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Lectures On Transcendental Numbers

Author : K. Mahler
ISBN : 9783540379812
Genre : Mathematics
File Size : 41. 43 MB
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Lectures On Transcendental Numbers

Author : K. Mahler
ISBN : 3540079866
Genre : Mathematics
File Size : 58. 21 MB
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Lecture Notes In Mathematics

Author :
ISBN : 0387079866
Genre : Mathematics
File Size : 87. 84 MB
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Lectures On Transcendental Numbers University Of Colorado Summer 1965

Author : Kurt Mahler
ISBN : OCLC:8262933
Genre : Transcendental numbers
File Size : 35. 78 MB
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Lectures On Transcendental Numbers

Author : Dr. K. Ramachandra
ISBN : LCCN:75281022
Genre : Nombres transcendants
File Size : 30. 31 MB
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Higher mathametics.

Lectures On Transcendental Numbers Given At The University Of Colorado Summer 1965

Author : Kurt Mahler
ISBN : OCLC:844328307
Genre : Transcendental numbers
File Size : 36. 9 MB
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My Numbers My Friends

Author : Paulo Ribenboim
ISBN : 9780387227542
Genre : Mathematics
File Size : 57. 59 MB
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This selection of expository essays by Paulo Ribenboim should be of interest to mathematicians from all walks. Ribenboim, a highly praised author of several popular titles, writes each essay in a light and humorous language without secrets, making them thoroughly accessible to everyone with an interest in numbers. This new collection includes essays on Fibonacci numbers, prime numbers, Bernoulli numbers, and historical presentations of the main problems pertaining to elementary number theory, such as Kummers work on Fermat's last theorem.

Transcendental Number Theory

Author : Alan Baker
ISBN : 052139791X
Genre : Mathematics
File Size : 84. 37 MB
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First published in 1975, this classic book gives a systematic account of transcendental number theory, that is those numbers which cannot be expressed as the roots of algebraic equations having rational coefficients. Their study has developed into a fertile and extensive theory enriching many branches of pure mathematics. Expositions are presented of theories relating to linear forms in the logarithms of algebraic numbers, of Schmidt's generalisation of the Thue-Siegel-Roth theorem, of Shidlovsky's work on Siegel's |E|-functions and of Sprindzuk's solution to the Mahler conjecture. The volume was revised in 1979: however Professor Baker has taken this further opportunity to update the book including new advances in the theory and many new references.

Transcendental Numbers

Author : Andrei B. Shidlovskii
ISBN : 9783110889055
Genre : Mathematics
File Size : 80. 88 MB
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The series is devoted to the publication of monographs and high-level textbooks in mathematics, mathematical methods and their applications. Apart from covering important areas of current interest, a major aim is to make topics of an interdisciplinary nature accessible to the non-specialist. The works in this series are addressed to advanced students and researchers in mathematics and theoretical physics. In addition, it can serve as a guide for lectures and seminars on a graduate level. The series de Gruyter Studies in Mathematics was founded ca. 30 years ago by the late Professor Heinz Bauer and Professor Peter Gabriel with the aim to establish a series of monographs and textbooks of high standard, written by scholars with an international reputation presenting current fields of research in pure and applied mathematics. While the editorial board of the Studies has changed with the years, the aspirations of the Studies are unchanged. In times of rapid growth of mathematical knowledge carefully written monographs and textbooks written by experts are needed more than ever, not least to pave the way for the next generation of mathematicians. In this sense the editorial board and the publisher of the Studies are devoted to continue the Studies as a service to the mathematical community. Please submit any book proposals to Niels Jacob.

Pillars Of Transcendental Number Theory

Author : Saradha Natarajan
ISBN : 9789811541551
Genre : Mathematics
File Size : 84. 9 MB
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This book deals with the development of Diophantine problems starting with Thue's path breaking result and culminating in Roth's theorem with applications. It discusses classical results including Hermite–Lindemann–Weierstrass theorem, Gelfond–Schneider theorem, Schmidt’s subspace theorem and more. It also includes two theorems of Ramachandra which are not widely known and other interesting results derived on the values of Weierstrass elliptic function. Given the constantly growing number of applications of linear forms in logarithms, it is becoming increasingly important for any student wanting to work in this area to know the proofs of Baker’s original results. This book presents Baker’s original results in a format suitable for graduate students, with a focus on presenting the content in an accessible and simple manner. Each student-friendly chapter concludes with selected problems in the form of “Exercises” and interesting information presented as “Notes,” intended to spark readers’ curiosity.

Crc Concise Encyclopedia Of Mathematics

Author : Eric W. Weisstein
ISBN : 9781420035223
Genre : Mathematics
File Size : 20. 74 MB
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Upon publication, the first edition of the CRC Concise Encyclopedia of Mathematics received overwhelming accolades for its unparalleled scope, readability, and utility. It soon took its place among the top selling books in the history of Chapman & Hall/CRC, and its popularity continues unabated. Yet also unabated has been the d

Selected Papers On Number Theory And Algebraic Geometry

Author : Katsumi Nomizu
ISBN : 0821804456
Genre : Mathematics
File Size : 24. 6 MB
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This book presents papers that originally appeared in the Japanese journal Sugaku from the Mathematical Society of Japan. The papers explore the relationship between number theory and algebraic geometry.

Contributions To The Theory Of Transcendental Numbers

Author : Gregory Chudnovsky
ISBN : 9780821815007
Genre : Mathematics
File Size : 89. 10 MB
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This volume consists of a collection of papers devoted primarily to transcendental number theory and diophantine approximations written by the author. Most of the materials included in this volume are English translations of the author's Russian manuscripts, extensively rewritten and brought entirely up to date. These papers and other papers included in this volume were available to specialists in manuscript form, but this is the first time that they have been collected and published.Though the earlier papers have been preserved in the form in which they were prepared initially, the volume is organized in such a way as to reflect recent progress and to allow readers to follow recent developments in the field. As an introductory guide to the volume, the author included an expanded and updated text of his invited address on his work on the theory of transcendental numbers to the 1978 International Congress of Mathematicians in Helsinki. The appendix contains a paper on the extremality of certain multidimensional manifolds prepared by A. I. Vinogradov and the author in 1976. Chudnovsky received a MacArthur Foundation Fellowship in 1981.

Lectures On The Philosophy Of Mathematics

Author : Joel David Hamkins
ISBN : 9780262542234
Genre : Mathematics
File Size : 34. 22 MB
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An introduction to the philosophy of mathematics grounded in mathematics and motivated by mathematical inquiry and practice. In this book, Joel David Hamkins offers an introduction to the philosophy of mathematics that is grounded in mathematics and motivated by mathematical inquiry and practice. He treats philosophical issues as they arise organically in mathematics, discussing such topics as platonism, realism, logicism, structuralism, formalism, infinity, and intuitionism in mathematical contexts. He organizes the book by mathematical themes--numbers, rigor, geometry, proof, computability, incompleteness, and set theory--that give rise again and again to philosophical considerations.

Proceedings Of The International Conference On Number Theory Moscow September 14 18 1971

Author : Ivan Matveevich Vinogradov
ISBN : 0821830325
Genre : Mathematics
File Size : 22. 5 MB
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Papers and articles about number theory.

Lectures On The Geometry Of Numbers

Author : Carl Ludwig Siegel
ISBN : 9783662082874
Genre : Mathematics
File Size : 66. 96 MB
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Carl Ludwig Siegel gave a course of lectures on the Geometry of Numbers at New York University during the academic year 1945-46, when there were hardly any books on the subject other than Minkowski's original one. This volume stems from Siegel's requirements of accuracy in detail, both in the text and in the illustrations, but involving no changes in the structure and style of the lectures as originally delivered. This book is an enticing introduction to Minkowski's great work. It also reveals the workings of a remarkable mind, such as Siegel's with its precision and power and aesthetic charm. It is of interest to the aspiring as well as the established mathematician, with its unique blend of arithmetic, algebra, geometry, and analysis, and its easy readability.

David Hilbert S Lectures On The Foundations Of Geometry 1891 1902

Author : Michael Hallett
ISBN : 3540643737
Genre : Mathematics
File Size : 33. 22 MB
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This volume contains six sets of notes for lectures on the foundations of geometry held by Hilbert in the period 1891-1902. It also reprints the first edition of Hilbert’s celebrated Grundlagen der Geometrie of 1899, together with the important additions which appeared first in the French translation of 1900. The lectures document the emergence of a new approach to foundational study and contain many reflections and investigations which never found their way into print.

Transcendental Methods In Algebraic Geometry

Author : Jean-Pierre Demailly
ISBN : 9783540496328
Genre : Mathematics
File Size : 45. 9 MB
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Mahler Functions And Transcendence

Author : Kumiko Nishioka
ISBN : 9783540685982
Genre : Mathematics
File Size : 38. 19 MB
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This book is the first comprehensive treatise of the transcendence theory of Mahler functions and their values. Recently the theory has seen profound development and has found a diversity of applications. The book assumes a background in elementary field theory, p-adic field, algebraic function field of one variable and rudiments of ring theory. The book is intended for both graduate students and researchers who are interested in transcendence theory. It will lay the foundations of the theory of Mahler functions and provide a source of further research.

Using The Mathematics Literature

Author : Kristine K. Fowler
ISBN : 0824750357
Genre : Language Arts & Disciplines
File Size : 30. 27 MB
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This reference serves as a reader-friendly guide to every basic tool and skill required in the mathematical library and helps mathematicians find resources in any format in the mathematics literature. It lists a wide range of standard texts, journals, review articles, newsgroups, and Internet and database tools for every major subfield in mathematics and details methods of access to primary literature sources of new research, applications, results, and techniques. Using the Mathematics Literature is the most comprehensive and up-to-date resource on mathematics literature in both print and electronic formats, presenting time-saving strategies for retrieval of the latest information.

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