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Author: Alan Baker
Publisher: Cambridge University Press
Published: 2022-06-09
Total Pages: 185
ISBN-13: 100922994X
DOWNLOAD EBOOKAlan Baker's systematic account of transcendental number theory, with a new introduction and afterword explaining recent developments.
Author: M. Ram Murty
Publisher: Springer
Published: 2014-06-24
Total Pages: 219
ISBN-13: 1493908324
DOWNLOAD EBOOKThis 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: Saradha Natarajan
Publisher: Springer Nature
Published: 2020-05-02
Total Pages: 184
ISBN-13: 9811541558
DOWNLOAD EBOOKThis 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: David Angell
Publisher: CRC Press
Published: 2021-12-30
Total Pages: 243
ISBN-13: 100052373X
DOWNLOAD EBOOKFeatures 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: Edward B. Burger
Publisher: Springer Science & Business Media
Published: 2013-04-17
Total Pages: 266
ISBN-13: 1475741146
DOWNLOAD EBOOKThis is the first book that makes the difficult and important subject of transcendental number theory accessible to undergraduate mathematics students. Edward Burger is one of the authors of The Heart of Mathematics, winner of a 2001 Robert W. Hamilton Book Award. He will also be awarded the 2004 Chauvenet Prize, one of the most prestigious MAA prizes for outstanding exposition.
Author: A.N. Parshin
Publisher: Springer Science & Business Media
Published: 2013-03-09
Total Pages: 351
ISBN-13: 3662036444
DOWNLOAD EBOOKThis book is a survey of the most important directions of research in transcendental number theory. For readers with no specific background in transcendental number theory, the book provides both an overview of the basic concepts and techniques and also a guide to the most important results and references.
Author: Michel Waldschmidt
Publisher: Springer Science & Business Media
Published: 2013-03-14
Total Pages: 649
ISBN-13: 3662115697
DOWNLOAD EBOOKThe theory of transcendental numbers is closely related to the study of diophantine approximation. This book deals with values of the usual exponential function ez: a central open problem is the conjecture on algebraic independence of logarithms of algebraic numbers. Two chapters provide complete and simplified proofs of zero estimates (due to Philippon) on linear algebraic groups.
Author: Gregory Chudnovsky
Publisher: American Mathematical Soc.
Published: 1984
Total Pages: 464
ISBN-13: 0821815008
DOWNLOAD EBOOKContains a collection of papers devoted primarily to transcendental number theory and diophantine approximations. This title includes a text of the author's invited address on his work on the theory of transcendental numbers to the 1978 International Congress of Mathematicians in Helsinki.
Author: Carl Ludwig Siegel
Publisher: Princeton University Press
Published: 2016-03-02
Total Pages: 102
ISBN-13: 1400882354
DOWNLOAD EBOOKThe description for this book, Transcendental Numbers. (AM-16), will be forthcoming.
Author: Andrei B. Shidlovskii
Publisher: Walter de Gruyter
Published: 2011-06-01
Total Pages: 489
ISBN-13: 3110889056
DOWNLOAD EBOOKThe 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.
