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

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).

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.

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.

Ordered Sets and Lattices II

Ordered Sets and Lattices II
Author:
Publisher: American Mathematical Soc.
Total Pages: 262
Release:
Genre: Mathematics
ISBN: 9780821895887

This indispensable reference source contains a wealth of information on lattice theory. The book presents a survey of virtually everything published in the fields of partially ordered sets, semilattices, lattices, and Boolean algebras that was reviewed in Referativnyi Zhurnal Matematika from mid-1982 to the end of 1985. A continuation of a previous volume (the English translation of which was published by the AMS in 1989, as volume 141 in Translations - Series 2), this comprehensive work contains more than 2200 references. Many of the papers covered here were originally published in virtually inaccessible places. The compilation of the volume was directed by Milan Kolibiar of Comenius University at Bratislava and Lev A. Skornyakov of Moscow University. Of interest to mathematicians, as well as to philosophers and computer scientists in certain areas, this unique compendium is a must for any mathematical library.

Reality and Measurement in Algebraic Quantum Theory

Reality and Measurement in Algebraic Quantum Theory
Author: Masanao Ozawa
Publisher: Springer
Total Pages: 398
Release: 2018-11-02
Genre: Mathematics
ISBN: 9811324875

This volume contains papers based on presentations at the “Nagoya Winter Workshop 2015: Reality and Measurement in Algebraic Quantum Theory (NWW 2015)”, held in Nagoya, Japan, in March 2015. The foundations of quantum theory have been a source of mysteries, puzzles, and confusions, and have encouraged innovations in mathematical languages to describe, analyze, and delineate this wonderland. Both ontological and epistemological questions about quantum reality and measurement have been placed in the center of the mysteries explored originally by Bohr, Heisenberg, Einstein, and Schrödinger. This volume describes how those traditional problems are nowadays explored from the most advanced perspectives. It includes new research results in quantum information theory, quantum measurement theory, information thermodynamics, operator algebraic and category theoretical foundations of quantum theory, and the interplay between experimental and theoretical investigations on the uncertainty principle. This book is suitable for a broad audience of mathematicians, theoretical and experimental physicists, and philosophers of science.

The Logic in Philosophy of Science

The Logic in Philosophy of Science
Author: Hans Halvorson
Publisher: Cambridge University Press
Total Pages: 305
Release: 2019-07-11
Genre: Science
ISBN: 1108601545

Major figures of twentieth-century philosophy were enthralled by the revolution in formal logic, and many of their arguments are based on novel mathematical discoveries. Hilary Putnam claimed that the Löwenheim-Skølem theorem refutes the existence of an objective, observer-independent world; Bas van Fraassen claimed that arguments against empiricism in philosophy of science are ineffective against a semantic approach to scientific theories; W. V. O. Quine claimed that the distinction between analytic and synthetic truths is trivialized by the fact that any theory can be reduced to one in which all truths are analytic. This book dissects these and other arguments through in-depth investigation of the mathematical facts undergirding them. It presents a systematic, mathematically rigorous account of the key notions arising from such debates, including theory, equivalence, translation, reduction, and model. The result is a far-reaching reconceptualization of the role of formal methods in answering philosophical questions.