Selecta Diophantine Problems And Polynomials

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Selecta Diophantine Problems And Polynomials
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Author : Andrzej Schinzel
language : en
Publisher: European Mathematical Society
Release Date : 2007
Selecta Diophantine Problems And Polynomials written by Andrzej Schinzel and has been published by European Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Analyse diophantienne categories.
Pangeometry
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Author : Nikolaĭ Ivanovich Lobachevskiĭ
language : en
Publisher: European Mathematical Society
Release Date : 2010
Pangeometry written by Nikolaĭ Ivanovich Lobachevskiĭ and has been published by European Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Mathematics categories.
Lobachevsky wrote Pangeometry in 1855, the year before his death. This memoir is a resume of his work on non-Euclidean geometry and its applications and can be considered his clearest account on the subject. It is also the conclusion of his life's work and the last attempt he made to acquire recognition. The treatise contains basic ideas of hyperbolic geometry, including the trigonometric formulae, the techniques of computation of arc length, of area and of volume, with concrete examples. It also deals with the applications of hyperbolic geometry to the computation of new definite integrals. The techniques are different from those found in most modern books on hyperbolic geometry since they do not use models. Besides its historical importance, Lobachevsky's Pangeometry is a beautiful work, written in a simple and condensed style. The material that it contains is still very alive, and reading this book will be most useful for researchers and for students in geometry and in the history of science. It can be used as a textbook, as a sourcebook, and as a repository of inspiration. The present edition provides the first complete English translation of Pangeometry available in print. It contains facsimiles of both the Russian and the French original versions. The translation is accompanied by notes, followed by a biography of Lobachevky and an extensive commentary.
The Mathematical Writings Of Variste Galois
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Author : Évariste Galois
language : en
Publisher: European Mathematical Society
Release Date : 2011
The Mathematical Writings Of Variste Galois written by Évariste Galois and has been published by European Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Mathematics categories.
Before he died at the age of twenty, shot in a mysterious early-morning duel at the end of May 1832, Evariste Galois created mathematics that changed the direction of algebra. This book contains English translations of almost all the Galois material. The translations are presented alongside a new transcription of the original French and are enhanced by three levels of commentary. An introduction explains the context of Galois' work, the various publications in which it appears, and the vagaries of his manuscripts. Then there is a chapter in which the five mathematical articles published in his lifetime are reprinted. After that come the testamentary letter and the first memoir (in which Galois expounded on the ideas that led to Galois Theory), which are the most famous of the manuscripts. These are followed by the second memoir and other lesser known manuscripts. This book makes available to a wide mathematical and historical readership some of the most exciting mathematics of the first half of the nineteenth century, presented in its original form. The primary aim is to establish a text of what Galois wrote. The details of what he did, the proper evidence of his genius, deserve to be well understood and appreciated by mathematicians as well as historians of mathematics.
From Cardano S Great Art To Lagrange S Reflections
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Author : Jacqueline A. Stedall
language : en
Publisher: European Mathematical Society
Release Date : 2011
From Cardano S Great Art To Lagrange S Reflections written by Jacqueline A. Stedall and has been published by European Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Mathematics categories.
This book is an exploration of a claim made by Lagrange in the autumn of 1771 as he embarked upon his lengthy ``Reflexions sur la resolution algebrique des equations'': that there had been few advances in the algebraic solution of equations since the time of Cardano in the mid sixteenth century. That opinion has been shared by many later historians. The present study attempts to redress that view and to examine the intertwined developments in the theory of equations from Cardano to Lagrange. A similar historical exploration led Lagrange himself to insights that were to transform the entire nature and scope of algebra. Progress was not confined to any one country: at different times mathematicians in Italy, France, the Netherlands, England, Scotland, Russia, and Germany contributed to the discussion and to a gradual deepening of understanding. In particular, the national Academies of Berlin, St. Petersburg, and Paris in the eighteenth century were crucial in supporting informed mathematical communities and encouraging the wider dissemination of key ideas. This study therefore truly highlights the existence of a European mathematical heritage. The book is written in three parts. Part I offers an overview of the period from Cardano to Newton (1545 to 1707) and is arranged chronologically. Part II covers the period from Newton to Lagrange (1707 to 1771) and treats the material according to key themes. Part III is a brief account of the aftermath of the discoveries made in the 1770s. The book attempts throughout to capture the reality of mathematical discovery by inviting the reader to follow in the footsteps of the authors themselves, with as few changes as possible to the original notation and style of presentation.
Number Theory Diophantine Problems Uniform Distribution And Applications
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Author : Christian Elsholtz
language : en
Publisher: Springer
Release Date : 2017-05-26
Number Theory Diophantine Problems Uniform Distribution And Applications written by Christian Elsholtz and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-05-26 with Mathematics categories.
This volume is dedicated to Robert F. Tichy on the occasion of his 60th birthday. Presenting 22 research and survey papers written by leading experts in their respective fields, it focuses on areas that align with Tichy’s research interests and which he significantly shaped, including Diophantine problems, asymptotic counting, uniform distribution and discrepancy of sequences (in theory and application), dynamical systems, prime numbers, and actuarial mathematics. Offering valuable insights into recent developments in these areas, the book will be of interest to researchers and graduate students engaged in number theory and its applications.
Andrzej Schinzel Selecta Volume I Diophantine Problems And Polynomials Vol 1
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Author :
language : en
Publisher:
Release Date : 2007
Andrzej Schinzel Selecta Volume I Diophantine Problems And Polynomials Vol 1 written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with categories.
New Computational Paradigms
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Author : S.B. Cooper
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-11-28
New Computational Paradigms written by S.B. Cooper 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 2007-11-28 with Computers categories.
This superb exposition of a complex subject examines new developments in the theory and practice of computation from a mathematical perspective, with topics ranging from classical computability to complexity, from biocomputing to quantum computing. This book is suitable for researchers and graduate students in mathematics, philosophy, and computer science with a special interest in logic and foundational issues. Most useful to graduate students are the survey papers on computable analysis and biological computing. Logicians and theoretical physicists will also benefit from this book.
Kvant Selecta Algebra And Analysis I
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Author : Serge Tabachnikov
language : en
Publisher: American Mathematical Soc.
Release Date : 1999-08-03
Kvant Selecta Algebra And Analysis I written by Serge Tabachnikov 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 1999-08-03 with Mathematics categories.
A selection of 17 articles published in the influential Russian journal Kvant (Quantum) from 1970 to 1990. They present mathematics in a conceptual, entertaining, and accessible way for students and teachers at undergraduate and advanced high school levels. The titles include Do You Like Messing Around with Integers?, On Bertrand's Conjecture, and best of all Amazing Adventures in the Land of Repeating Decimals. The series will continue. There is no index. Annotation copyrighted by Book News, Inc., Portland, OR
Kvant Selecta Algebra And Analysis Ii
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Author : Serge Tabachnikov
language : en
Publisher: American Mathematical Soc.
Release Date : 1999
Kvant Selecta Algebra And Analysis Ii written by Serge Tabachnikov 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 1999 with Mathematics categories.
This text is the second in a series of translated articles published since 1970 in Kvant ("Quantum"), the influential Russian journal of mathematics and physics education. The 16 contributions treat diverse aspects of analysis and algebra: e.g. formulas for prime numbers, Chebyshev polynomials, elliptical curves. Lacks an index. Annotation copyrighted by Book News, Inc., Portland, OR
Semigroups And Automata
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Author : Uno Kaljulaid
language : en
Publisher: IOS Press
Release Date : 2006
Semigroups And Automata written by Uno Kaljulaid and has been published by IOS Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Computers categories.
This volume provides a selection of previously published papers and manuscripts of Uno Kaljulaid, an eminent Estonian algebraist of the last century. The central part of the book is the English translation of Kaljulaid's 1979 Candidate thesis, which originally was typewritten in Russian and manufactured in not so many copies. The thesis is devoted to representation theory in the spirit of his thesis advisor B.I. Plotkin: representations of semigroups and algebras, especially extension to this situation, and application of the notion of triangular product of representations for groups introduced by Plotkin. Through representation theory, Kaljulaid became also interested in automata theory, which at a later phase became his main area of interest. Another field of research concerns combinatorics. Besides being an outstanding and most dedicated mathematician, Uno Kaljulaid was also very much interested in the history of mathematics. In particular, he took a vivid interest in the life and work of the great 19th century Dorpat-Tartu algebraist Th. Molien. Kaljulaid was also very interested in teaching and exposition, or popularization of mathematics. Some of his more popular-scientific papers were published in an Estonian language journal Matemaatika ja Kaasaeg (Mathematics and Our Age). Among them, there is a whole series of papers about algebraic matters, culminating in a brilliant, elementary - although partly rather philosophical - essay devoted to Galois theory. Another such series is his excellent essay of Diophantine Geometry in various installments, followed by his loge to another of his teachers Yu. I. Manin. It is believed that the inclusion of these papers here will make it more interesting for beginners, and perhaps even contribute to attracting young people to mathematics.