The Continuum: A Constructive Approach t
โ Prof. Dr. Rudolf Taschner (auth.)
๐ Library
๐
2005
๐ Vieweg+Teubner Verlag
๐ English
โฆ LIBER โฆ
๐
The Continuum. A constructive approach to basic concepts of real analysis
โ Scribed by Rudolf Taschner
- Publisher
- Vieweg+Teubner Verlag
- Year
- 2005
- Tongue
- English
- Leaves
- 142
- Edition
- Reprint
- Category
- Library
โฌ Acquire This Volume
No coin nor oath required. For personal study only.
โฆ Synopsis
In this small text the basic theory of the continuum, including the elements of metric space theory and continuity is developed within the system of intuitionistic mathematics in the sense of L.E.J. Brouwer and H. Weyl. The main features are proofs of the famous theorems of Brouwer concerning the continuity of all functions that are defined on "whole" intervals, the uniform continuity of all functions that are defined on compact intervals, and the uniform convergence of all pointwise converging sequences of functions defined on compact intervals. The constructive approach is interesting both in itself and as a contrast to, for example, the formal axiomatic one
๐ SIMILAR VOLUMES
Real analysis: a constructive approach
โ Mark Bridger
๐ Library
๐
2007
๐ Wiley-Interscience
๐ English
Real Analysis: A Constructive Approach
โ Bridger M.
๐ Library
๐
2006
๐ English
This innovative text sets forth a thoroughly rigorous modern account of the theoretical underpinnings of calculus: continuity, differentiability, and convergence. Using a constructive approach, every proof of every result is direct and ultimately computationally verifiable. The ultimate consequence
Real Analysis: A Constructive Approach T
โ Mark Bridger
๐ Library
๐
2019
๐ American Mathematical Society; Reprint edition
๐ English
Real Analysis: A Constructive Approach Through Interval Arithmetic presents a careful treatment of calculus and its theoretical underpinnings from the constructivist point of view. This leads to an important and unique feature of this book: All existence proofs are direct, so showing that the number
Continuum Damage Mechanics: A Continuum
โ Sumio Murakami (auth.)
๐ Library
๐
2012
๐ Springer Netherlands
๐ English
<p><p>Recent developments in engineering and technology have brought about serious and enlarged demands for reliability, safety and economy in wide range of fields such as aeronautics, nuclear engineering, civil and structural engineering, automotive and production industry. This, in turn, has cause
A Radical Approach to Real Analysis
โ David Bressoud
๐ Library
๐
2022
๐ American Mathematical Society
๐ English
<span>In this second edition of the MAA classic, exploration continues to be an essential component. More than 60 new exercises have been added, and the chapters on Infinite Summations, Differentiability and Continuity, and Convergence of Infinite Series have been reorganized to make it easier to id