Techniques of Constructive Analysis (Universitext) （2006. XII, 250 p. w. 10 figs.）

Bridges, Douglas S./ Vita, Luminita S.

SPRINGER, BERLIN（2006発売）

• 製本 Paperback:紙装版/ペーパーバック版／ページ数 213 p.
• 言語 ENG
• 商品コード 9780387336466

Full Description

This book is an introduction to constructive mathematics with an emphasis on techniques and results obtained in the last twenty years. The text covers fundamental theory of the real line and metric spaces, focusing on locatedness in normed spaces and with associated results about operators and their adjoints on a Hilbert space. The first appendix gathers together some basic notions about sets and orders, the second gives the axioms for intuitionistic logic. No background in intuitionistic logic or constructive analysis is needed in order to read the book, but some familiarity with the classical theories of metric, normed and Hilbert spaces is necessary.

Contents

to Constructive Mathematics.- Techniques of Elementary Analysis.- The ?-Technique.- Finite-Dimensional and Hilbert Spaces.- Linearity and Convexity.- Operators and Locatedness.