Author: Chris Rorres Publisher: Birkhäuser ISBN: 3319580590 Category : Mathematics Languages : en Pages : 160
Book Description
This book is a collection of papers presented at the “Archimedes in the 21st Century” world conference, held at the Courant Institute of Mathematical Sciences in 2013. This conference focused on the enduring and continuing influence of Archimedes in our modern world, celebrating his centuries of influence on mathematics, science, and engineering. Archimedes planted the seeds for a myriad of seminal ideas that would grow over the ages. Each chapter surveys the growth of one or more of these seeds, and the fruit that they continue to bear to this day. The conference speakers contributing to this book are actively involved in STEM fields whose origins trace back to Archimedes, many of whom have conducted and published research that extends Archimedes’ work into the 21st century. The speakers are not historians, so while historical context is provided, this book is uniquely focused on the works themselves as opposed to their history. The breadth and depth of Archimedes’ influence will inspire, delight, and even surprise readers from a variety of fields and interests including historians, mathematicians, scientists, and engineers. Only a modest background in math is required to read this book, making it accessible to curious readers of all ages.
Author: C. Mammana Publisher: Springer Science & Business Media ISBN: 9401152268 Category : Education Languages : en Pages : 353
Book Description
In recent years geometry seems to have lost large parts of its former central position in mathematics teaching in most countries. However, new trends have begun to counteract this tendency. There is an increasing awareness that geometry plays a key role in mathematics and learning mathematics. Although geometry has been eclipsed in the mathematics curriculum, research in geometry has blossomed as new ideas have arisen from inside mathematics and other disciplines, including computer science. Due to reassessment of the role of geometry, mathematics educators and mathematicians face new challenges. In the present ICMI study, the whole spectrum of teaching and learning of geometry is analysed. Experts from all over the world took part in this study, which was conducted on the basis of recent international research, case studies, and reports on actual school practice. This book will be of particular interest to mathematics educators and mathematicians who are involved in the teaching of geometry at all educational levels, as well as to researchers in mathematics education.
Author: Andrey V. Korotayev Publisher: Springer Nature ISBN: 3030337308 Category : History Languages : en Pages : 619
Book Description
This book introduces a 'Big History' perspective to understand the acceleration of social, technological and economic trends towards a near-term singularity, marking a radical turning point in the evolution of our planet. It traces the emergence of accelerating innovation rates through global history and highlights major historical transformations throughout the evolution of life, humans, and civilization. The authors pursue an interdisciplinary approach, also drawing on concepts from physics and evolutionary biology, to offer potential models of the underlying mechanisms driving this acceleration, along with potential clues on how it might progress. The contributions gathered here are divided into five parts, the first of which studies historical mega-trends in relation to a variety of aspects including technology, population, energy, and information. The second part is dedicated to a variety of models that can help understand the potential mechanisms, and support extrapolation. In turn, the third part explores various potential future scenarios, along with the paths and decisions that are required. The fourth part presents philosophical perspectives on the potential deeper meaning and implications of the trend towards singularity, while the fifth and last part discusses the implications of the Search for Extraterrestrial Intelligence (SETI). Given its scope, the book will appeal to scholars from various disciplines interested in historical trends, technological change and evolutionary processes.
Author: Claire O'Neal Publisher: Mitchell Lane Publishers, Inc. ISBN: 161228499X Category : Juvenile Nonfiction Languages : en Pages : 48
Book Description
Archimedes of Syracuse (287 BCE-212 BCE) was so ahead of his time that even now we take many of his discoveries for granted. He calculated properties of circles, spheres, cylinders, and cones, writing equations that we still use today. He calculated [p] and came very close to discovering calculus, nearly beating Sir Isaac Newton by 2,000 years. He discovered why things float or sink. He learned why levers work. This creative genius saw math everywhere, from seashells to the fearsome war machines—like the catapult, missiles, and even a mirrored laser—he made to defend his hometown from the Roman navy. In the mind of this master of thought, math truly held the secrets to the universe.
Author: Chris Caple Publisher: Taylor & Francis ISBN: 1000876764 Category : Art Languages : en Pages : 276
Book Description
Conservation Skills for the 21st Century provides a much-needed update to the original Conservation Skills volume, presenting an overview of current issues facing conservators of historic and artistic works. Beginning with the basics – why the past is important, as well as an overview of the nature and history of conservation – the book allows the reader to develop a holistic appreciation of the subject. As with the first edition, this volume assists with the development of judgement in conservation students and young professionals. A selection of new case studies representing issues conservators are likely to face in the 21st century illustrates the crucial considerations that must be made when proposing and executing a conservation treatment. Incorporating recent developments and use of new technologies in conservation processes, the book also covers topics such as conservation ethics; recording and documentation; investigating and cleaning objects; stabilisation and restoration; values, decision-making, and responsibilities; preventive conservation; approaches to the treatment of working and socially active objects; sustainability in conservation; and the conservator’s role as advocate. With detailed case studies and written in a clear, accessible style, Conservation Skills for the 21st Century remains essential reading for student conservators and conservation professionals around the globe working across a wide range of conservation disciplines.
Author: S. A. Paipetis Publisher: Springer Science & Business Media ISBN: 9048190916 Category : Technology & Engineering Languages : en Pages : 515
Book Description
Archimedes is held in high esteem by mathematicians, physicists and engineers as one of the most brilliant scientists of all time. These proceedings contain original, unpublished papers with the primary emphasis on the scientific work of Archimedes and his influence on the fields of mathematics, science, and engineering. There are also papers dealing with archaeological aspects and the myths and legends about Archimedes and about the Archimedes Palimpsest. Papers on the following subjects form part of the book: Hydrostatics (buoyancy, fluid pressure and density, stability of floating bodies); Mechanics (levers, pulleys, centers of gravity, laws of equilibrium); Pycnometry (measurement of volume and density); Integral Calculus (Archimedes as the father of the integral calculus, method of exhaustion, approximation of pi, determination of areas and volumes); Mathematical Physics (Archimedes as the father of mathematical physics, Law of the Lever, Law of Buoyancy, Axiomatization of Physics); History of Mathematics and Mechanics (Archimedes’ influence in antiquity, the middle ages, the Renaissance, and modern times; his influence on Leonado da Vinci, Galileo, Newton, and other giants of science and mathematics); Ancient Machines and Mechanisms (catapults, water screws, iron hands, compound pulleys, planetaria, water clocks, celestial globes, the Antikythera Mechanism); Archimedean Solids (their rediscovery in the Rennaisance and their applications in materials science and chemistry); Archimedean Legends (how stories of golden crowns, eureka moments, naked runs, burning mirrors, steam cannons, etc., have influenced us through the ages, whether true or not); The Cattle Problem (how its 18th century rediscovery inspired the study of equations with integer solutions); Teaching the Ideas of Archimedes (how his life and works have influenced the teaching of science, mathematics, and engineering).
Author: Jill B. Cummings Publisher: Springer ISBN: 9463510478 Category : Education Languages : en Pages : 22
Book Description
In a rapidly changing world the importance of creativity is more apparent than ever. As a result, creativity is now essential in education. Creative Dimensions of Teaching and Learning in the 21st Century appeals to educators across disciplines teaching at every age level who are challenged daily to develop creative practices that promote innovation, critical thinking and problem solving. The thirty-five original chapters written by educators from different disciplines focus on theoretical and practical strategies for teaching creatively in contexts ranging from mathematics to music, art education to second language learning, aboriginal wisdom to technology and STEM. They explore and illustrate deep learning that is connected to issues vital in education – innovation, identity, engagement, relevance, interaction, collaboration, on-line learning, dynamic assessment, learner autonomy, sensory awareness, social justice, aesthetics, critical thinking, digital media, multi-modal literacy and more. The editors and authors share their passion for creativity, teaching, learning, curriculum, and teacher education in this collection that critically examines creative practices that are appearing in today’s public schools, post-secondary institutions and adult and community learning centres. Creativity is transforming education in the 21st century.
Author: Eugenia Koleza Publisher: Common Ground Research Networks ISBN: 1863352511 Category : Education Languages : en Pages : 210
Book Description
In recent years, there has been a focus on promoting the uptake of STEM subjects in schools. This has been driven by the need to ensure that young people gain the knowledge and skills essential to help them participate in a society in which mathematics, science and technology are increasingly important. Nevertheless, reform efforts, including curriculum development, have treated the STEM subjects mostly in isolation. Recognizing that efforts for education within each individual STEM discipline would encourage a wide range of conservations about different important aspects of teaching and learning, this conference considered the potential benefits and challenges for the integration of various STEM’s characteristics into education. In order to prepare students to address the problems of our society, it is necessary to provide them with opportunities to understand these problems through rich, engaging and powerful experiences that integrate the disciplines of STEM. This volume contains selected papers presented at the Hellenic Conferences “Innovating STEM education – HiSTEM 2016 and 2018” organized by the Postgraduate Program “Interdisciplinary Approach on Science, Technology, Engineering and Mathematics in Education – STEM Education” (stemeducation.upatras.gr). The first eleven papers were presented at the HiSTEM 2016 Conference and the last six papers at the HiSTEM 2018 Conference. These papers were selected after a peer review process from the conferences’ submitted papers. The conferences provided a platform for dissemination of best practices in teaching and learning STEM in Greece and also inspired and empowered STEM educators to improve teaching quality, to increase engagement in STEM education and career pathways, to connect students with real life industry relevancy and to drive creativity, inquiry-based learning, problem-solving and project-based learning.
Author: Dana Mackenzie Publisher: American Mathematical Soc. ISBN: 9780821885970 Category : Mathematics Languages : en Pages : 140
Book Description
A new twist in knot theory -- Error-term roulette and the Sato-Tate conjecture -- The fifty-one percent solution -- Dominos, anyone? -- No seeing is believing -- Getting with the (Mori) program -- The book that time couldn't erase -- Charting a 248-dimensional world -- Compressed sensing makes every pixel count.
Author: Pierre Gilles Lemarie-Rieusset Publisher: CRC Press ISBN: 1003807429 Category : Mathematics Languages : en Pages : 778
Book Description
Praise for the first edition “The author is an outstanding expert in harmonic analysis who has made important contributions. The book contains rigorous proofs of a number of the latest results in the field. I strongly recommend the book to postgraduate students and researchers working on challenging problems of harmonic analysis and mathematical theory of Navier-Stokes equations." —Gregory Seregin, St Hildas College, Oxford University “"This is a great book on the mathematical aspects of the fundamental equations of hydrodynamics, the incompressible Navier-Stokes equations. It covers many important topics and recent results and gives the reader a very good idea about where the theory stands at present.” —Vladimir Sverak, University of Minnesota The complete resolution of the Navier–Stokes equation—one of the Clay Millennium Prize Problems—remains an important open challenge in partial differential equations (PDEs) research despite substantial studies on turbulence and three-dimensional fluids. The Navier–Stokes Problem in the 21st Century, Second Edition continues to provide a self-contained guide to the role of harmonic analysis in the PDEs of fluid mechanics, now revised to include fresh examples, theorems, results, and references that have become relevant since the first edition published in 2016.
Author: Chris Rorres
Author: C. Mammana
Author: Andrey V. Korotayev
Author: Claire O'Neal
Author: Chris Caple
Author: S. A. Paipetis
Author: Jill B. Cummings
Author: Eugenia Koleza
Author: Dana Mackenzie
Author: Pierre Gilles Lemarie-Rieusset