The Popularization of Mathematics

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Publisher : Cambridge University Press
ISBN 13 : 9780521403191
Total Pages : 228 pages
Book Rating : 4.4/5 (31 download)

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Book Synopsis The Popularization of Mathematics by : A. G. Howson

Download or read book The Popularization of Mathematics written by A. G. Howson and published by Cambridge University Press. This book was released on 1990-11-22 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: The papers arising from the ICMI study seminar on the popularization of mathematics held at the University of Leeds, UK, 17-22 September 1989.

The Popularization of Mathematics

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Author :
Publisher : Cambridge University Press
ISBN 13 : 9780521408677
Total Pages : 222 pages
Book Rating : 4.4/5 (86 download)

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Book Synopsis The Popularization of Mathematics by : A. G. Howson

Download or read book The Popularization of Mathematics written by A. G. Howson and published by Cambridge University Press. This book was released on 1990-11-22 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the papers arising from the ICMI study seminar on the popularization of mathematics held at the University of Leeds, UK, 17-22 September 1989. The event was organized in conjunction with a highly successful touring exhibition known as the 'Pop Maths Roadshow'. Inspired by the discussion document prepared by Howson, Kahane and Pollak, the symposium consisted of three plenary sessions discussing the problems faced in the popularization through particular media. Members were present from a variety of backgrounds and discussion groups were devoted to specific themes, such as the image of mathematicians, TV and films, and mathematics in different cultures.

Oxford Handbook of Numerical Cognition

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Publisher : Oxford University Press
ISBN 13 : 0191036013
Total Pages : 1515 pages
Book Rating : 4.1/5 (91 download)

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Book Synopsis Oxford Handbook of Numerical Cognition by : Roi Cohen Kadosh

Download or read book Oxford Handbook of Numerical Cognition written by Roi Cohen Kadosh and published by Oxford University Press. This book was released on 2015-07-30 with total page 1515 pages. Available in PDF, EPUB and Kindle. Book excerpt: How do we understand numbers? Do animals and babies have numerical abilities? Why do some people fail to grasp numbers, and how we can improve numerical understanding? Numbers are vital to so many areas of life: in science, economics, sports, education, and many aspects of everyday life from infancy onwards. Numerical cognition is a vibrant area that brings together scientists from different and diverse research areas (e.g., neuropsychology, cognitive psychology, developmental psychology, comparative psychology, anthropology, education, and neuroscience) using different methodological approaches (e.g., behavioral studies of healthy children and adults and of patients; electrophysiology and brain imaging studies in humans; single-cell neurophysiology in non-human primates, habituation studies in human infants and animals, and computer modeling). While the study of numerical cognition had been relatively neglected for a long time, during the last decade there has been an explosion of studies and new findings. This has resulted in an enormous advance in our understanding of the neural and cognitive mechanisms of numerical cognition. In addition, there has recently been increasing interest and concern about pupils' mathematical achievement in many countries, resulting in attempts to use research to guide mathematics instruction in schools, and to develop interventions for children with mathematical difficulties. This handbook brings together the different research areas that make up the field of numerical cognition in one comprehensive and authoritative volume. The chapters provide a broad and extensive review that is written in an accessible form for scholars and students, as well as educationalists, clinicians, and policy makers. The book covers the most important aspects of research on numerical cognition from the areas of development psychology, cognitive psychology, neuropsychology and rehabilitation, learning disabilities, human and animal cognition and neuroscience, computational modeling, education and individual differences, and philosophy. Containing more than 60 chapters by leading specialists in their fields, the Oxford Handbook of Numerical Cognition is a state-of-the-art review of the current literature.

International Handbook of Mathematics Education

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Publisher : Springer Science & Business Media
ISBN 13 : 9400914652
Total Pages : 1336 pages
Book Rating : 4.4/5 (9 download)

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Book Synopsis International Handbook of Mathematics Education by : Alan Bishop

Download or read book International Handbook of Mathematics Education written by Alan Bishop and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 1336 pages. Available in PDF, EPUB and Kindle. Book excerpt: ALAN J. BISHOP Monash University, Clayton, Victoria, Australia RATIONALE Mathematics Education is becoming a well-documented field with many books, journals and international conferences focusing on a variety of aspects relating to theory, research and practice. That documentation also reflects the fact that the field has expanded enormously in the last twenty years. At the 8th International Congress on Mathematics Education (ICME) in Seville, Spain, for example, there were 26 specialist Working Groups and 26 special ist Topic Groups, as well as a host of other group activities. In 1950 the 'Commission Internationale pour I 'Etude et l' Amelioration de l'Enseignement des Mathematiques' (CIEAEM) was formed and twenty years ago another active group, the 'International Group for the Psychology of Mathematics Education' (PME), began at the third ICME at Karlsruhe in 1976. Since then several other specialist groups have been formed, and are also active through regular conferences and publications, as documented in Edward Jacobsen's Chapter 34 in this volume.

Mathland

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Publisher : Springer Science & Business Media
ISBN 13 : 9783764301491
Total Pages : 100 pages
Book Rating : 4.3/5 (14 download)

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Book Synopsis Mathland by : Michele Emmer

Download or read book Mathland written by Michele Emmer and published by Springer Science & Business Media. This book was released on 2004 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt: The latest book in our successful series IT Revolution in Architecture provides a concise summary of how our perception of the space around us has radically changed in recent years. We could even go as far as to say that we ourselves shape the space around us according to how our perceptions of the universe alter and develop, and mathematics plays a pivotal role. In this book, the "virtual" protagonist of the journey through the concept of space is the square. Michele Emmer, born in 1945, is Professor of Mathematics at the University La Sapienza in Rome and has authored many books and films on the subject of mathematics and art and culture. He was also responsible for exhibitions at the Venetian Biennale and the Cité des Sciences La Villette in Paris.

Mathematics and the Unexpected

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Publisher : University of Chicago Press
ISBN 13 : 0226199908
Total Pages : 160 pages
Book Rating : 4.2/5 (261 download)

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Book Synopsis Mathematics and the Unexpected by : Ivar Ekeland

Download or read book Mathematics and the Unexpected written by Ivar Ekeland and published by University of Chicago Press. This book was released on 1990-01-15 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Not the least unexpected thing about Mathematics and the Unexpected is that a real mathematician should write not just a literate work, but a literary one."—Ian Stewart, New Scientist "In this brief, elegant treatise, assessable to anyone who likes to think, Ivar Ekelund explains some philosophical implications of recent mathematics. He examines randomness, the geometry involved in making predictions, and why general trends are easy to project (it will snow in January) but particulars are practically impossible (it will snow from 2 p.m. to 5 p.m. on the 21st)."—Village Voice

Mathematics and Culture I

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Publisher : Springer Science & Business Media
ISBN 13 : 9783540017707
Total Pages : 372 pages
Book Rating : 4.0/5 (177 download)

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Book Synopsis Mathematics and Culture I by : Michele Emmer

Download or read book Mathematics and Culture I written by Michele Emmer and published by Springer Science & Business Media. This book was released on 2003-12-02 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: A fascinating and insightful collection of papers on the strong links between mathematics and culture. The contributions range from cinema and theatre directors to musicians, architects, historians, physicians, graphic designers and writers. The text highlights the cultural and formative character of mathematics, its educational value, and imaginative dimension. These articles are highly interesting, sometimes amusing, and make excellent starting points for researching the strong connection between scientific and literary culture.

Rods, Sets and Arrows

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Publisher : Springer Nature
ISBN 13 : 3030205991
Total Pages : 302 pages
Book Rating : 4.0/5 (32 download)

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Book Synopsis Rods, Sets and Arrows by : Dirk De Bock

Download or read book Rods, Sets and Arrows written by Dirk De Bock and published by Springer Nature. This book was released on 2019-12-10 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt: For anyone interested in the history and effects of the introduction of so-called “Modern Mathematics” (or “Mathématique Moderne,” or “New Mathematics,” etc.) this book, by Dirk De Bock and Geert Vanpaemel, is essential reading. The two authors are experienced and highly qualified Belgian scholars and the book looks carefully at events relating to school mathematics for the period from the end of World War II to 2010. Initially the book focuses on events which helped to define the modern mathematics revolution in Belgium before and during the 1960s. The book does much more than that, however, for it traces the influence of these events on national and international debates during the early phases of the reform. By providing readers with translations into English of relevant sections of key Continental documents outlining the major ideas of leading Continental scholars who contributed to the “Mathématique Moderne” movement, this book makes available to a wide readership, the theoretical, social, and political backdrops of Continental new mathematics reforms. In particular, the book focuses on the contributions made by Belgians such as Paul Libois, Willy Servais, Frédérique Lenger, and Georges Papy. The influence of modern mathematics fell away rapidly in the 1970s, however, and the authors trace the rise and fall, from that time into the 21st century, of a number of other approaches to school mathematics—in Belgium, in other Western European nations, and in North America. In summary, this is an outstanding, landmark publication displaying the fruits of deep scholarship and careful research based on extensive analyses of primary sources.

Cycles of Time

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Publisher : Vintage
ISBN 13 : 0307596745
Total Pages : 307 pages
Book Rating : 4.3/5 (75 download)

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Book Synopsis Cycles of Time by : Roger Penrose

Download or read book Cycles of Time written by Roger Penrose and published by Vintage. This book was released on 2011-09-06 with total page 307 pages. Available in PDF, EPUB and Kindle. Book excerpt: From Nobel prize-winner Roger Penrose, this groundbreaking book is for anyone "who is interested in the world, how it works, and how it got here" (New York Journal of Books). Penrose presents a new perspective on three of cosmology’s essential questions: What came before the Big Bang? What is the source of order in our universe? And what cosmic future awaits us? He shows how the expected fate of our ever-accelerating and expanding universe—heat death or ultimate entropy—can actually be reinterpreted as the conditions that will begin a new “Big Bang.” He details the basic principles beneath our universe, explaining various standard and non-standard cosmological models, the fundamental role of the cosmic microwave background, the paramount significance of black holes, and other basic building blocks of contemporary physics. Intellectually thrilling and widely accessible, Cycles of Time is a welcome new contribution to our understanding of the universe from one of our greatest mathematicians and thinkers.

Negative Math

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Publisher : Princeton University Press
ISBN 13 : 9780691123097
Total Pages : 288 pages
Book Rating : 4.1/5 (23 download)

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Book Synopsis Negative Math by : Alberto A. Martínez

Download or read book Negative Math written by Alberto A. Martínez and published by Princeton University Press. This book was released on 2006 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: Explores controversies in the history of numbers, especially the so-called negative and ''impossible'' numbers. This book uses history, puzzles, and lively debates to demonstrate how it is possible to devise new artificial systems of mathematical rules. It contends that departures from traditional rules can even be the basis for new applications.

Imagine Math 6

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Publisher : Springer
ISBN 13 : 3319939491
Total Pages : 317 pages
Book Rating : 4.3/5 (199 download)

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Book Synopsis Imagine Math 6 by : Michele Emmer

Download or read book Imagine Math 6 written by Michele Emmer and published by Springer. This book was released on 2018-11-06 with total page 317 pages. Available in PDF, EPUB and Kindle. Book excerpt: Imagine mathematics, imagine with the help of mathematics, imagine new worlds, new geometries, new forms. Imagine building mathematical models that make it possible to manage our world better, imagine combining music, art, poetry, literature, architecture and cinema with mathematics. Imagine the unpredictable and sometimes counterintuitive applications of mathematics in all areas of human endeavour. Imagination and mathematics, imagination and culture, culture and mathematics. This sixth volume in the series begins with a homage to the architect Zaha Hadid, who died on March 31st, 2016, a few weeks before the opening of a large exhibition of her works in Palazzo Franchetti in Venice, where all the Mathematics and Culture conferences have taken place in the last years. A large section of the book is dedicated to literature, narrative and mathematics including a contribution from Simon Singh. It discusses the role of media in mathematics, including museums of science, journals and movies. Mathematics and applications, including blood circulation and preventing crimes using earthquakes, is also addressed, while a section on mathematics and art examines the role of math in design. A large selection presents photos of mathematicians and mathematical objects by Vincent Moncorge. Discussing all topics in a way that is rigorous but captivating, detailed but full of evocations, it offers an all-embracing look at the world of mathematics and culture.

Imagine Math 7

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Publisher : Springer Nature
ISBN 13 : 303042653X
Total Pages : 471 pages
Book Rating : 4.0/5 (34 download)

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Book Synopsis Imagine Math 7 by : Michele Emmer

Download or read book Imagine Math 7 written by Michele Emmer and published by Springer Nature. This book was released on 2020-10-07 with total page 471 pages. Available in PDF, EPUB and Kindle. Book excerpt: Imagine mathematics, imagine with the help of mathematics, imagine new worlds, new geometries, new forms. Imagine building mathematical models that make it possible to manage our world better, imagine solving great problems, imagine new problems never before thought of, imagine combining music, art, poetry, literature, architecture, theatre and cinema with mathematics. Imagine the unpredictable and sometimes counterintuitive applications of mathematics in all areas of human endeavour. This seventh volume starts with a homage to the Italian artist Mimmo Paladino who created exclusively for the Venice Conference 2019 ten original and unique works of art paper dedicated to the themes of the meeting. A large section is dedicated to the most recent Fields Medals including a Homage to Maryam Mirzakhani including a presentation of the exhibition on soap bubbles in art and science that took place in 2019. A section is dedicated to cinema and theatre including the performances by Claire Bardainne & Adrien Mondot. A part of the conference focused on the community of mathematicians, their role in literature and even in politics with the extraordinary example of Antanas Mockus Major of Bogotá. Mathematics in the constructions of bridges, in particular in Italy in the Sixties was presented by Tullia Iori. A very particular contribution on Origami by a mathematician, Marco Abate and an artist, Alessandro Beber. And many other topics. As usual the topics are treated in a way that is rigorous but captivating, detailed and full of evocations. This is an all-embracing look at the world of mathematics and culture. The world, life, culture, everything has changed in a few weeks with the Coronavirus. Culture, science are the main ways to safeguard people's physical and social life. Trust in humanity's creativity and ability. The motto today in Italy is Everything will be fine. This work is addressed to all those who have an interest in Mathematics.

Raising Public Awareness of Mathematics

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Publisher : Springer Science & Business Media
ISBN 13 : 3642257100
Total Pages : 406 pages
Book Rating : 4.6/5 (422 download)

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Book Synopsis Raising Public Awareness of Mathematics by : Ehrhard Behrends

Download or read book Raising Public Awareness of Mathematics written by Ehrhard Behrends and published by Springer Science & Business Media. This book was released on 2012-07-04 with total page 406 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collective book aims to encourage and inspire actions directed towards raising public awareness of the importance of mathematical sciences for our contemporary society in a cultural and historical perspective. Mathematical societies, in Europe and around the world, can find ideas, blueprints and suggestions for activities – including concerted actions with other international organizations – directed towards raising public awareness of science, technology and other fields where mathematics plays a strong role. The material is divided into four parts: • National experiences • Exhibitions / mathematical museums • Popularization activities • Popularization: why and how?

Plato's Ghost

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Publisher : Princeton University Press
ISBN 13 : 1400829046
Total Pages : 528 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Plato's Ghost by : Jeremy Gray

Download or read book Plato's Ghost written by Jeremy Gray and published by Princeton University Press. This book was released on 2008-09-02 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt: Plato's Ghost is the first book to examine the development of mathematics from 1880 to 1920 as a modernist transformation similar to those in art, literature, and music. Jeremy Gray traces the growth of mathematical modernism from its roots in problem solving and theory to its interactions with physics, philosophy, theology, psychology, and ideas about real and artificial languages. He shows how mathematics was popularized, and explains how mathematical modernism not only gave expression to the work of mathematicians and the professional image they sought to create for themselves, but how modernism also introduced deeper and ultimately unanswerable questions. Plato's Ghost evokes Yeats's lament that any claim to worldly perfection inevitably is proven wrong by the philosopher's ghost; Gray demonstrates how modernist mathematicians believed they had advanced further than anyone before them, only to make more profound mistakes. He tells for the first time the story of these ambitious and brilliant mathematicians, including Richard Dedekind, Henri Lebesgue, Henri Poincaré, and many others. He describes the lively debates surrounding novel objects, definitions, and proofs in mathematics arising from the use of naïve set theory and the revived axiomatic method—debates that spilled over into contemporary arguments in philosophy and the sciences and drove an upsurge of popular writing on mathematics. And he looks at mathematics after World War I, including the foundational crisis and mathematical Platonism. Plato's Ghost is essential reading for mathematicians and historians, and will appeal to anyone interested in the development of modern mathematics.

Mathematics

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Publisher : Columbia University Press
ISBN 13 : 9780231116398
Total Pages : 340 pages
Book Rating : 4.1/5 (163 download)

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Book Synopsis Mathematics by : Keith J. Devlin

Download or read book Mathematics written by Keith J. Devlin and published by Columbia University Press. This book was released on 1999 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: A modern classic by an accomplished mathematician and best-selling author has been updated to encompass and explain the recent headline-making advances in the field in non-technical terms.

How to Think Like a Mathematician

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Publisher : Cambridge University Press
ISBN 13 : 1139477056
Total Pages : 341 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis How to Think Like a Mathematician by : Kevin Houston

Download or read book How to Think Like a Mathematician written by Kevin Houston and published by Cambridge University Press. This book was released on 2009-02-12 with total page 341 pages. Available in PDF, EPUB and Kindle. Book excerpt: Looking for a head start in your undergraduate degree in mathematics? Maybe you've already started your degree and feel bewildered by the subject you previously loved? Don't panic! This friendly companion will ease your transition to real mathematical thinking. Working through the book you will develop an arsenal of techniques to help you unlock the meaning of definitions, theorems and proofs, solve problems, and write mathematics effectively. All the major methods of proof - direct method, cases, induction, contradiction and contrapositive - are featured. Concrete examples are used throughout, and you'll get plenty of practice on topics common to many courses such as divisors, Euclidean algorithms, modular arithmetic, equivalence relations, and injectivity and surjectivity of functions. The material has been tested by real students over many years so all the essentials are covered. With over 300 exercises to help you test your progress, you'll soon learn how to think like a mathematician.

Combinatorics: Ancient & Modern

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Publisher : OUP Oxford
ISBN 13 : 0191630624
Total Pages : 392 pages
Book Rating : 4.1/5 (916 download)

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Book Synopsis Combinatorics: Ancient & Modern by : Robin Wilson

Download or read book Combinatorics: Ancient & Modern written by Robin Wilson and published by OUP Oxford. This book was released on 2013-06-27 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: Who first presented Pascal's triangle? (It was not Pascal.) Who first presented Hamiltonian graphs? (It was not Hamilton.) Who first presented Steiner triple systems? (It was not Steiner.) The history of mathematics is a well-studied and vibrant area of research, with books and scholarly articles published on various aspects of the subject. Yet, the history of combinatorics seems to have been largely overlooked. This book goes some way to redress this and serves two main purposes: 1) it constitutes the first book-length survey of the history of combinatorics; and 2) it assembles, for the first time in a single source, researches on the history of combinatorics that would otherwise be inaccessible to the general reader. Individual chapters have been contributed by sixteen experts. The book opens with an introduction by Donald E. Knuth to two thousand years of combinatorics. This is followed by seven chapters on early combinatorics, leading from Indian and Chinese writings on permutations to late-Renaissance publications on the arithmetical triangle. The next seven chapters trace the subsequent story, from Euler's contributions to such wide-ranging topics as partitions, polyhedra, and latin squares to the 20th century advances in combinatorial set theory, enumeration, and graph theory. The book concludes with some combinatorial reflections by the distinguished combinatorialist, Peter J. Cameron. This book is not expected to be read from cover to cover, although it can be. Rather, it aims to serve as a valuable resource to a variety of audiences. Combinatorialists with little or no knowledge about the development of their subject will find the historical treatment stimulating. A historian of mathematics will view its assorted surveys as an encouragement for further research in combinatorics. The more general reader will discover an introduction to a fascinating and too little known subject that continues to stimulate and inspire the work of scholars today.