Diophantine Approximations

Nonfiction, Science & Nature, Mathematics, Number Theory
Cover of the book Diophantine Approximations by Ivan Niven, Dover Publications
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Ivan Niven ISBN: 9780486164700
Publisher: Dover Publications Publication: January 23, 2013
Imprint: Dover Publications Language: English
Author: Ivan Niven
ISBN: 9780486164700
Publisher: Dover Publications
Publication: January 23, 2013
Imprint: Dover Publications
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Dover Publications

Cover of the book Nonlinear Programming by Ivan Niven
Cover of the book Handbook of Knotting and Splicing by Ivan Niven
Cover of the book Laser Light Scattering by Ivan Niven
Cover of the book Introduction to Topology by Ivan Niven
Cover of the book The Picture of Dorian Gray by Ivan Niven
Cover of the book The Malliavin Calculus by Ivan Niven
Cover of the book Birdhouses and Feeders by Ivan Niven
Cover of the book The Heart of Thoreau's Journals by Ivan Niven
Cover of the book The Soup Book by Ivan Niven
Cover of the book Gaslit Horror: Stories by Robert W. Chambers, Lafcadio Hearn, Bernard Capes and Others by Ivan Niven
Cover of the book Operators and Representation Theory by Ivan Niven
Cover of the book Eighty Drawings by Ivan Niven
Cover of the book Space Cat Meets Mars by Ivan Niven
Cover of the book Daniel Boone's Own Story & The Adventures of Daniel Boone by Ivan Niven
Cover of the book Worlds of the Imperium by Ivan Niven
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy