Stone Spaces

Author: Peter T. Johnstone

Publisher: Cambridge University Press

ISBN: 9780521337793

Category: Mathematics

Page: 370

View: 3115

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.
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Motivic Integration and its Interactions with Model Theory and Non-Archimedean Geometry:

Author: Raf Cluckers,Johannes Nicaise,Julien Sebag

Publisher: Cambridge University Press

ISBN: 1139499793

Category: Mathematics

Page: N.A

View: 4067

The development of Maxim Kontsevich's initial ideas on motivic integration has unexpectedly influenced many other areas of mathematics, ranging from the Langlands program over harmonic analysis, to non-Archimedean analysis, singularity theory and birational geometry. This book assembles the different theories of motivic integration and their applications for the first time, allowing readers to compare different approaches and assess their individual strengths. All of the necessary background is provided to make the book accessible to graduate students and researchers from algebraic geometry, model theory and number theory. Applications in several areas are included so that readers can see motivic integration at work in other domains. In a rapidly-evolving area of research this book will prove invaluable. This first volume contains introductory texts on the model theory of valued fields, different approaches to non-Archimedean geometry, and motivic integration on algebraic varieties and non-Archimedean spaces.
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Handbook of Philosophical Logic

Author: D.M. Gabbay,Franz Guenthner

Publisher: Springer Science & Business Media

ISBN: 1402030924

Category: Philosophy

Page: 372

View: 531

A useful reference work to both students and researchers in formal philosophy, language and logic. This second edition is intended to comprise some 18 volumes and provides in-depth coverage of major topics in philosophical logic and its applications in many cutting-edge fields relating to computer science, language, argumentation, and others.
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Ordered Sets and Lattices II

Author: N.A

Publisher: American Mathematical Soc.

ISBN: 9780821895887

Category: Lattice theory

Page: 246

View: 7810

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.
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General Lattice Theory

Author: George Grätzer,B.A. Davey

Publisher: Springer Science & Business Media

ISBN: 9783764369965

Category: Juvenile Nonfiction

Page: 663

View: 7844

In 20 years, tremendous progress has been made in Lattice Theory. Nevertheless, the change is in the superstructure not in the foundation. Accordingly, I decided to leave the book unchanged and add appendices to record the change. In the first appendix: Retrospective, I briefly review developments from the point of view of this book, specifically, the major results of the last 20 years and solutions of the problems proposed in this book. It is remarkable how many difficult problems have been solved! I was lucky in getting an exceptional group of people to write the other appendices: Brian A. Davey and Hilary A. Priestley on distributive lattices and duality, Friedrich Wehrung on continuous geometries, Marcus Greferath and Stefan E. Schmidt on projective lattice geometries, Peter Jipsen and Henry Rose on varieties, Ralph Freese on free lattices, Bernhard Ganter and Rudolf Wille on formal concept analysis; Thomas Schmidt collaborated with me on congruence lattices. Many of these same people are responsible for the definitive books on the same subjects. I changed very little in the book proper. The diagrams have been redrawn and the book was typeset in ~1EX. To bring the notation up-to-date, I substituted ConL for C(L), IdL for I(L), and so on. Almost 200 mathematicians helped me with this project, from correcting typos to writing long essays on the topics that should go into Retrospective. The last section of Retrospective lists the major contributors. My deeply felt thanks to all of them.
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General Topology and Applications

Proceedings of the 1988 Northeast Conference

Author: Shortt

Publisher: CRC Press

ISBN: N.A

Category: Mathematics

Page: 312

View: 3710

Proceedings of the Northeast Conference on the subject at Wesleyan University, Connecticut, in June 1988. The two dozen papers, by mathematicians from the US, Canada, and the Netherlands, report on recent advances in topology for research mathematicians and graduate students. They focus on the theor
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L'Enseignement mathématique

Author: N.A

Publisher: N.A

ISBN: N.A

Category: Mathematics

Page: N.A

View: 3769

Vols. for 1965- include a separately paged section, Bulletin bibliographique.
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Choice

Author: N.A

Publisher: N.A

ISBN: N.A

Category: Academic libraries

Page: N.A

View: 5076

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Moduli Spaces and Arithmetic Geometry(Kyoto,2004)

Author: Shigeru Mukai

Publisher: Amer Mathematical Society

ISBN: N.A

Category: Mathematics

Page: 432

View: 7647

Since its birth, algebraic geometry has been closely related to and deeply motivated by number theory. The modern study of moduli spaces and arithmetic geometry demonstrates that these two areas have many important techniques and ideas in common. With this close relation in mind, the RIMS conference Moduli Spaces and Arithmetic Geometry was held at Kyoto University during September 8-15, 2004 as the 13th International Research Institute of the Mathematical Society of Japan. This volume is the outcome of this conference and consists of thirteen papers by invited speakers.
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Handbook of Boolean algebras

Author: James Donald Monk,Robert Bonnet

Publisher: North Holland

ISBN: 9780444871534

Category: Mathematics

Page: 1367

View: 4686

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Report

Author: N.A

Publisher: N.A

ISBN: N.A

Category: Mathematics

Page: N.A

View: 3902

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Foundational Theories of Classical and Constructive Mathematics

Author: Giovanni Sommaruga

Publisher: Springer Science & Business Media

ISBN: 9789400704312

Category: Mathematics

Page: 316

View: 7710

The book "Foundational Theories of Classical and Constructive Mathematics" is a book on the classical topic of foundations of mathematics. Its originality resides mainly in its treating at the same time foundations of classical and foundations of constructive mathematics. This confrontation of two kinds of foundations contributes to answering questions such as: Are foundations/foundational theories of classical mathematics of a different nature compared to those of constructive mathematics? Do they play the same role for the resp. mathematics? Are there connections between the two kinds of foundational theories? etc. The confrontation and comparison is often implicit and sometimes explicit. Its great advantage is to extend the traditional discussion of the foundations of mathematics and to render it at the same time more subtle and more differentiated. Another important aspect of the book is that some of its contributions are of a more philosophical, others of a more technical nature. This double face is emphasized, since foundations of mathematics is an eminent topic in the philosophy of mathematics: hence both sides of this discipline ought to be and are being paid due to.
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