Bøger af Dunham Jackson

""Fourier Series And Orthogonal Polynomials: The Carus Mathematical Monographs, No. 6"" is a book written by Dunham Jackson, a renowned American mathematician. The book explores the concepts of Fourier series and orthogonal polynomials, which are fundamental to modern mathematics and physics. The book begins with an introduction to the theory of Fourier series, which are mathematical representations of periodic functions as a sum of sine and cosine functions. The author then delves into the properties of Fourier series, including convergence, differentiation, and integration. The second part of the book focuses on orthogonal polynomials, which are a family of polynomials that satisfy certain orthogonality conditions. The author explains the properties of these polynomials, including their recurrence relations, generating functions, and their relationship to Fourier series. The book concludes with a discussion of applications of Fourier series and orthogonal polynomials in various fields, including physics, engineering, and signal processing. Overall, ""Fourier Series And Orthogonal Polynomials: The Carus Mathematical Monographs, No. 6"" is a comprehensive and authoritative guide to these important mathematical concepts, and is an essential resource for students and researchers in mathematics and related fields.This scarce antiquarian book is a facsimile reprint of the old original and may contain some imperfections such as library marks and notations. Because we believe this work is culturally important, we have made it available as part of our commitment for protecting, preserving, and promoting the world's literature in affordable, high quality, modern editions, that are true to their original work.

This text for undergraduate and graduate students illustrates the fundamental simplicity of the properties of orthogonal functions and their developments in related series. Includes Pearson frequency functions, Jacobi, Hermite, and Laguerre polynomials, more.1941 edition.