Cantitate/Preț
Produs

Number Theory IV: Transcendental Numbers: Encyclopaedia of Mathematical Sciences, cartea 44

Editat de A.N. Parshin Traducere de N. Koblitz Contribuţii de N.I. Fel'dman Editat de I.R. Shafarevich Contribuţii de Yu.V. Nesterenko
en Limba Engleză Hardback – 6 oct 1997
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 . . . . .
Citește tot Restrânge

Toate formatele și edițiile

Toate formatele și edițiile Preț Express
Paperback (1) 94735 lei  6-8 săpt.
  Springer Berlin, Heidelberg – 8 dec 2010 94735 lei  6-8 săpt.
Hardback (1) 95365 lei  6-8 săpt.
  Springer Berlin, Heidelberg – 6 oct 1997 95365 lei  6-8 săpt.

Din seria Encyclopaedia of Mathematical Sciences

Preț: 95365 lei

Preț vechi: 116299 lei
-18% Nou

Puncte Express: 1430

Preț estimativ în valută:
18248 19052$ 15103£

Carte tipărită la comandă

Livrare economică 04-18 aprilie

Preluare comenzi: 021 569.72.76

Specificații

ISBN-13: 9783540614678
ISBN-10: 3540614672
Pagini: 360
Ilustrații: VII, 345 p.
Dimensiuni: 156 x 234 x 25 mm
Greutate: 0.68 kg
Ediția:1998
Editura: Springer Berlin, Heidelberg
Colecția Springer
Seria Encyclopaedia of Mathematical Sciences

Locul publicării:Berlin, Heidelberg, Germany

Public țintă

Research

Cuprins

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.

Textul de pe ultima copertă

This book is a survey of the most important directions of research in transcendental number theory. The central topics in this theory include proofs of irrationality and transcendence of various numbers, especially those that arise as the values of special functions. Questions of this sort go back to ancient times. An example is the old problem of squaring the circle, which Lindemann showed to be impossible in 1882, when he proved that $Öpi$ is a transcendental number. Euler's conjecture that the logarithm of an algebraic number to an algebraic base is transcendental was included in Hilbert's famous list of open problems; this conjecture was proved by Gel'fond and Schneider in 1934. A more recent result was ApÖ'ery's surprising proof of the irrationality of $Özeta(3)$ in 1979. The quantitative aspects of the theory have important applications to the study of Diophantine equations and other areas of number theory. For a reader interested in different branches of number theory, this monograph provides both an overview of the central ideas and techniques of transcendental number theory, and also a guide to the most important results.