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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 : 39,6 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.

Landscape of 21st Century Mathematics

Landscape of 21st Century Mathematics Book
Author : Bogdan Grechuk
Publisher : Unknown
Release : 2021
ISBN : 9783030806286
File Size : 38,8 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 : 36,7 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.

Research in Mathematics Education in Australasia 2016 2019

Research in Mathematics Education in Australasia 2016   2019 Book
Author : Jennifer Way,Catherine Attard,Judy Anderson,Janette Bobis,Heather McMaster,Katherin Cartwright
Publisher : Springer Nature
Release : 2020-04-20
ISBN : 9811542694
File Size : 43,7 Mb
Language : En, Es, Fr and De

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Book Summary :

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

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 : 47,9 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.

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 : 34,9 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.

Currents in Industrial Mathematics

Currents in Industrial Mathematics Book
Author : Helmut Neunzert,Dieter Prätzel-Wolters
Publisher : Springer
Release : 2015-11-01
ISBN : 3662482584
File Size : 54,7 Mb
Language : En, Es, Fr and De

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Book Summary :

This book offers an insider's view of how industrial problems are translated into mathematics and how solving the mathematics leads to convincing industrial solutions as well. In 6 technical chapters, a wide range of industrial problems is modeled, simulated, and optimized; 4 others describe the modeling, computing, optimization, and data analysis concepts shaping the work of the Fraunhofer ITWM. Each technical chapter illustrates how the relevant mathematics has been adapted or extended for the specific application and details the underlying practical problem and resulting software. The final chapter shows how the use of mathematical modeling in the classroom can change the image of this subject, making it exciting and fun.

Transforming Digital Learning and Assessment

Transforming Digital Learning and Assessment Book
Author : Peggy L. Maki,Peter Shea
Publisher : Stylus Publishing, LLC
Release : 2021-03-16
ISBN : 1620369893
File Size : 32,5 Mb
Language : En, Es, Fr and De

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Book Summary :

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.