Author: Raymond M. Smullyan
Publisher: Princeton University Press
ISBN: 9780691080475
Category : Mathematics
Languages : en
Pages : 160
Book Description
This book serves both as a completely self-contained introduction and as an exposition of new results in the field of recursive function theory and its application to formal systems.
Theory of Formal Systems
Author: Raymond M. Smullyan
Publisher: Princeton University Press
ISBN: 9780691080475
Category : Mathematics
Languages : en
Pages : 160
Book Description
This book serves both as a completely self-contained introduction and as an exposition of new results in the field of recursive function theory and its application to formal systems.
Publisher: Princeton University Press
ISBN: 9780691080475
Category : Mathematics
Languages : en
Pages : 160
Book Description
This book serves both as a completely self-contained introduction and as an exposition of new results in the field of recursive function theory and its application to formal systems.
Lectures on the Theory of Games (AM-37)
Author: Harold W. Kuhn
Publisher: Princeton University Press
ISBN: 1400829569
Category : Mathematics
Languages : en
Pages : 118
Book Description
This book is a spectacular introduction to the modern mathematical discipline known as the Theory of Games. Harold Kuhn first presented these lectures at Princeton University in 1952. They succinctly convey the essence of the theory, in part through the prism of the most exciting developments at its frontiers half a century ago. Kuhn devotes considerable space to topics that, while not strictly the subject matter of game theory, are firmly bound to it. These are taken mainly from the geometry of convex sets and the theory of probability distributions. The book opens by addressing "matrix games," a name first introduced in these lectures as an abbreviation for two-person, zero-sum games in normal form with a finite number of pure strategies. It continues with a treatment of games in extensive form, using a model introduced by the author in 1950 that quickly supplanted von Neumann and Morgenstern's cumbersome approach. A final section deals with games that have an infinite number of pure strategies for the two players. Throughout, the theory is generously illustrated with examples, and exercises test the reader's understanding. A historical note caps off each chapter. For readers familiar with the calculus and with elementary matrix theory or vector analysis, this book offers an indispensable store of vital insights on a subject whose importance has only grown with the years.
Publisher: Princeton University Press
ISBN: 1400829569
Category : Mathematics
Languages : en
Pages : 118
Book Description
This book is a spectacular introduction to the modern mathematical discipline known as the Theory of Games. Harold Kuhn first presented these lectures at Princeton University in 1952. They succinctly convey the essence of the theory, in part through the prism of the most exciting developments at its frontiers half a century ago. Kuhn devotes considerable space to topics that, while not strictly the subject matter of game theory, are firmly bound to it. These are taken mainly from the geometry of convex sets and the theory of probability distributions. The book opens by addressing "matrix games," a name first introduced in these lectures as an abbreviation for two-person, zero-sum games in normal form with a finite number of pure strategies. It continues with a treatment of games in extensive form, using a model introduced by the author in 1950 that quickly supplanted von Neumann and Morgenstern's cumbersome approach. A final section deals with games that have an infinite number of pure strategies for the two players. Throughout, the theory is generously illustrated with examples, and exercises test the reader's understanding. A historical note caps off each chapter. For readers familiar with the calculus and with elementary matrix theory or vector analysis, this book offers an indispensable store of vital insights on a subject whose importance has only grown with the years.
Higher Topos Theory
Author: Jacob Lurie
Publisher: Princeton University Press
ISBN: 0691140480
Category : Mathematics
Languages : en
Pages : 944
Book Description
In 'Higher Topos Theory', Jacob Lurie presents the foundations of this theory using the language of weak Kan complexes introduced by Boardman and Vogt, and shows how existing theorems in algebraic topology can be reformulated and generalized in the theory's new language.
Publisher: Princeton University Press
ISBN: 0691140480
Category : Mathematics
Languages : en
Pages : 944
Book Description
In 'Higher Topos Theory', Jacob Lurie presents the foundations of this theory using the language of weak Kan complexes introduced by Boardman and Vogt, and shows how existing theorems in algebraic topology can be reformulated and generalized in the theory's new language.
Annals of Mathematics Studies
Author: Kevin Walker
Publisher:
ISBN:
Category : Invariants
Languages : en
Pages : 152
Book Description
Publisher:
ISBN:
Category : Invariants
Languages : en
Pages : 152
Book Description
Seminar on the Atiyah-Singer Index Theorem
Author: Michael Francis Atiyah
Publisher: Princeton University Press
ISBN: 9780691080314
Category : Mathematics
Languages : en
Pages : 384
Book Description
A classic treatment of the Atiyah-Singer index theorem 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.
Publisher: Princeton University Press
ISBN: 9780691080314
Category : Mathematics
Languages : en
Pages : 384
Book Description
A classic treatment of the Atiyah-Singer index theorem 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 Two-Valued Iterative Systems of Mathematical Logic
Author: Emil L. Post
Publisher: Princeton University Press
ISBN: 9780691095707
Category : Mathematics
Languages : en
Pages : 136
Book Description
The description for this book, The Two-Valued Iterative Systems of Mathematical Logic. (AM-5), Volume 5, will be forthcoming.
Publisher: Princeton University Press
ISBN: 9780691095707
Category : Mathematics
Languages : en
Pages : 136
Book Description
The description for this book, The Two-Valued Iterative Systems of Mathematical Logic. (AM-5), Volume 5, will be forthcoming.
Automata Studies
Author: C. E. Shannon
Publisher: Princeton University Press
ISBN: 1400882613
Category : Computers
Languages : en
Pages : 297
Book Description
A classic contribution to automata studies 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.
Publisher: Princeton University Press
ISBN: 1400882613
Category : Computers
Languages : en
Pages : 297
Book Description
A classic contribution to automata studies 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.
Advances in Game Theory
Author: Melvin Dresher
Publisher: Princeton University Press
ISBN: 140088201X
Category : Mathematics
Languages : en
Pages : 693
Book Description
A classic treatment of game theory 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.
Publisher: Princeton University Press
ISBN: 140088201X
Category : Mathematics
Languages : en
Pages : 693
Book Description
A classic treatment of game theory 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.
Cycles, Transfers, and Motivic Homology Theories. (AM-143)
Author: Vladimir Voevodsky
Publisher: Princeton University Press
ISBN: 0691048150
Category : Mathematics
Languages : en
Pages : 262
Book Description
The original goal that ultimately led to this volume was the construction of "motivic cohomology theory," whose existence was conjectured by A. Beilinson and S. Lichtenbaum. This is achieved in the book's fourth paper, using results of the other papers whose additional role is to contribute to our understanding of various properties of algebraic cycles. The material presented provides the foundations for the recent proof of the celebrated "Milnor Conjecture" by Vladimir Voevodsky. The theory of sheaves of relative cycles is developed in the first paper of this volume. The theory of presheaves with transfers and more specifically homotopy invariant presheaves with transfers is the main theme of the second paper. The Friedlander-Lawson moving lemma for families of algebraic cycles appears in the third paper in which a bivariant theory called bivariant cycle cohomology is constructed. The fifth and last paper in the volume gives a proof of the fact that bivariant cycle cohomology groups are canonically isomorphic (in appropriate cases) to Bloch's higher Chow groups, thereby providing a link between the authors' theory and Bloch's original approach to motivic (co-)homology.
Publisher: Princeton University Press
ISBN: 0691048150
Category : Mathematics
Languages : en
Pages : 262
Book Description
The original goal that ultimately led to this volume was the construction of "motivic cohomology theory," whose existence was conjectured by A. Beilinson and S. Lichtenbaum. This is achieved in the book's fourth paper, using results of the other papers whose additional role is to contribute to our understanding of various properties of algebraic cycles. The material presented provides the foundations for the recent proof of the celebrated "Milnor Conjecture" by Vladimir Voevodsky. The theory of sheaves of relative cycles is developed in the first paper of this volume. The theory of presheaves with transfers and more specifically homotopy invariant presheaves with transfers is the main theme of the second paper. The Friedlander-Lawson moving lemma for families of algebraic cycles appears in the third paper in which a bivariant theory called bivariant cycle cohomology is constructed. The fifth and last paper in the volume gives a proof of the fact that bivariant cycle cohomology groups are canonically isomorphic (in appropriate cases) to Bloch's higher Chow groups, thereby providing a link between the authors' theory and Bloch's original approach to motivic (co-)homology.
Transcendental Numbers
Author: Carl Ludwig Siegel
Publisher: Princeton University Press
ISBN: 1400882354
Category : Mathematics
Languages : en
Pages : 116
Book Description
Carl Ludwig Siegel’s classic treatment of transcendental numbers 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.
Publisher: Princeton University Press
ISBN: 1400882354
Category : Mathematics
Languages : en
Pages : 116
Book Description
Carl Ludwig Siegel’s classic treatment of transcendental numbers 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.