. S. Chen Michael HillmanMeshfree and Particle Methods Provides thorough coverage of essential concepts and state-of-the-art developments in the field Meshfree and Particle Methods is the first book of its kind to combine comprehensive, up-to-date information on the fundamental theories and applications of meshfree methods with systematic guidance on practical coding implementation. Broad in scope and content, this unique volume provides readers with the knowledge necessary to perform research and solve challenging problems in nearly all fields of science and engineering using meshfree computational techniques. The authors provide detailed descriptions of essential issues in meshfree methods, as well as specific techniques to address them, while discussing a wide range of subjects and use cases. Topics include approximations in meshfree methods, nonlinear meshfree methods, essential boundary condition enforcement, quadrature in meshfree methods, strong form collocation methods, and more. Throughout the book, topics are integrated with descriptions of computer implementation and an open-source code (with a dedicated chapter for users) to illustrate the connection between the formulations discussed in the text and their real-world implementation and application. This authoritative resource: Explains the fundamentals of meshfree methods, their constructions, and their unique capabilities as compared to traditional methods Features an overview of the open-source meshfree code RKPM2D, including code and numerical examples Describes all the variational concepts required to solve scientific and engineering problems using meshfree methods such as Nitsche’s method and the Lagrange multiplier method Includes comprehensive reviews of essential boundary condition enforcement, quadrature in meshfree methods, and nonlinear aspects of meshfree analysis Discusses other Galerkin meshfree methods, strong form meshfree methods, and their comparisons Meshfree and Particle Methods: Fundamentals and Applications is the perfect introduction to meshfree methods for upper-level students in advanced numerical analysis courses, and is an invaluable reference for professionals in mechanical, aerospace, civil, and structural engineering, and related fields, who want to understand and apply these concepts directly, or effectively use commercial and other production meshfree and particle codes in their work.
Metal Forming Processes: Fundamentals, Analysis, Calculations (Mechanical Engineering Series)
by Zainul HudaThis unique textbook features fundamentals and analyses of metal forming processes supported by 200 worked numerical examples. It provides rigorous detail on the three all-important groups of metal-forming processes: bulk-metal forming, sheet-metal forming, and sheet-bulk-metal forming. Theory of metal forming is presented by discussing deformation behavior, plasticity, and formability with a thorough mathematical analyses and calculations. The mechanics of sheet metal forming is also covered by including principal strain increments in uniaxial loading as well as plane stress deformation. There are 125 diagrammatic illustrations/real-life photographs that have been labelled properly to enhance the understanding of readers. Among the salient features of the book is the inclusion of industrially-oriented projects, covering both technological and business considerations. The key solutions connected to these projects are presented with the aid of mathematical analysis and process flow diagrams. The book includes 100 multiple-choice questions (MCQs) with their answers and those for selected problems facilitating self-directed learning.
Methodenvorschlag zur Berechnung der Sonneneinstrahlung für Prognosen: Mathematische Verfahren für die ingenieurtechnische Anwendung
by Larissa HilleIn diesem Buch werden mathematische Verfahren zur Lösung folgender Aufgaben vorgestellt:(Absatz)- Berechnen der Sonnenposition;(Absatz)- Berechnen der Leistung, die ein Lichtstrahl auf seinem Weg durch die Atmosphäre durch Absorption und Streuung verliert;(Absatz)- Berechnen der Strahlenverteilung in einer Wolkenschicht;(Absatz)- Berechnen diffuser Strahlung, die aus einer Atmosphärenschicht bei einer vorgegebenen Verteilung der gestreuten Strahlung zu einer ebenen Oberfläche (Solarmodul) oder zur Seitenfläche eines stehenden Kegelstumpfs (Windkraftanlagenturm) gestreut wird und diese Fläche in bestimmten Winkeln trifft.