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Degrees of Unsolvability. (AM-55), Volume 55

Degrees of Unsolvability. (AM-55), Volume 55
Author: Gerald E. Sacks
Publisher: Princeton University Press
Total Pages: 192
Release: 2016-03-02
Genre: Mathematics
ISBN: 1400881846

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The description for this book, Degrees of Unsolvability. (AM-55), Volume 55, will be forthcoming.


Degrees of Unsolvability

Degrees of Unsolvability
Author: Gerald E. Sacks
Publisher: Princeton University Press
Total Pages: 192
Release: 1966
Genre: Mathematics
ISBN: 9780691079417

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A classic treatment of degrees of unsolvability from the acclaimed Annals of Mathematics Studies series Princeton University Press is proud to have published the Annals of Mathematics Studies since 1940. One of the oldest and most respected series in science publishing, it has included many of the most important and influential mathematical works of the twentieth century. The series continues this tradition as Princeton University Press publishes the major works of the twenty-first century. To mark the continued success of the series, all books are available in paperback and as ebooks.


The Once and Future Turing

The Once and Future Turing
Author: S. Barry Cooper
Publisher: Cambridge University Press
Total Pages: 398
Release: 2016-03-24
Genre: Mathematics
ISBN: 131658917X

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Alan Turing (1912–1954) made seminal contributions to mathematical logic, computation, computer science, artificial intelligence, cryptography and theoretical biology. In this volume, outstanding scientific thinkers take a fresh look at the great range of Turing's contributions, on how the subjects have developed since his time, and how they might develop still further. The contributors include Martin Davis, J. M. E. Hyland, Andrew R. Booker, Ueli Maurer, Kanti V. Mardia, S. Barry Cooper, Stephen Wolfram, Christof Teuscher, Douglas Richard Hofstadter, Philip K. Maini, Thomas E. Woolley, Eamonn A. Gaffney, Ruth E. Baker, Richard Gordon, Stuart Kauffman, Scott Aaronson, Solomon Feferman, P. D. Welch and Roger Penrose. These specially commissioned essays will provoke and engross the reader who wishes to understand better the lasting significance of one of the twentieth century's deepest thinkers.


Handbook of Mathematical Logic

Handbook of Mathematical Logic
Author: J. Barwise
Publisher: Elsevier
Total Pages: 1164
Release: 1982-03-01
Genre: Computers
ISBN: 0080933645

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The handbook is divided into four parts: model theory, set theory, recursion theory and proof theory. Each of the four parts begins with a short guide to the chapters that follow. Each chapter is written for non-specialists in the field in question. Mathematicians will find that this book provides them with a unique opportunity to apprise themselves of developments in areas other than their own.


Handbook of Computability Theory

Handbook of Computability Theory
Author: E.R. Griffor
Publisher: Elsevier
Total Pages: 741
Release: 1999-10-01
Genre: Mathematics
ISBN: 0080533043

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The chapters of this volume all have their own level of presentation. The topics have been chosen based on the active research interest associated with them. Since the interest in some topics is older than that in others, some presentations contain fundamental definitions and basic results while others relate very little of the elementary theory behind them and aim directly toward an exposition of advanced results. Presentations of the latter sort are in some cases restricted to a short survey of recent results (due to the complexity of the methods and proofs themselves). Hence the variation in level of presentation from chapter to chapter only reflects the conceptual situation itself. One example of this is the collective efforts to develop an acceptable theory of computation on the real numbers. The last two decades has seen at least two new definitions of effective operations on the real numbers.


Provability, Computability and Reflection

Provability, Computability and Reflection
Author: Lev D. Beklemishev
Publisher: Elsevier
Total Pages: 297
Release: 2000-04-01
Genre: Mathematics
ISBN: 9780080957692

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Provability, Computability and Reflection


Continuous Model Theory. (AM-58), Volume 58

Continuous Model Theory. (AM-58), Volume 58
Author: Chen Chung Chang
Publisher: Princeton University Press
Total Pages: 165
Release: 2016-03-02
Genre: Mathematics
ISBN: 1400882052

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This is a study of the theory of models with truth values in a compact Hausdorff topological space.


Topology Seminar Wisconsin, 1965. (AM-60), Volume 60

Topology Seminar Wisconsin, 1965. (AM-60), Volume 60
Author: R. H. Bing
Publisher: Princeton University Press
Total Pages: 256
Release: 2016-03-02
Genre: Mathematics
ISBN: 1400882079

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During the summer of 1965, an informal seminar in geometric topology was held at the University of Wisconsin under the direction of Professor Bing. Twenty-five of these lectures are included in this study, among them Professor Bing's lecture describing the recent attacks of Haken and Poincaré on the Poincaré conjectures, and sketching a proof of Haken's main result.


Seminar on Atiyah-Singer Index Theorem. (AM-57), Volume 57

Seminar on Atiyah-Singer Index Theorem. (AM-57), Volume 57
Author: Richard S. Palais
Publisher: Princeton University Press
Total Pages: 376
Release: 2016-03-02
Genre: Mathematics
ISBN: 1400882044

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The description for this book, Seminar on Atiyah-Singer Index Theorem. (AM-57), Volume 57, will be forthcoming.


Lectures on Curves on an Algebraic Surface. (AM-59), Volume 59

Lectures on Curves on an Algebraic Surface. (AM-59), Volume 59
Author: David Mumford
Publisher: Princeton University Press
Total Pages: 212
Release: 2016-03-02
Genre: Mathematics
ISBN: 1400882060

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These lectures, delivered by Professor Mumford at Harvard in 1963-1964, are devoted to a study of properties of families of algebraic curves, on a non-singular projective algebraic curve defined over an algebraically closed field of arbitrary characteristic. The methods and techniques of Grothendieck, which have so changed the character of algebraic geometry in recent years, are used systematically throughout. Thus the classical material is presented from a new viewpoint.