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Author : Kurt Mahler
Publisher :
ISBN 13 :
Total Pages : 200 pages
Book Rating : 4.X/5 (1 download)
Download or read book Lectures on Diophantine Approximations written by Kurt Mahler and published by . This book was released on 1961 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : David Masser
Publisher : Springer
ISBN 13 : 3540449795
Total Pages : 359 pages
Book Rating : 4.5/5 (44 download)
Download or read book Diophantine Approximation written by David Masser and published by Springer. This book was released on 2008-02-01 with total page 359 pages. Available in PDF, EPUB and Kindle. Book excerpt: Diophantine Approximation is a branch of Number Theory having its origins intheproblemofproducing“best”rationalapproximationstogivenrealn- bers. Since the early work of Lagrange on Pell’s equation and the pioneering work of Thue on the rational approximations to algebraic numbers of degree ? 3, it has been clear how, in addition to its own speci?c importance and - terest, the theory can have fundamental applications to classical diophantine problems in Number Theory. During the whole 20th century, until very recent times, this fruitful interplay went much further, also involving Transcend- tal Number Theory and leading to the solution of several central conjectures on diophantine equations and class number, and to other important achie- ments. These developments naturally raised further intensive research, so at the moment the subject is a most lively one. This motivated our proposal for a C. I. M. E. session, with the aim to make it available to a public wider than specialists an overview of the subject, with special emphasis on modern advances and techniques. Our project was kindly supported by the C. I. M. E. Committee and met with the interest of a largenumberofapplicants;forty-twoparticipantsfromseveralcountries,both graduatestudentsandseniormathematicians,intensivelyfollowedcoursesand seminars in a friendly and co-operative atmosphere. The main part of the session was arranged in four six-hours courses by Professors D. Masser (Basel), H. P. Schlickewei (Marburg), W. M. Schmidt (Boulder) and M. Waldschmidt (Paris VI). This volume contains expanded notes by the authors of the four courses, together with a paper by Professor Yu. V.
Author : Bas Edixhoven
Publisher : Springer
ISBN 13 : 3540482083
Total Pages : 136 pages
Book Rating : 4.5/5 (44 download)
Download or read book Diophantine Approximation and Abelian Varieties written by Bas Edixhoven and published by Springer. This book was released on 2009-02-05 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt: The 13 chapters of this book centre around the proof of Theorem 1 of Faltings' paper "Diophantine approximation on abelian varieties", Ann. Math.133 (1991) and together give an approach to the proof that is accessible to Ph.D-level students in number theory and algebraic geometry. Each chapter is based on an instructional lecture given by its author ata special conference for graduate students, on the topic of Faltings' paper.
Author : Kurt Mahler
Publisher :
ISBN 13 :
Total Pages : 188 pages
Book Rating : 4.:/5 (489 download)
Download or read book Lectures on Diophantine Approximations. Part 1 written by Kurt Mahler and published by . This book was released on 1961 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : W.M. Schmidt
Publisher : Springer
ISBN 13 : 3540386459
Total Pages : 312 pages
Book Rating : 4.5/5 (43 download)
Download or read book Diophantine Approximation written by W.M. Schmidt and published by Springer. This book was released on 2009-02-05 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: "In 1970, at the U. of Colorado, the author delivered a course of lectures on his famous generalization, then just established, relating to Roth's theorem on rational approxi- mations to algebraic numbers. The present volume is an ex- panded and up-dated version of the original mimeographed notes on the course. As an introduction to the author's own remarkable achievements relating to the Thue-Siegel-Roth theory, the text can hardly be bettered and the tract can already be regarded as a classic in its field."(Bull.LMS) "Schmidt's work on approximations by algebraic numbers belongs to the deepest and most satisfactory parts of number theory. These notes give the best accessible way to learn the subject. ... this book is highly recommended." (Mededelingen van het Wiskundig Genootschap)
Author : Wolfgang M. Schmidt
Publisher :
ISBN 13 :
Total Pages : 342 pages
Book Rating : 4.:/5 (354 download)
Download or read book Diophantine Approximation written by Wolfgang M. Schmidt and published by . This book was released on 1970 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Umberto Zannier
Publisher : Springer
ISBN 13 : 8876425179
Total Pages : 239 pages
Book Rating : 4.8/5 (764 download)
Download or read book Lecture Notes on Diophantine Analysis written by Umberto Zannier and published by Springer. This book was released on 2015-05-05 with total page 239 pages. Available in PDF, EPUB and Kindle. Book excerpt: These lecture notes originate from a course delivered at the Scuola Normale in Pisa in 2006. Generally speaking, the prerequisites do not go beyond basic mathematical material and are accessible to many undergraduates. The contents mainly concern diophantine problems on affine curves, in practice describing the integer solutions of equations in two variables. This case historically suggested some major ideas for more general problems. Starting with linear and quadratic equations, the important connections with Diophantine Approximation are presented and Thue's celebrated results are proved in full detail. In later chapters more modern issues on heights of algebraic points are dealt with, and applied to a sharp quantitative treatment of the unit equation. The book also contains several supplements, hinted exercises and an appendix on recent work on heights.
Author : Wolfgang M. Schmidt
Publisher :
ISBN 13 :
Total Pages : 354 pages
Book Rating : 4.3/5 (91 download)
Download or read book Diophantine Approximation written by Wolfgang M. Schmidt and published by . This book was released on 1970 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Ivan Niven
Publisher : Courier Corporation
ISBN 13 : 0486164705
Total Pages : 80 pages
Book Rating : 4.4/5 (861 download)
Download or read book Diophantine Approximations written by Ivan Niven and published by Courier Corporation. This book was released on 2013-01-23 with total page 80 pages. Available in PDF, EPUB and Kindle. Book excerpt: This self-contained treatment covers approximation of irrationals by rationals, product of linear forms, multiples of an irrational number, approximation of complex numbers, and product of complex linear forms. 1963 edition.
Author : Robert F. Tichy
Publisher : Springer Science & Business Media
ISBN 13 : 3211742808
Total Pages : 416 pages
Book Rating : 4.2/5 (117 download)
Download or read book Diophantine Approximation written by Robert F. Tichy and published by Springer Science & Business Media. This book was released on 2008-07-10 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains 21 research and survey papers on recent developments in the field of diophantine approximation, which are based on lectures given at a conference at the Erwin Schrödinger-Institute (Vienna, 2003). The articles are either in the spirit of more classical diophantine analysis or of a geometric or combinatorial flavor. Several articles deal with estimates for the number of solutions of diophantine equations as well as with congruences and polynomials.
Author : Kurt Mahler
Publisher :
ISBN 13 :
Total Pages : 212 pages
Book Rating : 4.3/5 (97 download)
Download or read book Lectures on Diophantine Approximations written by Kurt Mahler and published by . This book was released on 1961 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Charles F. Osgood
Publisher :
ISBN 13 :
Total Pages : 374 pages
Book Rating : 4.3/5 (91 download)
Download or read book Diophantine Approximation and Its Applications written by Charles F. Osgood and published by . This book was released on 1973 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume represents the proceedings of a Conference on Diophantine Approximation and Its Applications held in Washington, D.C., June 6-8, 1972, and sponsored by the Mathematics Research Center of the Naval Research Laboratory. The purpose of this meeting was to stimulate research in the area of Diophantine approximation by bringing together many of the leading researchers in this field so that they could exchange information and ideas. Fourteen formal lectures were presented at the conference, and these are the papers contained in this volume.
Author : Wolfgang M. Schmidt
Publisher : Springer
ISBN 13 : 3540473742
Total Pages : 224 pages
Book Rating : 4.5/5 (44 download)
Download or read book Diophantine Approximations and Diophantine Equations written by Wolfgang M. Schmidt and published by Springer. This book was released on 2006-12-08 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This book by a leading researcher and masterly expositor of the subject studies diophantine approximations to algebraic numbers and their applications to diophantine equations. The methods are classical, and the results stressed can be obtained without much background in algebraic geometry. In particular, Thue equations, norm form equations and S-unit equations, with emphasis on recent explicit bounds on the number of solutions, are included. The book will be useful for graduate students and researchers." (L'Enseignement Mathematique) "The rich Bibliography includes more than hundred references. The book is easy to read, it may be a useful piece of reading not only for experts but for students as well." Acta Scientiarum Mathematicarum
Author : Kurt Mahler
Publisher :
ISBN 13 :
Total Pages : 204 pages
Book Rating : 4.:/5 (327 download)
Download or read book Lectures on Diophantine Approximations: g-adic numbers and Roth's theorem; prepared from the notes by R. P.Bambah of my lectures given at the University of Notre Dame in the fall of 1957 written by Kurt Mahler and published by . This book was released on 1961 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Robert F. Tichy
Publisher : Springer
ISBN 13 : 9783211101698
Total Pages : 422 pages
Book Rating : 4.1/5 (16 download)
Download or read book Diophantine Approximation written by Robert F. Tichy and published by Springer. This book was released on 2009-08-29 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains 21 research and survey papers on recent developments in the field of diophantine approximation, which are based on lectures given at a conference at the Erwin Schrödinger-Institute (Vienna, 2003). The articles are either in the spirit of more classical diophantine analysis or of a geometric or combinatorial flavor. Several articles deal with estimates for the number of solutions of diophantine equations as well as with congruences and polynomials.
Author : W. M. Schmidt
Publisher :
ISBN 13 : 9783662188873
Total Pages : 312 pages
Book Rating : 4.1/5 (888 download)
Download or read book Diophantine Approximation written by W. M. Schmidt and published by . This book was released on 2014-01-15 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Wolfgang M. Schmidt
Publisher : Springer Science & Business Media
ISBN 13 : 3540403922
Total Pages : 359 pages
Book Rating : 4.5/5 (44 download)
Download or read book Diophantine Approximation written by Wolfgang M. Schmidt and published by Springer Science & Business Media. This book was released on 1970 with total page 359 pages. Available in PDF, EPUB and Kindle. Book excerpt:
