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Landscape of 21st Century Mathematics

Author: Bogdan Grechuk

Publisher: Springer Nature

Published: 2021-09-21

Total Pages: 437

ISBN-13: 3030806278

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:

Published: 2021

Total Pages: 0

ISBN-13: 9783030806286

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

Author: Bharath Sriraman

Publisher: IAP

Published: 2015-08-01

Total Pages: 1798

ISBN-13: 1681232790

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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.

Mathematics and the 21st Century

Author: A. A. Ashour

Publisher: World Scientific

Published: 2001

Total Pages: 412

ISBN-13: 9812810242

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The Conference on "Mathematics and the 21st Century" was held in Cairo, Egypt during the period 15-20 January 2000. The conference's sessions consisted of plenary lectures and topical sessions. Some of the plenary lectures covered general fields such as: rewriting the history of mathematics; education of mathematics; relation between mathematics and sciences; and mathematical aspects of transportation.

The Mathematical Legacy of Srinivasa Ramanujan

Author: M. Ram Murty

Publisher: Springer Science & Business Media

Published: 2012-10-06

Total Pages: 185

ISBN-13: 8132207696

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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.

Theorems of the 21st Century

Author: Bogdan Grechuk

Publisher: Springer

Published: 2019-06-15

Total Pages: 446

ISBN-13: 303019096X

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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.

Mathematics Education in the Digital Age

Author: Alison Clark-Wilson

Publisher: Routledge

Published: 2021-05-24

Total Pages: 246

ISBN-13: 1000390799

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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.

Geography in America at the Dawn of the 21st Century

Author: Gary L. Gaile

Publisher:

Published: 2005

Total Pages: 854

ISBN-13: 9780199295869

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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.

21st Century Geography

Author: Joseph P. Stoltman

Publisher: SAGE

Published: 2012

Total Pages: 911

ISBN-13: 141297464X

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

Research in Mathematics Education in Australasia 2016–2019

Author: Jennifer Way

Publisher: Springer Nature

Published: 2020-04-20

Total Pages: 383

ISBN-13: 9811542694

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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.