TOP
0
0
魅麗。花火原創小說66折起
Counterexamples On Uniform Convergence: Sequences, Series, Functions, And Integrals
滿額折

Counterexamples On Uniform Convergence: Sequences, Series, Functions, And Integrals

定  價:NT$ 3375 元
優惠價:903038
領券後再享89折
無庫存,下單後進貨(到貨天數約30-45天)
可得紅利積點:91 點
相關商品
商品簡介
作者簡介

商品簡介

This book presents counterexamples to false statements typically found within the study of mathematical analysis, real analysis, and calculus, all of which are related to infinite sequences, series of functions, and functions and integrals depending on a parameter. In addition, the book aims to help readers master the presented concepts and theorems, which are traditionally challenging and are sources of misunderstanding and confusion. The authors provide an overview of important concepts and theorems on different types of the convergence of infinite sequences and series by employing counterexamples, and coverage was restricted to the main definitions and theorems in order to explore different versions (wrong and correct) of the fundamental concepts. The book is divided in six chapters: the first chapter contains introductory material such as comments on notations, presentation form, and background theory; the second chapter considers conditions of uniform convergence; the third chapter deals with properties of limit functions such as boundedness, existence of the limit, and continuity; the fourth chapter analyzes the conditions of differentiability and integrability of the limit functions; and the two final chapters consider the properties of integrals (proper and improper) depending on a parameter. It is assumed that readers have some knowledge of calculus. Topical coverage includes: Introduction; Conditions of Uniform Convergence; Properties of the Limit Functions: Boundedness, Limits, and Continuity; Properties of the Limit Function: Differentiability and Integrability; Integrals Depending on a Parameter; and Improper Integrals Depending on a Parameter.

作者簡介

ANDREI BOURCHTEIN, PhD, is Professor in the Department of Mathematics at Pelotas State University in Brazil. The author of more than 100 referred articles and five books, his research interests include numerical analysis, computational fluid dynamics, numerical weather prediction, and real analysis. Dr. Andrei Bourchtein received his PhD in Mathematics and Physics from the Hydrometeorological Center of Russia.

LUDMILA BOURCHTEIN, PhD, is Senior Research Scientist at the Institute of Physics and Mathematics at Pelotas State University in Brazil. The author of more than 80 referred articles and three books, her research interests include real and complex analysis, conformal mappings, and numerical analysis. Dr. Ludmila Bourchtein received her PhD in Mathematics from Saint Petersburg State University in Russia.

您曾經瀏覽過的商品

購物須知

外文書商品之書封,為出版社提供之樣本。實際出貨商品,以出版社所提供之現有版本為主。部份書籍,因出版社供應狀況特殊,匯率將依實際狀況做調整。

無庫存之商品,在您完成訂單程序之後,將以空運的方式為你下單調貨。為了縮短等待的時間,建議您將外文書與其他商品分開下單,以獲得最快的取貨速度,平均調貨時間為1~2個月。

為了保護您的權益,「三民網路書店」提供會員七日商品鑑賞期(收到商品為起始日)。

若要辦理退貨,請在商品鑑賞期內寄回,且商品必須是全新狀態與完整包裝(商品、附件、發票、隨貨贈品等)否則恕不接受退貨。

優惠價:90 3038
無庫存,下單後進貨
(到貨天數約30-45天)

暢銷榜

客服中心

收藏

會員專區