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Diophant Approx : Tracts in Mathematics - J. W. S. Cassels

Diophant Approx

Tracts in Mathematics

Paperback Published: 3rd March 1957
ISBN: 9780521045872
Number Of Pages: 180

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This tract sets out to give some idea of the basic techniques and of some of the most striking results of Diophantine approximation. A selection of theorems with complete proofs are presented, and Cassels also provides a precise introduction to each chapter, and appendices detailing what is needed from the geometry of numbers and linear algebra. Some chapters require knowledge of elements of Lebesgue theory and algebraic number theory. This is a valuable and concise text aimed at the final-year undergraduate and first-year graduate student.

Homogeneous Approximation
The Markoff Chain
Inhomogeneous Approximation
Uniform Distribution
Transference Theorems
Rational Approximation to Algebraic Numbers. Roth's Theorem
Metrical Theory
The Pisot-Vijayaraghavan Numbers
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780521045872
ISBN-10: 0521045878
Series: Tracts in Mathematics
Audience: Tertiary; University or College
Format: Paperback
Language: English
Number Of Pages: 180
Published: 3rd March 1957
Country of Publication: GB
Dimensions (cm): 21.59 x 13.97  x 1.04
Weight (kg): 0.24

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