Mathematics Without Borders

Mathematics Without Borders PDF Author: Olli Lehto
Publisher: Springer Science & Business Media
ISBN: 1461206138
Category : Mathematics
Languages : en
Pages : 409

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Book Description
At its meeting in April 1990 at the University of Cambridge, the Executive Committee of the International Mathematical Union (IMU) decided that the largely unorganized archives of the Union should be properly arranged and catalogued. Simultaneously, the Executive Committee expressed the wish that a history of the Union should be written [1). As Secretary of the Union, I had proposed that these issues be dis cussed at the Cambridge meeting, but without having had in mind any personal role in the practical execution of such projects. At that time, the papers of the IMU were stored in Zurich, at the Eidgenossische Technische Hochschule, and I saw no reason why they could not remain there. At about this time, Professor K. Chandrasekharan produced a handwritten article titled "The Prehistory of the International Mathematical Union" [2), and it seemed to me that this might serve as the beginning of a more compre hensive history. I had first thought that Tuulikki MakeUiinen, who during eight years as the Office Secretary ofthe IMU had become well acquainted with the Union, would do the arranging of the archives in Zurich. She had a preliminary look at the material there, but it soon became clear that the amount of work required to bring order to it was too great to be accomplished in a few short visits from Helsinki. The total volume of material was formidable.

Mathematics Without Borders

Mathematics Without Borders PDF Author: Olli Lehto
Publisher: Springer Science & Business Media
ISBN: 1461206138
Category : Mathematics
Languages : en
Pages : 409

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Book Description
At its meeting in April 1990 at the University of Cambridge, the Executive Committee of the International Mathematical Union (IMU) decided that the largely unorganized archives of the Union should be properly arranged and catalogued. Simultaneously, the Executive Committee expressed the wish that a history of the Union should be written [1). As Secretary of the Union, I had proposed that these issues be dis cussed at the Cambridge meeting, but without having had in mind any personal role in the practical execution of such projects. At that time, the papers of the IMU were stored in Zurich, at the Eidgenossische Technische Hochschule, and I saw no reason why they could not remain there. At about this time, Professor K. Chandrasekharan produced a handwritten article titled "The Prehistory of the International Mathematical Union" [2), and it seemed to me that this might serve as the beginning of a more compre hensive history. I had first thought that Tuulikki MakeUiinen, who during eight years as the Office Secretary ofthe IMU had become well acquainted with the Union, would do the arranging of the archives in Zurich. She had a preliminary look at the material there, but it soon became clear that the amount of work required to bring order to it was too great to be accomplished in a few short visits from Helsinki. The total volume of material was formidable.

Logic Without Borders

Logic Without Borders PDF Author: Åsa Hirvonen
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 1614516871
Category : Philosophy
Languages : en
Pages : 438

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Book Description
In recent years, mathematical logic has developed in many directions, the initial unity of its subject matter giving way to a myriad of seemingly unrelated areas. The articles collected here, which range from historical scholarship to recent research in geometric model theory, squarely address this development. These articles also connect to the diverse work of Väänänen, whose ecumenical approach to logic reflects the unity of the discipline.

Learners Without Borders

Learners Without Borders PDF Author: Yong Zhao
Publisher: Corwin Press
ISBN: 1506377386
Category : Education
Languages : en
Pages : 117

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Book Description
The future of education centers empowered students in a global learning ecosystem. Despite decades of reform, the traditional borders of education—graduation, curriculum, classrooms, schools—have failed to deliver on the goals of excellence and equity. Despite massive societal changes, education remains controlled by an old mindset. It is time to change that limiting mindset and, more importantly, the ineffective practices in education. To truly serve all learners, future classrooms must remove the boundaries of learning and become student-centered, culturally responsive, and personalized—supportive and equitable environments where each student can direct their own learning and seek multiple pathways to skills and knowledge in a global learning ecosystem. This compelling call for transformative change offers all involved in education Evidence-based arguments that reveal the need to break the traditional borders that limit learning Strategies to personalize learning and remove the confinement of traditional pathways Examples from around the world to create equitable and student-centric learning environments Resources for creating a school learning environment that expands opportunities for personalized learning into the global learning ecosystem It is time to now imagine a different kind of learning, without borders, and to begin the shifts in practice that will result in personalized learning for all students.

The Outer Limits of Reason

The Outer Limits of Reason PDF Author: Noson S. Yanofsky
Publisher: MIT Press
ISBN: 026252984X
Category : Science
Languages : en
Pages : 419

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Book Description
This exploration of the scientific limits of knowledge challenges our deep-seated beliefs about our universe, our rationality, and ourselves. “A must-read for anyone studying information science.” —Publishers Weekly, starred review Many books explain what is known about the universe. This book investigates what cannot be known. Rather than exploring the amazing facts that science, mathematics, and reason have revealed to us, this work studies what science, mathematics, and reason tell us cannot be revealed. In The Outer Limits of Reason, Noson Yanofsky considers what cannot be predicted, described, or known, and what will never be understood. He discusses the limitations of computers, physics, logic, and our own intuitions about the world—including our ideas about space, time, and motion, and the complex relationship between the knower and the known. Yanofsky describes simple tasks that would take computers trillions of centuries to complete and other problems that computers can never solve: • perfectly formed English sentences that make no sense • different levels of infinity • the bizarre world of the quantum • the relevance of relativity theory • the causes of chaos theory • math problems that cannot be solved by normal means • statements that are true but cannot be proven Moving from the concrete to the abstract, from problems of everyday language to straightforward philosophical questions to the formalities of physics and mathematics, Yanofsky demonstrates a myriad of unsolvable problems and paradoxes. Exploring the various limitations of our knowledge, he shows that many of these limitations have a similar pattern and that by investigating these patterns, we can better understand the structure and limitations of reason itself. Yanofsky even attempts to look beyond the borders of reason to see what, if anything, is out there.

Stories Without Borders

Stories Without Borders PDF Author: Julia Sonnevend
Publisher: Oxford University Press
ISBN: 019060431X
Category : History
Languages : en
Pages : 233

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Book Description
In Stories without Borders, Julia Sonnevend considers the ways in which we recount and remember news stories of historic significance. Focusing on the Berlin Wall and on subsequent retellings of the event in a variety of ways - from Legoland reenactments to slabs of the Berlin Wall installed in global cities - Sonnevend discusses how certain events become built up into global iconic events.

Math Without Numbers

Math Without Numbers PDF Author: Milo Beckman
Publisher: Penguin UK
ISBN: 0241507588
Category : Mathematics
Languages : en
Pages : 224

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Book Description
'The whizz-kid making maths supercool. . . A brilliant book that takes everything we know (and fear) about maths out of the equation - starting with numbers' The Times 'A cheerful, chatty, and charming trip through the world of mathematics. . . Everyone should read this delightful book' Ian Stewart, author of Do Dice Play God? The only numbers in this book are the page numbers. The three main branches of abstract math - topology, analysis, and algebra - turn out to be surprisingly easy to grasp. Or at least, they are when our guide is a math prodigy. With forthright wit and warm charm, Milo Beckman upends the conventional approach to mathematics, inviting us to think creatively about shape and dimension, the infinite and the infinitesimal, symmetries, proofs, and all how all these concepts fit together. Why is there a million dollar prize for counting shapes? Is anything bigger than infinity? And how is the 'truth' of mathematics actually decided? A vivid and wholly original guide to the math that makes the world tick and the planets revolve, Math Without Numbers makes human and understandable the elevated and hypothetical, allowing us to clearly see abstract math for what it is: bizarre, beautiful, and head-scratchingly wonderful.

Precalculus with Trigonometry

Precalculus with Trigonometry PDF Author: Paul A. Foerster
Publisher:
ISBN: 9781559537926
Category : Calculus
Languages : en
Pages : 0

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Book Description


Justice Without Borders

Justice Without Borders PDF Author: Kok-Chor Tan
Publisher: Cambridge University Press
ISBN: 9780521542326
Category : History
Languages : en
Pages : 238

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Book Description
The cosmopolitan idea of justice is commonly accused of not taking seriously the special ties and commitments of nationality and patriotism. This is because the ideal of impartial egalitarianism, which is central to the cosmopolitan view, seems to be directly opposed to the moral partiality inherent to nationalism and patriotism. In this book, Kok-Chor Tan argues that cosmopolitan justice, properly understood, can accommodate and appreciate nationalist and patriotic commitments, setting limits for these commitments without denying their moral significance. This book offers a defense of cosmopolitan justice against the charge that it denies the values that ordinarily matter to people, and a defence of nationalism and patriotism against the charge that these morally partial ideals are fundamentally inconsistent with the obligations of global justice. Accessible and persuasive, this book will have broad appeal to political theorists and moral philosophers.

Mathematics Without Boundaries

Mathematics Without Boundaries PDF Author: Themistocles M. Rassias
Publisher: Springer
ISBN: 1493911066
Category : Mathematics
Languages : en
Pages : 783

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Book Description
The contributions in this volume have been written by eminent scientists from the international mathematical community and present significant advances in several theories, methods and problems of Mathematical Analysis, Discrete Mathematics, Geometry and their Applications. The chapters focus on both old and recent developments in Functional Analysis, Harmonic Analysis, Complex Analysis, Operator Theory, Combinatorics, Functional Equations, Differential Equations as well as a variety of Applications. The book also contains some review works, which could prove particularly useful for a broader audience of readers in Mathematical Sciences, and especially to graduate students looking for the latest information.

Talent Without Borders

Talent Without Borders PDF Author: Robert E. Ployhart
Publisher: Oxford University Press
ISBN: 0199746893
Category : Business & Economics
Languages : en
Pages : 401

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Book Description
Global talent strategy -- Talent analytics -- Recruiting talent globally -- Selecting talent globally -- Global staffing and talent management