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Exemplary Practices for Secondary Math Teachers
by Alfred S. Posamentier Daniel Jaye Stephen KrulikEvery year new secondary mathematics teachers take up positions in middle and high schools. The luckiest novices receive assistance from a coach or mentor: a master mathematics teacher who makes constructive comments, models effective approaches, and illuminates other practical aspects of teaching secondary math. But many new teachers don t have this advantage and must further their development on their own. If you are one of these teachers, this is the book you need. <p><p> In these pages, veteran mathematics educators Alfred S. Posamentier, Daniel Jaye, and Stephen Krulik present a treasure chest of ideas to guide new secondary math teachers through the challenging first few months and also provide more experienced teachers with interesting alternatives to familiar methods.
Exercises and Problems in Mathematical Methods of Physics (Undergraduate Lecture Notes in Physics)
by Giampaolo CicognaThis book is the second edition, whose original mission was to offer a new approach for students wishing to better understand the mathematical tenets that underlie the study of physics. This mission is retained in this book.The structure of the book is one that keeps pedagogical principles in mind at every level. Not only are the chapters sequenced in such a way as to guide the reader down a clear path that stretches throughout the book, but all individual sections and subsections are also laid out so that the material they address becomes progressively more complex along with the reader's ability to comprehend it. This book not only improves upon the first in many details, but it also fills in some gaps that were left open by this and other books on similar topics. The 350 problems presented here are accompanied by answers which now include a greater amount of detail and additional guidance for arriving at the solutions. In this way, the mathematical underpinnings of the relevant physics topics are made as easy to absorb as possible.
Exercises and Solutions in Biostatistical Theory (Chapman & Hall/CRC Texts in Statistical Science)
by Lawrence Kupper Brian Neelon Sean M. O'BrienDrawn from nearly four decades of Lawrence L. Kupper's teaching experiences as a distinguished professor in the Department of Biostatistics at the University of North Carolina, Exercises and Solutions in Biostatistical Theory presents theoretical statistical concepts, numerous exercises, and detailed solutions that span topics from basic probabilit
Exercises and Solutions in Statistical Theory (Chapman & Hall/CRC Texts in Statistical Science)
by Lawrence L. Kupper Brian. H Neelon Sean M. O'BrienExercises and Solutions in Statistical Theory helps students and scientists obtain an in-depth understanding of statistical theory by working on and reviewing solutions to interesting and challenging exercises of practical importance. Unlike similar books, this text incorporates many exercises that apply to real-world settings and provides much mor
Exercises in Algebra (Algebra, Logic and Applications)
by Alexandra I. KostrikinThis book is a collection of exercises for courses in higher algebra, linear algebra and geometry. It is helpful for postgraduate students in checking the solutions and answers to the exercises.
Exercises in Algebra: A Collection of Exercises, in Algebra, Linear Algebra and Geometry
by AlexandraI. KostrikinThis text contains more than 2000 exercises in algebra. These exercises are currently used in teaching a fundamental course in algebra in the Department of Mechanics and Mathematics at Moscow State University. The text is divided into three parts, which correspond to three semesters of study. Each section contains not only standard exercises, but also more difficult exercises at the end of some sections, these more challenging exercises being marked with asterisks. At the end of the book, results of calculations, a list of notations and basic definitions are given.
Exercises in Analysis
by Nikolaos S. Papageorgiou Leszek GasińksiExercises in Analysis will be published in two volumes. This first volume covers problems in five core topics of mathematical analysis: metric spaces; topological spaces; measure, integration and Martingales; measure and topology and functional analysis. Each of five topics correspond to a different chapter with inclusion of the basic theory and accompanying main definitions and results, followed by suitable comments and remarks for better understanding of the material. At least 170 exercises/problems are presented for each topic, with solutions available at the end of each chapter. The entire collection of exercises offers a balanced and useful picture for the application surrounding each topic. This nearly encyclopedic coverage of exercises in mathematical analysis is the first of its kind and is accessible to a wide readership. Graduate students will find the collection of problems valuable in preparation for their preliminary or qualifying exams as well as for testing their deeper understanding of the material. Exercises are denoted by degree of difficulty. Instructors teaching courses that include one or all of the above-mentioned topics will find the exercises of great help in course preparation. Researchers in analysis may find this Work useful as a summary of analytic theories published in one accessible volume.
Exercises in Applied Mathematics: With a View toward Information Theory, Machine Learning, Wavelets, and Statistical Physics (Chapman Mathematical Notes)
by Daniel AlpayThis text presents a collection of mathematical exercises with the aim of guiding readers to study topics in statistical physics, equilibrium thermodynamics, information theory, and their various connections. It explores essential tools from linear algebra, elementary functional analysis, and probability theory in detail and demonstrates their applications in topics such as entropy, machine learning, error-correcting codes, and quantum channels. The theory of communication and signal theory are also in the background, and many exercises have been chosen from the theory of wavelets and machine learning. Exercises are selected from a number of different domains, both theoretical and more applied. Notes and other remarks provide motivation for the exercises, and hints and full solutions are given for many. For senior undergraduate and beginning graduate students majoring in mathematics, physics, or engineering, this text will serve as a valuable guide as theymove on to more advanced work.
Exercises in Cellular Automata and Groups (Springer Monographs in Mathematics)
by Tullio Ceccherini-Silberstein Michel CoornaertThis book complements the authors’ monograph Cellular Automata and Groups [CAG] (Springer Monographs in Mathematics). It consists of more than 600 fully solved exercises in symbolic dynamics and geometric group theory with connections to geometry and topology, ring and module theory, automata theory and theoretical computer science. Each solution is detailed and entirely self-contained, in the sense that it only requires a standard undergraduate-level background in abstract algebra and general topology, together with results established in [CAG] and in previous exercises. It includes a wealth of gradually worked out examples and counterexamples presented here for the first time in textbook form. Additional comments provide some historical and bibliographical information, including an account of related recent developments and suggestions for further reading. The eight-chapter division from [CAG] is maintained. Each chapter begins with a summary of the main definitions and results contained in the corresponding chapter of [CAG]. The book is suitable either for classroom or individual use.Foreword by Rostislav I. Grigorchuk
Exercises in Computational Mathematics with MATLAB
by Tom Lyche Jean-Louis MerrienDesigned to provide tools for independent study, this book contains student-tested mathematical exercises joined with MATLAB programming exercises. Most chapters open with a review followed by theoretical and programming exercises, with detailed solutions provided for all problems including programs. Many of the MATLAB exercises are presented as Russian dolls: each question improves and completes the previous program and results are provided to validate the intermediate programs. The book offers useful MATLAB commands, advice on tables, vectors, matrices and basic commands for plotting. It contains material on eigenvalues and eigenvectors and important norms of vectors and matrices including perturbation theory; iterative methods for solving nonlinear and linear equations; polynomial and piecewise polynomial interpolation; Bézier curves; approximations of functions and integrals and more. The last two chapters considers ordinary differential equations including two point boundary value problems, and deal with finite difference methods for some partial differential equations. The format is designed to assist students working alone, with concise Review paragraphs, Math Hint footnotes on the mathematical aspects of a problem and MATLAB Hint footnotes with tips on programming.
Exercises in Programming Style
by Cristina Videira LopesThe first edition of Exercises in Programming Style was honored as an ACM Notable Book and praised as "The best programming book of the decade." This new edition retains the same presentation but has been upgraded to Python 3, and there is a new section on neural network styles. Using a simple computational task (term frequency) to illustrate different programming styles, Exercises in Programming Style helps readers understand the various ways of writing programs and designing systems. It is designed to be used in conjunction with code provided on an online repository. The book complements and explains the raw code in a way that is accessible to anyone who regularly practices the art of programming. The book can also be used in advanced programming courses in computer science and software engineering programs. The book contains 40 different styles for writing the term frequency task. The styles are grouped into ten categories: historical, basic, function composition, objects and object interactions, reflection and metaprogramming, adversity, data-centric, concurrency, interactivity, and neural networks. The author states the constraints in each style and explains the example programs. Each chapter first presents the constraints of the style, next shows an example program, and then gives a detailed explanation of the code. Most chapters also have sections focusing on the use of the style in systems design as well as sections describing the historical context in which the programming style emerged.
Exercises in Statistical Reasoning (Chapman & Hall/CRC Texts in Statistical Science)
by null Michael R. Schwob null Yunshan Duan null Beatrice Cantoni null Bernardo Flores-Lopez null Stephen G. WalkerStudents cultivate learning techniques in school that emphasize procedural problem solving and rote memorization. This leads to efficient problem solving for familiar problems. However, conducting novel research is an exercise in creative problem solving that is at odds with a procedural approach; it requires thinking deeply about the topic and crafting solutions to unique problems. It is not easy to move from a topic-based, carefully curated curriculum to the daunting world of independent research, where solutions are unknown and may not even exist. In developing this book, we considered our experiences as graduate students that faced this transition.Exercises in Statistical Reasoning is a collection of exercises designed to strengthen creative problem-solving skills. The exercises are designed to encourage readers to understand the key points of a problem while seeking knowledge, rather than separating out these two activities. To complete the exercises, readers may need to reference the literature, which is how research-based knowledge is often acquired.Features of the Exercises The exercises are self-contained, though several build upon concepts from previous problems. Each exercise opens with a brief introduction that emphasizes the relevance of the content. Then, the problem statement is presented as a series of intermediate questions. For each exercise, we suggest one possible solution, though many may exist. Following each solution, we discuss the historical background of the content and points of interest. For many exercises, a brief demonstration is provided that illustrates relevant concepts. There is an abundance of high-quality textbooks that cover a vast range of statistical topics. However, there is also a lack of texts that focus on the development of problem-solving techniques that are required for conducting novel statistical research. We believe that this book helps fill the gap. Any reader familiar with graduate-level classical and Bayesian statistics may use this book. The goal is to provide a resource that such students can use to ease their transition to conducting novel research.
The Existence of the External World: The Pascal-Hume Principle
by Jean-Rene VernesAlthough thousands of works have been published on the philosophy of knowledge, philosophers have not yet managed to come to a consensus on the fundamental issue: is there a reality that exists outside of consciousness and, if so, how can we prove it? Apart from historical and critical writings, the essential works, those that contemporary thought can use as solid foundations to discover new truths, amount to a few hundred pages at most. We will discuss some of them.
Existence Theorems for Ordinary Differential Equations (Dover Books on Mathematics)
by Kenneth S. Miller Francis J. MurrayTheorems stating the existence of an object—such as the solution to a problem or equation—are known as existence theorems. This text examines fundamental and general existence theorems, along with the Picard iterants, and applies them to properties of solutions and linear differential equations.The authors assume a basic knowledge of real function theory, and for certain specialized results, of elementary functions of a complex variable. They do not consider the elementary methods for solving certain special differential equations, nor advanced specialized topics; within these restrictions, they obtain a logically coherent discussion for students at a specific phase of their mathematical development. The treatment begins with a survey of fundamental existence theorems and advances to general existence and uniqueness theorems. Subsequent chapters explore the Picard iterants, properties of solutions, and linear differential equations.
The EXODUS Incident: A Scientific Novel (Science and Fiction)
by Peter SchattschneiderIn the near future, Earth is suffering from climate change, famines, and fundamentalism. A global nuclear war is imminent. Interstellar probes from the Breakthrough Starshot project initiated by J. Milner and S. Hawking have discovered a habitable planet in the stellar system Proxima Centauri, just in time for the exodus of the elites. On board the EXODUS starship, the crew starts to experience strange things. The voyage to Atlantis, the new home for mankind, enters a mysterious and disquieting territory, where conspiracy theories about what is real and what is virtual emerge. THE EXODUS INCIDENT is a novel about an interstellar journey, which connects science to virtual realities and epistemology. In the guise of a final investigative report, a scientific treatise discusses the physics and mathematics behind the story: the starship, the fusion thruster, the target planet, and the journey, addressing anomalous effects which involve relativistic speed and deep space environments.
The Exoteric Square of Opposition: The Sixth World Congress on the Square of Opposition (Studies in Universal Logic)
by Jean-Yves Beziau Ioannis VandoulakisThe theory of the square of opposition has been studied for over 2,000 years and has seen a resurgence in new theories and research since the second half of the twentieth century. This volume collects papers presented at the Sixth World Congress on the Square of Opposition, held in Crete in 2018, developing an interdisciplinary exploration of the theory. Chapter authors explore subjects such as Aristotle’s ontological square, logical oppositions in Avicenna’s hypothetical logic, and the power of the square of opposition to solve theological problems regarding predestination and theodicy. Other topics covered include:Hegel’s opposition to diagramsDe Morgan’s unpublished octagon of opposition turnstile figures of oppositioninstitutional model-theoretic treatment of oppositionsLacan’s four formulas of sexuationthe theory of oppositional poly-simplexesThe Exoteric Square of Opposition will appeal to pure logicians, historians of logic, semioticians, philosophers, theologians, mathematicians, and psychoanalysts.
Expanding Mathematical Toolbox: Interweaving Topics, Problems And Solutions
by Boris PritskerExpanding Mathematical Toolbox: Interweaving Topics, Problems, and Solutions offers several topics from different mathematical disciplines and shows how closely they are related. The purpose of this book is to direct the attention of readers who have an interest in and talent for mathematics to engaging and thought-provoking problems that should help them change their ways of thinking, entice further exploration and possibly lead to independent research and projects in mathematics. In spite of the many challenging problems, most solutions require no more than a basic knowledge covered in a high-school math curriculum. To shed new light on a deeper appreciation for mathematical relationships, the problems are selected to demonstrate techniques involving a variety of mathematical ideas. Included are some interesting applications of trigonometry, vector algebra and Cartesian coordinate system techniques, and geometrical constructions and inversion in solving mechanical engineering problems and in studying models explaining non-Euclidean geometries. This book is primarily directed at secondary school teachers and college professors. It will be useful in teaching mathematical reasoning because it emphasizes how to teach students to think creatively and strategically and how to make connections between math disciplines. The text also can be used as a resource for preparing for mathematics Olympiads. In addition, it is aimed at all readers who want to study mathematics, gain deeper understanding and enhance their problem-solving abilities. Readers will find fresh ideas and topics offering unexpected insights, new skills to expand their horizons and an appreciation for the beauty of mathematics.
Expanding Senses using Neurotechnology: Volume 1 ‒ Foundation of Brain-Computer Interface Technology
by Ujwal ChaudharyThis book is an essential guide for students, researchers, and professionals in the interdisciplinary field of neurotechnology. This comprehensive volume delves into the intricate world of brain signal acquisition, exploring both invasive and non-invasive techniques like EEG, fNIRS, fMRI, and DBS. Through case studies, including groundbreaking communication systems for ALS patients and neurofeedback mechanisms, readers will learn how theoretical concepts are transformed into life-changing technologies. The book traces the historical milestones of neurotechnology and discusses the latest advancements in brain signal processing and neurostimulation techniques. Readers will gain an understanding of how machine learning models enhance neurotechnology applications and how ethical considerations shape the future of this rapidly evolving field. This book offers invaluable insights into the tools, techniques, and applications that are revolutionizing the way we understand and interact with the human brain. Join us on a journey through the past, present, and future of neurotechnology, and discover how this fascinating field is poised to transform healthcare, enhance human capabilities, and improve the quality of life for millions worldwide. This book contains 120 questions and answers: Download the Springer Nature Flashcards App free of charge and use exclusive additional material to test your knowledge.
Expanding Senses using Neurotechnology: Volume 2 ‒ Brain Computer Interfaces and their Applications
by Ujwal ChaudharyThis book provides a comprehensive exploration of the transformative field of brain-computer interfaces (BCIs) and neurotechnology. As the fusion of neuroscience, engineering, and artificial intelligence advances, this textbook guides readers through foundational principles and recent innovations that are reshaping how we understand and enhance brain-body abilities. From non-invasive BCIs and their role in communication and motor restoration to invasive BCIs designed for individuals with locked-in syndrome and beyond, each chapter delves into cutting-edge applications, including neurofeedback therapy and treatments for neuropsychiatric conditions like ADHD and depression. Additionally, the textbook addresses the crucial ethical, legal, and societal implications, exploring concerns over mental privacy, informed consent, and the commercialization of brain data. Intended for students, researchers, and professionals in neuroscience, biomedical engineering, and related fields, this text serves as both a technical guide and an ethical roadmap to the profound future of neurotechnology. This book contains more than 110 questions and answers: Download the Springer Nature Flashcards App free of charge and use exclusive additional material to test your knowledge.
Expansions and Asymptotics for Statistics (Chapman & Hall/CRC Monographs on Statistics and Applied Probability)
by Christopher G. SmallAsymptotic methods provide important tools for approximating and analysing functions that arise in probability and statistics. Moreover, the conclusions of asymptotic analysis often supplement the conclusions obtained by numerical methods. Providing a broad toolkit of analytical methods, Expansions and Asymptotics for Statistics shows how asymptoti
An Expedition to Continuum Theory (Solid Mechanics and Its Applications #210)
by Wolfgang H. MüllerThis book introduces field theory as required in solid and fluid mechanics as well as in electromagnetism. It includes the necessary applied mathematical framework of tensor algebra and tensor calculus, using an inductive approach particularly suited to beginners. It is geared toward undergraduate classes in continuum theory for engineers in general, and more specifically to courses in continuum mechanics. Students will gain a sound basic understanding of the subject as well as the ability to solve engineering problems by applying the general laws of nature in terms of the balances for mass, momentum, and energy in combination with material-specific relations in terms of constitutive equations, thus learning how to use the theory in practice for themselves. This is facilitated by numerous examples and problems provided throughout the text.
Experiencing National Culture Abroad: The Study of Turkish Film Festivals in Germany (Framing Film Festivals)
by Burcu Dabak ÖzdemirImmigrant film festivals are multifaceted events where complex networks of identities and symbolic values are constructed, circulated, and debated through various channels, including program screenings, ancillary events, press releases, financial backing, and audience engagement. As such, immigrant film festivals can be seen as discourse-producing practices. Based on this idea, this book offers a comprehensive study of three prominent Turkish film festivals in Germany: the International Frankfurt Turkish Film Festival, the Nuremberg Turkey/Germany Film Festival, and the Munich Turkish Film Days. The overarching objective is to comprehend the multifaceted influence of these festivals on the construction of discourses on Turkish immigrant identity while also seeking to illuminate how these festivals reshape both the host country and the country of origin and produce ideas for Turkish immigrants This is achieved through an examination of the diverse representation strategies engendered by these festivals. By employing a multifaceted research approach—including content analysis, audience studies, semi-structured interviews with festival managers, and participant observation—this study seeks to provide a nuanced understanding of the complex interplay between immigrant film festivals, cultural identity formation, and the socio-political dynamics within both the host and origin countries. Through rigorous scholarly inquiry, it aims to contribute to academic discourse on the role of film festivals in shaping cultural narratives, fostering intercultural dialogue, and facilitating processes of integration and belonging within immigrant communities.
Experiencing School Mathematics: Traditional and Reform Approaches To Teaching and Their Impact on Student Learning, Revised and Expanded Edition (Studies in Mathematical Thinking and Learning Series)
by Jo BoalerNORTH AMERICAN RIGHTS ONLY: This is a revised edition of Experiencing School Mathematics first published in 1997 by Open University Press, © Jo Boaler. This revised edition is for sale in North America only.The first book to provide direct evidence for the effectiveness of traditional and reform-oriented teaching methods, Experiencing School Mathematics reports on careful and extensive case studies of two schools that taught mathematics in totally different ways. Three hundred students were followed over three years, providing an unusual and important range of data, including observations, interviews, questionnaires, and assessments, to show the ways students' beliefs and understandings were shaped by the different approaches to mathematics teaching. The interviews that are reproduced in the book give compelling insights into what it meant to be a student in the classrooms of the two schools. Questions are raised about and new evidence is provided for: * the ways in which "traditional" and "reform oriented" mathematics teaching approaches can impact student attitude, beliefs, and achievement; *the effectiveness of different teaching methods in preparing students for the demands of the "real world" and the 21st century; *the impact of tracking and heterogeneous ability grouping; and *gender and teaching styles--the potential of different teaching approaches for the attainment of equity. The book draws some radical new conclusions about the ways that traditional teaching methods lead to limited forms of knowledge that are ineffective in non-school settings. This edition has been revised for the North American market to show the relevance of the study results in light of the U.S. reform movement, the "math wars" and debates about teachers, assessment, and tracking. The details of the study have been rewritten for an American audience and the results are compared with research conducted in the U.S. This is an important volume for mathematics teachers and researchers, education policymakers, and for students in mathematics education courses. NOTE: This is a revised edition of Experiencing School Mathematics first published in 1997 by Open University Press, © Jo Boaler. This revised edition is for sale in North America only.
Experiment Design and Statistical Methods For Behavioural and Social Research
by David R. BonifaceExperiment Design and Statistical Methods introduces the concepts, principles, and techniques for carrying out a practical research project either in real world settings or laboratories - relevant to studies in psychology, education, life sciences, social sciences, medicine, and occupational and management research.The text covers: repeated measures unbalanced and non-randomized experiments and surveys choice of design adjustment for confounding variables model building and partition of variance covariance multiple regressionExperiment Design and Statistical Methods contains a unique extension of the Venn diagram for understanding non-orthogonal design, and it includes exercises for developing the reader's confidence and competence. The book also examines advanced techniques for users of computer packages or data analysis, such as Minitab, SPSS, SAS, SuperANOVA, Statistica, BMPD, SYSTAT, Genstat, and GLIM.
Experimental and Numerical Investigations in Materials Science and Engineering: Proceedings of the International Conference of Experimental and Numerical Investigations and New Technologies, CNNTech 2018 (Lecture Notes in Networks and Systems #54)
by Nenad Mitrovic Milos Milosevic Goran MladenovicThis book provides a collection of high-quality peer-reviewed research papers presented at the International Conference of Experimental and Numerical Investigations and New Technologies (CNNTech2018), held in Zlatibor, Serbia from 4 to 6 July 2018. The book discusses a wide variety of industrial, engineering and scientific applications of engineering techniques. Researchers from academia and the industry share their original work and exchange ideas, experiences, information, techniques, applications and innovations in the field of mechanical engineering, materials science, chemical and process engineering, experimental techniques, numerical methods and new technologies.