- 208 pages
- English
- ePUB (mobile friendly)
- Available on iOS & Android
eBook - ePub
Transcendental and Algebraic Numbers
About this book
Primarily an advanced study of the modern theory of transcendental and algebraic numbers, this treatment by a distinguished Soviet mathematician focuses on the theory's fundamental methods. The text also chronicles the historical development of the theory's methods and explores the connections with other problems in number theory. The problem of approximating algebraic numbers is also studied as a case in the theory of transcendental numbers.
Topics include the Thue-Siegel theorem, the Hermite-Lindemann theorem on the transcendency of the exponential function, and the work of C. Siegel on the transcendency of the Bessel functions and of the solutions of other differential equations. The final chapter considers the Gelfond-Schneider theorem on the transcendency of alpha to the power beta. Each proof is prefaced by a brief discussion of its scheme, which provides a helpful guide to understanding the proof's progression.
Topics include the Thue-Siegel theorem, the Hermite-Lindemann theorem on the transcendency of the exponential function, and the work of C. Siegel on the transcendency of the Bessel functions and of the solutions of other differential equations. The final chapter considers the Gelfond-Schneider theorem on the transcendency of alpha to the power beta. Each proof is prefaced by a brief discussion of its scheme, which provides a helpful guide to understanding the proof's progression.
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Please note we cannot support devices running on iOS 13 and Android 7 or earlier. Learn more about using the app.
Yes, you can access Transcendental and Algebraic Numbers by A. O. Gelfond, Leo F. Boron in PDF and/or ePUB format, as well as other popular books in Mathematics & Number Theory. We have over one million books available in our catalogue for you to explore.
Information
Table of contents
- Cover
- Title Page
- Copyright Page
- Contents
- Foreword
- Chapter I. The approximation of algebraic irrationalities
- Chapter II. Transcendence of values of analytic functions whose Taylor series have algebraic coefficients
- Chapter III. Arithmetic properties of the set of values of an analytic function whose argument assumes values in an algebraic field; transcendence problems
- Literature
- Index