An Introduction to Ultrametric Summability Theory
暫譯: 超度量總和理論導論

Natarajan, P. N.

An Introduction to Ultrametric Summability Theory
  • 出版商: Springer
  • 出版日期: 2026-07-04
  • 售價: $7,130
  • 貴賓價: 9.5 折 $6,773
  • 語言: 英文
  • 頁數: 233
  • 裝訂: Hardcover - also called cloth, retail trade, or trade
  • ISBN: 8132240227
  • ISBN-13: 9788132240228
  • 相關分類: 離散數學 Discrete-mathematics

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商品描述

This is a completely revised and expanded edition of the author's first book, covering numerous new topics and recent developments in ultrametric summability theory. Ultrametric analysis has emerged as an important branch of mathematics in recent years. This book presents a brief survey of the research to date in ultrametric summability theory, which is a fusion of a classical branch of mathematics (summability theory) with a modern branch of analysis (ultrametric analysis). Several mathematicians have contributed to summability theory as well as functional analysis. Three entirely new chapters explore sequence spaces and summability matrices. The book will appeal to both young researchers and more experienced mathematicians who are looking to explore new areas in analysis. The book is also useful as a text for those who wish to specialize in ultrametric summability theory.

商品描述(中文翻譯)

這是作者第一本書的完全修訂和擴充版，涵蓋了許多新的主題和最近在超度量可加性理論中的發展。超度量分析在近年來已成為數學的一個重要分支。本書簡要回顧了迄今為止在超度量可加性理論中的研究，這是一個將數學的古典分支（可加性理論）與現代分析分支（超度量分析）融合的領域。幾位數學家對可加性理論和泛函分析做出了貢獻。三個全新的章節探討了序列空間和可加性矩陣。本書將吸引年輕研究人員和更有經驗的數學家，他們希望探索分析中的新領域。本書對於希望專攻超度量可加性理論的人士也非常有用。

作者簡介

Pinnangudi Narayanasubramanian Natarajan is former Professor and Head, now Professor Emeritus, Department of Mathematics, Ramakrishna Mission Vivekananda College, Chennai. He did his PhD from the University of Madras, under Prof. M.S. Rangachari, former director and head, The Ramanujan Institute for Advanced Study in Mathematics, University of Madras. An active researcher, Dr. Natarajan has more than 150 research papers to his credit published in several international journals like Proceedings of the American Mathematical Society, Bulletin of the London Mathematical Society, Indagationes Mathematicae, Annales Mathematiques Blaise Pascal and Commentationes Mathematicae ( Prace Mat ) and Filomat. His research interest includes summability theory and functional analysis (both classical and ultrametric). Professor Natarajan was honored with the Dr. Radhakrishnan Award for the Best Teacher in Mathematics for the year 1990-91 by the Government of Tamil Nadu. Besides visiting several institutes of repute in Canada, France, Holland and Greece on invitation, Prof. Natarajan has participated in several international conferences and chaired sessions.

作者簡介(中文翻譯)

Pinnangudi Narayanasubramanian Natarajan 是前任教授及系主任，現為印度金奈拉馬克里希納使命維韋卡南達學院數學系的名譽教授。他在馬德拉斯大學獲得博士學位，指導教授為 M.S. Rangachari 教授，前任馬德拉斯大學拉馬努金數學高等研究所的所長及系主任。作為一位活躍的研究者，Natarajan 博士在多個國際期刊上發表了超過 150 篇研究論文，包括《美國數學學會會刊》（Proceedings of the American Mathematical Society）、《倫敦數學學會公報》（Bulletin of the London Mathematical Society）、《數學研究》（Indagationes Mathematicae）、《布萊斯·帕斯卡數學年鑑》（Annales Mathematiques Blaise Pascal）以及《數學評論》（Commentationes Mathematicae (Prace Mat) 和 Filomat）。他的研究興趣包括可和性理論和泛函分析（包括古典和超度量）。Natarajan 教授於 1990-91 年度獲得泰米爾納德邦政府頒發的最佳數學教師拉達克里希南獎。此外，Natarajan 教授應邀訪問過加拿大、法國、荷蘭和希臘的多個知名機構，並參加了多個國際會議並主持會議。

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