Stone Spaces

Stone Spaces
Author: Peter T. Johnstone
Publisher: Cambridge University Press
Total Pages: 398
Release: 1982
Genre: Mathematics
ISBN: 9780521337793

A unified treatment of the corpus of mathematics that has developed out of M. H. Stone's representation theorem for Boolean algebras (1936) which has applications in almost every area of modern mathematics.

Spectral Spaces

Spectral Spaces
Author: Max Dickmann
Publisher: Cambridge University Press
Total Pages: 652
Release: 2019-03-21
Genre: Mathematics
ISBN: 1107146720

Offers a comprehensive presentation of spectral spaces focussing on their topology and close connections with algebra, ordered structures, and logic.

Measure Theory

Measure Theory
Author: D. H. Fremlin
Publisher: Torres Fremlin
Total Pages: 967
Release: 2000
Genre: Fourier analysis
ISBN: 0953812944

Tight Spaces

Tight Spaces
Author: Kesho Scott
Publisher: Singular Lives
Total Pages: 260
Release: 1999-04
Genre: Fiction
ISBN:

This expanded edition of Tight Spaces includes six new essays that explore the fulfilling spaces inhabited by Kesho Scott, Cherry Muhanji, and Egyirba High since their book was originally published in 1987. Tight Spaces won the American Book Award in 1988.

Encyclopaedia of Mathematics

Encyclopaedia of Mathematics
Author: Michiel Hazewinkel
Publisher: Springer Science & Business Media
Total Pages: 556
Release: 1993-01-31
Genre: Mathematics
ISBN: 1556080085

This ENCYCLOPAEDIA OF MATHEMATICS aims to be a reference work for all parts of mathe matics. It is a translation with updates and editorial comments of the Soviet Mathematical Encyclopaedia published by 'Soviet Encyclopaedia Publishing House' in five volumes in 1977-1985. The annotated translation consists of ten volumes including a special index volume. There are three kinds of articles in this ENCYCLOPAEDIA. First of all there are survey-type articles dealing with the various main directions in mathematics (where a rather fme subdivi sion has been used). The main requirement for these articles has been that they should give a reasonably complete up-to-date account of the current state of affairs in these areas and that they should be maximally accessible. On the whole, these articles should be understandable to mathematics students in their first specialization years, to graduates from other mathematical areas and, depending on the specific subject, to specialists in other domains of science, en gineers and teachers of mathematics. These articles treat their material at a fairly general level and aim to give an idea of the kind of problems, techniques and concepts involved in the area in question. They also contain background and motivation rather than precise statements of precise theorems with detailed definitions and technical details on how to carry out proofs and constructions. The second kind of article, of medium length, contains more detailed concrete problems, results and techniques.

Sacred Spaces and Other Places

Sacred Spaces and Other Places
Author: Lisa Stone
Publisher:
Total Pages: 196
Release: 1993
Genre: Art brut
ISBN:

This book was created to accompany the exhibition, Sacred Spaces and Other Places: the Artist in the Landscape of the Upper Midwest, at the Betty Rymer Gallery at The School of the Art Institute of Chicago (28 August-13 October, 1993).

Algebra and Coalgebra in Computer Science

Algebra and Coalgebra in Computer Science
Author: Till Mossakowski
Publisher: Springer
Total Pages: 473
Release: 2007-08-22
Genre: Computers
ISBN: 3540738592

A double-pronged approach makes this book an extremely useful addition to the literature on this highly relevant contemporary topic. Addressing two basic areas of application for algebras and coalgebras – as mathematical objects as well as in the context of their application in computer science – the papers cover topics such as abstract models and logics, specialised models and calculi, algebraic and coalgebraic semantics, and system specification and verification. The book is the refereed proceedings of the second CALCO conference, held in August 2007 in Norway.

Ultrafilters Throughout Mathematics

Ultrafilters Throughout Mathematics
Author: Isaac Goldbring
Publisher: American Mathematical Society
Total Pages: 421
Release: 2022-06-28
Genre: Mathematics
ISBN: 1470469618

Ultrafilters and ultraproducts provide a useful generalization of the ordinary limit processes which have applications to many areas of mathematics. Typically, this topic is presented to students in specialized courses such as logic, functional analysis, or geometric group theory. In this book, the basic facts about ultrafilters and ultraproducts are presented to readers with no prior knowledge of the subject and then these techniques are applied to a wide variety of topics. The first part of the book deals solely with ultrafilters and presents applications to voting theory, combinatorics, and topology, while also dealing also with foundational issues. The second part presents the classical ultraproduct construction and provides applications to algebra, number theory, and nonstandard analysis. The third part discusses a metric generalization of the ultraproduct construction and gives example applications to geometric group theory and functional analysis. The final section returns to more advanced topics of a more foundational nature. The book should be of interest to undergraduates, graduate students, and researchers from all areas of mathematics interested in learning how ultrafilters and ultraproducts can be applied to their specialty.

Banach Spaces of Continuous Functions as Dual Spaces

Banach Spaces of Continuous Functions as Dual Spaces
Author: H. G. Dales
Publisher: Springer
Total Pages: 286
Release: 2016-12-13
Genre: Mathematics
ISBN: 3319323490

This book gives a coherent account of the theory of Banach spaces and Banach lattices, using the spaces C_0(K) of continuous functions on a locally compact space K as the main example. The study of C_0(K) has been an important area of functional analysis for many years. It gives several new constructions, some involving Boolean rings, of this space as well as many results on the Stonean space of Boolean rings. The book also discusses when Banach spaces of continuous functions are dual spaces and when they are bidual spaces.