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.
Annals of Mathematics Studies
Author: Elias M. Stein
Publisher:
ISBN:
Category : Harmonic analysis
Languages : en
Pages : 450
Book Description
Publisher:
ISBN:
Category : Harmonic analysis
Languages : en
Pages : 450
Book Description
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.
Morse Theory. (AM-51), Volume 51
Author: John Milnor
Publisher: Princeton University Press
ISBN: 1400881803
Category : Mathematics
Languages : en
Pages : 163
Book Description
One of the most cited books in mathematics, John Milnor's exposition of Morse theory has been the most important book on the subject for more than forty years. Morse theory was developed in the 1920s by mathematician Marston Morse. (Morse was on the faculty of the Institute for Advanced Study, and Princeton published his Topological Methods in the Theory of Functions of a Complex Variable in the Annals of Mathematics Studies series in 1947.) One classical application of Morse theory includes the attempt to understand, with only limited information, the large-scale structure of an object. This kind of problem occurs in mathematical physics, dynamic systems, and mechanical engineering. Morse theory has received much attention in the last two decades as a result of a famous paper in which theoretical physicist Edward Witten relates Morse theory to quantum field theory. Milnor was awarded the Fields Medal (the mathematical equivalent of a Nobel Prize) in 1962 for his work in differential topology. He has since received the National Medal of Science (1967) and the Steele Prize from the American Mathematical Society twice (1982 and 2004) in recognition of his explanations of mathematical concepts across a wide range of scienti.c disciplines. The citation reads, "The phrase sublime elegance is rarely associated with mathematical exposition, but it applies to all of Milnor's writings. Reading his books, one is struck with the ease with which the subject is unfolding and it only becomes apparent after re.ection that this ease is the mark of a master.? Milnor has published five books with Princeton University Press.
Publisher: Princeton University Press
ISBN: 1400881803
Category : Mathematics
Languages : en
Pages : 163
Book Description
One of the most cited books in mathematics, John Milnor's exposition of Morse theory has been the most important book on the subject for more than forty years. Morse theory was developed in the 1920s by mathematician Marston Morse. (Morse was on the faculty of the Institute for Advanced Study, and Princeton published his Topological Methods in the Theory of Functions of a Complex Variable in the Annals of Mathematics Studies series in 1947.) One classical application of Morse theory includes the attempt to understand, with only limited information, the large-scale structure of an object. This kind of problem occurs in mathematical physics, dynamic systems, and mechanical engineering. Morse theory has received much attention in the last two decades as a result of a famous paper in which theoretical physicist Edward Witten relates Morse theory to quantum field theory. Milnor was awarded the Fields Medal (the mathematical equivalent of a Nobel Prize) in 1962 for his work in differential topology. He has since received the National Medal of Science (1967) and the Steele Prize from the American Mathematical Society twice (1982 and 2004) in recognition of his explanations of mathematical concepts across a wide range of scienti.c disciplines. The citation reads, "The phrase sublime elegance is rarely associated with mathematical exposition, but it applies to all of Milnor's writings. Reading his books, one is struck with the ease with which the subject is unfolding and it only becomes apparent after re.ection that this ease is the mark of a master.? Milnor has published five books with Princeton University Press.
Transcendental Numbers. (AM-16)
Author: Carl Ludwig Siegel
Publisher: Princeton University Press
ISBN: 1400882354
Category : Mathematics
Languages : en
Pages : 102
Book Description
The description for this book, Transcendental Numbers. (AM-16), will be forthcoming.
Publisher: Princeton University Press
ISBN: 1400882354
Category : Mathematics
Languages : en
Pages : 102
Book Description
The description for this book, Transcendental Numbers. (AM-16), will be forthcoming.
Automata Studies. (AM-34), Volume 34
Author: C. E. Shannon
Publisher: Princeton University Press
ISBN: 1400882613
Category : Computers
Languages : en
Pages : 285
Book Description
The description for this book, Automata Studies. (AM-34), Volume 34, will be forthcoming.
Publisher: Princeton University Press
ISBN: 1400882613
Category : Computers
Languages : en
Pages : 285
Book Description
The description for this book, Automata Studies. (AM-34), Volume 34, will be forthcoming.
Advances in Game Theory. (AM-52), Volume 52
Author: Melvin Dresher
Publisher: Princeton University Press
ISBN: 140088201X
Category : Mathematics
Languages : en
Pages : 691
Book Description
The description for this book, Advances in Game Theory. (AM-52), Volume 52, will be forthcoming.
Publisher: Princeton University Press
ISBN: 140088201X
Category : Mathematics
Languages : en
Pages : 691
Book Description
The description for this book, Advances in Game Theory. (AM-52), Volume 52, will be forthcoming.
Annals of Mathematics Studies
Author: Kai Lai Chung
Publisher:
ISBN: 9780691080758
Category : Markov processes
Languages : en
Pages : 94
Book Description
Publisher:
ISBN: 9780691080758
Category : Markov processes
Languages : en
Pages : 94
Book Description
Triangulated Categories
Author: Amnon Neeman
Publisher: Princeton University Press
ISBN: 9780691086866
Category : Mathematics
Languages : en
Pages : 468
Book Description
The first two chapters of this book offer a modern, self-contained exposition of the elementary theory of triangulated categories and their quotients. The simple, elegant presentation of these known results makes these chapters eminently suitable as a text for graduate students. The remainder of the book is devoted to new research, providing, among other material, some remarkable improvements on Brown's classical representability theorem. In addition, the author introduces a class of triangulated categories"--the "well generated triangulated categories"--and studies their properties. This exercise is particularly worthwhile in that many examples of triangulated categories are well generated, and the book proves several powerful theorems for this broad class. These chapters will interest researchers in the fields of algebra, algebraic geometry, homotopy theory, and mathematical physics.
Publisher: Princeton University Press
ISBN: 9780691086866
Category : Mathematics
Languages : en
Pages : 468
Book Description
The first two chapters of this book offer a modern, self-contained exposition of the elementary theory of triangulated categories and their quotients. The simple, elegant presentation of these known results makes these chapters eminently suitable as a text for graduate students. The remainder of the book is devoted to new research, providing, among other material, some remarkable improvements on Brown's classical representability theorem. In addition, the author introduces a class of triangulated categories"--the "well generated triangulated categories"--and studies their properties. This exercise is particularly worthwhile in that many examples of triangulated categories are well generated, and the book proves several powerful theorems for this broad class. These chapters will interest researchers in the fields of algebra, algebraic geometry, homotopy theory, and mathematical physics.
Annals of Mathematics Studies
Author: Jürgen Moser
Publisher:
ISBN: 9780691081328
Category : Celestial mechanics
Languages : en
Pages : 198
Book Description
Publisher:
ISBN: 9780691081328
Category : Celestial mechanics
Languages : en
Pages : 198
Book Description