Selecta: Diophantine problems and polynomials PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Selecta: Diophantine problems and polynomials PDF full book. Access full book title Selecta: Diophantine problems and polynomials by Andrzej Schinzel. Download full books in PDF and EPUB format.
Author: Andrzej Schinzel
Publisher: European Mathematical Society
ISBN: 9783037190388
Category : Analyse diophantienne
Languages : en
Pages : 554
Get Book Here
Book Description
Author: Andrzej Schinzel
Publisher: European Mathematical Society
ISBN: 9783037190388
Category : Analyse diophantienne
Languages : en
Pages : 554
Get Book Here
Book Description
Author:
Publisher:
ISBN: 9783985475346
Category :
Languages : en
Pages : 0
Get Book Here
Book Description
Author: Andrzej Schinzel
Publisher:
ISBN: 9783037190388
Category : Analyse diophantienne
Languages : en
Pages : 0
Get Book Here
Book Description
Andrzej Schinzel, born in 1937, is a leading number theorist whose work has had a lasting impact on modern mathematics. He is the author of over 200 research articles in various branches of arithmetics, including elementary, analytic, and algebraic number theory. He has also been, for nearly 40 years, the editor of Acta Arithmetica, the first international journal devoted exclusively to number theory. Selecta, a two-volume set, contains Schinzel's most important articles published between 1955 and 2006. The arrangement is by topic, with each major category introduced by an expert's comment. Many of the hundred selected papers deal with arithmetical and algebraic properties of polynomials in one or several variables, but there are also articles on Euler's totient function, the favorite subject of Schinzel's early research, on prime numbers (including the famous paper with Sierpinski on the Hypothesis H), algebraic number theory, diophantine equations, analytical number theory and geometry of numbers. Selecta concludes with some papers from outside number theory, as well as a list of unsolved problems and unproved conjectures, taken from the work of Schinzel.
Author: Martin Davis
Publisher:
ISBN:
Category : Algebra
Languages : en
Pages : 34
Get Book Here
Book Description
IT IS PROVED THAT EVERY R CURSIVELY ENUMERABLE SET IS Diophantine over a given polynomial ring. (Author).
Author: Andrzej Schinzel
Publisher:
ISBN:
Category :
Languages : en
Pages :
Get Book Here
Book Description
Author: Évariste Galois
Publisher: European Mathematical Society
ISBN: 9783037191040
Category : Galois theory
Languages : en
Pages : 426
Get Book Here
Book Description
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.
Author: Nikolaĭ Ivanovich Lobachevskiĭ
Publisher: European Mathematical Society
ISBN: 9783037190876
Category : Geometry, Non-Euclidean
Languages : en
Pages : 332
Get Book Here
Book Description
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.
Author: Jacqueline A. Stedall
Publisher: European Mathematical Society
ISBN: 9783037190920
Category : Algebra
Languages : en
Pages : 244
Get Book Here
Book Description
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.
Author: Paul David Lee
Publisher:
ISBN:
Category :
Languages : en
Pages :
Get Book Here
Book Description
Author: Andrzej Schinzel
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 276
Get Book Here
Book Description
