SpringerBriefs in Mathematics

An Introduction to Ultrametric Summability Theory

Authors: Natarajan, P.N.

  • Studies ultrametric analysis, an emerging branch of mathematics
  • Introduces the concepts of ultrametric summability theory—a fusion of summability theory and ultrametric analysis
  • Appeals to young researchers as well as mature mathematicians
see more benefits

Buy this book

eBook $39.99
price for USA (gross)
  • ISBN 978-81-322-1647-6
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $54.99
price for USA
  • ISBN 978-81-322-1646-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
About this book

Ultrametric analysis has emerged as an important branch of mathematics in recent years. This book presents, for the first time, 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. The book will appeal to both young researchers and more experienced mathematicians who are looking to explore new areas in analysis.

About the authors

Pinnangudi Narayanasubramanian Natarajan is former professor and head, 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, Prof. Natarajan has over 90 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, Commentationes Mathematicae (Prace Matematyczne). His research interest includes summability theory and functional analysis (both classical and ultrametric). Prof. Natarajan was honored with 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, too.

Table of contents (4 chapters)

  • Introduction and Preliminaries

    Natarajan, P. N.

    Pages 1-14

  • Some Arithmetic and Analysis in $${\mathbb {Q}}_p$$ : Derivatives in Ultrametric Analysis

    Natarajan, P. N.

    Pages 15-22

  • Ultrametric Functional Analysis

    Natarajan, P. N.

    Pages 23-28

  • Ultrametric Summability Theory

    Natarajan, P. N.

    Pages 29-100

Buy this book

eBook $39.99
price for USA (gross)
  • ISBN 978-81-322-1647-6
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $54.99
price for USA
  • ISBN 978-81-322-1646-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
Loading...

Recommended for you

Loading...

Bibliographic Information

Bibliographic Information
Book Title
An Introduction to Ultrametric Summability Theory
Authors
Series Title
SpringerBriefs in Mathematics
Copyright
2014
Publisher
Springer India
Copyright Holder
The Author(s)
eBook ISBN
978-81-322-1647-6
DOI
10.1007/978-81-322-1647-6
Softcover ISBN
978-81-322-1646-9
Series ISSN
2191-8198
Edition Number
1
Number of Pages
IX, 102
Topics