
Number Theory IV
Transcendental Numbers
Springer (Publisher)
Published on 8. December 2010
Book
Paperback/Softback
VII, 345 pages
978-3-642-08259-7 (ISBN)
Description
This book was written over a period of more than six years. Several months after we finished our work, N.1. Fel'dman (the senior author of the book) died. All additions and corrections entered after his death were made by his coauthor. The assistance of many of our colleagues was invaluable during the writing of the book. They examined parts of the manuscript and suggested many improvements, made useful comments and corrected many errors. I much have pleasure in acknowledging our great indebtedness to them. Special thanks are due to A. B. Shidlovskii, V. G. Chirskii, A.1. Galochkin and O. N. Vasilenko. I would like to express my gratitude to D. Bertrand and J. Wolfart for their help in the final stages of this book. Finally, I wish to thank Neal Koblitz for having translated this text into English. August 1997 Yu. V.Nesterenko Transcendental Numbers N.1. Fel'dman and Yu. V. Nesterenko Translated from the Russian by Neal Koblitz Contents Notation ...................................................... 9 Introduction ................................................... 11 0.1 Preliminary Remarks .................................. 11 0.2 Irrationality of J2 ..................................... 11 0.3 The Number 1C' 13 0.4 Transcendental Numbers ............................... 14 0.5 Approximation of Algebraic Numbers .................... 15 0.6 Transcendence Questions and Other Branches of Number Theory ..................................... 16 0.7 The Basic Problems Studied in Transcendental Number Theory ....................................... 17 0.8 Different Ways of Giving the Numbers ................... 19 0.9 Methods .......................... . . . . . . . . . . . . . . 20 . . . . .
More details
Series
Edition
Softcover reprint of hardcover 1st ed. 1998
Language
English
Place of publication
Berlin
Germany
Publishing group
Springer Berlin
Target group
Professional and scholarly
Research
Illustrations
VII, 345 p.
Dimensions
Height: 235 mm
Width: 155 mm
Thickness: 20 mm
Weight
540 gr
ISBN-13
978-3-642-08259-7 (9783642082597)
DOI
10.1007/978-3-662-03644-0
Schweitzer Classification
Other editions
Additional editions

Book
10/1997
Springer
€160.49
Shipment within 10-15 days
Persons
Editor
Contributions
Translation
Content
1. Approximation of Algebraic Numbers.- 2. Effective Constructions in Transcendental Number Theory.- 3. Hilbert's Seventh Problem.- 4. Multidimensional Generalization of Hilbert's Seventh Problem.- 5. Values of Analytic Functions That Satisfy Linear Differential Equations.- 6. Algebraic Independence of the Values of Analytic Functions That Have an Addition Law.