Nature And History Of Pi

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Nature And History Of Pi

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Author : School Mathematics Study Group
language : en
Publisher:
Release Date : 1967

Nature And History Of Pi written by School Mathematics Study Group and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1967 with Mathematics categories.

Pi In Nature Art And Culture

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Author : Marcel Danesi
language : en
Publisher: BRILL
Release Date : 2020-12-07

Pi In Nature Art And Culture written by Marcel Danesi and has been published by BRILL this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-12-07 with Mathematics categories.

In Pi (π) in Nature, Art, and Culture Marcel Danesi revisits the importance of π as a pattern in the structure of reality, fitting in with the Pythagorean view of Order. Pi has cropped up in formulas that describe natural and physical structures which, on the surface, seem to have nothing to do with a circle, but might harbor the archetype of circularity as a principle. Through π, this book thus revisits the implicit ancient Greek view that geometry was a 'hermeneutic science,' a discipline aiming to investigate the connectivity among numbers, shapes, and natural phenomena. It also examines its manifestations in aesthetic, symbolic and cultural structures, which point to an abiding fascination with the circle as an unconscious archetype. Hermeneutic geometry is ultimately about the exploration of the meanings of geometric-mathematical notions to science and human life.

A History Of Pi

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Author : Petr Beckmann
language : en
Publisher: Macmillan
Release Date : 1971

A History Of Pi written by Petr Beckmann and has been published by Macmillan this book supported file pdf, txt, epub, kindle and other format this book has been release on 1971 with Mathematics categories.

Traces the history of the mathematical constant pi from the stone age through the computer age, discussing the background of the times when pi progressed, and when it did not.

Pi A Source Book

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Author : Jonathan M. Borwein
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29

Pi A Source Book written by Jonathan M. Borwein 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 2013-06-29 with Mathematics categories.

Our intention in this collection is to provide, largely through original writings, an ex tended account of pi from the dawn of mathematical time to the present. The story of pi reflects the most seminal, the most serious, and sometimes the most whimsical aspects of mathematics. A surprising amount of the most important mathematics and a signifi cant number of the most important mathematicians have contributed to its unfolding directly or otherwise. Pi is one of the few mathematical concepts whose mention evokes a response of recog nition and interest in those not concerned professionally with the subject. It has been a part of human culture and the educated imagination for more than twenty-five hundred years. The computation of pi is virtually the only topic from the most ancient stratum of mathematics that is still of serious interest to modern mathematical research. To pursue this topic as it developed throughout the millennia is to follow a thread through the history of mathematics that winds through geometry, analysis and special functions, numerical analysis, algebra, and number theory. It offers a subject that provides mathe maticians with examples of many current mathematical techniques as weIl as a palpable sense of their historical development. Why a Source Book? Few books serve wider potential audiences than does a source book. To our knowledge, there is at present no easy access to the bulk of the material we have collected.

Piece Of Pi

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Author : Naila Bokari
language : en
Publisher: Taylor & Francis
Release Date : 2023-05-31

Piece Of Pi written by Naila Bokari and has been published by Taylor & Francis this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-05-31 with Education categories.

There are some topics or problems that have captured the interest of mathematicians for ages. Calculating pi is one of them. While students often encounter pi in the mathematics classroom when applying various formulas, rarely do they use or explore pi in other contexts. This marvelous infinite number we know as pi shows up in many fascinating and mysterious ways. It can be found everywhere, from astronomy and probability, to the physics of sound and light. It is one of the most important numbers that exists. Help your students discover the number that has intrigued mathematicians for centuries. Learn different ways pi has been calculated through the ages, use pi to figure out your hat size, perform a variety of experiments to estimate the value of pi, or relate pi to the alphabet. These interesting and exciting activities encourage higher order thinking and offer a complete overview of this important number while giving students practice in important math skills. This guide includes detailed lesson plans aligned to NCTM standards and reproducible student worksheets. Use them for Pi Day (March 14), as an enrichment or extension to your existing curriculum, or to challenge your ablest math students. Grades 6-8

The Natural History Of Pigeons

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Author : William Jardine
language : en
Publisher:
Release Date : 1850

The Natural History Of Pigeons written by William Jardine and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1850 with Pigeons categories.

An Attempt Towards A Natural History Of The Fossils Of England

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Author : John Woodward
language : en
Publisher:
Release Date : 1729

An Attempt Towards A Natural History Of The Fossils Of England written by John Woodward and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1729 with England categories.

Pi The Next Generation

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Author : David H. Bailey
language : en
Publisher: Springer
Release Date : 2016-07-19

Pi The Next Generation written by David H. Bailey and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-07-19 with Mathematics categories.

This book contains a compendium of 25 papers published since the 1970s dealing with pi and associated topics of mathematics and computer science. The collection begins with a Foreword by Bruce Berndt. Each contribution is preceded by a brief summary of its content as well as a short key word list indicating how the content relates to others in the collection. The volume includes articles on actual computations of pi, articles on mathematical questions related to pi (e.g., “Is pi normal?”), articles presenting new and often amazing techniques for computing digits of pi (e.g., the “BBP” algorithm for pi, which permits one to compute an arbitrary binary digit of pi without needing to compute any of the digits that came before), papers presenting important fundamental mathematical results relating to pi, and papers presenting new, high-tech techniques for analyzing pi (i.e., new graphical techniques that permit one to visually see if pi and other numbers are “normal”). This volume is a companion to Pi: A Source Book whose third edition released in 2004. The present collection begins with 2 papers from 1976, published by Eugene Salamin and Richard Brent, which describe “quadratically convergent” algorithms for pi and other basic mathematical functions, derived from some mathematical work of Gauss. Bailey and Borwein hold that these two papers constitute the beginning of the modern era of computational mathematics. This time period (1970s) also corresponds with the introduction of high-performance computer systems (supercomputers), which since that time have increased relentlessly in power, by approximately a factor of 100,000,000, advancing roughly at the same rate as Moore’s Law of semiconductor technology. This book may be of interest to a wide range of mathematical readers; some articles cover more advanced research questions suitable for active researchers in the field, but several are highly accessible to undergraduate mathematics students.

Essays On Wittgenstein And Austrian Philosophy

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Author :
language : en
Publisher: BRILL
Release Date : 2022-07-04

Essays On Wittgenstein And Austrian Philosophy 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 2022-07-04 with Philosophy categories.

Essays on Wittgenstein and Austrian Philosophy is presented for the 60th birthday of professor Christoph Nyíri. The essays presented here for the first time are focused on Austrian intellectual history, and on Wittgenstein’s philosophy – the two main areas of Professor Nyíri’s interests. Typically, the contributors are outstanding scholars of the field, including among others David Bloor, Lee Congdon, Newton Garver, Wilhelm Lütterfields, Joachim Schulte, Barry Smith. The volume is of primary interest for Wittgenstein scholars and those studying the 19th and 20th century Austrian intellectual history. As the volume is presented for Professor Nyíri, the papers collected here reflect his interests in Wittgenstein and Austrian philosophy. Beginning with an introductory chapter on Nyiri’s achievements in this field of scholarship, the volume is in four parts. The first part contains essays on Austrian philosophy broadly understood, more precisely on its socio-historical context (Barry Smith and Wolfgang Grassl), on the relation between Marxism and Arnold Hauser’s philosophy and sociology of art (Lee Congdon), and Neurath’s connection to naturalistic epistemologies (Thomas Uebel). The second part presents Wittgenstein's philosophy in context. Jaakko Hintikka’s paper argues that Wittgenstein’s probable dyslexia can be seen as an external influence on and a source of his philosophy. David Bloor discusses Wittgenstein’s philosophy in the context of Edmund Burke’s conservatism, which can be read as a background of Nyiri’s influential interpretation of Wittgenstein as a conservative philosopher. Newton Garver also touches on the problem of conservatism while discussing passages of On Certainty in the context of Kant, Moore, and T.S. Eliot. Klaus Puhl’s essay connects Wittgenstein’s remarks on rule-following to Freud’s concept of retroactivity, and argues that rules emerging from empirical regularities can be seen as retroactive constructions. The papers in the third part of the volume offer close readings of Wittgenstein’s works. Rudolf Lüthe offers two readings of Wittgenstein’s criticism of philosophy in the Tractatus can be read in two ways with different consequences, among them is the appearance of philosophy inspired by art rather than the sciences. Joachim Schulte offers an interpretation of Wittgenstein’s use of ’natural history’ that can accommodate all of his remarks containing this concept. Herbert Hrachovec discusses the relation of pictorial and linguistic representations in Wittgenstein’s Nachlass, arguing that there is no pronounced opposition between the two. The forth part of the book, containing three papers in German, continues the close inspection of Wittgenstein’s later works. Wilhelm Lütterfelds reconstructs Wittgenstein’s philosophy of time as pointing out memory being the very source of time. Katalin Neumer inspects Wittgenstein’s frequent references to photographs in the context of aspect-seeing and compares them with other remarks on theatre, painting, and music. She concludes that there are no philosophically important structural differences between them. Peter Keicher’s paper offers a comprehensive view on Wittgenstein’s prefaces in the context of his various book-projects. The volume ends with a select bibliography of Professor Nyiri’s works.

Wittgenstein Scepticism And Naturalism

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Author : Marie McGinn
language : en
Publisher: Anthem Press
Release Date : 2021-12-07

Wittgenstein Scepticism And Naturalism written by Marie McGinn and has been published by Anthem Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-12-07 with Philosophy categories.

Central to any interpretation of Wittgenstein’s later philosophy is an understanding of his philosophical method and the nature of the turn which characterises the evolution from his early to his later work. In the essays in Wittgenstein, Scepticism and Naturalism, Marie McGinn argues that this methodological shift has at its heart a highly distinctive form of naturalism, which has its roots in the works of Goethe. This form of naturalism emphasises achieving a clarified view of complex, natural phenomena in their natural setting, with a view to describing patterns and connections that are in plain view. Wittgenstein is seen as applying these methods to the task of conceptual clarification, whose aim is to dissolve philosophical problems and paradoxes. The essays cover the following topics: scepticism about the external world; scepticism about other minds; knowledge and belief; meaning and rule-following; psychological states and the distinctive first-person use of psychological concepts; the relation between the early and the later philosophy; and the nature of Wittgenstein’s naturalism.