Share

An Introduction to Metric Spaces

2020-07-14 Mathematics
Download An Introduction to Metric Spaces PDF Online Free

Author :
Release : 2020-07-14
Genre : Mathematics
Kind : eBook
Book Rating : 999/5 ( reviews)

GET EBOOK


Book Synopsis An Introduction to Metric Spaces by : Dhananjay Gopal

Download or read book An Introduction to Metric Spaces written by Dhananjay Gopal. This book was released on 2020-07-14. Available in PDF, EPUB and Kindle. Book excerpt: This book serves as a textbook for an introductory course in metric spaces for undergraduate or graduate students. The goal is to present the basics of metric spaces in a natural and intuitive way and encourage students to think geometrically while actively participating in the learning of this subject. In this book, the authors illustrated the strategy of the proofs of various theorems that motivate readers to complete them on their own. Bits of pertinent history are infused in the text, including brief biographies of some of the central players in the development of metric spaces. The textbook is divided into seven chapters that contain the main materials on metric spaces; namely, introductory concepts, completeness, compactness, connectedness, continuous functions and metric fixed point theorems with applications. Some of the noteworthy features of this book include · Diagrammatic illustrations that encourage readers to think geometrically · Focus on systematic strategy to generate ideas for the proofs of theorems · A wealth of remarks, observations along with a variety of exercises · Historical notes and brief biographies appearing throughout the text

Introduction to Metric and Topological Spaces

2009-06-18 Mathematics
Download Introduction to Metric and Topological Spaces PDF Online Free

Author :
Release : 2009-06-18
Genre : Mathematics
Kind : eBook
Book Rating : 309/5 ( reviews)

GET EBOOK


Book Synopsis Introduction to Metric and Topological Spaces by : Wilson A Sutherland

Download or read book Introduction to Metric and Topological Spaces written by Wilson A Sutherland. This book was released on 2009-06-18. Available in PDF, EPUB and Kindle. Book excerpt: One of the ways in which topology has influenced other branches of mathematics in the past few decades is by putting the study of continuity and convergence into a general setting. This new edition of Wilson Sutherland's classic text introduces metric and topological spaces by describing some of that influence. The aim is to move gradually from familiar real analysis to abstract topological spaces, using metric spaces as a bridge between the two. The language of metric and topological spaces is established with continuity as the motivating concept. Several concepts are introduced, first in metric spaces and then repeated for topological spaces, to help convey familiarity. The discussion develops to cover connectedness, compactness and completeness, a trio widely used in the rest of mathematics. Topology also has a more geometric aspect which is familiar in popular expositions of the subject as `rubber-sheet geometry', with pictures of Möbius bands, doughnuts, Klein bottles and the like; this geometric aspect is illustrated by describing some standard surfaces, and it is shown how all this fits into the same story as the more analytic developments. The book is primarily aimed at second- or third-year mathematics students. There are numerous exercises, many of the more challenging ones accompanied by hints, as well as a companion website, with further explanations and examples as well as material supplementary to that in the book.

An Introduction to Metric Spaces and Fixed Point Theory

2011-10-14 Mathematics
Download An Introduction to Metric Spaces and Fixed Point Theory PDF Online Free

Author :
Release : 2011-10-14
Genre : Mathematics
Kind : eBook
Book Rating : 326/5 ( reviews)

GET EBOOK


Book Synopsis An Introduction to Metric Spaces and Fixed Point Theory by : Mohamed A. Khamsi

Download or read book An Introduction to Metric Spaces and Fixed Point Theory written by Mohamed A. Khamsi. This book was released on 2011-10-14. Available in PDF, EPUB and Kindle. Book excerpt: Diese Einfuhrung in das Gebiet der metrischen Raume richtet sich in erster Linie nicht an Spezialisten, sondern an Anwender der Methode aus den verschiedensten Bereichen der Naturwissenschaften. Besonders ausfuhrlich und anschaulich werden die Grundlagen von metrischen Raumen und Banach-Raumen erklart, Anhange enthalten Informationen zu verschiedenen Schlusselkonzepten der Mengentheorie (Zornsches Lemma, Tychonov-Theorem, transfinite Induktion usw.). Die hinteren Kapitel des Buches beschaftigen sich mit fortgeschritteneren Themen.

Metric Spaces

2006-12-26 Mathematics
Download Metric Spaces PDF Online Free

Author :
Release : 2006-12-26
Genre : Mathematics
Kind : eBook
Book Rating : 271/5 ( reviews)

GET EBOOK


Book Synopsis Metric Spaces by : Mícheál O'Searcoid

Download or read book Metric Spaces written by Mícheál O'Searcoid. This book was released on 2006-12-26. Available in PDF, EPUB and Kindle. Book excerpt: The abstract concepts of metric spaces are often perceived as difficult. This book offers a unique approach to the subject which gives readers the advantage of a new perspective on ideas familiar from the analysis of a real line. Rather than passing quickly from the definition of a metric to the more abstract concepts of convergence and continuity, the author takes the concrete notion of distance as far as possible, illustrating the text with examples and naturally arising questions. Attention to detail at this stage is designed to prepare the reader to understand the more abstract ideas with relative ease.

Functional Analysis

Download Functional Analysis PDF Online Free

Author :
Release :
Genre :
Kind : eBook
Book Rating : 373/5 ( reviews)

GET EBOOK


Book Synopsis Functional Analysis by : Joseph Muscat

Download or read book Functional Analysis written by Joseph Muscat. This book was released on . Available in PDF, EPUB and Kindle. Book excerpt:

You may also like...