Author: Ivan Niven
Publisher: Dover Publications
Keywords: approximations, diophantine
Number of Pages: 80
Published: 2008-03-14
List price: $7.95
ISBN-10: 0486462676
ISBN-13: 9780486462677

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.

Author: Serge Lang
Publisher: Springer
Keywords: approximations, diophantine, introduction
Number of Pages: 130
Published: 1995-06-29
List price: $89.95
ISBN-10: 0387944567
ISBN-13: 9780387944562

The aim of this book is to illustrate by significant special examples three aspects of the theory of Diophantine approximations: the formal relationships that exist between counting processes and the functions entering the theory; the determination of these functions for numbers given as classical numbers; and certain asymptotic estimates holding almost everywhere. Each chapter works out a special case of a much broader general theory, as yet unknown. Indications for this are given throughout the book, together with reference to current publications. The book may be used in a course in number

Author: G. Battle
Publisher: World Scientific Pub Co Inc
Keywords: amp, series, decomposition, renormalization, wavelets, approximations
Number of Pages: 561
Published: 1999-05
List price: $88.00
ISBN-10: 9810226241
ISBN-13: 9789810226244

WAVELETS AND RENORMALIZATION describes the role played by wavelets in Euclidean field theory and classical statistical mechanics. The author begins with a stream-lined introduction to quantum field theory from a rather basic point of view. Functional integrals for imaginary-time-ordered expectations are introduced early and naturally, while the connection with the statistical mechanics of classical spin systems is introduced in a later chapter. A vastly simplified (wavelet) version of the celebrated Glimm-Jaffe construction of the f43 quantum field theory is presented. It is due to Battle a

Author: Guanrong Chen
Publisher: World Scientific Pub Co Inc
Keywords: decompositions, vol, approximations, filtering, kalman, approximate
Number of Pages: 300
Published: 1993-11
List price: $96.00
ISBN-10: 981021359X
ISBN-13: 9789810213596

Kalman filtering algorithm gives optimal (linear, unbiased and minimum error-variance) estimates of the unknown state vectors of a linear dynamic-observation system, under the regular conditions such as perfect data information; complete noise statistics; exact linear modelling; ideal will-conditioned matrices in computation and strictly centralized filtering. In practice, however, one or more of the aforementioned conditions may not be satisfied, so that the standard Kalman filtering algorithm cannot be directly used, and hence "approximate Kalman filtering" becomes necessary. In the last dec

Author: E. M. Nikishin and V. N. Sorokin
Publisher: American Mathematical Society
Keywords: mathematical, monographs, translations, orthogonality, approximations, rational
Number of Pages: 221
Published: 1991-10-23
List price: $95.00
ISBN-10: 0821845454
ISBN-13: 9780821845455

This book presents a wide range of problems connected with rational approximations of numbers and analytic functions. These problems touch on many topics in contemporary analysis, such as analytic functions, orthogonal polynomials, spectral theory of operators, and potential theory. Motivated by the development of the theory of Pade approximants and the current application of this theory in related disciplines, the authors present an introduction to this circle of ideas. The book is intended for students and future researchers interested in function theory and number theory.

Author: Luke
Publisher: Academic Press
Keywords: mathematics, science, engineering, 53a, volume, functions, approximations, special
Number of Pages: 440
Published: 1969-02-11
List price: $135.00
ISBN-10: 012459901X
ISBN-13: 9780124599017

Author: William C. Wimsatt
Publisher: Harvard University Pre
Keywords: approximations, reality, piecewise, beings, philosophy, limited, engineering
Number of Pages: 472
Published: 2007-06-30
List price: $52.50
ISBN-10: 0674015452
ISBN-13: 9780674015456

Analytic philosophers once pantomimed physics: they tried to understand the world by breaking it down into the smallest possible bits. Thinkers from the Darwinian sciences now pose alternatives to this simplistic reductionism. In this intellectual tour--essays spanning thirty years--William Wimsatt argues that scientists seek to atomize phenomena only when necessary in the search to understand how entities, events, and processes articulate at different levels. Evolution forms the natural world not as Laplace’s all-seeing demon but as a backwoods mechanic fixing and re-fashioning machin