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Author : K. Mahler
Publisher : Springer
ISBN 13 : 3540379819
Total Pages : 274 pages
Book Rating : 4.5/5 (43 download)
Download or read book Lectures on Transcendental Numbers written by K. Mahler and published by Springer. This book was released on 2006-11-14 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 : 9780387079868
Total Pages : 254 pages
Book Rating : 4.0/5 (798 download)
Download or read book Lecture Notes in Mathematics written by and published by . This book was released on 1964 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Dr. K. Ramachandra
Publisher : Madras : Ramanujan Institute, University of Madras
ISBN 13 :
Total Pages : 146 pages
Book Rating : 4.:/5 (752 download)
Download or read book Lectures on Transcendental Numbers written by Dr. K. Ramachandra and published by Madras : Ramanujan Institute, University of Madras. This book was released on 1969 with total page 146 pages. Available in PDF, EPUB and Kindle. Book excerpt: Higher mathametics.
Author : Kurt Mahler
Publisher :
ISBN 13 :
Total Pages : 282 pages
Book Rating : 4.:/5 (826 download)
Download or read book Lectures on Transcendental Numbers, University of Colorado, Summer, 1965 written by Kurt Mahler and published by . This book was released on 1965* with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Andrei B. Shidlovskii
Publisher : Walter de Gruyter
ISBN 13 : 3110889056
Total Pages : 489 pages
Book Rating : 4.1/5 (18 download)
Download or read book Transcendental Numbers written by Andrei B. Shidlovskii and published by Walter de Gruyter. This book was released on 2011-06-01 with total page 489 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : M. Ram Murty
Publisher : Springer
ISBN 13 : 1493908324
Total Pages : 219 pages
Book Rating : 4.4/5 (939 download)
Download or read book Transcendental Numbers written by M. Ram Murty and published by Springer. This book was released on 2014-06-24 with total page 219 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an introduction to the topic of transcendental numbers for upper-level undergraduate and graduate students. The text is constructed to support a full course on the subject, including descriptions of both relevant theorems and their applications. While the first part of the book focuses on introducing key concepts, the second part presents more complex material, including applications of Baker’s theorem, Schanuel’s conjecture, and Schneider’s theorem. These later chapters may be of interest to researchers interested in examining the relationship between transcendence and L-functions. Readers of this text should possess basic knowledge of complex analysis and elementary algebraic number theory.
Author : Kurt Mahler
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (844 download)
Download or read book Lectures on transcendental numbers given at the University of Colorado, Summer 1965 written by Kurt Mahler and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : E. T. Hecke
Publisher : Springer Science & Business Media
ISBN 13 : 1475740921
Total Pages : 251 pages
Book Rating : 4.4/5 (757 download)
Download or read book Lectures on the Theory of Algebraic Numbers written by E. T. Hecke and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 251 pages. Available in PDF, EPUB and Kindle. Book excerpt: . . . if one wants to make progress in mathematics one should study the masters not the pupils. N. H. Abel Heeke was certainly one of the masters, and in fact, the study of Heeke L series and Heeke operators has permanently embedded his name in the fabric of number theory. It is a rare occurrence when a master writes a basic book, and Heeke's Lectures on the Theory of Algebraic Numbers has become a classic. To quote another master, Andre Weil: "To improve upon Heeke, in a treatment along classical lines of the theory of algebraic numbers, would be a futile and impossible task. " We have tried to remain as close as possible to the original text in pre serving Heeke's rich, informal style of exposition. In a very few instances we have substituted modern terminology for Heeke's, e. g. , "torsion free group" for "pure group. " One problem for a student is the lack of exercises in the book. However, given the large number of texts available in algebraic number theory, this is not a serious drawback. In particular we recommend Number Fields by D. A. Marcus (Springer-Verlag) as a particularly rich source. We would like to thank James M. Vaughn Jr. and the Vaughn Foundation Fund for their encouragement and generous support of Jay R. Goldman without which this translation would never have appeared. Minneapolis George U. Brauer July 1981 Jay R.
Author : Paulo Ribenboim
Publisher : Springer Science & Business Media
ISBN 13 : 0387227547
Total Pages : 384 pages
Book Rating : 4.3/5 (872 download)
Download or read book My Numbers, My Friends written by Paulo Ribenboim and published by Springer Science & Business Media. This book was released on 2006-05-10 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Alan Baker
Publisher : Cambridge University Press
ISBN 13 : 100922994X
Total Pages : 185 pages
Book Rating : 4.0/5 (92 download)
Download or read book Transcendental Number Theory written by Alan Baker and published by Cambridge University Press. This book was released on 2022-06-09 with total page 185 pages. Available in PDF, EPUB and Kindle. Book excerpt: Alan Baker's systematic account of transcendental number theory, with a new introduction and afterword explaining recent developments.
Author : Carl Ludwig Siegel
Publisher : Princeton University Press
ISBN 13 : 1400882354
Total Pages : 102 pages
Book Rating : 4.4/5 (8 download)
Download or read book Transcendental Numbers. (AM-16) written by Carl Ludwig Siegel and published by Princeton University Press. This book was released on 2016-03-02 with total page 102 pages. Available in PDF, EPUB and Kindle. Book excerpt: The description for this book, Transcendental Numbers. (AM-16), will be forthcoming.
Author : David Angell
Publisher : CRC Press
ISBN 13 : 100052373X
Total Pages : 243 pages
Book Rating : 4.0/5 (5 download)
Download or read book Irrationality and Transcendence in Number Theory written by David Angell and published by CRC Press. This book was released on 2021-12-30 with total page 243 pages. Available in PDF, EPUB and Kindle. Book excerpt: Features Uses techniques from widely diverse areas of mathematics, including number theory, calculus, set theory, complex analysis, linear algebra, and the theory of computation. Suitable as a primary textbook for advanced undergraduate courses in number theory, or as supplementary reading for interested postgraduates. Each chapter concludes with an appendix setting out the basic facts needed from each topic, so that the book is accessible to readers without any specific specialist background.
Author : Aleksandr Osipovich Gelʹfond
Publisher :
ISBN 13 :
Total Pages : 228 pages
Book Rating : 4.3/5 (91 download)
Download or read book Transcendental and Algebraic Numbers written by Aleksandr Osipovich Gelʹfond and published by . This book was released on 1960 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Serge Lang
Publisher :
ISBN 13 :
Total Pages : 120 pages
Book Rating : 4.F/5 ( download)
Download or read book Introduction to Transcendental Numbers written by Serge Lang and published by . This book was released on 1966 with total page 120 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Saradha Natarajan
Publisher : Springer Nature
ISBN 13 : 9811541558
Total Pages : 184 pages
Book Rating : 4.8/5 (115 download)
Download or read book Pillars of Transcendental Number Theory written by Saradha Natarajan and published by Springer Nature. This book was released on 2020-05-02 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Yuri V. Nesterenko
Publisher : Springer
ISBN 13 : 3540445501
Total Pages : 257 pages
Book Rating : 4.5/5 (44 download)
Download or read book Introduction to Algebraic Independence Theory written by Yuri V. Nesterenko and published by Springer. This book was released on 2003-07-01 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the last five years there has been very significant progress in the development of transcendence theory. A new approach to the arithmetic properties of values of modular forms and theta-functions was found. The solution of the Mahler-Manin problem on values of modular function j(tau) and algebraic independence of numbers pi and e^(pi) are most impressive results of this breakthrough. The book presents these and other results on algebraic independence of numbers and further, a detailed exposition of methods created in last the 25 years, during which commutative algebra and algebraic geometry exerted strong catalytic influence on the development of the subject.
Author : Carl Ludwig Siegel
Publisher : Springer Science & Business Media
ISBN 13 : 9783540506294
Total Pages : 182 pages
Book Rating : 4.5/5 (62 download)
Download or read book Lectures on the Geometry of Numbers written by Carl Ludwig Siegel and published by Springer Science & Business Media. This book was released on 1989-11-16 with total page 182 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
