Diophantine Approximations - Brossura

Niven, Ivan

Brossura

ISBN 10: 0486462676 ISBN 13: 9780486462677

Casa editrice: Dover Pubns, 2008

Riassunto

This self-contained treatment originated as a series of lectures delivered to the Mathematical Association of America. It covers basic results on homogeneous approximation of real numbers; the analogue for complex numbers; basic results for nonhomogeneous approximation in the real case; the analogue for complex numbers; and fundamental properties of the multiples of an irrational number, for both the fractional and integral parts.
The author refrains from the use of continuous fractions and includes basic results in the complex case, a feature often neglected in favor of the real number discussion. Each chapter concludes with a bibliographic account of closely related work; these sections also contain the sources from which the proofs are drawn.

Su questo libro

Product Description:

This self-contained treatment covers basic results on homogeneous approximation of real numbers; the analogue for complex numbers; basic results for nonhomogeneous approximation in the real case; the analogue for complex numbers; and fundamental properties of the multiples of an irrational number, for both fractional and integral parts. 1963 edition.

Contenuti:

Notation and Conventions 1. The Approximation of Irrationals by Rationals 2. The Product of Linear Forms 3. The Multiples of an Irrational Number 4. The Approximation of Complex Numbers 5. The Product of Complex Linear Forms Bibliography Index

Su questa edizione

• Editore: Dover Pubns
• Data di pubblicazione: 2008
• ISBN 10: 0486462676
• ISBN 13: 9780486462677
• Rilegatura: Copertina flessibile
• Numero di pagine: 68