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Math 100 Ideas in 100 Words: A Whistle-stop Tour of Science’s Key Concepts
by DKGet to grips with the essential topics in maths today through 100 key ideas, each one explained clearly in 100 words.Math: 100 Ideas in 100 Words offers the essential facts at your fingertips, satisfying your mathematical curiosity and helping you to understand the biggest concepts in math in concise, 100-word summaries. One of the first titles in a cutting-edge new series created in partnership with The Science Museum, this book introduces 100 key areas of math such as geometry, algebra, probability and pure math, and explains each topic in just 100 words. Perfect for getting your head around big ideas clearly and quickly, or refreshing your memory of the fundamentals of math, this book covers the most up-to-date terms and theories and inspires a heightened level of understanding and enjoyment to the core areas of math.
The Math Adventurers: Discover Height and Length (The Math Adventurers)
by Sital Gorasia ChapmanJoin two friendly and funny robots, Beep and Boots, as they learn all about measuring and discover that math is everywhere they look.Beep and Boots have an exciting, fun-packed day planned at the amusement park. The pals cannot wait to enjoy all the rides together. But when they check their heights, Boots is not tall enough to go on a lot of the rides. And going to an amusement park is no fun if you can&’t share it with friends. Will Beep be able to come up with a solution so the pair can go on the really high Star Drop ride? Wheeeeee! This fun and educational math book for children features: - A fun and engaging introduction to measurements for children aged 5-7.- Lively illustrations and rhyming text that brings the characters and math topics to life.- Key math topics including shapes, time, measurements, division, and fractions – all essential learning for this age group.- Illustrations that are in a non-gendered color palette, making the traditionally male subject relatable for all genders.- A relatable storyline for young readers, encouraging them to look for math in their homes and environments, and seeing how, often without even knowing it, they use math everyday. The characterful illustrations and rhyming text in the pages of this book bring Beep and Boots to life! Children aged 5–7 will love seeing the adventures the robot duo go on and will learn key mathematical concepts about measuring in a gentle, fun way. A series of questions at the end of the book reinforce learning and encourage kids to look at the math they can see in the world around them. At DK, we believe in the power of discovery. So why stop there?The Math Adventurers series uses everyday scenarios to show how math is all around us, making this difficult subject more accessible. If you enjoyed The Math Adventurers: Measure Up, then you&’ll love The Math Adventurers: A Day at the Zoo, which introduces children to telling the time!
Math and Science for Young Children
by Rosalind CharlesworthMATH AND SCIENCE FOR YOUNG CHILDREN, Eighth Edition, is an introduction to engaging math and science experiences for early childhood and early elementary education programs, and provides an organized, sequential approach to creating a developmentally appropriate math and science curriculum.
Math and Science Investigations: Helping Young Learners Make Big Discoveries
by The Vermont Center for the Book Sally AndersonChildren's books and hands-on investigations bring math and science concepts to life! Young children are naturally interested in the patterns and processes occurring in the world around them. They are beginning to learn about the changes happening each day, month, and season. They are starting to ask questions about the environment and world beyond. They are anxious to explore the creatures in their own backyard.Math and Science Investigations supports young children's natural curiosity and encourages them to explore what happens around them. Hands-on investigations help children learn the skills, concepts, and standards of mathematics, science, language, and literacy - all at the same time - using some of their favorite books. Themes include: Exploring Spaces (and Places!); What Comes Next?; Out and About; and Growing and Changing.Each investigation includes: * General introduction to the theme * Ideas to start you thinking about math, science, language, and literacy * Vocabulary related to the topic * Children's book suggestions
A Math-Based Writing System for Engineers: Sentence Algebra & Document Algorithms
by Brad HendersonThis book presents the generative rules for formal written communication, in an engineering context, through the lens of mathematics. Aimed at engineering students headed for careers in industry and professionals needing a “just in time” writing resource, this pragmatic text covers all that engineers need to become successful workplace writers, and leaves out all pedagogical piffle they do not. Organized into three levels of skill-specific instruction, A Math-Based Writing System for Engineers: Sentence Algebra & Document Algorithms guides readers through the process of building accurate, precise sentences to structuring efficient, effective reports. The book’s indexed design provides convenient access for both selective and comprehensive readers, and is ideal for university students; professionals seeking a thorough, “left -brained” treatment of English grammar and “go to” document structures; and ESL engineers at all levels.
Math for Scientists: Refreshing the Essentials
by Natasha Maurits Branislava Ćurčić-BlakeThis book reviews math topics relevant to non-mathematics students and scientists, but which they may not have seen or studied for a while. These math issues can range from reading mathematical symbols, to using complex numbers, dealing with equations involved in calculating medication equivalents, the General Linear Model (GLM) used in e.g. neuroimaging analysis, finding the minimum of a function, independent component analysis, or filtering approaches. Almost every student or scientist, will at some point run into mathematical formulas or ideas in scientific papers that may be hard to understand, given that formal math education may be some years ago. In this book we will explain the theory behind many of these mathematical ideas and expressions and provide readers with the tools to better understand them. We will revisit high school mathematics and extend and relate this to the mathematics you need to understand the math you may encounter in the course of your research. This book will help you understand the math and formulas in the scientific papers you read. To achieve this goal, each chapter mixes theory with practical pen-and-paper exercises such that you (re)gain experience with solving math problems yourself. Mnemonics will be taught whenever possible. To clarify the math and help readers apply it, each chapter provides real-world and scientific examples.In this new edition, two new chapters covering statistics and differential equations have been added, which have been workshopped in the 'authors' popular lecture series in order to maximize the benefit for readers.
The Math Gene: How Mathematical Thinking Evolved And Why Numbers Are Like Gossip
by Keith DevlinWhy is math so hard? And why, despite this difficulty, are some people so good at it? If there’s some inborn capacity for mathematical thinking--which there must be, otherwise no one could do it --why can’t we all do it well? Keith Devlin has answers to all these difficult questions, and in giving them shows us how mathematical ability evolved, why it’s a part of language ability, and how we can make better use of this innate talent. He also offers a breathtakingly new theory of language development--that language evolved in two stages, and its main purpose was not communication--to show that the ability to think mathematically arose out of the same symbol-manipulating ability that was so crucial to the emergence of true language. Why, then, can’t we do math as well as we can speak? The answer, says Devlin, is that we can and do--we just don’t recognize when we’re using mathematical reasoning.
The Math Instinct: Why You're a Mathematical Genius (Along with Lobsters, Birds, Cats, and Dogs)
by Keith DevlinThere are two kinds of math: the hard kind and the easy kind. The easy kind, practiced by ants, shrimp, Welsh Corgis - and us - is innate. But what innate calculating skills do we humans have? Leaving aside built-in mathematics, such as the visual system, ordinary people do just fine when faced with mathematical tasks in the course of the day. Yet when they are confronted with the same tasks presented as "math," their accuracy often drops. If we have innate mathematical ability, why do we have to teach math and why do most of us find it so hard to learn? Are there tricks or strategies that the ordinary person can do to improve mathematical ability? Can we improve our math skills by learning from dogs, cats, and other creatures that "do math?" The answer to each of these questions is a qualified yes. All these examples of animal math suggest that if we want to do better in the formal kind of math, we should see how it arises from natural mathematics. From NPR's "Math Guy," The Math Instinct is a real celebration of innate math sense and will provide even the most number-phobic readers with confidence in their own mathematical abilities.
Math-ish: Finding Creativity, Diversity, and Meaning in Mathematics
by Jo BoalerFrom Stanford professor, author of Limitless Mind, youcubed.org founder, and leading expert in the field of mathematics education Jo Boaler comes a groundbreaking guide to finding joy and understanding by adopting a diverse approach to learning math.“Every once in a while, someone revolutionizes an approach to a difficult subject and changes it forever. That is what Jo Boaler has done for math. Fresh, smart, and inclusive, Jo Boaler's strategy eschews the one-size-fits-a-few approach and instead allows math to be seen and solved by everyone. A huge achievement. Math-ish is the only math book I’ve ever enjoyed reading in my entire life. Honestly.” -Bonnie Garmus, author of Lessons in ChemistryMathematics is a fundamental part of life, yet every one of us has a unique relationship with learning and understanding the subject. Working with numbers may inspire confidence in our abilities or provoke anxiety and trepidation. Stanford researcher, mathematics education professor, and the leading expert on math learning Dr. Jo Boaler argues that our differences are the key to unlocking our greatest mathematics potential.In Math-ish, Boaler shares new neuroscientific research on how embracing the concept of “math-ish”—a theory of mathematics as it exists in the real world—changes the way we think about mathematics, data, and ourselves. When we can see the value of diversity among people and multi-faceted approaches to learning math, we are free to truly flourish. Utilizing the latest research on math education, Jo guides us through seven principles that can radically reframe our relationship with the subject:• The power of mindset on learning• Utilizing a visual approach to math• The impact of physical movement and communication on understanding• Understanding the value of an "ish" perspective - in mathematics and beyond• The importance of connected and flexible knowledge• New data on diverse teaching modes that work with different learning styles, not against them• The value of diversity in learning mathematics—and beyondWhen mathematics is approached more broadly, inclusively, and with a greater sense of wonder and play—when we value the different ways people see, approach, and understand it—we empower ourselves and gain a beneficial understanding of its value in our lives.
Math Maker Lab: 27 Super Cool Projects (DK Activity Lab)
by DKA fun and engaging STEM activity book for kids that combines creativity and calculations - perfect for budding mathematicians!This is the perfect math exercise book for children interested in the STEM field. Choose between 27 creative projects and experiments that will turn your child into a math whizz! It's the perfect book for curious minds interested in taking the mystery out of math. Explore the exciting world of numbers and math problem-solving! In the pages of this math book for kids you&’ll discover: • 27 hands-on creative projects to engage reluctant mathematicians between the ages of 9-12 • Easy-to-follow step-by-step instructions will show you how to make each project • All materials used can be easily found around your home with no specialist equipment needed • Every project includes an explanation of how math is involved in creating the project or the results of the experiment • Real-world math projects show that math isn&’t just abstract - it has an impact in the real world too! Produced in conjunction with the Smithsonian Institution, SI Math Maker Lab is designed to appeal to math geeks and those that prefer practical projects. To complete these engaging projects, kids don&’t need to be math geniuses or even know how to use a calculator. Each task comes with easy-to-follow instructions, photographs, and illustrations to help whip up super cool mathematics creations!SI Math Maker Lab features interesting activities that cover many aspects of the subject including measurement, geometry, and trigonometry. Kids will combine art and math by learning to draw impossible objects - creating beautiful patterns to make things like a timetable dreamcatcher or perfect the ratio for making refreshing fruit drinks. Each project has an explanatory box that demonstrates how math is applied to the activity to demystify and make math fun!
The Math of Life and Death: 7 Mathematical Principles That Shape Our Lives
by Kit YatesA brilliant and entertaining mathematician illuminates seven mathematical principles that shape our lives. &“Kit Yates shows how our private and social lives are suffused by mathematics. Ignorance may bring tragedy or farce. This is an exquisitely interesting book. It&’s a deeply serious one too and, for those like me who have little math, it&’s delightfully readable.&” —Ian McEwan, author of Atonement &“Kit Yates is a natural storyteller. Through fascinating stories and examples, he shows how maths is the beating heart of so much of modern life. An exciting new voice in the world of science communication.&” —Marcus du Sautoy, author of The Music of the PrimesFrom birthdays to birth rates to how we perceive the passing of time, mathematical patterns shape our lives. But for those of us who left math behind in high school, the numbers and figures hurled at us as we go about our days can sometimes leave us scratching our heads and feeling as if we&’re fumbling through a mathematical minefield. In this eye-opening and extraordinarily accessible book, mathematician Kit Yates illuminates hidden principles that can help us understand and navigate the chaotic and often opaque surfaces of our world. In The Math of Life and Death, Yates takes us on a fascinating tour of everyday situations and grand-scale applications of mathematical concepts, including exponential growth and decay, optimization, statistics and probability, and number systems. Along the way he reveals the mathematical undersides of controversies over DNA testing, medical screening results, and historical events such as the Chernobyl disaster and the Amanda Knox trial. Readers will finish this book with an enlightened perspective on the news, the law, medicine, and history, and will be better equipped to make personal decisions and solve problems with math in mind, whether it&’s choosing the shortest checkout line at the grocery store or halting the spread of a deadly disease.
Math on Trial: How Numbers Get Used and Abused in the Courtroom
by Leila Schneps Coralie ColmezIn the wrong hands, math can be deadly. Even the simplest numbers can become powerful forces when manipulated by journalists, politicians or other public figures, but in the case of the law your libertyOCoand your lifeOCocan depend on the right calculation. "Math on Trial" tells the story of ten trials in which mathematical arguments were usedOCoand disastrously misusedOCoas evidence. Despite years of math classes, most people (and most jurors) fail to detect even simple mathematical sophistry, resulting in such horrors as a medical expertOCOs faulty calculation of probabilities providing the key evidence for a British motherOCOs conviction for the murder of her two babies. The conviction was later overturned, but three years in prison took its tollOCoSally Clark died of acute alcohol intoxication in March of 2007. Mathematicians Leila Schneps and Coralie Colmez use a wide range of examples, from a mid-19th-century dispute over wills that became a signal case in the forensic use of mathematics, to the conviction and subsequent exoneration of Amanda Knox, to show how the improper application of mathematical concepts can mean the difference between walking free and life in prison. The cases discussed include: -The Case of Amanda Knox (How a judgeOCOs denial of a second DNA test may have destroyed a chance to reveal the truth about Meredith KercherOCOs murder)-The Case of Joe Sneed (How a fabricated probability framed a son for his parentsOCO grisly killing)-The Case of Sally Clark (How multiplying non-independent probabilities landed an innocent mother in jail for the murder of her children)-The Case of Janet Collins (How unjustified estimates combined with a miscalculated probability convicted an innocent couple of violent robbery) A colorful narrative of mathematical abuse featuring such characters as Charles Ponzi, Alfred Dreyfus, Hetty Green, and Oliver Wendell Holmes, "Math on Trial" shows that legal expertise isnOCOt everything when it comes to proving a man innocent.
Math Teacher's Survival Guide: Practical Strategies, Management Techniques, and Reproducibles for New and Experienced Teachers, Grades 5-12
by Muschla Judith A. Gary Robert Erin MuschlaClassroom-tested strategies to help new and experienced math teachers thrive Math teachers must not only instruct their students in basic mathematical skills and concepts, they must also prepare them for standardized tests, provide instruction in the use of technology, and teach problem-solving and critical-thinking skills. At the same time, they must also manage their other responsibilities - taking attendance, planning, grading, record-keeping, disciplining, and communicating with parents and administrators. This book provides efficient and practical information on the management skills necessary to succeed in this most challenging profession. Offers realistic suggestions and strategies for planning and delivering effective math instruction Helps math teachers achieve excellence and continue to be enthusiastic and successful in their teaching careers Includes reproducible forms to help math teachers stay on top of everything they need to do The Math Teacher's Survival Guide contains a wealth of useful tools and strategies that can help any math teacher succeed in the classroom.
Mathe für Biologen
by Alan J. CannUm ein biologisches Experiment richtig planen, durchf hren und auswerten zu k nnen, muss man ber fundierte Kenntnisse grundlegender mathematischer und statistischer Operationen verf gen. Mathe f r Biologen bietet einen leicht verst ndlichen Zugang zur Mathematik, Statistik und Datenverarbeitung. Ob in Form von Exponentialrechnungen, Logarithmen oder bei der Berechnung von Molarit ten, Verd nnungen und Volumina - ohne Mathematik geht im Labor gar nichts. Die Kenntnis aller relevanten Ma einheiten und Umrechnungsverh ltnisse ist ebenso unverzichtbar wie eine sichere Beherrschung der wichtigsten statistischen Methoden und der Prinzipien der Wahrscheinlichkeitsrechnung. All dies vermittelt Mathe f r Biologen. Besonders junge Wissenschaftler, Diplomanden, Doktoranden und Angeh rige des technischen Personals d rften die einf hlsame Didaktik, den klaren Aufbau und die verst ndliche Sprache des Bandes zu sch tzen wissen. Jedes der elf Kapitel enth lt Kontrollfragen, anhand derer der Leser seine Lernfortschritte berpr fen kann. Die L sungen werden im Anhang ausf hrlich hergeleitet und erl utert. Das umfangreiche Glossar erschlie t die wichtigsten Fachbegriffe. So empfiehlt sich der Band sowohl als Begleiter bei der t glichen Laborarbeit als auch zum Nachschlagen beim Verfassen wissenschaftlicher Arbeiten.
Mathe in der (Bio-)Chemie I: Grundlagen der Analysis
by Marco KapitzkeDer Übergang von der Schulmathematik zur Hochschulmathematik kann oft für Verwirrung und Unsicherheit sorgen. Dieses Buch wurde geschrieben, um Ihnen diesen Übergang so sanft wie möglich zu gestalten. Es ist speziell für Studienanfängerinnen und -anfänger der (Bio-) Chemie konzipiert, die Mathematik auf eine Art und Weise erklärt haben möchten, dass man sie versteht: kompakt, anschaulich und und gespickt mit zahlreichen Beispielrechnungen. Was Sie in diesem Buch erwartet: • Fundamentale mathematische Grundlagen • Algebraische Strukturen • Funktionen einer Veränderlichen • Komplexe Zahlen • Folgen, Reihen und Grenzwerte • Differenzial- und Integralrechnung Für wen ist dieses Buch geeignet? Neben Studierenden der (Bio-)Chemie eignet sich das Lehrbuch auch • für naturwissenschaftliche und technische Studiengänge mit Chemiebezug (beispielsweise Chemieingenieurwesen, Lebensmittelchemie, Chemietechnik, Biologie und Biotechnologie), • als Brückenkurs für Physikstudierende und • für interessierte Schülerinnen und Schüler.
Mathematica Beyond Mathematics: The Wolfram Language in the Real World
by José Guillermo Sánchez LeónAlthough many books have been written about Mathematica, very few of them cover the new functionality added to the most recent versions of the program. Mathematica Beyond Mathematics: The Wolfram Language in the Real World introduces the new features using real-world examples, based on the experience of the author as a consultant. In the process, you will also learn more about the Wolfram Language and how you can use it to solve a wide variety of problems. The author raises questions from a wide range of topics and answers them by taking full advantage of Mathematica's latest features. For example; What sources of energy does the world really use? How can we calculate tolerance limits in manufacturing processes? Are our cities getting warmer? Is the novel El Quijote written in Pi? How can we find planets outside our solar system?
Mathematica Beyond Mathematics: The Wolfram Language in the Real World
by José Guillermo Sánchez LeónAlthough many books have been written about Mathematica, very few of them cover the new functionality added to the most recent versions of the program. This thoroughly revised second edition of Mathematica Beyond Mathematics: The Wolfram Language in the Real World introduces the new features using real-world examples based on the experience of the author as a consultant and Wolfram certified instructor. The examples strike a balance between relevance and difficulty in terms of Mathematica syntax, allowing readers to incrementally build up their Mathematica skills as they go through the chapters While reading this book, you will also learn more about the Wolfram Language and how to use it to solve a wide variety of problems. The author raises questions from a wide range of topics and answers them by taking full advantage of Mathematica's latest features. For example: What sources of energy does the world really use? Are our cities getting warmer? Is the novel El Quixote written in Pi? Is it possible to reliably date the Earth using radioactive isotopes? How can we find planets outside our solar system? How can we model epidemics, earthquakes and other natural phenomena? What is the best way to compare organisms genetically? This new edition introduces the new capabilities added to the latest version of Mathematica (version 13), and discusses new topics related to machine learning, big data, finance economics, and physics. New to the Second Edition Separate sections containing carefully selected additional resources that can be accessed from either Mathematica or online Online Supplementary materials including code snippets used in the book and additional examples. Updated commands to take full advantage of Mathematica 13.
Mathematica for Bioinformatics: A Wolfram Language Approach To Omics
by George MiasThis book offers a comprehensive introduction to using Mathematica and the Wolfram Language for Bioinformatics. The chapters build gradually from basic concepts and the introduction of the Wolfram Language and coding paradigms in Mathematica, to detailed worked examples derived from typical research applications using Wolfram Language code. The coding examples range from basic sequence analysis, accessing genomic databases, differential gene expression, and machine learning implementations to time series analysis of longitudinal omics experiments, multi-omics integration and building dynamic interactive bioinformatics tools using the Wolfram Language. The topics address the daily bioinformatics needs of a broad audience: experimental users looking to understand and visualize their data, beginner bioinformaticians acquiring coding expertise in providing biological research solutions, and practicing expert bioinformaticians working on omics who wish to expand their toolset to include the Wolfram Language.
Mathematica for Physicists and Engineers
by K. B. Kumar Antony P. MonteiroMathematica for Physicists and Engineers Hands-on textbook for learning how to use Mathematica to solve real-life problems in physics and engineering Mathematica for Physicists and Engineers provides the basic concepts of Mathematica for scientists and engineers, highlights Mathematica’s several built-in functions, demonstrates mathematical concepts that can be employed to solve problems in physics and engineering, and addresses problems in basic arithmetic to more advanced topics such as quantum mechanics. The text views mathematics and physics through the eye of computer programming, fulfilling the needs of students at master’s levels and researchers from a physics and engineering background and bridging the gap between the elementary books written on Mathematica and the reference books written for advanced users. Mathematica for Physicists and Engineers contains information on: Basics to Mathematica, its nomenclature and programming language, and possibilities for graphic output Vector calculus, solving real, complex and matrix equations and systems of equations, and solving quantum mechanical problems in infinite-dimensional linear vector spaces Differential and integral calculus in one and more dimensions and the powerful but elusive Dirac Delta function Fourier and Laplace transform, two integral transformations that are instrumental in many fields of physics and engineering for the solution of ordinary and partial differential equations Serving as a complete first course in Mathematica to solve problems in science and engineering, Mathematica for Physicists and Engineers is an essential learning resource for students in physics and engineering, master’s students in material sciences, geology, biological sciences theoretical chemists. Also lecturers in these and related subjects will benefit from the book.
A Mathematica Primer for Physicists (Textbook Series in Physical Sciences)
by Jim Napolitano<P>Learn how to use Mathematica quickly for basic problems in physics. The author introduces all the key techniques and then shows how they’re applied using common examples. Chapters cover elementary mathematics concepts, differential and integral calculus, differential equations, vectors and matrices, data analysis, random number generation, animation, and visualization. <P>Written in an appealing, conversational style <br>Presents important concepts within the framework of Mathematics <br>Gives examples from frequently encountered physics problems <br>Explains problem-solving in a step-by-step fashion ?<P>Jim Napolitano is professor and chair in the Department of Physics at Temple University.
Mathematical Adventures in Performance Analysis
by Eitan Bachmat This book describes problems in the field of performance analysis, primarily the study of storage systems and the diverse mathematical techniques that are required for solving them. Topics covered include best practices for scheduling I/O requests to a disk drive, how this problem is related to airplane boarding, and how both problems can be modeled using space-time geometry. Also provided is an explanation of how Riemann's proof of the analytic continuation and functional equation of the Riemann zeta function can be used to analyze express line queues in a minimarket. Overall, the book displays the surprising relevance of abstract mathematics that is not usually associated with applied mathematics topics. Advanced undergraduate students or graduate students with an interest in the applications of mathematics will find this book to be a useful resource. It will also be of interest to professional mathematicians who want exposure to the surprising ways that theoretical mathematics may be applied to engineering problems. To encourage further study, each chapter ends with notes pointing to various related topics that the reader may want pursue. This mathematically rigorous work was noted in the news section of the journal Nature, and in popular media such as New Scientist, The Wall Street Journal, The Guardian, and USA Today.
Mathematical Analysis and Computing: ICMAC 2019, Kalavakkam, India, December 23–24 (Springer Proceedings in Mathematics & Statistics #344)
by R. N. Mohapatra S. Yugesh G. Kalpana C. KalaivaniThis book is a collection of selected papers presented at the International Conference on Mathematical Analysis and Computing (ICMAC 2019) held at Sri Sivasubramaniya Nadar College of Engineering, Chennai, India, from 23–24 December 2019. Having found its applications in game theory, economics, and operations research, mathematical analysis plays an important role in analyzing models of physical systems and provides a sound logical base for problems stated in a qualitative manner. This book aims at disseminating recent advances in areas of mathematical analysis, soft computing, approximation and optimization through original research articles and expository survey papers. This book will be of value to research scholars, professors, and industrialists working in these areas.
Mathematical Analysis and Simulation of Field Models in Accelerator Circuits (Springer Theses)
by Idoia Cortes GarciaThis book deals with the analysis and development of numerical methods for the time-domain analysis of multiphysical effects in superconducting circuits of particle accelerator magnets. An important challenge is the simulation of “quenching”, i.e. the transition of a material from the superconducting to the normally electrically conductive state. The book analyses complex mathematical structures and presents models to simulate such quenching events in the context of generalized circuit elements. Furthermore, it proposes efficient parallelized algorithms with guaranteed convergence properties for the simulation of multiphysical problems. Spanning from theoretical concepts to applied research, and featuring rigorous mathematical presentations on one side, as well as simplified explanations of many complex issues, on the other side, this book provides graduate students and researchers with a comprehensive introduction on the state of the art and a source of inspiration for future research. Moreover, the proposed concepts and methods can be extended to the simulation of multiphysical phenomena in different application contexts.
Mathematical Analysis of Continuum Mechanics and Industrial Applications
by Hiromichi Itou Masato Kimura Vladimír Chalupecký Kohji Ohtsuka Daisuke Tagami Akira TakadaThis book focuses on mathematical theory and numerical simulation related to various aspects of continuum mechanics, such as fracture mechanics, elasticity, plasticity, pattern dynamics, inverse problems, optimal shape design, material design, and disaster estimation related to earthquakes. Because these problems have become more important in engineering and industry, further development of mathematical study of them is required for future applications. Leading researchers with profound knowledge of mathematical analysis from the fields of applied mathematics, physics, seismology, engineering, and industry provide the contents of this book. They help readers to understand that mathematical theory can be applied not only to different types of industry, but also to a broad range of industrial problems including materials, processes, and products.
Mathematical Analysis of Continuum Mechanics and Industrial Applications II
by Patrick Van Meurs Masato Kimura Hirofumi NotsuAs the sequel to the proceedings of the International Conference of Continuum Mechanics Focusing on Singularities (CoMFoS15), the proceedings of CoMFoS16 present further advances and new topics in mathematical theory and numerical simulations related to various aspects of continuum mechanics. These include fracture mechanics, shape optimization, modeling of earthquakes, material structure, interface dynamics and complex systems. . The authors are leading researchers with a profound knowledge of mathematical analysis from the fields of applied mathematics, physics, seismology, engineering, and industry. The book helps readers to understand how mathematical theory can be applied to various industrial problems, and conversely, how industrial problems lead to new mathematical challenges.