Experimentation In Mathematics
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Experimentation In Mathematics
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Author : Jonathan M. Borwein
language : en
Publisher: CRC Press
Release Date : 2004-04-12
Experimentation In Mathematics written by Jonathan M. Borwein and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-04-12 with Mathematics categories.
New mathematical insights and rigorous results are often gained through extensive experimentation using numerical examples or graphical images and analyzing them. Today computer experiments are an integral part of doing mathematics. This allows for a more systematic approach to conducting and replicating experiments. The authors address the role of
Introduction To Experimental Mathematics
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Author : Søren Eilers
language : en
Publisher: Cambridge University Press
Release Date : 2017-06
Introduction To Experimental Mathematics written by Søren Eilers and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-06 with Computers categories.
This text introduces students to an experimental approach to mathematics, using Maple to systematically investigate and develop mathematical theory.
Experimental And Computational Mathematics
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Author : Jonathan M. Borwein
language : en
Publisher: PSIpress
Release Date : 2010
Experimental And Computational Mathematics written by Jonathan M. Borwein and has been published by PSIpress this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Mathematics categories.
A quiet revolution in mathematical computing and scientific visualization took place in the latter half of the 20th century. These developments have dramatically enhanced modes of mathematical insight and opportunities for "exploratory" computational experimentation. This volume collects the experimental and computational contributions of Jonathan and Peter Borwein over the past quarter century.
Mathematics By Experiment
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Author : Jonathan Borwein
language : en
Publisher: CRC Press
Release Date : 2008-10-27
Mathematics By Experiment written by Jonathan Borwein and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-10-27 with Mathematics categories.
This revised and updated second edition maintains the content and spirit of the first edition and includes a new chapter, "Recent Experiences", that provides examples of experimental mathematics that have come to light since the publication of the first edition in 2003. For more examples and insights, Experimentation in Mathematics: Computational P
Humans With Media And The Reorganization Of Mathematical Thinking
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Author : Marcelo C. Borba
language : en
Publisher: Springer Science & Business Media
Release Date : 2005-07-25
Humans With Media And The Reorganization Of Mathematical Thinking written by Marcelo C. Borba 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 2005-07-25 with Education categories.
As we enter into the 21"Century, the presence of technology, particularly techno-science, in everyday life is overwhelming. Institutions in the modem world are affected by this presence. Like Janus, the ancient Roman god whose double-faced head signified his knowledge of the present and the future, education has always been a two-faced enterprise. The past establishes goals and methods of Education, and the other face tries to capture the future and suggests and proposes new directions of thought and new styles of behavior for the generation which, in a few years, will take over both routines and societal innovation. History tells us that this face of Education has always been sensitive to emerging technologies. Technologies of communication and information have been particularly influential in new directions of society, in particular of education. The transition from orality to writing marked a new role for the teacher. From the sole repository of accumulated knowledge, the teacher became a guide and interpreter of registered knowledge. The emergence of hardware, in the form of documents and books, initiated a companionship between teacher and hardware. It is also remarkable how the emergence of writing strengthened individual memory, contrary to the concerns of Thamus when Theuth explained to him the discovery of writing. The conservative king was afraid that the new invention would implant forgetfulness in the souls of men.
Experimental Mathematics In Action
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Author : David Bailey
language : en
Publisher: CRC Press
Release Date : 2007-05-31
Experimental Mathematics In Action written by David Bailey and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-05-31 with Mathematics categories.
With the continued advance of computing power and accessibility, the view that "real mathematicians don't compute" no longer has any traction for a newer generation of mathematicians. The goal in this book is to present a coherent variety of accessible examples of modern mathematics where intelligent computing plays a significant role and in so doi
Gems In Experimental Mathematics
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Author : Tewodros Amdeberhan
language : en
Publisher: American Mathematical Soc.
Release Date : 2010
Gems In Experimental Mathematics written by Tewodros Amdeberhan 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 2010 with Mathematics categories.
These proceedings reflect the special session on Experimental Mathematics held January 5, 2009, at the Joint Mathematics Meetings in Washington, DC as well as some papers specially solicited for this volume. Experimental Mathematics is a recently structured field of Mathematics that uses the computer and advanced computing technology as a tool to perform experiments. These include the analysis of examples, testing of new ideas, and the search of patterns to suggest results and to complement existing analytical rigor. The development of a broad spectrum of mathematical software products, such as MathematicaR and MapleTM, has allowed mathematicians of diverse backgrounds and interests to use the computer as an essential tool as part of their daily work environment. This volume reflects a wide range of topics related to the young field of Experimental Mathematics. The use of computation varies from aiming to exclude human input in the solution of a problem to traditional mathematical questions for which computation is a prominent tool.
Computational Experiment Approach To Advanced Secondary Mathematics Curriculum
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Author : Sergei Abramovich
language : en
Publisher: Springer Science & Business Media
Release Date : 2014-05-08
Computational Experiment Approach To Advanced Secondary Mathematics Curriculum written by Sergei Abramovich 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 2014-05-08 with Education categories.
This book promotes the experimental mathematics approach in the context of secondary mathematics curriculum by exploring mathematical models depending on parameters that were typically considered advanced in the pre-digital education era. This approach, by drawing on the power of computers to perform numerical computations and graphical constructions, stimulates formal learning of mathematics through making sense of a computational experiment. It allows one (in the spirit of Freudenthal) to bridge serious mathematical content and contemporary teaching practice. In other words, the notion of teaching experiment can be extended to include a true mathematical experiment. When used appropriately, the approach creates conditions for collateral learning (in the spirit of Dewey) to occur including the development of skills important for engineering applications of mathematics. In the context of a mathematics teacher education program, the book addresses a call for the preparation of teachers capable of utilizing modern technology tools for the modeling-based teaching of mathematics with a focus on methods conducive to the improvement of the whole STEM education at the secondary level. By the same token, using the book’s pedagogy and its mathematical content in a pre-college classroom can assist teachers in introducing students to the ideas that develop the foundation of engineering profession.
Tapas In Experimental Mathematics
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Author : Tewodros Amdeberhan
language : en
Publisher: American Mathematical Soc.
Release Date : 2008
Tapas In Experimental Mathematics written by Tewodros Amdeberhan 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 with Mathematics categories.
Experimental Mathematics is a recently structured field of Mathematics that uses a computer and advanced computing technology as tools to perform experiments such as analysis of examples, testing of new ideas, and the search of patterns.
Tools And Mathematics
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Author : John Monaghan
language : en
Publisher: Springer
Release Date : 2016-04-18
Tools And Mathematics written by John Monaghan and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-04-18 with Education categories.
This book is an exploration of tools and mathematics and issues in mathematics education related to tool use. The book has five parts. The first part reflects on doing a mathematical task with different tools, followed by a mathematician's account of tool use in his work. The second considers prehistory and history: tools in the development from ape to human; tools and mathematics in the ancient world; tools for calculating; and tools in mathematics instruction. The third part opens with a broad review of technology and intellectual trends, circa 1970, and continues with three case studies of approaches in mathematics education and the place of tools in these approaches. The fourth part considers issues related to mathematics instructions: curriculum, assessment and policy; the calculator debate; mathematics in the real world; and teachers' use of technology. The final part looks to the future: task and tool design and new forms of activity via connectivity and computer games.