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Advances in Mathematical Inequalities and Applications (Trends in Mathematics)
by Praveen Agarwal Silvestru Sever Dragomir Mohamed Jleli Bessem SametThis book is a collection of original research and survey articles on mathematical inequalities and their numerous applications in diverse areas of mathematics and engineering. It includes chapters on convexity and related concepts; inequalities for mean values, sums, functions, operators, functionals, integrals and their applications in various branches of mathematics and related sciences; fractional integral inequalities; and weighted type integral inequalities. It also presents their wide applications in biomathematics, boundary value problems, mechanics, queuing models, scattering, and geomechanics in a concise, but easily understandable way that makes the further ramifications and future directions clear. The broad scope and high quality of the contributions make this book highly attractive for graduates, postgraduates and researchers. All the contributing authors are leading international academics, scientists, researchers and scholars.
Fractional Calculus: ICFDA 2018, Amman, Jordan, July 16-18 (Springer Proceedings in Mathematics & Statistics #303)
by Praveen Agarwal Dumitru Baleanu YangQuan Chen Shaher Momani José António Tenreiro MachadoThis book collects papers presented at the International Conference on Fractional Differentiation and its Applications (ICFDA), held at the University of Jordan, Amman, Jordan, on 16–18 July 2018. Organized into 13 chapters, the book discusses the latest trends in various fields of theoretical and applied fractional calculus. Besides an essential mathematical interest, its overall goal is a general improvement of the physical world models for the purpose of computer simulation, analysis, design and control in practical applications. It showcases the development of fractional calculus as an acceptable tool for a large number of diverse scientific communities due to more adequate modeling in various fields of mechanics, electricity, chemistry, biology, medicine, economics, control theory, as well as signal and image processing. The book will be a valuable resource for graduate students and researchers of mathematics and engineering.
Deep Learning-Based Approaches for Sentiment Analysis (Algorithms for Intelligent Systems)
by Basant Agarwal Namita Mittal Srikanta Patnaik Richi NayakThis book covers deep-learning-based approaches for sentiment analysis, a relatively new, but fast-growing research area, which has significantly changed in the past few years. The book presents a collection of state-of-the-art approaches, focusing on the best-performing, cutting-edge solutions for the most common and difficult challenges faced in sentiment analysis research. Providing detailed explanations of the methodologies, the book is a valuable resource for researchers as well as newcomers to the field.
Curriculum for Wales: Mastering Mathematics for 11-14 years: Book 1
by Jonathan Agar Laszlo FedorCreate confident and capable mathematicians with accessible explanations and engaging activities.This book gradually builds on prior knowledge to deepen understanding through clear explanations, worked examples and hundreds of differentiated questions, as well as class activities.Designed to be used flexibly, this scheme covers the four 'what matters' statements and follows the five principles of progression from the Curriculum for Wales.- Develop pupils' conceptual understanding and communication with symbols throughout using plenty of worked examples and banded questions that get progressively more difficult- Target key skills using the fluency, logical reasoning and strategic competence markers- Engage pupils with a range of whole-class activities, including manipulatives and the 'concrete, pictorial, abstract' approach- Ease the transition between progression steps with skill-checker activities at the start of each topic and review questions after each chapter - Link topics to other areas of learning, such as Science and Technology, with cross-curricular activities and discussion points
Microarray Data Analysis (Methods in Molecular Biology #2401)
by Giuseppe AgapitoThis meticulous book explores the leading methodologies, techniques, and tools for microarray data analysis, given the difficulty of harnessing the enormous amount of data. The book includes examples and code in R, requiring only an introductory computer science understanding, and the structure and the presentation of the chapters make it suitable for use in bioinformatics courses. Written for the highly successful Methods in Molecular Biology series, chapters include the kind of key detail and expert implementation advice that ensures successful results and reproducibility. Authoritative and practical, Microarray Data Analysis is an ideal guide for students or researchers who need to learn the main research topics and practitioners who continue to work with microarray datasets.
Be a Champion: 40 Facts You Didn't Know About Sports and Science (Copernicus Books)
by Amandine AftalionWhy do you lean in a bend? Why does a sprinter slow down before the finish line? Why do golf balls have dimples? Why do you swim better slightly underwater? Why, on a bike, the faster you go, the more stable you are? Why shouldn’t you rely on doping tests too much? Is there a law of evolution of records?These are some of the 40 questions that Amandine Aftalion answers in this book using simple physics and mathematics, and some humor. Not only will it allow you to improve yourself in sports, but it will also but it will also give way to understanding how champions do.An easy book to read and the must to have if you are a sports addict or if you watch sports on TV and ask yourself “why?”.Amandine Aftalion is a French mathematician. She is a CNRS senior scientist and graduated from École normale supérieure in Paris. She has given talks all over the world, as a specialist of models coming from low temperature physics. She has written a book on vortices in Bose–Einstein condensates. More recently, she has used energy minimization to study an optimal control problem coming from human energy: optimizing running. She has written papers on sports aimed at coaches. Part of her latest results have inspired the first chapter of this book. She is the producer and director of a French YouTube channel for the popularization of mathematics, Videodimath, elected as one of the 5 best French YouTube channels for popular mathematics.
Group Theory in Particle, Nuclear, and Hadron Physics
by Syed Afsar AbbasThis user-friendly book on group theory introduces topics in as simple a manner as possible and then gradually develops those topics into more advanced ones, eventually building up to the current state-of-the-art. By using simple examples from physics and mathematics, the advanced topics become logical extensions of ideas already introduced. In addition to being used as a textbook, this book would also be useful as a reference guide for graduates and researchers in particle, nuclear and hadron physics.
Leistungseffekte beim verschachtelten und geblockten Lernen mittels Lernvideos auf Tablets: Eine empirische Untersuchung an Schülerinnen und Schülern der fünften Jahrgangsstufe (Mathematikdidaktik im Fokus)
by Maria AfroozAuslöser der vorliegenden Forschungsstudie sind die Aktualität des Forschungsthemas sowie die mangelnden empirischen Untersuchungen im Mathematikunterricht und im Zusammenhang mit digitalen Medien: Das verschachtelte Lernen als ein neuer, kognitionspsychologischer Forschungsansatz in der Mathematikdidaktik erschwert kurzfristig das Lernen, führt jedoch langfristig zu besseren Leistungen der Lernenden. Die innovative Studie vereint den Ansatz des verschachtelten Lernens mit den selbst entwickelten Lernvideos, welche optimal im Mathematikunterricht integriert werden können.
Nonlinear Dynamics and Complexity
by Valentin Afraimovich Albert C. J. Luo Xilin FuThis important collection presents recent advances in nonlinear dynamics including analytical solutions, chaos in Hamiltonian systems, time-delay, uncertainty, and bio-network dynamics. Nonlinear Dynamics and Complexity equips readers to appreciate this increasingly main-stream approach to understanding complex phenomena in nonlinear systems as they are examined in a broad array of disciplines. The book facilitates a better understanding of the mechanisms and phenomena in nonlinear dynamics and develops the corresponding mathematical theory to apply nonlinear design to practical engineering.
Practical Multivariate Analysis (Chapman & Hall/CRC Texts in Statistical Science)
by Abdelmonem Afifi Susanne May Robin Donatello Virginia A. ClarkThis is the sixth edition of a popular textbook on multivariate analysis. Well-regarded for its practical and accessible approach, with excellent examples and good guidance on computing, the book is particularly popular for teaching outside statistics, i.e. in epidemiology, social science, business, etc. The sixth edition has been updated with a new chapter on data visualization, a distinction made between exploratory and confirmatory analyses and a new section on generalized estimating equations and many new updates throughout. This new edition will enable the book to continue as one of the leading textbooks in the area, particularly for non-statisticians. Key Features: Provides a comprehensive, practical and accessible introduction to multivariate analysis. Keeps mathematical details to a minimum, so particularly geared toward a non-statistical audience. Includes lots of detailed worked examples, guidance on computing, and exercises. Updated with a new chapter on data visualization.
Concept Mapping in Mathematics: Research into Practice
by Karoline Afamasaga-Fuata'IConcept Mapping in Mathematics: Research into Practice is the first comprehensive book on concept mapping in mathematics. It provides the reader with an understanding of how the meta-cognitive tool, namely, hierarchical concept maps, and the process of concept mapping can be used innovatively and strategically to improve planning, teaching, learning, and assessment at different educational levels. This collection of research articles examines the usefulness of concept maps in the educational setting, with applications and examples ranging from primary grade classrooms through secondary mathematics to pre-service teacher education, undergraduate mathematics and post-graduate mathematics education. A second meta-cognitive tool, called vee diagrams, is also critically examined by two authors, particularly its value in improving mathematical problem solving. Thematically, the book flows from a historical development overview of concept mapping in the sciences to applications of concept mapping in mathematics by teachers and pre-service teachers as a means of analyzing mathematics topics, planning for instruction and designing assessment tasks including applications by school and university students as learning and review tools. This book provides case studies and resources that have been field tested with school and university students alike. The findings presented have implications for enriching mathematics learning and making problem solving more accessible and meaningful for students. The theoretical underpinnings of concept mapping and of the studies in the book include Ausubel's cognitive theory of meaningful learning, constructivist and Vygotskian psychology to name a few. There is evidence particularly from international studies such as PISA and TIMSS and mathematics education research, which suggest that students' mathematical literacy and problem solving skills can be enhanced through students collaborating and interacting as they work, discuss and communicate mathematically. This book proposes the meta-cognitive strategy of concept mapping as one viable means of promoting, communicating and explicating students' mathematical thinking and reasoning publicly in a social setting (e.g., mathematics classrooms) as they engage in mathematical dialogues and discussions. Concept Mapping in Mathematics: Research into Practice is of interest to researchers, graduate students, teacher educators and professionals in mathematics education.
Quantum-Like Models for Information Retrieval and Decision-Making (STEAM-H: Science, Technology, Engineering, Agriculture, Mathematics & Health)
by Diederik Aerts Andrei Khrennikov Massimo Melucci Bourama ToniRecent years have been characterized by tremendous advances in quantum information and communication, both theoretically and experimentally. In addition, mathematical methods of quantum information and quantum probability have begun spreading to other areas of research, beyond physics. One exciting new possibility involves applying these methods to information science and computer science (without direct relation to the problems of creation of quantum computers). The aim of this Special Volume is to encourage scientists, especially the new generation (master and PhD students), working in computer science and related mathematical fields to explore novel possibilities based on the mathematical formalisms of quantum information and probability. The contributing authors, who hail from various countries, combine extensive quantum methods expertise with real-world experience in application of these methods to computer science. The problems considered chiefly concern quantum information-probability based modeling in the following areas: information foraging; interactive quantum information access; deep convolutional neural networks; decision making; quantum dynamics; open quantum systems; and theory of contextual probability. The book offers young scientists (students, PhD, postdocs) an essential introduction to applying the mathematical apparatus of quantum theory to computer science, information retrieval, and information processes.
Stability, Periodicity and Boundedness in Functional Dynamical Systems on Time Scales
by Murat Adıvar Youssef N. RaffoulMotivated by recent increased activity of research on time scales, the book provides a systematic approach to the study of the qualitative theory of boundedness, periodicity and stability of Volterra integro-dynamic equations on time scales. Researchers and graduate students who are interested in the method of Lyapunov functions/functionals, in the study of boundedness of solutions, in the stability of the zero solution, or in the existence of periodic solutions should be able to use this book as a primary reference and as a resource of latest findings. This book contains many open problems and should be of great benefit to those who are pursuing research in dynamical systems or in Volterra integro-dynamic equations on time scales with or without delays. Great efforts were made to present rigorous and detailed proofs of theorems. The book should serve as an encyclopedia on the construction of Lyapunov functionals in analyzing solutions of dynamical systems on time scales. The book is suitable for a graduate course in the format of graduate seminars or as special topics course on dynamical systems.The book should be of interest to investigators in biology, chemistry, economics, engineering, mathematics and physics.
A Variational Approach to Nonsmooth Dynamics
by Samir AdlyThis brief examines mathematical models in nonsmooth mechanics and nonregular electrical circuits, including evolution variational inequalities, complementarity systems, differential inclusions, second-order dynamics, Lur'e systems and Moreau's sweeping process. The field of nonsmooth dynamics is of great interest to mathematicians, mechanicians, automatic controllers and engineers. The present volume acknowledges this transversality and provides a multidisciplinary view as it outlines fundamental results in nonsmooth dynamics and explains how to use them to study various problems in engineering. In particular, the author explores the question of how to redefine the notion of dynamical systems in light of modern variational and nonsmooth analysis. With the aim of bridging between the communities of applied mathematicians, engineers and researchers in control theory and nonlinear systems, this brief outlines both relevant mathematical proofs and models in unilateral mechanics and electronics.
Tutorium Mathe für Biologen: Von Studenten für Studenten
by Lorenz Adlung Christian Hopp Alexandra Köthe Niko Schnellbächer Oskar StauferWarum ein Mathebuch für Biologen von Studenten für Studenten?Wir wissen, was man an Mathe für Bio wirklich für die Prüfungen und die Bachelorarbeit braucht. Wir haben selbst Bio oder Mathe/Physik studiert und hautnah erlebt, wie unglaublich beliebt Mathe für Biologen ist. Neben einer „natürlichen Abneigung“ liegt es oft daran, dass die Lehre selten anwendungsbezogen ist. Wir haben uns bemüht, in einem Buch nur das aufzuführen, was man als Biologe wirklich benötigt und alles andere konsequent wegzulassen. Es gibt ständig Bezüge zu Publikationen aus den modernen Biowissenschaften. Solche relevanten Beispiele werden euch bestimmt hilfreich sein. Und das Beste: Das Buch ist garantiert häschenfrei! Wir rechnen nicht mit Hasenpopulationen sondern aktuellen Beispielen wie z.B. Signalwegen. Inhaltlich deckt das Buch den Stoff der ersten Mathevorlesungen für Biologen an den meisten Unis ab. Falls ihr mehr wissen möchtet, findet ihr uns auch auf Facebook unter „häschenfreie Mathe“.
A New Look at Geometry (Dover Books on Mathematics)
by Ruth Adler Irving Adler Peter RuaneThis richly detailed overview surveys the development and evolution of geometrical ideas and concepts from ancient times to the present. In addition to the relationship between physical and mathematical spaces, it examines the interactions of geometry, algebra, and calculus. The text proves many significant theorems and employs several important techniques. Chapters on non-Euclidean geometry and projective geometry form brief, self-contained treatments.More than 100 exercises with answers and 200 diagrams illuminate the text. Teachers, students (particularly those majoring in mathematics education), and mathematically minded readers will appreciate this outstanding exploration of the role of geometry in the development of Western scientific thought.Introduction to the Dover edition by Peter Ruane.
General Relativity and Cosmology: A First Encounter (Graduate Texts in Physics)
by Ronald J. AdlerGravitational physics has now become a mainstream topic in physics and physics teaching. In particular cosmology and gravitational wave physics are at the focus of a great deal of current research. Thus it is important to introduce students to General Relativity as soon as reasonable. This textbook offers a brief but comprehensive treatment accessible to advanced undergraduate students, graduate students, and any physicist or mathematician interested in understanding the material in a short time. The author, an experienced teacher of the subject, has included numerous examples and exercises to help students consolidate the ideas they have learned.
R in a Nutshell: A Desktop Quick Reference
by Joseph Adler<p>If you’re considering R for statistical computing and data visualization, this book provides a quick and practical guide to just about everything you can do with the open source R language and software environment. You’ll learn how to write R functions and use R packages to help you prepare, visualize, and analyze data.</p>
Graph-Theoretic Concepts in Computer Science: 46th International Workshop, WG 2020, Leeds, UK, June 24–26, 2020, Revised Selected Papers (Lecture Notes in Computer Science #12301)
by Isolde Adler Haiko MüllerThis book constitutes the revised papers of the 46th International Workshop on Graph-Theoretic Concepts in Computer Science, WG 2020, held in Leeds, UK, in June 2020. The workshop was held virtually due to the COVID-19 pandemic. The 32 full papers presented in this volume were carefully reviewed and selected from 94 submissions. They cover a wide range of areas, aiming to present emerging research results and to identify and explore directions of future research of concepts on graph theory and how they can be applied to various areas in computer science.
Fraction Fun
by David A. AdlerWould you rather eat 1/4 of a pizza or 1/8 of a pizza? Find 3/4 of a dollar or 1/10 of a dollar? Confused? You don't have to be! Fractions are made easy in this simple and hands-on math concept book. You'll learn what the top and bottom numbers are called, and what they mean. You will also find out how to recognize and compare different fractions. Just follow the clear instructions and you will learn the most important thing of all -- that fractions can be fun!
Let's Estimate: A Book About Estimating and Rounding Numbers
by David A. AdlerPartying dinos explain estimation in this entertaining introduction by a tried-and-true team of fun math book creators. How much pizza do you need for a dinosaur party? If you don't know exactly, you have to estimate! This lively introduction to the mathematical concept of estimation is straightforward and fun. With brilliant clarity, David A. Adler explains what an estimate is and the difference between estimating and rounding. Edward Miller's colorful and energetic artwork offers the perfect accompaniment to concise, engaging text. Filled with graspable examples and simple explanations, Let's Estimate will have kids estimating like pros!
Money Math: Addition and Subtraction
by David A. AdlerThis primer on money will change how you see addition and subtraction.What can a handful of coins get you? Well, it depends on how many you've got. . . . and what they are. In this fun introduction to American currency, a variety of past presidents introduce themselves and their denominations. You'll learn who's on each coin and bill, and what they're worth-- and how many of one it takes to add up to another. Dollars, cents, and decimals are explained in accessible, kid-friendly language, with tons of examples and try-it-yourself problems and activities. The mathematical concepts of addition, subtraction, multiplication and division become hands-on in this innovative math book from trusted duo David A. Adler and Edward Miller, whose award-winning collaborations have been helping students tackle complicated problems for years. After reading Money Math, kids will be confident with their pocket change!A Junior Library Guild Selection
Mystery Math: A First Book of Algebra
by David A. AdlerBoo! There is a mystery behind every door of the creepy haunted house. Luckily, algebra will help you solve each problem. By using simple addition, subtraction, mulitplication, and division, you'll discover that solving math mysteries isn't scary at all -- it's fun!
Perimeter, Area, and Volume: A Monster Book of Dimensions
by David A. AdlerGrab your jumbo popcorn—you're invited to the premiere of a 3-D movie, all about those three dimensions!Trusted math picture book duo David A. Adler and Ed Miller tackle the differences between two- and three-dimensional objects in their signature bright and kid-friendly way. Explaining length, width, and height-- and all the different ways we represent those figures-- Adler shows how changing the dimensions of an object affects its size. . . . with some help from a cast of funny, friendly movie monsters. Explaining key vocabulary in simple text and offering numerous concrete examples and sample math problems with included solutions, Perimeter, Area, and Volume is a perfect introduction to two- and three-dimensional geometry. The star-studded cast of monsters will help you calculate the perimeter of the set, the area of the movie screen, and the volume of your box of popcorn.Learning about dimensions has never been so entertaining!
Place Value
by David A. AdlerYou had better not monkey around when it comes to place value. The monkeys in this book can tell you why! As they bake the biggest banana cupcake ever, they need to get the amounts in the recipe correct. There’s a big difference between 216 eggs and 621 eggs. Place value is the key to keeping the numbers straight. Using humorous art, easy-to-follow charts and clear explanations, this book presents the basic facts about place value while inserting some amusing monkey business.