کتاب دانلود کتب لاتین علوم مهندسیآمار و احتمال
نظریه طراحی اقلیدسی
نظریه طراحی اقلیدسی

Euclidean Design Theory
سال انتشار: 2019
تعداد صفحات: 139
زبان فایل: انگلیسی
فرمت فایل: pdf
حجم فایل: 3MB
رمز فایل: www.ketabdownload.com
قیمت: 250,000ريال

افزودن به سبد دانلود

Publisher : Springer

ISBN-10 : 9811380767

ISBN-13 : 978-9811380761

ASIN : B07XLMRLW8

This book is the modern first treatment of experimental designs, providing a comprehensive introduction to the interrelationship between the theory of optimal designs and the theory of cubature formulas in numerical analysis. It also offers original new ideas for constructing optimal designs.

The book opens with some basics on reproducing kernels, and builds up to more advanced topics, including bounds for the number of cubature formula points, equivalence theorems for statistical optimalities, and the Sobolev Theorem for the cubature formula. It concludes with a functional analytic generalization of the above classical results.

Although it is intended for readers who are interested in recent advances in the construction theory of optimal experimental designs, the book is also useful for researchers seeking rich interactions between optimal experimental designs and various mathematical subjects such as spherical designs in combinatorics and cubature formulas in numerical analysis, both closely related to embeddings of classical finite-dimensional Banach spaces in functional analysis and Hilbert identities in elementary number theory. Moreover, it provides a novel communication platform for “design theorists” in a wide variety of research fields.