From Dedekind To G Del

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Actas Del Congreso Internacional De Teor A De Anillos Almer A 1993

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Author : M. J. Asensio
language : en
Publisher: Universidad Almería
Release Date : 1995

Actas Del Congreso Internacional De Teor A De Anillos Almer A 1993 written by M. J. Asensio and has been published by Universidad Almería this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Mathematics categories.

Torsors Tale Homotopy And Applications To Rational Points

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Author : Alexei N. Skorobogatov
language : en
Publisher: Cambridge University Press
Release Date : 2013-04-18

Torsors Tale Homotopy And Applications To Rational Points written by Alexei N. Skorobogatov 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 2013-04-18 with Mathematics categories.

Torsors, also known as principal bundles or principal homogeneous spaces, are ubiquitous in mathematics. The purpose of this book is to present expository lecture notes and cutting-edge research papers on the theory and applications of torsors and étale homotopy, all written from different perspectives by leading experts. Part one of the book contains lecture notes on recent uses of torsors in geometric invariant theory and representation theory, plus an introduction to the étale homotopy theory of Artin and Mazur. Part two of the book features a milestone paper on the étale homotopy approach to the arithmetic of rational points. Furthermore, the reader will find a collection of research articles on algebraic groups and homogeneous spaces, rational and K3 surfaces, geometric invariant theory, rational points, descent and the Brauer–Manin obstruction. Together, these give a state-of-the-art view of a broad area at the crossroads of number theory and algebraic geometry.

Essays On Husserl S Logic And Philosophy Of Mathematics

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Author : Stefania Centrone
language : en
Publisher: Springer
Release Date : 2017-09-07

Essays On Husserl S Logic And Philosophy Of Mathematics written by Stefania Centrone and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-09-07 with Philosophy categories.

Essays on Husserl’s Logic and Philosophy of Mathematics sets out to fill up a lacuna in the present research on Husserl by presenting a precise account of Husserl’s work in the field of logic, of the philosophy of logic and of the philosophy of mathematics. The aim is to provide an in-depth reconstruction and analysis of the discussion between Husserl and his most important interlocutors, and to clarify pivotal ideas of Husserl’s by considering their reception and elaboration by some of his disciples and followers, such as Oskar Becker and Jacob Klein, as well as their influence on some of the most significant logicians and mathematicians of the past century, such as Luitzen E. J. Brouwer, Rudolf Carnap, Kurt Gödel and Hermann Weyl. Most of the papers consider Husserl and another scholar – e.g. Leibniz, Kant, Bolzano, Brentano, Cantor, Frege – and trace out and contextualize lines of influence, points of contact, and points of disagreement. Each essay is written by an expert of the field, and the volume includes contributions both from the analytical tradition and from the phenomenological one.

Giuseppe Peano Between Mathematics And Logic

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Author : Fulvia Skof
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-04-30

Giuseppe Peano Between Mathematics And Logic written by Fulvia Skof 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 2011-04-30 with Mathematics categories.

This book contains the papers developing out the presentations given at the International Conference organized by the Torino Academy of Sciences and the Department of Mathematics Giuseppe Peano of the Torino University to celebrate the 150th anniversary of G. Peano's birth - one of the greatest figures in modern mathematics and logic and the most important mathematical logician in Italy - a century after the publication of Formulario Mathematico, a great attempt to systematise Mathematics in symbolic form.

Chronology Of The Expanding World 1492 To 1762

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Author : Neville Williams
language : en
Publisher:
Release Date : 1994

Chronology Of The Expanding World 1492 To 1762 written by Neville Williams and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with History categories.

Lectures On Algebra Volume 1

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Author : Shreeram Shankar Abhyankar
language : en
Publisher: World Scientific
Release Date : 2006-07-31

Lectures On Algebra Volume 1 written by Shreeram Shankar Abhyankar and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-07-31 with Mathematics categories.

This book is a timely survey of much of the algebra developed during the last several centuries including its applications to algebraic geometry and its potential use in geometric modeling.The present volume makes an ideal textbook for an abstract algebra course, while the forthcoming sequel, Lectures on Algebra II, will serve as a textbook for a linear algebra course. The author's fondness for algebraic geometry shows up in both volumes, and his recent preoccupation with the applications of group theory to the calculation of Galois groups is evident in the second volume which contains more local rings and more algebraic geometry. Both books are based on the author's lectures at Purdue University over the last few years.

Chronology Of The Expanding World 1492 1762

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Author : Neville Williams
language : en
Publisher:
Release Date : 1969

Chronology Of The Expanding World 1492 1762 written by Neville Williams and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1969 with Chronology, Historical categories.

Rendiconti Del Seminario Matematico Della Universit Di Padova

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Author : Università di Padova. Seminario matematico
language : en
Publisher:
Release Date : 1996

Rendiconti Del Seminario Matematico Della Universit Di Padova written by Università di Padova. Seminario matematico and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with Mathematics categories.

In Foreign Lands The Migration Of Scientists For Political Or Economic Reasons

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Author : Maria Teresa Borgato
language : en
Publisher: Springer Nature
Release Date : 2022-04-13

In Foreign Lands The Migration Of Scientists For Political Or Economic Reasons written by Maria Teresa Borgato and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-04-13 with Mathematics categories.

This proceedings volume collects the stories of mathematicians and scientists who have spent and developed parts of their careers and life in countries other than those of their origin. The reasons may have been different in different periods but were often driven by political or economic circumstances: The lack of suitable employment opportunities in their home countries, adverse political systems, and wars have led to the emigration of scientists. The volume shows that these movements have played an important role in spreading scientific knowledge and have often changed the scientific landscape, tradition and future of studies and research fields. The book analyses in particular: aspects of Euler’s, Lagrange’s and Boscovich’s scientific biographies, migrations of scientists from France, Spain and Greece to Russia in the eighteenth and nineteenth centuries, and from Russia to France in the twentieth century, exiles from Italy before the Italian Risorgimento, migrations inside Europe and the escape of mathematicians from Nazi-fascist Europe, between the two World Wars, as well as the mobility of experts around the world. It includes selected contributions from the symposium In Foreign Lands: The Migration of Scientists for Political or Economic Reasons held at the Conference of the International Academy of the History of Science in Athens (September 2019).

Elementary And Analytic Theory Of Algebraic Numbers

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Author : Wladyslaw Narkiewicz
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29

Elementary And Analytic Theory Of Algebraic Numbers written by Wladyslaw Narkiewicz 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.

The aim of this book is to present an exposition of the theory of alge braic numbers, excluding class-field theory and its consequences. There are many ways to develop this subject; the latest trend is to neglect the classical Dedekind theory of ideals in favour of local methods. However, for numeri cal computations, necessary for applications of algebraic numbers to other areas of number theory, the old approach seems more suitable, although its exposition is obviously longer. On the other hand the local approach is more powerful for analytical purposes, as demonstrated in Tate's thesis. Thus the author has tried to reconcile the two approaches, presenting a self-contained exposition of the classical standpoint in the first four chapters, and then turning to local methods. In the first chapter we present the necessary tools from the theory of Dedekind domains and valuation theory, including the structure of finitely generated modules over Dedekind domains. In Chapters 2, 3 and 4 the clas sical theory of algebraic numbers is developed. Chapter 5 contains the fun damental notions of the theory of p-adic fields, and Chapter 6 brings their applications to the study of algebraic number fields. We include here Shafare vich's proof of the Kronecker-Weber theorem, and also the main properties of adeles and ideles.