Mathematics Going Forward
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Mathematics Going Forward
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Author : Jean-Michel Morel
language : en
Publisher: Springer Nature
Release Date : 2023-06-14
Mathematics Going Forward written by Jean-Michel Morel and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-06-14 with Mathematics categories.
This volume is an original collection of articles by 44 leading mathematicians on the theme of the future of the discipline. The contributions range from musings on the future of specific fields, to analyses of the history of the discipline, to discussions of open problems and conjectures, including first solutions of unresolved problems. Interestingly, the topics do not cover all of mathematics, but only those deemed most worthy to reflect on for future generations. These topics encompass the most active parts of pure and applied mathematics, including algebraic geometry, probability, logic, optimization, finance, topology, partial differential equations, category theory, number theory, differential geometry, dynamical systems, artificial intelligence, theory of groups, mathematical physics and statistics.
How Not To Be Wrong
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Author : Jordan Ellenberg
language : en
Publisher: National Geographic Books
Release Date : 2015-05-26
How Not To Be Wrong written by Jordan Ellenberg and has been published by National Geographic Books this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-05-26 with Mathematics categories.
“Witty, compelling, and just plain fun to read . . ." —Evelyn Lamb, Scientific American The Freakonomics of math—a math-world superstar unveils the hidden beauty and logic of the world and puts its power in our hands The math we learn in school can seem like a dull set of rules, laid down by the ancients and not to be questioned. In How Not to Be Wrong, Jordan Ellenberg shows us how terribly limiting this view is: Math isn’t confined to abstract incidents that never occur in real life, but rather touches everything we do—the whole world is shot through with it. Math allows us to see the hidden structures underneath the messy and chaotic surface of our world. It’s a science of not being wrong, hammered out by centuries of hard work and argument. Armed with the tools of mathematics, we can see through to the true meaning of information we take for granted: How early should you get to the airport? What does “public opinion” really represent? Why do tall parents have shorter children? Who really won Florida in 2000? And how likely are you, really, to develop cancer? How Not to Be Wrong presents the surprising revelations behind all of these questions and many more, using the mathematician’s method of analyzing life and exposing the hard-won insights of the academic community to the layman—minus the jargon. Ellenberg chases mathematical threads through a vast range of time and space, from the everyday to the cosmic, encountering, among other things, baseball, Reaganomics, daring lottery schemes, Voltaire, the replicability crisis in psychology, Italian Renaissance painting, artificial languages, the development of non-Euclidean geometry, the coming obesity apocalypse, Antonin Scalia’s views on crime and punishment, the psychology of slime molds, what Facebook can and can’t figure out about you, and the existence of God. Ellenberg pulls from history as well as from the latest theoretical developments to provide those not trained in math with the knowledge they need. Math, as Ellenberg says, is “an atomic-powered prosthesis that you attach to your common sense, vastly multiplying its reach and strength.” With the tools of mathematics in hand, you can understand the world in a deeper, more meaningful way. How Not to Be Wrong will show you how.
A Decade Of The Berkeley Math Circle
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Author : Zvezdelina Stankova
language : en
Publisher: American Mathematical Soc.
Release Date : 2008-11-26
A Decade Of The Berkeley Math Circle written by Zvezdelina Stankova and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-11-26 with Mathematics categories.
Many mathematicians have been drawn to mathematics through their experience with math circles: extracurricular programs exposing teenage students to advanced mathematical topics and a myriad of problem solving techniques and inspiring in them a lifelong love for mathematics. Founded in 1998, the Berkeley Math Circle (BMC) is a pioneering model of a U.S. math circle, aspiring to prepare our best young minds for their future roles as mathematics leaders. Over the last decade, 50 instructors--from university professors to high school teachers to business tycoons--have shared their passion for mathematics by delivering more than 320 BMC sessions full of mathematical challenges and wonders. Based on a dozen of these sessions, this book encompasses a wide variety of enticing mathematical topics: from inversion in the plane to circle geometry; from combinatorics to Rubik's cube and abstract algebra; from number theory to mass point theory; from complex numbers to game theory via invariants and monovariants. The treatments of these subjects encompass every significant method of proof and emphasize ways of thinking and reasoning via 100 problem solving techniques. Also featured are 300 problems, ranging from beginner to intermediate level, with occasional peaks of advanced problems and even some open questions. The book presents possible paths to studying mathematics and inevitably falling in love with it, via teaching two important skills: thinking creatively while still ``obeying the rules,'' and making connections between problems, ideas, and theories. The book encourages you to apply the newly acquired knowledge to problems and guides you along the way, but rarely gives you ready answers. ``Learning from our own mistakes'' often occurs through discussions of non-proofs and common problem solving pitfalls. The reader has to commit to mastering the new theories and techniques by ``getting your hands dirty'' with the problems, going back and reviewing necessary problem solving techniques and theory, and persistently moving forward in the book. The mathematical world is huge: you'll never know everything, but you'll learn where to find things, how to connect and use them. The rewards will be substantial. In the interest of fostering a greater awareness and appreciation of mathematics and its connections to other disciplines and everyday life, MSRI and the AMS are publishing books in the Mathematical Circles Library series as a service to young people, their parents and teachers, and the mathematics profession.
Mathematics As A Laboratory Tool
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Author : John Milton
language : en
Publisher: Springer
Release Date : 2014-09-18
Mathematics As A Laboratory Tool written by John Milton and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-09-18 with Mathematics categories.
This introductory textbook is based on the premise that the foundation of good science is good data. The educational challenge addressed by this introductory textbook is how to present a sampling of the wide range of mathematical tools available for laboratory research to well-motivated students with a mathematical background limited to an introductory course in calculus.
Mathematics A Very Short Introduction
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Author : Timothy Gowers
language : en
Publisher: OUP Oxford
Release Date : 2002-08-22
Mathematics A Very Short Introduction written by Timothy Gowers and has been published by OUP Oxford this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-08-22 with Mathematics categories.
The aim of this book is to explain, carefully but not technically, the differences between advanced, research-level mathematics, and the sort of mathematics we learn at school. The most fundamental differences are philosophical, and readers of this book will emerge with a clearer understanding of paradoxical-sounding concepts such as infinity, curved space, and imaginary numbers. The first few chapters are about general aspects of mathematical thought. These are followed by discussions of more specific topics, and the book closes with a chapter answering common sociological questions about the mathematical community (such as "Is it true that mathematicians burn out at the age of 25?") ABOUT THE SERIES: The Very Short Introductions series from Oxford University Press contains hundreds of titles in almost every subject area. These pocket-sized books are the perfect way to get ahead in a new subject quickly. Our expert authors combine facts, analysis, perspective, new ideas, and enthusiasm to make interesting and challenging topics highly readable.
Recent Developments On Introducing A Historical Dimension In Mathematics Education
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Author : Victor J. Katz
language : en
Publisher: MAA
Release Date : 2011
Recent Developments On Introducing A Historical Dimension In Mathematics Education written by Victor J. Katz and has been published by MAA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with History in mathematics education categories.
Recent Developments on Introducing a Historical Dimension in Mathematics Education consists of 24 papers (coming from 13 countries worldwide). The volume aims to constitute an all-embracing outcome of recent activities within the HPM Group (International Study Group on the Relations Between History and Pedagogy of Mathematics). We believe these articles will move the field forward and provide faculty with many new ideas for incorporating the history of mathematics into their teaching at various levels of education. The book is organized into four parts. The first deals with theoretical ideas for integrating the history of mathematics into mathematics education. The second part contains research studies on the use of the history of mathematics in the teaching of numerous mathematics topics at several levels of education. The third part concentrates on how history can be used with prospective and current teachers of mathematics. We also include a special fourth part containing three purely historical papers based on invited talks at the HPM meeting of 2008. Two of these articles provide an overview of the development of mathematics in the Americas, while the third is a study of the astronomical origins of trigonometry.
Mathematical Action Structures Of Noticing
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Author :
language : en
Publisher: BRILL
Release Date : 2009-01-01
Mathematical Action Structures Of Noticing written by and has been published by BRILL this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-01-01 with Education categories.
John Mason has been a prominent figure in the research field of mathematics education for several decades. His principal focus has been thinking about mathematical problems, supporting those who wish to foster and sustain their own thinking and the thinking of others.
The Mathematical Coloring Book
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Author : Alexander Soifer
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-10-13
The Mathematical Coloring Book written by Alexander Soifer and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-10-13 with Mathematics categories.
This book provides an exciting history of the discovery of Ramsey Theory, and contains new research along with rare photographs of the mathematicians who developed this theory, including Paul Erdös, B.L. van der Waerden, and Henry Baudet.
Inside The Mathematics Class
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Author : Uwe Gellert
language : en
Publisher: Springer
Release Date : 2018-09-26
Inside The Mathematics Class written by Uwe Gellert and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-09-26 with Education categories.
This volume is a forward–looking intersection of Sociological perspectives on mathematics classrooms and socio-political perspectives on mathematics education. The first perspective has generated a substantial body of knowledge in the mathematics education. Interactionist research has deepened our understanding of interaction processes, socio-mathematical norms and the negotiation of meaning, generating a ‘micro-sociology’ or a ‘micro-ethnography’ of the mathematics classroom. More recently, socio-political perspectives on mathematics education interrelate educational practices in mathematics with macro-social issues of social equity, class, and race and with the policies that regulate institutionalized mathematics education. This book documents, strings together and juxtaposes research that uses ethnographical classroom data to explain, on the one hand, how socio-political issues play out in the mathematics class. On the other hand, it illuminates how class, race etc. affect the micro-sociology of the mathematics classroom. The volume advances the knowledge in the field by providing an empirical grounding of socio-political research on mathematics education, and it extends the frame in which mathematical classroom cultures are conceived.
Departments Of Labor And Health Education And Welfare Appropriations For 1970
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Author : United States. Congress. House Appropriations
language : en
Publisher:
Release Date : 1969
Departments Of Labor And Health Education And Welfare Appropriations For 1970 written by United States. Congress. House Appropriations and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1969 with categories.