Transcendental Numbers PDF Download
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| Author | : M. Ram Murty |
| Publisher | : Springer |
| Total Pages | : 219 |
| Release | : 2014-06-24 |
| Genre | : Mathematics |
| ISBN | : 1493908324 |
Download Transcendental Numbers Book in PDF, ePub and Kindle
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 | : Alan Baker |
| Publisher | : Cambridge University Press |
| Total Pages | : 185 |
| Release | : 2022-06-09 |
| Genre | : Computers |
| ISBN | : 100922994X |
Download Transcendental Number Theory Book in PDF, ePub and Kindle
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 |
| Total Pages | : 102 |
| Release | : 2016-03-02 |
| Genre | : Mathematics |
| ISBN | : 1400882354 |
Download Transcendental Numbers. (AM-16) Book in PDF, ePub and Kindle
The description for this book, Transcendental Numbers. (AM-16), will be forthcoming.
| Author | : A.N. Parshin |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 351 |
| Release | : 2013-03-09 |
| Genre | : Mathematics |
| ISBN | : 3662036444 |
Download Number Theory IV Book in PDF, ePub and Kindle
This 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 | : Andrei B. Shidlovskii |
| Publisher | : Walter de Gruyter |
| Total Pages | : 489 |
| Release | : 2011-06-01 |
| Genre | : Mathematics |
| ISBN | : 3110889056 |
Download Transcendental Numbers Book in PDF, ePub and Kindle
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 | : Clifford A. Pickover |
| Publisher | : Oxford University Press |
| Total Pages | : 420 |
| Release | : 2003-01-16 |
| Genre | : Mathematics |
| ISBN | : 9780195348002 |
Download Wonders of Numbers Book in PDF, ePub and Kindle
Who were the five strangest mathematicians in history? What are the ten most interesting numbers? Jam-packed with thought-provoking mathematical mysteries, puzzles, and games, Wonders of Numbers will enchant even the most left-brained of readers. Hosted by the quirky Dr. Googol--who resides on a remote island and occasionally collaborates with Clifford Pickover--Wonders of Numbers focuses on creativity and the delight of discovery. Here is a potpourri of common and unusual number theory problems of varying difficulty--each presented in brief chapters that convey to readers the essence of the problem rather than its extraneous history. Peppered throughout with illustrations that clarify the problems, Wonders of Numbers also includes fascinating "math gossip." How would we use numbers to communicate with aliens? Check out Chapter 30. Did you know that there is a Numerical Obsessive-Compulsive Disorder? You'll find it in Chapter 45. From the beautiful formula of India's most famous mathematician to the Leviathan number so big it makes a trillion look small, Dr. Googol's witty and straightforward approach to numbers will entice students, educators, and scientists alike to pick up a pencil and work a problem.
| Author | : David Angell |
| Publisher | : CRC Press |
| Total Pages | : 243 |
| Release | : 2021-12-30 |
| Genre | : Mathematics |
| ISBN | : 100052373X |
Download Irrationality and Transcendence in Number Theory Book in PDF, ePub and Kindle
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 | : Saradha Natarajan |
| Publisher | : Springer Nature |
| Total Pages | : 184 |
| Release | : 2020-05-02 |
| Genre | : Mathematics |
| ISBN | : 9811541558 |
Download Pillars of Transcendental Number Theory Book in PDF, ePub and Kindle
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 | : Edward B. Burger |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 266 |
| Release | : 2013-04-17 |
| Genre | : Mathematics |
| ISBN | : 1475741146 |
Download Making Transcendence Transparent Book in PDF, ePub and Kindle
This 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 | : Ivan Niven |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 164 |
| Release | : 1985-12-31 |
| Genre | : Irrational numbers |
| ISBN | : 1614440115 |
Download Irrational Numbers Book in PDF, ePub and Kindle
In this monograph, Ivan Niven provides a masterful exposition of some central results on irrational, transcendental, and normal numbers. He gives a complete treatment by elementary methods of the irrationality of the exponential, logarithmic, and trigonometric functions with rational arguments. The approximation of irrational numbers by rationals, up to such results as the best possible approximation of Hurwitz, is also given with elementary techniques. The last third of the monograph treats normal and transcendental numbers, including the transcendence of p and its generalization in the Lindermann theorem, and the Gelfond-Schneider theorem. Most of the material in the first two thirds of the book presupposes only calculus and beginning number theory. The book is almost wholly self-contained. The results needed from analysis and algebra are central and well-known theorems, and complete references to standard works are given to help the beginner. The chapters are, for the most part, independent. There is a set of notes at the end of each chapter citing the main sources used by the author and suggesting further reading.
