Landscape Of 21st Century Mathematics

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Landscape of 21st Century Mathematics

Bogdan Grechuk
Landscape of 21st Century Mathematics Book PDF

Author : Bogdan Grechuk
Publisher : Springer Nature
Page : 437 pages
File Size : 44,9 Mb
Release : 2021-09-21
Category : Mathematics
ISBN : 9783030806279

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Landscape of 21st Century Mathematics by Bogdan Grechuk Pdf

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

Bogdan Grechuk
Landscape of 21st Century Mathematics Book PDF

Author : Bogdan Grechuk
Publisher : Unknown
Page : 0 pages
File Size : 49,8 Mb
Release : 2021
Category : Electronic
ISBN : 3030806286

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Landscape of 21st Century Mathematics by Bogdan Grechuk Pdf

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

Bharath Sriraman,Jinfa Cai,Kyeonghwa Lee,Lianghuo Fan,Yoshinori Shimizu,Chap Sam Lim,K. Subramaniam
The First Sourcebook on Asian Research in Mathematics Education 2 Volumes Book PDF

Author : Bharath Sriraman,Jinfa Cai,Kyeonghwa Lee,Lianghuo Fan,Yoshinori Shimizu,Chap Sam Lim,K. Subramaniam
Publisher : IAP
Page : 1798 pages
File Size : 46,9 Mb
Release : 2015-08-01
Category : Education
ISBN : 9781681232799

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The First Sourcebook on Asian Research in Mathematics Education - 2 Volumes by Bharath Sriraman,Jinfa Cai,Kyeonghwa Lee,Lianghuo Fan,Yoshinori Shimizu,Chap Sam Lim,K. Subramaniam Pdf

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

Bogdan Grechuk
Theorems of the 21st Century Book PDF

Author : Bogdan Grechuk
Publisher : Springer
Page : 446 pages
File Size : 40,7 Mb
Release : 2019-06-15
Category : Mathematics
ISBN : 9783030190965

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Theorems of the 21st Century by Bogdan Grechuk Pdf

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

M. Ram Murty,V. Kumar Murty
The Mathematical Legacy of Srinivasa Ramanujan Book PDF

Author : M. Ram Murty,V. Kumar Murty
Publisher : Springer Science & Business Media
Page : 185 pages
File Size : 42,8 Mb
Release : 2012-10-06
Category : Mathematics
ISBN : 9788132207696

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The Mathematical Legacy of Srinivasa Ramanujan by M. Ram Murty,V. Kumar Murty Pdf

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.

Research in Mathematics Education in Australasia 2016–2019

Jennifer Way,Catherine Attard,Judy Anderson,Janette Bobis,Heather McMaster,Katherin Cartwright
Research in Mathematics Education in Australasia 2016 2019 Book PDF

Author : Jennifer Way,Catherine Attard,Judy Anderson,Janette Bobis,Heather McMaster,Katherin Cartwright
Publisher : Springer Nature
Page : 383 pages
File Size : 48,7 Mb
Release : 2020-04-20
Category : Education
ISBN : 9789811542695

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Research in Mathematics Education in Australasia 2016–2019 by Jennifer Way,Catherine Attard,Judy Anderson,Janette Bobis,Heather McMaster,Katherin Cartwright Pdf

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.

Mathematics and 21st Century Biology

National Research Council,Division on Engineering and Physical Sciences,Board on Mathematical Sciences and Their Applications,Committee on Mathematical Sciences Research for DOE's Computational Biology
Mathematics and 21st Century Biology Book PDF

Author : National Research Council,Division on Engineering and Physical Sciences,Board on Mathematical Sciences and Their Applications,Committee on Mathematical Sciences Research for DOE's Computational Biology
Publisher : National Academies Press
Page : 163 pages
File Size : 54,5 Mb
Release : 2005-07-16
Category : Science
ISBN : 9780309095846

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Mathematics and 21st Century Biology by National Research Council,Division on Engineering and Physical Sciences,Board on Mathematical Sciences and Their Applications,Committee on Mathematical Sciences Research for DOE's Computational Biology Pdf

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.

21st Century Geography

Joseph P. Stoltman
21st Century Geography Book PDF

Author : Joseph P. Stoltman
Publisher : SAGE
Page : 911 pages
File Size : 53,9 Mb
Release : 2012
Category : Science
ISBN : 9781412974646

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21st Century Geography by Joseph P. Stoltman Pdf

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

S G Mohanraj,B Arokia Lawrence Vijay
Transforming Education for the 21st Century Innovative Teaching Approaches Book PDF

Author : S G Mohanraj,B Arokia Lawrence Vijay
Publisher : OrangeBooks Publication
Page : 280 pages
File Size : 53,8 Mb
Release : 2024-06-04
Category : Education
ISBN : 8210379456XXX

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Transforming Education for the 21st Century - Innovative Teaching Approaches by S G Mohanraj,B Arokia Lawrence Vijay Pdf

"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

Gary L. Gaile,Cort J. Willmott
Geography in America at the Dawn of the 21st Century Book PDF

Author : Gary L. Gaile,Cort J. Willmott
Publisher : Unknown
Page : 854 pages
File Size : 55,6 Mb
Release : 2005
Category : Nature
ISBN : 0199295867

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Geography in America at the Dawn of the 21st Century by Gary L. Gaile,Cort J. Willmott Pdf

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.

Mathematics Education in the Digital Age

Alison Clark-Wilson,Ana Donevska-Todorova,Eleonora Faggiano,Jana Trgalová,Hans-Georg Weigand
Mathematics Education in the Digital Age Book PDF

Author : Alison Clark-Wilson,Ana Donevska-Todorova,Eleonora Faggiano,Jana Trgalová,Hans-Georg Weigand
Publisher : Routledge
Page : 246 pages
File Size : 54,5 Mb
Release : 2021-05-24
Category : Education
ISBN : 9781000390797

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Mathematics Education in the Digital Age by Alison Clark-Wilson,Ana Donevska-Todorova,Eleonora Faggiano,Jana Trgalová,Hans-Georg Weigand Pdf

The wide availability of digital educational resources for mathematics teaching and learning is indisputable, with some notable genres of technologies having evolved, such as graphing calculators, dynamic graphing, dynamic geometry and data visualization tools. But what does this mean for teachers of mathematics, and how do their roles evolve within this digital landscape? This essential book offers an international perspective to help bridge theory and practice, including coverage of networking theories, curriculum design, task implementation, online resources and assessment. Mathematics Education in the Digital Age details the impacts this digital age has, and will continue to have, on the parallel aspects of learning and teaching mathematics within formal education systems and settings. Written by a group of international authors, the chapters address the following themes: Mathematics teacher education and professional development Mathematics curriculum development and task design The assessment of mathematics Theoretical perspectives and methodologies/approaches for researching mathematics education in the digital age This book highlights not only the complex nature of the field, but also the advancements in theoretical and practical knowledge that is enabling the mathematics education community to continue to learn in this increasingly digital age. It is an essential read for all mathematics teacher educators and master teachers.

Creating a Forestry for the 21st Century

Kathryn A. Kohm,Jerry F. Franklin
Creating a Forestry for the 21st Century Book PDF

Author : Kathryn A. Kohm,Jerry F. Franklin
Publisher : Island Press
Page : 516 pages
File Size : 53,9 Mb
Release : 1997
Category : Science
ISBN : 1610913922

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Creating a Forestry for the 21st Century by Kathryn A. Kohm,Jerry F. Franklin Pdf

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

National Research Council,National Academy of Engineering,Engineering Education Program Office,Division of Behavioral and Social Sciences and Education,Teacher Advisory Council,Board on Science Education,Division on Earth and Life Studies,Board on Life Sciences,Policy and Global Affairs,Board on Higher Education and Workforce,Planning Committee on Evolving Relationships and Dynamics Between Two- and Four-Year Colleges and Universities
Community Colleges in the Evolving STEM Education Landscape Book PDF

Author : National Research Council,National Academy of Engineering,Engineering Education Program Office,Division of Behavioral and Social Sciences and Education,Teacher Advisory Council,Board on Science Education,Division on Earth and Life Studies,Board on Life Sciences,Policy and Global Affairs,Board on Higher Education and Workforce,Planning Committee on Evolving Relationships and Dynamics Between Two- and Four-Year Colleges and Universities
Publisher : National Academies Press
Page : 156 pages
File Size : 52,8 Mb
Release : 2012-08-24
Category : Education
ISBN : 9780309256544

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Community Colleges in the Evolving STEM Education Landscape by National Research Council,National Academy of Engineering,Engineering Education Program Office,Division of Behavioral and Social Sciences and Education,Teacher Advisory Council,Board on Science Education,Division on Earth and Life Studies,Board on Life Sciences,Policy and Global Affairs,Board on Higher Education and Workforce,Planning Committee on Evolving Relationships and Dynamics Between Two- and Four-Year Colleges and Universities Pdf

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

Amanda Berry,Cathy Buntting,Deborah Corrigan,Richard Gunstone,Alister Jones
Education in the 21st Century Book PDF

Author : Amanda Berry,Cathy Buntting,Deborah Corrigan,Richard Gunstone,Alister Jones
Publisher : Springer Nature
Page : 199 pages
File Size : 45,9 Mb
Release : 2022-01-31
Category : Science
ISBN : 9783030853006

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Education in the 21st Century by Amanda Berry,Cathy Buntting,Deborah Corrigan,Richard Gunstone,Alister Jones Pdf

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.

The Development of Mathematics Throughout the Centuries

Brian Evans
The Development of Mathematics Throughout the Centuries Book PDF

Author : Brian Evans
Publisher : John Wiley & Sons
Page : 197 pages
File Size : 50,6 Mb
Release : 2014-02-24
Category : Mathematics
ISBN : 9781118853979

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The Development of Mathematics Throughout the Centuries by Brian Evans Pdf

Throughout the book, readers take a journey throughout time and observe how people around the world have understood these patterns of quantity, structure, and dimension around them. The Development of Mathematics Throughout the Centuries: A Brief History in a Cultural Contex provides a brief overview of the history of mathematics in a very straightforward and understandable manner and also addresses major findings that influenced the development of mathematics as a coherent discipline. This book: Highlights the contributions made by various world cultures including African, Egyptian, Babylonian, Chinese, Indian, Islamic, and pre-Columbian American mathematics Features an approach that is not too rigorous and is ideal for a one-semester course of the history of mathematics. Includes a Resources and Recommended Reading section for further exploration and has been extensively classroom-tested