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Basic Algebraic Topology and its Applications
by Mahima Ranjan AdhikariThis book provides an accessible introduction to algebraic topology, a field at the intersection of topology, geometry and algebra, together with its applications. Moreover, it covers several related topics that are in fact important in the overall scheme of algebraic topology. Comprising eighteen chapters and two appendices, the book integrates various concepts of algebraic topology, supported by examples, exercises, applications and historical notes. Primarily intended as a textbook, the book offers a valuable resource for undergraduate, postgraduate and advanced mathematics students alike. Focusing more on the geometric than on algebraic aspects of the subject, as well as its natural development, the book conveys the basic language of modern algebraic topology by exploring homotopy, homology and cohomology theories, and examines a variety of spaces: spheres, projective spaces, classical groups and their quotient spaces, function spaces, polyhedra, topological groups, Lie groups and cell complexes, etc. The book studies a variety of maps, which are continuous functions between spaces. It also reveals the importance of algebraic topology in contemporary mathematics, theoretical physics, computer science, chemistry, economics, and the biological and medical sciences, and encourages students to engage in further study.
Basic Modern Algebra with Applications
by Mahima Ranjan Adhikari Avishek AdhikariThe book is primarily intended as a textbook on modern algebra for undergraduate mathematics students. It is also useful for those who are interested in supplementary reading at a higher level. The text is designed in such a way that it encourages independent thinking and motivates students towards further study. The book covers all major topics in group, ring, vector space and module theory that are usually contained in a standard modern algebra text. In addition, it studies semigroup, group action, Hopf's group, topological groups and Lie groups with their actions, applications of ring theory to algebraic geometry, and defines Zariski topology, as well as applications of module theory to structure theory of rings and homological algebra. Algebraic aspects of classical number theory and algebraic number theory are also discussed with an eye to developing modern cryptography. Topics on applications to algebraic topology, category theory, algebraic geometry, algebraic number theory, cryptography and theoretical computer science interlink the subject with different areas. Each chapter discusses individual topics, starting from the basics, with the help of illustrative examples. This comprehensive text with a broad variety of concepts, applications, examples, exercises and historical notes represents a valuable and unique resource.
Multicriteria and Multiobjective Models for Risk, Reliability and Maintenance Decision Analysis
by Adiel Teixeira de Almeida Cristiano Alexandre Virgínio Cavalcante Marcelo Hazin Alencar Rodrigo José Pires Ferreira Adiel Teixeira de Almeida-Filho Thalles Vitelli GarcezThis book integrates multiple criteria concepts and methods for problems within the Risk, Reliability and Maintenance (RRM) context. The concepts and foundations related to RRM are considered for this integration with multicriteria approaches. In the book, a general framework for building decision models is presented and this is illustrated in various chapters by discussing many different decision models related to the RRM context. The scope of the book is related to ways of how to integrate Applied Probability and Decision Making. In Applied Probability, this mainly includes: decision analysis and reliability theory, amongst other topics closely related to risk analysis and maintenance. In Decision Making, it includes a broad range of topics in MCDM (Multi-Criteria Decision Making) and MCDA (Multi-Criteria Decision Aiding; also known as Multi-Criteria Decision Analysis). In addition to decision analysis, some of the topics related to Mathematical Programming area are briefly considered, such as multiobjective optimization, since methods related to these topics have been applied to the context of RRM. The book addresses an innovative treatment for the decision making in RRM, thereby improving the integration of fundamental concepts from the areas of both RRM and decision making. This is accomplished by presenting an overview of the literature on decision making in RRM. Some pitfalls of decision models when applying them to RRM in practice are discussed and guidance on overcoming these drawbacks is offered. The procedure enables multicriteria models to be built for the RRM context, including guidance on choosing an appropriate multicriteria method for a particular problem faced in the RRM context. The book also includes many research advances in these topics. Most of the multicriteria decision models that are described are specific applications that have been influenced by this research and the advances in this field. Multicriteria and Multiobjective Models for Risk, Reliability and Maintenance Decision Analysis is implicitly structured in three parts, with 12 chapters. The first part deals with MCDM/A concepts methods and decision processes. The second part presents the main concepts and foundations of RRM. Finally the third part deals with specific decision problems in the RRM context approached with MCDM/A models.
Multicriteria and Optimization Models for Risk, Reliability, and Maintenance Decision Analysis: Recent Advances (International Series in Operations Research & Management Science #321)
by Adiel Teixeira de Almeida Love Ekenberg Philip Scarf Enrico Zio Ming J. ZuoThis book considers a broad range of areas from decision making methods applied in the contexts of Risk, Reliability and Maintenance (RRM). Intended primarily as an update of the 2015 book Multicriteria and Multiobjective Models for Risk, Reliability and Maintenance Decision Analysis, this edited work provides an integration of applied probability and decision making. Within applied probability, it primarily includes decision analysis and reliability theory, amongst other topics closely related to risk analysis and maintenance. In decision making, it includes multicriteria decision making/aiding (MCDM/A) methods and optimization models. Within MCDM, in addition to decision analysis, some of the topics related to mathematical programming areas are considered, such as multiobjective linear programming, multiobjective nonlinear programming, game theory and negotiations, and multiobjective optimization. Methods related to these topics have been applied to the context of RRM. In MCDA, several other methods are considered, such as outranking methods, rough sets and constructive approaches. The book addresses an innovative treatment of decision making in RRM, improving the integration of fundamental concepts from both areas of RRM and decision making. This is accomplished by presenting current research developments in decision making on RRM. Some pitfalls of decision models on practical applications on RRM are discussed and new approaches for overcoming those drawbacks are presented.
Innovation for Systems Information and Decision: Second International Meeting, INSID 2020, Recife, Brazil, December 2–4, 2020, Proceedings (Lecture Notes in Business Information Processing #405)
by Adiel Teixeira de Almeida Danielle Costa MoraisThis book constitutes the refereed proceedings of the Second International Meeting on Innovation for Systems Information and Decision meeting, INSID 2020, held in Recife, Brazil, in December 2020. Due to the COVID-19 pandemic the conference was held virtually. The 8 papers presented in this volume were carefully reviewed and selected from a total of 84 submissions to the main conference. The selected papers reflect methodological improvements and advances in Multicriteria Decision-Making/Multicriteria Decision-Aid (MCDM/MCDA) oriented toward real-world applications and contribute to the understanding of relevant developments of current research on and future trends of Innovation for Systems Information and Decision.
Innovation for Systems Information and Decision: Third Innovation for Systems Information and Decision Meeting, INSID 2021, Virtual Event, December 1–3, 2021, Proceedings (Lecture Notes in Business Information Processing #435)
by Adiel Teixeira de Almeida Danielle Costa MoraisThis book constitutes the refereed proceedings of the Third International Meeting on Innovation for Systems Information and Decision, INSID 2021, which was held during December 1-3, 2021. The conference was initially planned to take place in Recife, Brazil, but changed to a virtual meeting due to the COVID-19 pandemic. The 9 full papers presented in this volume were carefully reviewed and selected from a total of 76 submissions. They reflect methodological improvements and advances in multi-criteria decision-making/multi-criteria decision-aid (MCDM/MCDA) oriented toward real-world applications, which contribute to the understanding of relevant developments of current research on and future trends of innovation for systems information and decision.
Convexity and Discrete Geometry Including Graph Theory: Mulhouse, France, September 2014 (Springer Proceedings in Mathematics & Statistics #148)
by Karim Adiprasito Imre Bárány Costin VilcuThis volume presents easy-to-understand yet surprising properties obtained using topological, geometric and graph theoretic tools in the areas covered by the Geometry Conference that took place in Mulhouse, France from September 7-11, 2014 in honour of Tudor Zamfirescu on the occasion of his 70th anniversary. The contributions address subjects in convexity and discrete geometry, in distance geometry or with geometrical flavor in combinatorics, graph theory or non-linear analysis. Written by top experts, these papers highlight the close connections between these fields, as well as ties to other domains of geometry and their reciprocal influence. They offer an overview on recent developments in geometry and its border with discrete mathematics, and provide answers to several open questions. The volume addresses a large audience in mathematics, including researchers and graduate students interested in geometry and geometrical problems.
Recent Trends in Communication and Intelligent Systems: Proceedings of ICRTCIS 2023 (Algorithms for Intelligent Systems)
by Aditya Kumar Singh Pundir Anupam Yadav Swagatam DasThe book presents best selected research papers presented at the Fourth International Conference on Recent Trends in Communication and Intelligent Systems (ICRTCIS 2023), organized by Arya College of Engineering and IT, Jaipur, on April 28–29, 2023. It discusses the latest technologies in communication and intelligent systems, covering various areas of communication engineering, such as signal processing, VLSI design, embedded systems, wireless communications, and electronics and communications in general. Featuring work by leading researchers and technocrats, the book serves as a valuable reference resource for young researchers and academics as well as practitioners in industry.
Recent Trends in Communication and Intelligent Systems: Proceedings of ICRTCIS 2021 (Algorithms for Intelligent Systems)
by Aditya Kumar Singh Pundir Neha Yadav Harish Sharma Swagatam DasThis book presents best selected research papers presented at the Third International Conference on Recent Trends in Communication and Intelligent Systems (ICRTCIS 2021), organized by Arya College of Engineering and IT, Jaipur, on 22-23 October 2021. It discusses the latest technologies in communication and intelligent systems, covering various areas of communication engineering, such as signal processing, VLSI design, embedded systems, wireless communications, and electronics and communications in general. Featuring work by leading researchers and technocrats, the book serves as a valuable reference resource for young researchers and academics as well as practitioners in industry.
From Generation to Generation: The Health and Well-Being of Children in Immigrant Families
by Adjustment of Immigrant Families Committee on the HealthImmigrant children and youth are the fastest growing segment of the U.S. population, and so their prospects bear heavily on the well-being of the country. However, relevant public policy is shaped less by informed discussion than by politicized contention over welfare reform and immigration limits.From Generation to Generation explores what we know about the development of white, black, Hispanic, and Asian children and youth from numerous countries of origin. Describing the status of immigrant children and youth as "severely understudied," the committee both draws on and supplements existing research to characterize the current status and outlook of immigrant children.The book discusses the many factors--family size, fluency in English, parent employment, acculturation, delivery of health and social services, and public policies--that shape the outlook for the lives of these children and youth. The committee makes recommendations for improved research and data collection designed to advance knowledge about these children and, as a result, their visibility in current policy debates.
Reconfiguring Relations in the Empty Nest: Those Who Leave and Those Who Stay (Palgrave Macmillan Studies in Family and Intimate Life)
by Magdalena Żadkowska Marta Skowrońska Christophe Giraud Filip SchmidtThis edited volume traverses the spectrum of experiences that take place after children leave the family home and parents find themselves in the "empty nest" stage of life. Rather than focusing on measuring the intensity of empty nest syndrome or asking whether parents' marital satisfaction increases or decreases in this phase, the authors present rich qualitative data from across Poland and France to show that there is great variation in how families experience the empty nest, developing both a study on intimacy and love and on family solidarity. Throughout the book, themes of mixed emotions, nuanced attitudes, contradictions, and dissonance are explored while shedding light on "supporting actors" of the empty nest transition, such as family pets and material objects.
Wizards, Aliens, and Starships: Physics and Math in Fantasy and Science Fiction
by Charles L. AdlerExplaining the science behind science fiction and fantasy—from the probable to the impossibleFrom teleportation and space elevators to alien contact and interstellar travel, science fiction and fantasy writers have come up with some brilliant and innovative ideas. Yet how plausible are these ideas--for instance, could Mr. Weasley's flying car in the Harry Potter books really exist? Which concepts might actually happen, and which ones wouldn’t work at all? Wizards, Aliens, and Starships delves into the most extraordinary details in science fiction and fantasy--such as time warps, shape changing, rocket launches, and illumination by floating candle--and shows readers the physics and math behind the phenomena.With simple mathematical models, and in most cases using no more than high school algebra, Charles Adler ranges across a plethora of remarkable imaginings, from the works of Ursula K. Le Guin to Star Trek and Avatar, to explore what might become reality. Adler explains why fantasy in the Harry Potter and Dresden Files novels cannot adhere strictly to scientific laws, and when magic might make scientific sense in the muggle world. He examines space travel and wonders why it isn’t cheaper and more common today. Adler also discusses exoplanets and how the search for alien life has shifted from radio communications to space-based telescopes. He concludes by investigating the future survival of humanity and other intelligent races. Throughout, he cites an abundance of science fiction and fantasy authors, and includes concise descriptions of stories as well as an appendix on Newton's laws of motion.Wizards, Aliens, and Starships will speak to anyone wanting to know about the correct--and incorrect--science of science fiction and fantasy.
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.
Shape Up!: Fun with triangles and other polygons
by David A. AdlerUses cheese slices, pretzel sticks, a slice of bread, graph paper, a pencil, and more to introduce various polygons, flat shapes with varying numbers of straight sides.
Squares, Rectangles, and Other Quadrilaterals
by David A. AdlerGeometry is demystified in a new addition to a popular and amusing series of math picture books from a trusted team. Comical cats and dogs guide kids through the essential characteristics of squares, rectangles, parallelograms, rhomboids, and other quadrilaterals. Angles and degrees are explained in words and useful visuals. Kids will get a handle on geometric vocabulary and can try out plenty of hands-on activities that will help reinforce the concepts. A glossary is included.
Triangles
by David A. AdlerWith bright illustrations and clear, kid-friendly language, this book introduces one of the most basic geometric shapes to young readers. Formed of three sides and three angles, triangles are everywhere—especially on the pages of this book, where two kids and their robot friend assemble a brand-new bot from different types and sizes of triangles. This title defines important geometry vocabulary in simple, accessible terms, reinforcing the text with illustrations of the different types of and relationships between triangles. Activities on identifying, measuring, and comparing angles help readers understand these important ideas. Drawing on his years of experience teaching math, David Adler's text thoroughly introduces fundamental mathematical concepts. Colorfully illustrated by nonfiction veteran Ed Miller, this book is perfect for readers just beginning to study shapes and geometry.
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.
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>
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.
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.