From the reviews:"The book ... is a thorough and very readable introduction to the arithmetic of function fields of one variable over a finite field, by an author who has made fundamental contributions to the field. It serves as a definitive reference volume, as well as offering…
First published in 1975, this classic book gives a systematic account of transcendental number theory, that is those numbers which cannot be expressed as the roots of algebraic equations having rational coefficients. Their study has developed into a fertile and extensive theory …
The study of transcendental numbers has now developed into a fertile and extensive theory, enriching widespread branches of mathematics; and the time has seemed opportune to prepare a systematic treatise. My aim has been to provide a comprehensive account of the recent major dis…
by Ribenboim, Paulo, Ribenboim, Paulo
fromUniversitext
Gauss created the theory of binary quadratic forms in "Disquisitiones Arithmeticae" and Kummer invented ideals and the theory of cyclotomic fields in his attempt to prove Fermat's Last Theorem. These were the starting points for the theory of algebraic numbers, developed in the …
by Ribenboim, Paulo, Ribenboim, Paulo
fromUniversitext
by Bosch, S., (Siegfried), Baldassarri, F., (Francesco), Centro internazionale per la ricerca matematica (Trento, Italy), Dwork, Bernard M., Congress on "p-adic Analysis", Trento, Italy)
fromLecture notes in mathematics (Springer-Verlag)
by Bosch, S., (Siegfried), Baldassarri, F., (Francesco), Centro internazionale per la ricerca matematica (Trento, Italy), Dwork, Bernard M., Congress on "p-adic Analysis", Trento, Italy)
fromLecture notes in mathematics (Springer-Verlag)
In this monograph, Ivan Niven, provides a masterful exposition of some central results on irrational, transcendental, and normal numbers. He gives a complete treatment by elementary methods of the irrationality of the exponential, logarithmic, and trigonometric functions with ra…
