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Computability in Analysis and Physics
The first graduate-level treatment of computable analysis within the tradition of classical mathematical reasoning.
SOFSEM 2000: Theory and Practice of Informatics
This book constitutes the refereed proceedings of the 27th Conference on Current Trends in Theory and Practice of Informatics, SOFSEM 2000, held in Milovy, Czech Republic in November/December 2000. The 16 invited papers and 18 contributed papers selected from 36 submissions were carefully selected in order to provide representative coverage of the three tracks: trends in algorithms, information technologies and practice, and computational perception.
Reverse Mathematics 2001
Reverse Mathematics is a program of research in the foundations of mathematics, motivated by the foundational questions of what are appropriate axioms for mathematics, and what are the logical strengths of particular axioms and particular theorems. The book contains 24 original papers by leading researchers. These articles exhibit the exciting rece
Reverse Mathematics 2001
Since their inception, the Perspectives in Logic and Lecture Notes in Logic series have published seminal works by leading logicians. Many of the original books in the series have been unavailable for years, but they are now in print once again. Reverse mathematics is a program of research in the foundations of mathematics, motivated by two foundational questions: 'what are appropriate axioms for mathematics?' and 'what are the logical strengths of particular axioms and particular theorems?' This volume, the twenty-first publication in the Lecture Notes in Logic series, contains twenty-four original research papers from respected authors that present exciting new developments in reverse mathematics and subsystems of second order arithmetic since 1998.
Computability and Complexity in Analysis
The workshop on Computability and Complexity in Analysis, CCA 2000, was hosted by the Department of Computer Science of the University of Wales Swansea, September 17{19, 2000. It was the fourth workshop in a successful series of workshops: CCA’95 in Hagen, Germany, CCA’96 in Trier, Germany, and CCA’98 in Brno, Czech Republic. About 40 participants from the countries United Kingdom, Germany, Japan, Italy, Russia, France, Denmark, Greece, and Ireland contributed to the success of this meeting. Altogether, 28 talkswere p- sented in Swansea. These proceedings include 23 papers which represent a cro- section through recent research on computability and complexity in analysis. The workshop s...
Kurt Gödel
Kurt Gödel (1906–1978) did groundbreaking work that transformed logic and other important aspects of our understanding of mathematics, especially his proof of the incompleteness of formalized arithmetic. This book on different aspects of his work and on subjects in which his ideas have contemporary resonance includes papers from a May 2006 symposium celebrating Gödel's centennial as well as papers from a 2004 symposium. Proof theory, set theory, philosophy of mathematics, and the editing of Gödel's writings are among the topics covered. Several chapters discuss his intellectual development and his relation to predecessors and contemporaries such as Hilbert, Carnap, and Herbrand. Others consider his views on justification in set theory in light of more recent work and contemporary echoes of his incompleteness theorems and the concept of constructible sets.
SOFSEM '97: Theory and Practice of Informatics
This book constitutes the refereed proceedings of the 24th Seminar on Current Trends in Theory and Practice of Informatics, SOFSEM'97, held in Milovy, Czech Republic, in November 1997. SOFSEM is special in being a mix of a winter school, an international conference, and an advanced workshop meeting the demand for ongoing education in the area of computer science. The volume presents 22 invited contributions by leading experts together with 24 revised contributed papers selected from 63 submissions. The invited presentations are organized in topical sections on foundations, distributed and parallel computing, software engineering and methodology, and databases and information systems.
Computability Theory and Its Applications
This collection of articles presents a snapshot of the status of computability theory at the end of the millennium and a list of fruitful directions for future research. The papers represent the works of experts in the field who were invited speakers at the AMS-IMS-SIAM 1999 Summer Conference on Computability Theory and Applications, which focused on open problems in computability theory and on some related areas in which the ideas, methods, and/or results of computability theory play a role. Some presentations are narrowly focused; others cover a wider area. Topics included from "pure" computability theory are the computably enumerable degrees (M. Lerman), the computably enumerable sets (P....
Numerical Analysis meets Machine Learning
Numerical Analysis Meets Machine Learning series, highlights new advances in the field, with this new volume presenting interesting chapters. Each chapter is written by an international board of authors. - Provides the authority and expertise of leading contributors from an international board of authors - Presents the latest release in the Handbook of Numerical Analysis series - Updated release includes the latest information on the Numerical Analysis Meets Machine Learning
