Transcendental Number Theory

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Release : 2022-06-09
Genre : Computers
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Book Rating : 94X/5 ( reviews)

Transcendental Number Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Transcendental Number Theory write by Alan Baker. This book was released on 2022-06-09. Transcendental Number Theory available in PDF, EPUB and Kindle. Alan Baker's systematic account of transcendental number theory, with a new introduction and afterword explaining recent developments.

Transcendental Numbers

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Release : 2014-06-24
Genre : Mathematics
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Book Rating : 324/5 ( reviews)

Transcendental Numbers - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Transcendental Numbers write by M. Ram Murty. This book was released on 2014-06-24. Transcendental Numbers available 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.

Pillars of Transcendental Number Theory

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Release : 2020-05-02
Genre : Mathematics
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Book Rating : 558/5 ( reviews)

Pillars of Transcendental Number Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Pillars of Transcendental Number Theory write by Saradha Natarajan. This book was released on 2020-05-02. Pillars of Transcendental Number Theory available 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.

Irrationality and Transcendence in Number Theory

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Release : 2021-12-30
Genre : Mathematics
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Book Rating : 73X/5 ( reviews)

Irrationality and Transcendence in Number Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Irrationality and Transcendence in Number Theory write by David Angell. This book was released on 2021-12-30. Irrationality and Transcendence in Number Theory available 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.

Making Transcendence Transparent

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Release : 2013-04-17
Genre : Mathematics
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Book Rating : 146/5 ( reviews)

Making Transcendence Transparent - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Making Transcendence Transparent write by Edward B. Burger. This book was released on 2013-04-17. Making Transcendence Transparent available 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.