Irrationality Transcendence And The Circle Squaring Problem
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Irrationality Transcendence And The Circle Squaring Problem
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Author : Eduardo Dorrego López
language : en
Publisher: Springer Nature
Release Date :
Irrationality Transcendence And The Circle Squaring Problem written by Eduardo Dorrego López and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
Irrationality Transcendence And The Circle Squaring Problem
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Author : Eduardo Dorrego López
language : en
Publisher: Springer Nature
Release Date : 2023-03-07
Irrationality Transcendence And The Circle Squaring Problem written by Eduardo Dorrego López and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-03-07 with Mathematics categories.
This publication includes an unabridged and annotated translation of two works by Johann Heinrich Lambert (1728–1777) written in the 1760s: Vorläufige Kenntnisse für die, so die Quadratur und Rectification des Circuls suchen and Mémoire sur quelques propriétés remarquables des quantités transcendentes circulaires et logarithmiques. The translations are accompanied by a contextualised study of each of these works and provide an overview of Lambert’s contributions, showing both the background and the influence of his work. In addition, by adopting a biographical approach, it allows readers to better get to know the scientist himself. Lambert was a highly relevant scientist and polymath in his time, admired by the likes of Kant, who despite having made a wide variety of contributions to different branches of knowledge, later faded into an undeserved secondary place with respect to other scientists of the eighteenth century. In mathematics, in particular, he is famous for his research on non-Euclidean geometries, although he is likely best known for having been the first who proved the irrationality of pi. In his Mémoire, he conducted one of the first studies on hyperbolic functions, offered a surprisingly rigorous proof of the irrationality of pi, established for the first time the modern distinction between algebraic and transcendental numbers, and based on such distinction, he conjectured the transcendence of pi and therefore the impossibility of squaring the circle.
The Honors Class
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Author : Ben Yandell
language : en
Publisher: CRC Press
Release Date : 2001-12-12
The Honors Class written by Ben Yandell and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-12-12 with Mathematics categories.
This eminently readable book focuses on the people of mathematics and draws the reader into their fascinating world. In a monumental address, given to the International Congress of Mathematicians in Paris in 1900, David Hilbert, perhaps the most respected mathematician of his time, developed a blueprint for mathematical research in the new century.
Communication
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Author : Igor E. Klyukanov
language : en
Publisher: Berghahn Books
Release Date : 2022-06-10
Communication written by Igor E. Klyukanov and has been published by Berghahn Books this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-06-10 with Language Arts & Disciplines categories.
Focusing on the scientific study of communication, this book is a systematic examination. To that end, the natural, social, cultural, and rational scientific perspectives on communication are presented and then brought together in one unifying framework of the semiotic square, showing how all four views are interconnected. The question of whether the study of communication can be considered a unique science is addressed. It is argued that communication is never separate from any object of study and thus we always deal with its manifestations, captured in the four scientific perspectives discussed in the book.
Irrational Numbers
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Author : Ivan Niven
language : en
Publisher: Cambridge University Press
Release Date : 2005-08-18
Irrational Numbers written by Ivan Niven 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 2005-08-18 with Mathematics categories.
In this monograph, Ivan Niven provides a masterful exposition of some central results on irrational, transcendental, and normal numbers. He gives a complete treatment by elementary methods of the irrationality of the exponential, logarithmic, and trigonometric functions with rational arguments. The approximation of irrational numbers by rationals, up to such results as the best possible approximation of Hurwitz, is also given with elementary technique. The last third of the monograph treats normal and transcendental numbers, including the Lindemann theorem, and the Gelfond-Schneider theorem. The book is wholly self-contained. The results needed from analysis and algebra are central. Well-known theorems, and complete references to standard works are given to help the beginner. The chapters are for the most part independent. There are notes at the end of each chapter citing the main sources used by the author and suggesting further reading.
Pi A Source Book
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Author : J.L. Berggren
language : en
Publisher: Springer
Release Date : 2014-01-13
Pi A Source Book written by J.L. Berggren and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-13 with Mathematics categories.
This book documents the history of pi from the dawn of mathematical time to the present. One of the beauties of the literature on pi is that it allows for the inclusion of very modern, yet accessible, mathematics. The articles on pi collected herein fall into various classes. First and foremost there is a selection from the mathematical and computational literature of four millennia. There is also a variety of historical studies on the cultural significance of the number. Additionally, there is a selection of pieces that are anecdotal, fanciful, or simply amusing. For this new edition, the authors have updated the original material while adding new material of historical and cultural interest. There is a substantial exposition of the recent history of the computation of digits of pi, a discussion of the normality of the distribution of the digits, and new translations of works by Viete and Huygen.
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.
Logic Epistemology And The Unity Of Science
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Author : Shahid Rahman
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-03-15
Logic Epistemology And The Unity Of Science written by Shahid Rahman 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 2009-03-15 with Philosophy categories.
The first volume in this new series explores, through extensive co-operation, new ways of achieving the integration of science in all its diversity. The book offers essays from important and influential philosophers in contemporary philosophy, discussing a range of topics from philosophy of science to epistemology, philosophy of logic and game theoretical approaches. It will be of interest to philosophers, computer scientists and all others interested in the scientific rationality.
Mathematical Problems And Proofs
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Author : Branislav Kisačanin
language : en
Publisher: Springer Science & Business Media
Release Date : 1998-10-31
Mathematical Problems And Proofs written by Branislav Kisačanin 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 1998-10-31 with Education categories.
Introduces the various fields of discrete mathematics to talented high school students and to undergraduates who would like to see illustrations of abstract mathematical concepts and learn a bit about their historic origin. Also teaches how to read mathematical literature in general, which is, always with pencil and paper to hand. Annotation copyrighted by Book News, Inc., Portland, OR
Number Theory Iv
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Author : A.N. Parshin
language : en
Publisher: Springer
Release Date : 1997-10-06
Number Theory Iv written by A.N. Parshin and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-10-06 with Mathematics categories.
This book is a survey of the most important directions of research in transcendental number theory. For readers with no specific background in transcendental number theory, the book provides both an overview of the basic concepts and techniques and also a guide to the most important results and references.