Landscape Of 21st Century Mathematics

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Landscape of 21st Century Mathematics

Author : Bogdan Grechuk
Publisher : Springer Nature
ISBN 13 : 3030806278
Total Pages : 437 pages
Book Rating : 4.0/5 (38 download)

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Book Synopsis Landscape of 21st Century Mathematics by : Bogdan Grechuk

Download or read book Landscape of 21st Century Mathematics written by Bogdan Grechuk and published by Springer Nature. This book was released on 2021-09-21 with total page 437 pages. Available in PDF, EPUB and Kindle. Book excerpt: Landscape of 21st Century Mathematics offers a detailed cross section of contemporary mathematics. Important results of the 21st century are motivated and formulated, providing an overview of recent progress in the discipline. The theorems presented in this book have been selected among recent achievements whose statements can be fully appreciated without extensive background. Grouped by subject, the selected theorems represent all major areas of mathematics: number theory, combinatorics, analysis, algebra, geometry and topology, probability and statistics, algorithms and complexity, and logic and set theory. The presentation is self-contained with context, background and necessary definitions provided for each theorem, all without sacrificing mathematical rigour. Where feasible, brief indications of the main ideas of a proof are given. Rigorous yet accessible, this book presents an array of breathtaking recent advances in mathematics. It is written for everyone with a background in mathematics, from inquisitive university students to mathematicians curious about recent achievements in areas beyond their own.

Landscape of 21st Century Mathematics

Author : Bogdan Grechuk
Publisher :
ISBN 13 : 9783030806286
Total Pages : 0 pages
Book Rating : 4.8/5 (62 download)

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Book Synopsis Landscape of 21st Century Mathematics by : Bogdan Grechuk

Download or read book Landscape of 21st Century Mathematics written by Bogdan Grechuk and published by . This book was released on 2021 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Landscape of 21st Century Mathematics offers a detailed cross section of contemporary mathematics. Important results of the 21st century are motivated and formulated, providing an overview of recent progress in the discipline. The theorems presented in this book have been selected among recent achievements whose statements can be fully appreciated without extensive background. Grouped by subject, the selected theorems represent all major areas of mathematics: number theory, combinatorics, analysis, algebra, geometry and topology, probability and statistics, algorithms and complexity, and logic and set theory. The presentation is self-contained with context, background and necessary definitions provided for each theorem, all without sacrificing mathematical rigour. Where feasible, brief indications of the main ideas of a proof are given. Rigorous yet accessible, this book presents an array of breathtaking recent advances in mathematics. It is written for everyone with a background in mathematics, from inquisitive university students to mathematicians curious about recent achievements in areas beyond their own.

The First Sourcebook on Asian Research in Mathematics Education - 2 Volumes

Author : Bharath Sriraman
Publisher : IAP
ISBN 13 : 1681232790
Total Pages : 1798 pages
Book Rating : 4.6/5 (812 download)

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Book Synopsis The First Sourcebook on Asian Research in Mathematics Education - 2 Volumes by : Bharath Sriraman

Download or read book The First Sourcebook on Asian Research in Mathematics Education - 2 Volumes written by Bharath Sriraman and published by IAP. This book was released on 2015-08-01 with total page 1798 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics and Science education have both grown in fertile directions in different geographic regions. Yet, the mainstream discourse in international handbooks does not lend voice to developments in cognition, curriculum, teacher development, assessment, policy and implementation of mathematics and science in many countries. Paradoxically, in spite of advances in information technology and the “flat earth” syndrome, old distinctions and biases between different groups of researcher’s persist. In addition limited accessibility to conferences and journals also contribute to this problem. The International Sourcebooks in Mathematics and Science Education focus on under-represented regions of the world and provides a platform for researchers to showcase their research and development in areas within mathematics and science education. The First Sourcebook on Asian Research in Mathematics Education: China, Korea, Singapore, Japan, Malaysia and India provides the first synthesized treatment of mathematics education that has both developed and is now prominently emerging in the Asian and South Asian world. The book is organized in sections coordinated by leaders in mathematics education in these countries and editorial teams for each country affiliated with them. The purpose of unique sourcebook is to both consolidate and survey the established body of research in these countries with findings that have influenced ongoing research agendas and informed practices in Europe, North America (and other countries) in addition to serving as a platform to showcase existing research that has shaped teacher education, curricula and policy in these Asian countries. The book will serve as a standard reference for mathematics education researchers, policy makers, practitioners and students both in and outside Asia, and complement the Nordic and NCTM perspectives.

Theorems of the 21st Century

Author : Bogdan Grechuk
Publisher : Springer
ISBN 13 : 303019096X
Total Pages : 446 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Theorems of the 21st Century by : Bogdan Grechuk

Download or read book Theorems of the 21st Century written by Bogdan Grechuk and published by Springer. This book was released on 2019-06-15 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book consists of short descriptions of 106 mathematical theorems, which belong to the great achievements of 21st century mathematics but require relatively little mathematical background to understand their formulation and appreciate their importance. The selected theorems of this volume, chosen from the famous Annals of Mathematics journal, cover a broad range of topics from across mathematics. Each theorem description is essentially self-contained, can be read independently of the others, and requires as little preliminary knowledge as possible. Although the sections often start with an informal discussion and toy examples, all the necessary definitions are included and each description culminates in the precise formulation of the corresponding theorem. Filling the gap between surveys written for mathematicians and popular mathematics, this book is intended for readers with a keen interest in contemporary mathematics.

The Mathematical Legacy of Srinivasa Ramanujan

Author : M. Ram Murty
Publisher : Springer Science & Business Media
ISBN 13 : 8132207696
Total Pages : 185 pages
Book Rating : 4.1/5 (322 download)

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Book Synopsis The Mathematical Legacy of Srinivasa Ramanujan by : M. Ram Murty

Download or read book The Mathematical Legacy of Srinivasa Ramanujan written by M. Ram Murty and published by Springer Science & Business Media. This book was released on 2012-10-06 with total page 185 pages. Available in PDF, EPUB and Kindle. Book excerpt: Srinivasa Ramanujan was a mathematician brilliant beyond comparison who inspired many great mathematicians. There is extensive literature available on the work of Ramanujan. But what is missing in the literature is an analysis that would place his mathematics in context and interpret it in terms of modern developments. The 12 lectures by Hardy, delivered in 1936, served this purpose at the time they were given. This book presents Ramanujan’s essential mathematical contributions and gives an informal account of some of the major developments that emanated from his work in the 20th and 21st centuries. It contends that his work still has an impact on many different fields of mathematical research. This book examines some of these themes in the landscape of 21st-century mathematics. These essays, based on the lectures given by the authors focus on a subset of Ramanujan’s significant papers and show how these papers shaped the course of modern mathematics.

Mathematics and the 21st Century

Author : A. A. Ashour
Publisher : World Scientific
ISBN 13 : 9810245483
Total Pages : 412 pages
Book Rating : 4.8/5 (12 download)

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Book Synopsis Mathematics and the 21st Century by : A. A. Ashour

Download or read book Mathematics and the 21st Century written by A. A. Ashour and published by World Scientific. This book was released on 2001 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt: http://www.worldscientific.com/worldscibooks/10.1142/4633

Mathematics and 21st Century Biology

Author : National Research Council
Publisher : National Academies Press
ISBN 13 : 0309095840
Total Pages : 163 pages
Book Rating : 4.3/5 (9 download)

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Book Synopsis Mathematics and 21st Century Biology by : National Research Council

Download or read book Mathematics and 21st Century Biology written by National Research Council and published by National Academies Press. This book was released on 2005-07-16 with total page 163 pages. Available in PDF, EPUB and Kindle. Book excerpt: The exponentially increasing amounts of biological data along with comparable advances in computing power are making possible the construction of quantitative, predictive biological systems models. This development could revolutionize those biology-based fields of science. To assist this transformation, the U.S. Department of Energy asked the National Research Council to recommend mathematical research activities to enable more effective use of the large amounts of existing genomic information and the structural and functional genomic information being created. The resulting study is a broad, scientifically based view of the opportunities lying at the mathematical science and biology interface. The book provides a review of past successes, an examination of opportunities at the various levels of biological systemsâ€" from molecules to ecosystemsâ€"an analysis of cross-cutting themes, and a set of recommendations to advance the mathematics-biology connection that are applicable to all agencies funding research in this area.

Research in Mathematics Education in Australasia 2016–2019

Author : Jennifer Way
Publisher : Springer Nature
ISBN 13 : 9811542694
Total Pages : 383 pages
Book Rating : 4.8/5 (115 download)

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Book Synopsis Research in Mathematics Education in Australasia 2016–2019 by : Jennifer Way

Download or read book Research in Mathematics Education in Australasia 2016–2019 written by Jennifer Way and published by Springer Nature. This book was released on 2020-04-20 with total page 383 pages. Available in PDF, EPUB and Kindle. Book excerpt: The tenth edition of the four-yearly review of mathematics education research in Australasia, compiled by the Mathematics Education Research Group of Australasia (MERGA), critically reviews research in mathematics education in the four years from 2016 to 2019. Its goals are to provide a reference guide for researchers, and to promote further quality research in Australasia.

21st Century Geography

Author : Joseph P. Stoltman
Publisher : SAGE
ISBN 13 : 141297464X
Total Pages : 911 pages
Book Rating : 4.4/5 (129 download)

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Book Synopsis 21st Century Geography by : Joseph P. Stoltman

Download or read book 21st Century Geography written by Joseph P. Stoltman and published by SAGE. This book was released on 2012 with total page 911 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a theoretical and practical guide on how to undertake and navigate advanced research in the arts, humanities and social sciences.

Transforming Education for the 21st Century - Innovative Teaching Approaches

Author : S G Mohanraj
Publisher : OrangeBooks Publication
ISBN 13 :
Total Pages : 280 pages
Book Rating : 4./5 ( download)

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Book Synopsis Transforming Education for the 21st Century - Innovative Teaching Approaches by : S G Mohanraj

Download or read book Transforming Education for the 21st Century - Innovative Teaching Approaches written by S G Mohanraj and published by OrangeBooks Publication. This book was released on 2024-06-04 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Transforming Education for the 21st Century - Innovative Teaching Approaches" explores cutting-edge methods and strategies to revolutionize teaching in today's dynamic educational landscape. This comprehensive guide offers educators insights into incorporating innovative techniques, such as project-based learning, flipped classrooms, and personalized instruction, to engage and empower students for success in the digital age. With practical tips, case studies, and actionable advice, this book equips teachers with the tools they need to create enriching learning experiences that prepare students to thrive in an ever-evolving world. It's a must-read for educators seeking to reimagine education and inspire lifelong learning.

Geography in America at the Dawn of the 21st Century

Author : Gary L. Gaile
Publisher :
ISBN 13 : 9780199295869
Total Pages : 854 pages
Book Rating : 4.2/5 (958 download)

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Book Synopsis Geography in America at the Dawn of the 21st Century by : Gary L. Gaile

Download or read book Geography in America at the Dawn of the 21st Century written by Gary L. Gaile and published by . This book was released on 2005 with total page 854 pages. Available in PDF, EPUB and Kindle. Book excerpt: Geography in America at the Dawn of the 21st Century surveys American geographers' current research in their specialty areas and tracks trends and innovations in the many subfields of geography. As such, it is both a 'state of the discipline' assessment and a topical reference. It includes an introduction by the editors and 47 chapters, each on a specific specialty. The authors of each chapter were chosen by their specialty group of the American Association of Geographers (AAG). Based on a process of review and revision, the chapters in this volume have become truly representative of the recent scholarship of American geographers. While it focuses on work since 1990, it additionally includes related prior work and work by non-American geographers. The initial Geography in America was published in 1989 and has become a benchmark reference of American geographical research during the 1980s. This latest volume is completely new and features a preface written by the eminent geographer, Gilbert White.

Developing a 21st Century Global Library for Mathematics Research

Author : National Research Council
Publisher : National Academies Press
ISBN 13 : 0309298512
Total Pages : 142 pages
Book Rating : 4.3/5 (92 download)

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Book Synopsis Developing a 21st Century Global Library for Mathematics Research by : National Research Council

Download or read book Developing a 21st Century Global Library for Mathematics Research written by National Research Council and published by National Academies Press. This book was released on 2014-03-25 with total page 142 pages. Available in PDF, EPUB and Kindle. Book excerpt: Like most areas of scholarship, mathematics is a cumulative discipline: new research is reliant on well-organized and well-curated literature. Because of the precise definitions and structures within mathematics, today's information technologies and machine learning tools provide an opportunity to further organize and enhance discoverability of the mathematics literature in new ways, with the potential to significantly facilitate mathematics research and learning. Opportunities exist to enhance discoverability directly via new technologies and also by using technology to capture important interactions between mathematicians and the literature for later sharing and reuse. Developing a 21st Century Global Library for Mathematics Research discusses how information about what the mathematical literature contains can be formalized and made easier to express, encode, and explore. Many of the tools necessary to make this information system a reality will require much more than indexing and will instead depend on community input paired with machine learning, where mathematicians' expertise can fill the gaps of automatization. This report proposes the establishment of an organization; the development of a set of platforms, tools, and services; the deployment of an ongoing applied research program to complement the development work; and the mobilization and coordination of the mathematical community to take the first steps toward these capabilities. The report recommends building on the extensive work done by many dedicated individuals under the rubric of the World Digital Mathematical Library, as well as many other community initiatives. Developing a 21st Century Global Library for Mathematics envisions a combination of machine learning methods and community-based editorial effort that makes a significantly greater portion of the information and knowledge in the global mathematical corpus available to researchers as linked open data through a central organizational entity-referred to in the report as the Digital Mathematics Library. This report describes how such a library might operate - discussing development and research needs, role in facilitating discover and interaction, and establishing partnerships with publishers.

Our Mathematical Universe

Author : Max Tegmark
Publisher : Vintage
ISBN 13 : 0307744256
Total Pages : 434 pages
Book Rating : 4.3/5 (77 download)

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Book Synopsis Our Mathematical Universe by : Max Tegmark

Download or read book Our Mathematical Universe written by Max Tegmark and published by Vintage. This book was released on 2015-02-03 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: Max Tegmark leads us on an astonishing journey through past, present and future, and through the physics, astronomy and mathematics that are the foundation of his work, most particularly his hypothesis that our physical reality is a mathematical structure and his theory of the ultimate multiverse. In a dazzling combination of both popular and groundbreaking science, he not only helps us grasp his often mind-boggling theories, but he also shares with us some of the often surprising triumphs and disappointments that have shaped his life as a scientist. Fascinating from first to last—this is a book that has already prompted the attention and admiration of some of the most prominent scientists and mathematicians.

Creating a Forestry for the 21st Century

Author : Kathryn A. Kohm
Publisher : Island Press
ISBN 13 : 9781610913928
Total Pages : 516 pages
Book Rating : 4.9/5 (139 download)

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Book Synopsis Creating a Forestry for the 21st Century by : Kathryn A. Kohm

Download or read book Creating a Forestry for the 21st Century written by Kathryn A. Kohm and published by Island Press. This book was released on 1997 with total page 516 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over the past decade, a sea change has occurred in the field of forestry. A vastly increased understanding of how ecological systems function has transformed the science from one focused on simplifying systems, producing wood, and managing at the stand-level to one concerned with understanding and managing complexity, providing a wide range of ecological goods and services, and managing across broad landscapes.Creating a Forestry for the 21st Century is an authoritative and multidisciplinary examination of the current state of forestry and its relation to the emergent field of ecosystem management. Drawing upon the expertise of top professionals in the field, it provides an up-to-date synthesis of principles of ecosystem management and their implications for forest policy. Leading scientists, including Malcolm Hunter, Jr., Bruce G. Marcot, James K. Agee, Thomas R. Crow, Robert J. Naiman, John C. Gordon, R.W. Behan, Steven L. Yaffee, and many others examine topics that are central to the future of forestry: new understandings of ecological processes and principles, from stand structure and function to disturbance processes and the movement of organisms across landscapes challenges to long-held assumptions: the rationale for clearcutting, the wisdom of short rotations, the exclusion of fire traditional tools in light of expanded goals for forest landscapes managing at larger spatial scales, including practical information and ideas for managing large landscapes over long time periods the economic, organizational, and political issues that are critical to implementing successful ecosystem management and developing institutions to transform knowledge into action Featuring a 16-page center section with color photographs that illustrate some of the best on-the-ground examples of ecosystem management from around the world, Creating a Forestry for the 21st Century is the definitive text on managing ecosystems. It provides a compelling case for thinking creatively beyond the bounds of traditional forest resource management, and will be essential reading for students; scientists working in state, federal, and private research institutions; public and private forest managers; staff members of environmental/conservation organizations; and policymakers.

Community Colleges in the Evolving STEM Education Landscape

Author : National Research Council
Publisher : National Academies Press
ISBN 13 : 0309256542
Total Pages : 156 pages
Book Rating : 4.3/5 (92 download)

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Book Synopsis Community Colleges in the Evolving STEM Education Landscape by : National Research Council

Download or read book Community Colleges in the Evolving STEM Education Landscape written by National Research Council and published by National Academies Press. This book was released on 2012-08-24 with total page 156 pages. Available in PDF, EPUB and Kindle. Book excerpt: The National Research Council (NRC) and National Academy of Engineering (NAE) have released a new report, Community Colleges in the Evolving STEM Education Landscape: Summary of a Summit. Based on a national summit that was supported by the National Science Foundation and organized by the NRC and the NAE, the report highlights the importance of community colleges, especially in emerging areas of STEM (Sciene, Technology, Engineering, and Mathematics) and preparation of the STEM workforce. Community colleges are also essential in accommodating growing numbers of students and in retraining displaced workers in skills needed in the new economy. Community Colleges in the Evolving STEM Education Landscape: Summary of a Summit looks at the changing and evolving relationships between community colleges and four-year institutions, with a focus on partnerships and articulation processes that can facilitate student success in STEM; expanding participation of students from historically underrepresented populations in undergraduate STEM education; and how subjects, such as mathematics, can serve as gateways or barriers to college completion.

Education in the 21st Century

Author : Amanda Berry
Publisher : Springer Nature
ISBN 13 : 3030853004
Total Pages : 199 pages
Book Rating : 4.0/5 (38 download)

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Book Synopsis Education in the 21st Century by : Amanda Berry

Download or read book Education in the 21st Century written by Amanda Berry and published by Springer Nature. This book was released on 2022-01-31 with total page 199 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores a range of issues central to STEM and 21st Century education. It explores research into the relationships between creativity, critical thinking and STEM Education from both a theoretical and practical perspective. It examines matters associated with three main concerns: First is the ways some research and development that is labelled “STEM” appears to be essentially one of the specific individual components, S, T, E or M, with a new label rather than something going across and/or beyond these more traditional components. The second, at times intertwining, concern is the common ways in which school curriculum continues to hold separate disciplines as its core. The third concern is that while cross-curriculum goals are increasingly common in this century - particularly for “creativity” and “critical thinking” - it is also common that the goals remain only vaguely linked with the more usual components of the whole curriculum. This book reflects on all three of these important concerns and the integrated whole that can result from them. Monash University, King’s College London and Waikato University have now generated six edited books on successive related research issues of significance to contemporary science education. Each of these books has been substantially shaped by a writing workshop involving all authors in intensive discussion about drafts of their contributions (a process of great worth in its own right, as well as for enhancing the value of the final volume), and then each author reworking the contribution in the light of the discussions The seventh will extend beyond science education and explore a range of issues central to STEM and 21st Century education.

Transforming Digital Learning and Assessment

Author : Peggy L. Maki
Publisher : Taylor & Francis
ISBN 13 : 1000978745
Total Pages : 269 pages
Book Rating : 4.0/5 (9 download)

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Book Synopsis Transforming Digital Learning and Assessment by : Peggy L. Maki

Download or read book Transforming Digital Learning and Assessment written by Peggy L. Maki and published by Taylor & Francis. This book was released on 2023-07-03 with total page 269 pages. Available in PDF, EPUB and Kindle. Book excerpt: Responding to both the trend towards increasing online enrollments as the demand for face-to-face education declines, and to the immediate surge in remote learning owing to the COVID-19 pandemic, this book provides vital guidance to higher education institutions on how to develop faculty capacity to teach online and to leverage the affordances of an ever-increasing array of new and emerging learning technologies.This book provides higher education leaders with the context they need to position their institutions in the changing online environment, and with guidance to build support in a period of transition.It is intended for campus leaders and administrators who work with campus teams charged with identifying learning technologies to meet an agreed upon program- or institution-level educational needs; for those coordinating across campus to build consensus on implementing online strategies; and for instructional designers, faculty developers and assessment directors who assist departments and faculty effectively integrate learning technologies into their courses and programs. It will also appeal to faculty who take an active interest in improving online teaching.The contributors to this volume describe the potential of artificial intelligence algorithms, such as those that fuel learning analytics software that mines LMS data to enable faculty to quickly and efficiently assess individual students’ progress in real time, prompting either individual attention or the need to more generally clarify concepts for the class as whole. They describe and provide access to a hybrid professional development MOOC and an associated WIKI that curate information about a wide range of learning software solutions currently available; and present case studies that offer guidance on building the buy-in and consensus needed to successfully integrate learning technologies into course, program- and institution-level contexts.In sum, this book provides readers with a comprehensive understanding of the technological capabilities available to them and identifies collaborative processes related to engaging and building institutional support for the changes needed to provide the rapidly growing demand for effective and evidence-based online learning.