Author: Colin John BushnellPublisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 334
Book Description
Annals of Mathematics Studies
Author: Colin John BushnellPublisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 334
Book Description
Annals of Mathematics
Author: Automata Studies. (AM-34), Volume 34
Author: C. E. ShannonPublisher: 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.
Transcendental Numbers. (AM-16)
Author: Carl Ludwig SiegelPublisher: 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.
Theory of Formal Systems
Author: Raymond M. SmullyanPublisher: 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.
Functional Integration and Partial Differential Equations. (AM-109), Volume 109
Author: Mark Iosifovich FreidlinPublisher: Princeton University Press
ISBN: 1400881595
Category : Mathematics
Languages : en
Pages : 560
Book Description
This book discusses some aspects of the theory of partial differential equations from the viewpoint of probability theory. It is intended not only for specialists in partial differential equations or probability theory but also for specialists in asymptotic methods and in functional analysis. It is also of interest to physicists who use functional integrals in their research. The work contains results that have not previously appeared in book form, including research contributions of the author.
The Two-Valued Iterative Systems of Mathematical Logic
Author: Emil L. PostPublisher: 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.
The Classifying Spaces for Surgery and Cobordism of Manifolds
Author: Ib MadsenPublisher: Princeton University Press
ISBN: 9780691082264
Category : Mathematics
Languages : en
Pages : 300
Book Description
Beginning with a general discussion of bordism, Professors Madsen and Milgram present the homotopy theory of the surgery classifying spaces and the classifying spaces for the various required bundle theories. The next part covers more recent work on the maps between these spaces and the properties of the PL and Top characteristic classes, and includes integrality theorems for topological and PL manifolds. Later chapters treat the integral cohomology of BPL and Btop. The authors conclude with a discussion of the PL and topological cobordism rings and a construction of the torsion-free generators.
Higher Topos Theory (AM-170)
Author: Jacob LuriePublisher: Princeton University Press
ISBN: 1400830559
Category : Mathematics
Languages : en
Pages : 944
Book Description
Higher category theory is generally regarded as technical and forbidding, but part of it is considerably more tractable: the theory of infinity-categories, higher categories in which all higher morphisms are assumed to be invertible. 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. The result is a powerful theory with applications in many areas of mathematics. The book's first five chapters give an exposition of the theory of infinity-categories that emphasizes their role as a generalization of ordinary categories. Many of the fundamental ideas from classical category theory are generalized to the infinity-categorical setting, such as limits and colimits, adjoint functors, ind-objects and pro-objects, locally accessible and presentable categories, Grothendieck fibrations, presheaves, and Yoneda's lemma. A sixth chapter presents an infinity-categorical version of the theory of Grothendieck topoi, introducing the notion of an infinity-topos, an infinity-category that resembles the infinity-category of topological spaces in the sense that it satisfies certain axioms that codify some of the basic principles of algebraic topology. A seventh and final chapter presents applications that illustrate connections between the theory of higher topoi and ideas from classical topology.
Topics in Harmonic Analysis Related to the Littlewood-Paley Theory. (AM-63), Volume 63
Author: Elias M. SteinPublisher: Princeton University Press
ISBN: 1400881870
Category : Mathematics
Languages : en
Pages : 160
Book Description
This work deals with an extension of the classical Littlewood-Paley theory in the context of symmetric diffusion semigroups. In this general setting there are applications to a variety of problems, such as those arising in the study of the expansions coming from second order elliptic operators. A review of background material in Lie groups and martingale theory is included to make the monograph more accessible to the student.