Mathematics By Experiment
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Mathematics By Experiment 2nd Edition
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Author : Jonathan M. Borwein
language : en
Publisher: A K Peters Ltd
Release Date : 2004
Mathematics By Experiment 2nd Edition written by Jonathan M. Borwein and has been published by A K Peters Ltd this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Computers categories.
This new approach to mathematics---the utilization of advanced computing technology in mathematical research---is often called experimental mathematics. The computer provides the mathematician with a "laboratory" in which she can perform experiments---analyzing examples, testing out new ideas, or searching for patterns. This book presents the rationale and historical context of experimental mathematics, and includes a series of examples that best portray the experimental methodology. For more examples and insights, the book, "Experimentation in Mathematics: Computational Paths to Discovery" is a highly recommended companion.
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
Mathematics Experiments
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Author : Falai Chen
language : en
Publisher: World Scientific Publishing Company
Release Date : 2003-02-18
Mathematics Experiments written by Falai Chen and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-02-18 with Mathematics categories.
Owing to the advent of computers, experiments are becoming an increasingly important part of mathematics. This book provides guidance to students doing experiments in mathematics. The aim is to stimulate interest in mathematics through examples and experiments.Each experiment in the book starts with an interesting problem. The students are expected to work with these problems on computers, try to find the solutions themselves, and experience the scientific exploration in the process.The problems which the authors have chosen cover a wide spectrum in mathematics, ranging from calculus, number theory, coding and probability to geometry and chaos. They are introduced in a simple way and yet show great depth. The discussions are thorough but not lengthy.This book is useful not only to mathematics students, but also to students in all areas of sciences who are interested in learning some of the mathematical tools. It provides a hands-on approach to the most fundamental issues in mathematics — an approach which may help to revolutionize the teaching of mathematics.
Mathematics By Experiment 2nd Edition
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Author : Jonathan Borwein
language : en
Publisher: A K Peters/CRC Press
Release Date : 2008-10-27
Mathematics By Experiment 2nd Edition written by Jonathan Borwein and has been published by A K Peters/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 Paths to Discovery is a highly recommended companion.
The Experimenter S A Z Of Mathematics
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Author : Steve Humble
language : en
Publisher: Routledge
Release Date : 2017-09-08
The Experimenter S A Z Of Mathematics written by Steve Humble and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-09-08 with Education categories.
Mathematics at all levels is about the joy in the discovery; it's about finding things out. This fascinating book is a guide to that discovery process, presenting ideas for practical classroom-based experiments and extension activities. Each experiment is based on the work of a key mathematician who has shaped the way that the subject looks today, and there are historical notes to help teachers bring this work to life. The book includes instructions on how to recreate the experiments using practical mathematics, computer programs and graphical calculators; ideas for follow-up work; background information for teachers on the mathematics involved; and links to the new secondary numeracy strategy framework. Accompanying the book are downloadable resources with computer programs that can be used and reworked as part of the experimental process. With a wide range of topics covered, and plenty of scope for interesting follow-up activities, the book will be a valuable tool for mathematics teachers looking to extend the curriculum.
Mathematics Study Material
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Author : YCT Expert Team
language : en
Publisher: YOUTH COMPETITION TIMES
Release Date :
Mathematics Study Material written by YCT Expert Team and has been published by YOUTH COMPETITION TIMES this book supported file pdf, txt, epub, kindle and other format this book has been release on with Antiques & Collectibles categories.
2023-245 EMRS TGT SSE Mathematics Study Material
Mathematics Experiments
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Author : Shangzhi Li
language : en
Publisher: World Scientific
Release Date : 2003
Mathematics Experiments written by Shangzhi Li and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Mathematics categories.
Owing to the advent of computers, experiments are becoming an increasingly important part of mathematics. This book provides guidance to students doing experiments in mathematics. The aim is to stimulate interest in mathematics through examples and experiments. Each experiment in the book starts with an interesting problem. The students are expected to work with these problems on computers, try to find the solutions themselves, and experience the scientific exploration in the process. The problems which the authors have chosen cover a wide spectrum in mathematics, ranging from calculus, number theory, coding and probability to geometry and chaos. They are introduced in a simple way and yet show great depth. The discussions are thorough but not lengthy. This book is useful not only to mathematics students, but also to students in all areas of sciences who are interested in learning some of the mathematical tools. It provides a hands-on approach to the most fundamental issues in mathematics -- an approach which may help to revolutionize the teaching of mathematics.
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.
An Historical Introduction To The Philosophy Of Mathematics A Reader
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Author : Russell Marcus
language : en
Publisher: Bloomsbury Publishing
Release Date : 2016-02-11
An Historical Introduction To The Philosophy Of Mathematics A Reader written by Russell Marcus and has been published by Bloomsbury Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-02-11 with Philosophy categories.
A comprehensive collection of historical readings in the philosophy of mathematics and a selection of influential contemporary work, this much-needed introduction reveals the rich history of the subject. An Historical Introduction to the Philosophy of Mathematics: A Reader brings together an impressive collection of primary sources from ancient and modern philosophy. Arranged chronologically and featuring introductory overviews explaining technical terms, this accessible reader is easy-to-follow and unrivaled in its historical scope. With selections from key thinkers such as Plato, Aristotle, Descartes, Hume and Kant, it connects the major ideas of the ancients with contemporary thinkers. A selection of recent texts from philosophers including Quine, Putnam, Field and Maddy offering insights into the current state of the discipline clearly illustrates the development of the subject. Presenting historical background essential to understanding contemporary trends and a survey of recent work, An Historical Introduction to the Philosophy of Mathematics: A Reader is required reading for undergraduates and graduate students studying the philosophy of mathematics and an invaluable source book for working researchers.
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.