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Landscape Of 21st Century Mathematics

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Landscape of 21st Century Mathematics

Landscape of 21st Century Mathematics Book
Author : Bogdan Grechuk
Publisher : Springer Nature
Release : 2021-09-21
ISBN : 3030806278
File Size : 24,8 Mb
Language : En, Es, Fr and De

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Book Summary :

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

The First Sourcebook on Asian Research in Mathematics Education   2 Volumes Book
Author : Bharath Sriraman,Jinfa Cai,Kyeonghwa Lee,Lianghuo Fan,Yoshinori Shimizu,Chap Sam Lim,K. Subramaniam
Publisher : IAP
Release : 2015-08-01
ISBN : 1681232790
File Size : 50,7 Mb
Language : En, Es, Fr and De

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Book Summary :

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.

Landscape of 21st Century Mathematics

Landscape of 21st Century Mathematics Book
Author : Bogdan Grechuk
Publisher : Springer
Release : 2022-10-06
ISBN : 9783030806293
File Size : 40,5 Mb
Language : En, Es, Fr and De

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Book Summary :

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.

Mathematics and 21st Century Biology

Mathematics and 21st Century Biology Book
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
Release : 2005-07-16
ISBN : 0309095840
File Size : 34,8 Mb
Language : En, Es, Fr and De

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Book Summary :

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

21st Century Geography Book
Author : Joseph P. Stoltman
Publisher : SAGE
Release : 2011-10-20
ISBN : 141297464X
File Size : 37,6 Mb
Language : En, Es, Fr and De

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Book Summary :

This is a theoretical and practical guide on how to undertake and navigate advanced research in the arts, humanities and social sciences.

Community Colleges in the Evolving STEM Education Landscape

Community Colleges in the Evolving STEM Education Landscape Book
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
Release : 2012-08-24
ISBN : 0309256542
File Size : 38,8 Mb
Language : En, Es, Fr and De

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Book Summary :

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.

Creating a Forestry for the 21st Century

Creating a Forestry for the 21st Century Book
Author : Kathryn A. Kohm,Jerry F. Franklin
Publisher : Island Press
Release : 1997
ISBN : 9781610913928
File Size : 24,8 Mb
Language : En, Es, Fr and De

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Book Summary :

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.

Geography in America at the Dawn of the 21st Century

Geography in America at the Dawn of the 21st Century Book
Author : Gary L. Gaile,Cort J. Willmott
Publisher : Oxford University Press on Demand
Release : 2004
ISBN : 9780199295869
File Size : 26,6 Mb
Language : En, Es, Fr and De

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Book Summary :

Surveys American geographers' current research in their speciality areas and tracks trends and innovations in the subfields of geography. Based on a process of review and revision, it is both a 'state of the discipline' assessment and a topical reference. The authors were chosen by their specialty groups of the American Association of Geographers.