Transcendental Numbers

Nonfiction, Science & Nature, Mathematics, Number Theory, Algebra
Cover of the book Transcendental Numbers by M. Ram Murty, Purusottam Rath, Springer New York
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Author: M. Ram Murty, Purusottam Rath ISBN: 9781493908325
Publisher: Springer New York Publication: June 24, 2014
Imprint: Springer Language: English
Author: M. Ram Murty, Purusottam Rath
ISBN: 9781493908325
Publisher: Springer New York
Publication: June 24, 2014
Imprint: Springer
Language: English

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.

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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.

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