Mathematics Rebooted
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Mathematics Rebooted
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Author : Lara Alcock
language : en
Publisher: Oxford University Press
Release Date : 2017
Mathematics Rebooted written by Lara Alcock and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017 with Education categories.
Would you like to understand more mathematics? Many people would. Perhaps at school you liked mathematics for a while but were then put off because you missed a key idea and kept getting stuck. Perhaps you always liked mathematics but gave it up because your main interest was music or languages or science or philosophy. Or perhaps you studied mathematics to advanced levels, but have now forgotten most of what you once knew. Whichever is the case, this book is for you. It aims to build on what you know, revisiting basic ideas with a focus on meaning. Each chapter starts with an idea from school mathematics - often primary school mathematics - and gradually builds up a network of links to more advanced material. It explores fundamental ideas in depth, using insights from research in mathematics education and psychology to explain why people often get confused, and how to overcome that confusion. For nervous readers, it will build confidence by clarifying basic ideas. For more experienced readers, it will highlight new connections to more advanced material. Throughout, the book explains how mathematicians think, and how ordinary people can understand and enjoy mathematical ideas and arguments. If you would like to be better informed about the intrinsic elegance of mathematics, this engaging guide is the place to start.
Mathematics Rebooted
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Author : Lara Alcock
language : en
Publisher: Oxford University Press
Release Date : 2017-10-06
Mathematics Rebooted written by Lara Alcock and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-10-06 with Mathematics categories.
Would you like to understand more mathematics? Many people would. Perhaps at school you liked mathematics for a while but were then put off because you missed a key idea and kept getting stuck. Perhaps you always liked mathematics but gave it up because your main interest was music or languages or science or philosophy. Or perhaps you studied mathematics to advanced levels, but have now forgotten most of what you once knew. Whichever is the case, this book is for you. It aims to build on what you know, revisiting basic ideas with a focus on meaning. Each chapter starts with an idea from school mathematics - often primary school mathematics - and gradually builds up a network of links to more advanced material. It explores fundamental ideas in depth, using insights from research in mathematics education and psychology to explain why people often get confused, and how to overcome that confusion. For nervous readers, it will build confidence by clarifying basic ideas. For more experienced readers, it will highlight new connections to more advanced material. Throughout, the book explains how mathematicians think, and how ordinary people can understand and enjoy mathematical ideas and arguments. If you would like to be better informed about the intrinsic elegance of mathematics, this engaging guide is the place to start.
How To Think About Abstract Algebra
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Author : Lara Alcock
language : en
Publisher: Oxford University Press, USA
Release Date : 2021
How To Think About Abstract Algebra written by Lara Alcock and has been published by Oxford University Press, USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021 with Mathematics categories.
How to Think about Abstract Algebra provides an engaging and readable introduction to its subject, which encompasses group theory and ring theory. Abstract Algebra is central in most undergraduate mathematics degrees, and it captures regularities that appear across diverse mathematical structures - many people find it beautiful for this reason. But its abstraction can make its central ideas hard to grasp, and even the best students might find that they can follow some of the reasoning without really understanding what it is all about. This book aims to solve that problem. It is not like other Abstract Algebra texts and is not a textbook containing standard content. Rather, it is designed to be read before starting an Abstract Algebra course, or as a companion text once a course has begun. It builds up key information on five topics: binary operations, groups, quotient groups, isomorphisms and homomorphisms, and rings. It provides numerous examples, tables and diagrams, and its explanations are informed by research in mathematics education. The book also provides study advice focused on the skills that students need in order to learn successfully in their own Abstract Algebra courses. It explains how to interact productively with axioms, definitions, theorems and proofs, and how research in psychology should inform our beliefs about effective learning.
Myths And Legends Of Mastery In The Mathematics Curriculum
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Author : Pinky Jain
language : en
Publisher: SAGE
Release Date : 2019-11-30
Myths And Legends Of Mastery In The Mathematics Curriculum written by Pinky Jain and has been published by SAGE this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-11-30 with Education categories.
This book supports trainee and beginning teachers to understand what 'mastery' is and how to effectively integrate it into class teaching. It explores how 'mastery' is viewed and supported in other countries and encourages a critical examination of this topical theme. The text includes practical advice and examples of learning activities for primary teaching. It also outlines how to support children who might be weaker in their mathematical abilities and still ensure that all children master mathematics. The text also supports those who are developing whole school mastery approaches and looks at how we can assess 'mastery' as well as how we can be confident that it is supporting good progress. The text considers the range of evidence around the 'maths mastery' approach and supports schools and teachers to develop better understanding of mastery, what it really means and how they can deploy it in the classroom.
The Best Writing On Mathematics 2018
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Author : Mircea Pitici
language : en
Publisher: Princeton University Press
Release Date : 2018-12-04
The Best Writing On Mathematics 2018 written by Mircea Pitici and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-12-04 with Mathematics categories.
The year’s finest mathematical writing from around the world This annual anthology brings together the year’s finest mathematics writing from around the world. Featuring promising new voices alongside some of the foremost names in the field, The Best Writing on Mathematics 2018 makes available to a wide audience many pieces not easily found anywhere else—and you don’t need to be a mathematician to enjoy them. These essays delve into the history, philosophy, teaching, and everyday aspects of math, offering surprising insights into its nature, meaning, and practice—and taking readers behind the scenes of today’s hottest mathematical debates. James Grime shows how to build subtly mischievous dice for playing slightly unfair games and Michael Barany traces how our appreciation of the societal importance of mathematics has developed since World War II. In other essays, Francis Su extolls the inherent values of learning, doing, and sharing mathematics, and Margaret Wertheim takes us on a mathematical exploration of the mind and the world—with glimpses at science, philosophy, music, art, and even crocheting. And there’s much, much more. In addition to presenting the year’s most memorable math writing, this must-have anthology includes an introduction by the editor and a bibliography of other notable pieces on mathematics. This is a must-read for anyone interested in where math has taken us—and where it is headed.
The Infinite Staircase
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Author : Geoffrey A. Moore
language : en
Publisher: BenBella Books
Release Date : 2021-08-10
The Infinite Staircase written by Geoffrey A. Moore and has been published by BenBella Books this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-08-10 with Philosophy categories.
NAUTILUS BOOK AWARD GOLD MEDALIST — BODY, MIND, SPIRIT PRACTICES “Combining an extraordinary range of scholarship with an accessible and entertaining writing style, The Infinite Staircase . . . provides a coherent and unified platform for a full human life.” —Midwest Book Review In this bold new book, high-tech’s best-known strategist makes a seminal contribution to the search for meaning in a secular era. Two questions fundamental to human existence have always been the metaphysical “where do I fit in the grand scheme of things?” and the ethical “how should I behave?” Religion is no longer a source of answers for many people, and nothing has replaced it. Moore uses his signature framework-based approach to answer these questions, taking us on an intellectual roller coaster ride through physics, chemistry, biology, the social sciences and the humanities. Along the way, he builds a metaphorical ladder that leads from the big bang to the need for ethical action in our daily lives. Combining an extraordinary range of scholarship with an accessible and entertaining writing style, The Infinite Staircase: What the Universe Tells Us About Life, Ethics, and Mortality provides a coherent and unified platform for a full human life.
Advances In Mathematics Research
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Author : Gabriel A. Oyibo
language : en
Publisher: Nova Publishers
Release Date : 2002
Advances In Mathematics Research written by Gabriel A. Oyibo and has been published by Nova Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Mathematics categories.
Mathematics has been behind many of humanity's most significant advances in fields as varied as genome sequencing, medical science, space exploration, and computer technology. But those breakthroughs were yesterday. Where will mathematicians lead us tomorrow and can we help shape that destiny? This book assembles carefully selected articles highlighting and explaining cutting-edge research and scholarship in mathematics.
The Mathematics Of Life
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Author : Ian Stewart
language : en
Publisher: Basic Books
Release Date : 2011-06-07
The Mathematics Of Life written by Ian Stewart and has been published by Basic Books this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-06-07 with Science categories.
Biologists have long dismissed mathematics as being unable to meaningfully contribute to our understanding of living beings. Within the past ten years, however, mathematicians have proven that they hold the key to unlocking the mysteries of our world -- and ourselves. In The Mathematics of Life, Ian Stewart provides a fascinating overview of the vital but little-recognized role mathematics has played in pulling back the curtain on the hidden complexities of the natural world -- and how its contribution will be even more vital in the years ahead. In his characteristically clear and entertaining fashion, Stewart explains how mathematicians and biologists have come to work together on some of the most difficult scientific problems that the human race has ever tackled, including the nature and origin of life itself.
Mathematics Of Life
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Author : Ian Stewart
language : en
Publisher: Profile Books
Release Date : 2011-04-07
Mathematics Of Life written by Ian Stewart and has been published by Profile Books this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-04-07 with Mathematics categories.
A new partnership of biologists and mathematicians is picking apart the hidden complexity of animals and plants to throw fresh light on the behaviour of entire organisms, how they interact and how changes in biological diversity affect the planet's ecological balance. Mathematics offers new and sometimes startling perspectives on evolution and how patterns of inheritance and population work out over time-scales ranging from millions to hundreds of years - as well as what's going on to change us right now. Ian Stewart, in characteristically clear and entertaining fashion, explores these and a whole range of pertinent issues, including how far genes control behaviour and the nature of life itself. He shows how far mathematicians and biologists are succeeding in tackling some of the most difficult scientific problems the human race has ever confronted and where their research is currently taking us.
Get Smart Maths
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Author : Julia Collins
language : en
Publisher: Hachette UK
Release Date : 2018-09-06
Get Smart Maths written by Julia Collins and has been published by Hachette UK this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-09-06 with Mathematics categories.
Can you explain Fermat's Last Theorem? What is the shape of the Universe? And how do you add up to infinity? Challenge yourself with Get Smart: Maths and learn to think and talk like the world's greatest mathematical geniuses. Taking you on a journey through the mathematical ideas that underpin our world - from imaginary numbers and Turing machines to chaos theory and mathematical paradoxes; from the search for primes and game theory to relativity and the arithmetic of altruism - Get Smart: Maths demystifies 50 key concepts and provides you with the tools to master the very biggest ideas. Includes: imaginary numbers; the riemann hypothesis; mathematical paradoxes; chaos theory; code breaking; Gödel's incompleteness theorem; topology; the Poincaré conjecture; game theory; the maths of symmetry; calculus; Turing machines; fractals; the prisoner's dilemma; primes; knot theory; probability and statistics; the Monty Hall problem . . . and many more.