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Landscape Of 21st Century Mathematics
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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.
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.
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.
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.
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 1800 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.
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: 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.
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 2005-06-16 with total page 162 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.
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.
Book Synopsis Teaching and Learning Discrete Mathematics Worldwide: Curriculum and Research by : Eric W. Hart
Download or read book Teaching and Learning Discrete Mathematics Worldwide: Curriculum and Research written by Eric W. Hart and published by Springer. This book was released on 2017-12-09 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses examples of discrete mathematics in school curricula, including in the areas of graph theory, recursion and discrete dynamical systems, combinatorics, logic, game theory, and the mathematics of fairness. In addition, it describes current discrete mathematics curriculum initiatives in several countries, and presents ongoing research, especially in the areas of combinatorial reasoning and the affective dimension of learning discrete mathematics. Discrete mathematics is the math of our time.' So declared the immediate past president of the National Council of Teachers of Mathematics, John Dossey, in 1991. Nearly 30 years later that statement is still true, although the news has not yet fully reached school mathematics curricula. Nevertheless, much valuable work has been done, and continues to be done. This volume reports on some of that work. It provides a glimpse of the state of the art in learning and teaching discrete mathematics around the world, and it makes the case once again that discrete mathematics is indeed mathematics for our time, even more so today in our digital age, and it should be included in the core curricula of all countries for all students.
Book Synopsis Self-directed learning research: An imperative for transforming the educational landscape by : Elsa Mentz
Download or read book Self-directed learning research: An imperative for transforming the educational landscape written by Elsa Mentz and published by AOSIS. This book was released on 2016-12-31 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book will benefit specialists in the field of the education sciences. It represents significant progress in knowledge production. Self-directed learning has become increasingly important, not only for education in South Africa but also for education sciences in the international arena. This is a result of the changing education landscape, caused by the demands of the 21st century as well as the rapid change in knowledge production. Learners should be equipped with skills to take responsibility for their own learning. New innovative strategies should be incorporated into teaching and learning in order to meet the changing demands in education. Traditional teacher-centred practices are still the norm in most South African schools and higher-education institutions and do not adequately prepare students for lifelong learning in the 21st century. The content focuses on the theory behind self-directed learning, explores strategies such as cooperative learning, problembased learning, case-based teaching and large-group teaching that enhance self-directed learning and the use of blended learning in a self-directed learning environment. The book demonstrates how self-directed learning can be enhanced in mathematics, computer-science and life-science education and through the use of student tutors for geography. Digital technology could, for example, also be used in innovative ways for education in isiZulu folk poetry. The findings are based on original empirical research and a sound theoretical-conceptual framework. In an environment of rapidly changing knowledge production, this book responds to the challenge of how to equip learners with the necessary skills to take responsibility for their own learning. The book presents innovative teaching and learning strategies for meeting the changing demands in education. Group activities, the responsibilities of learners and the obstacles that hinder their learning are analysed, and the way in which educators can support them is discussed. Educational values such as mutual trust are discussed, and self-directed assessment is explored. This is a timely collective work authored by experts who subscribe to the approach of self-directed learning. Educators should discover new teaching and learning strategies and value the integration of self-directed learning in the classroom.
Book Synopsis Developing 21st Century Competencies In The Mathematics Classroom: Yearbook 2016, Association Of Mathematics Educators by : Pee Choon Toh
Download or read book Developing 21st Century Competencies In The Mathematics Classroom: Yearbook 2016, Association Of Mathematics Educators written by Pee Choon Toh and published by World Scientific. This book was released on 2016-05-20 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this book is to contribute towards literature in the field of mathematics education, specifically the development of 21st century competencies amongst learners of mathematics.The book comprising fourteen chapters, written by renowned researchers in mathematics education, provides readers with approaches and applicable classroom strategies to foster skills and dispositions that will enable learners to thrive in the fast-changing and complex world that we live in today.The chapters in the book can be classified into three broad themes. The first is an examination of what is meant by 21st century competencies and how they can be developed within the context of the mathematics curriculum. The second is an in-depth discussion of evidence-based practices aimed at fostering specific competencies like metacognition and reflective thinking, critical thinking and communication skills. The last and third theme is about teaching approaches that are likely to feature increasingly in the 21st century classroom, for example flipped learning or the use of comics and storytelling.
Book Synopsis Research in Mathematics Education in Australasia 2012-2015 by : Katie Makar
Download or read book Research in Mathematics Education in Australasia 2012-2015 written by Katie Makar and published by Springer. This book was released on 2016-06-02 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: With the ninth edition of the four-yearly review of mathematics education research in Australasia, the Mathematics Education Research Group of Australasia (MERGA) discusses the Australasian research in mathematics education in the four years from 2012-2015. This review aims to critically promote quality research and focus on the building of research capacity in Australasia.
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.
Author :Muhammad Kamarul Kabilan, Raja Mazuin Raja Abdul Aziz, Jo-Ann Netto-Shek Publisher :Penerbit USM ISBN 13 :9674615016 Total Pages :347 pages Book Rating :4.6/5 (746 download)
Book Synopsis Teaching and Learning of English in the 21st Century: Perspectives and Practices from South East Asia by : Muhammad Kamarul Kabilan, Raja Mazuin Raja Abdul Aziz, Jo-Ann Netto-Shek
Download or read book Teaching and Learning of English in the 21st Century: Perspectives and Practices from South East Asia written by Muhammad Kamarul Kabilan, Raja Mazuin Raja Abdul Aziz, Jo-Ann Netto-Shek and published by Penerbit USM. This book was released on 2021-10-08 with total page 347 pages. Available in PDF, EPUB and Kindle. Book excerpt: Teaching and learning in the 21st century have new implications for English language education since the core focus of learning in the 21st century involves collaboration, creativity, critical thinking and communication. Re-orientation of current curriculum, syllabus and content in English language education may be required and this could be attained by creating fundamental understanding of the concepts in relation to the main skills (reading, writing, listening and speaking), as well as other elements such as professional development of teachers, assessment and technology integration. This book aims to provide and facilitate such understanding to researchers, teachers, students and parents in deliberating, examining and resolving the main issues that beleaguer and challenge everyone and anyone involved in the teaching and learning in the 21st century. This volume draws together various researches, theoretical understandings, ideas and practices that reflect the above.
Book Synopsis Humanizing Mathematics and its Philosophy by : Bharath Sriraman
Download or read book Humanizing Mathematics and its Philosophy written by Bharath Sriraman and published by Birkhäuser. This book was released on 2017-11-07 with total page 357 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Festschrift contains numerous colorful and eclectic essays from well-known mathematicians, philosophers, logicians, and linguists celebrating the 90th birthday of Reuben Hersh. The essays offer, in part, attempts to answer the following questions set forth by Reuben himself as a focus for this volume: Can practicing mathematicians, as such, contribute anything to the philosophy of math? Can or should philosophers of math, as such, say anything to practicing mathematicians? Twenty or fifty years from now, what will be similar, and what will, or could, or should be altogether different: About the philosophy of math? About math education? About math research institutions? About data processing and scientific computing? The essays also offer glimpses into Reuben’s fertile mind and his lasting influence on the mathematical community, as well as revealing the diverse roots, obstacles and philosophical dispositions that characterize the working lives of mathematicians. With contributions from a veritable “who’s who” list of 20th century luminaries from mathematics and philosophy, as well as from Reuben himself, this volume will appeal to a wide variety of readers from curious undergraduates to prominent mathematicians.
Book Synopsis Basics of Ramsey Theory by : Veselin Jungić
Download or read book Basics of Ramsey Theory written by Veselin Jungić and published by CRC Press. This book was released on 2023-06-09 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: Basics of Ramsey Theory serves as a gentle introduction to Ramsey theory for students interested in becoming familiar with a dynamic segment of contemporary mathematics that combines ideas from number theory and combinatorics. The core of the of the book consists of discussions and proofs of the results now universally known as Ramsey’s theorem, van der Waerden’s theorem, Schur’s theorem, Rado’s theorem, the Hales–Jewett theorem, and the Happy End Problem of Erdős and Szekeres. The aim is to present these in a manner that will be challenging but enjoyable, and broadly accessible to anyone with a genuine interest in mathematics. Features Suitable for any undergraduate student who has successfully completed the standard calculus sequence of courses and a standard first (or second) year linear algebra course Filled with visual proofs of fundamental theorems Contains numerous exercises (with their solutions) accessible to undergraduate students Serves as both a textbook or as a supplementary text in an elective course in combinatorics and aimed at a diverse group of students interested in mathematics
Book Synopsis Modern Motherhood: Nurturing Kings In The 21st Century by : Aisha Olagbegi
Download or read book Modern Motherhood: Nurturing Kings In The 21st Century written by Aisha Olagbegi and published by Aisha Olagbegi. This book was released on 2023-09-12 with total page 251 pages. Available in PDF, EPUB and Kindle. Book excerpt: In a rapidly evolving world, the essence of motherhood has been beautifully transformed. "Modern Motherhood: Nurturing Kings in the 21st Century" delves into this intricate journey, weaving the rich cultural heritage of Edo State with the challenges and triumphs of today's mothers. This illuminating guide spotlights resilient single mothers, draws wisdom from elder women, and celebrates the successes of professional women from all walks of life. Navigate the delicate balance between traditional values and contemporary expectations, discovering strategies to foster character, excellence, and resilience in the next generation. This book equips readers with empowering tools for success, emphasizes the pivotal role of education, and offers a deep dive into leveraging technology responsibly. From exploring spiritual aspects and family dynamics to championing financial literacy, career growth, and social justice, this comprehensive tome covers all facets of motherhood. Embrace the beauty of the arts, environmental stewardship, and the indomitable spirit of community, and conclude with a reflective look at the legacy of modern mothers. An ode to modern mothers and a testament to the incredible task of nurturing kings in the 21st century. This book is not just a guide, but an invitation to connect, grow, and flourish in the age of modern motherhood.
