## The Theory of Infinite Soluble Groups

*John C. Lennox and Derek J. S. Robinson*

- Published in print:
- 2004
- Published Online:
- September 2007
- ISBN:
- 9780198507284
- eISBN:
- 9780191709326
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198507284.001.0001
- Subject:
- Mathematics, Pure Mathematics

This book provides a comprehensive account of the theory of infinite soluble groups, from its foundations up to research level. Topics covered include: polycyclic groups, Cernikov groups, Mal’cev ... More

## Bayes's Theorem

*Richard Swinburne (ed.)*

- Published in print:
- 2005
- Published Online:
- January 2012
- ISBN:
- 9780197263419
- eISBN:
- 9780191734175
- Item type:
- book

- Publisher:
- British Academy
- DOI:
- 10.5871/bacad/9780197263419.001.0001
- Subject:
- Philosophy, Logic/Philosophy of Mathematics

Bayes' theorem is a tool for assessing how probable evidence makes some hypothesis. The papers in this book consider the worth and applicability of the theorem. The book sets out the philosophical ... More

## Hilbert Modular Forms and Iwasawa Theory

*Haruzo Hida*

- Published in print:
- 2006
- Published Online:
- September 2007
- ISBN:
- 9780198571025
- eISBN:
- 9780191718946
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198571025.001.0001
- Subject:
- Mathematics, Algebra

The 1995 work by Wiles and Taylor-Wiles opened up a whole new technique in algebraic number theory and, a decade on, the waves caused by this incredibly important work are still being felt. This book ... More

## Pascal' Triangle and Catalan Numbers

*Thomas Koshy*

### in Catalan Numbers with Applications

- Published in print:
- 2008
- Published Online:
- January 2009
- ISBN:
- 9780195334548
- eISBN:
- 9780199868766
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780195334548.003.0012
- Subject:
- Mathematics, Combinatorics / Graph Theory / Discrete Mathematics

This chapter shows the various ways Catalan numbers can be extracted from Pascal's triangle. It includes discussion of nonisomorphic groups, Catalan polynomials, Touchard's recursive formula, and ... More

## Traces and Determinants of Pseudodifferential Operators

*Simon Scott*

- Published in print:
- 2010
- Published Online:
- January 2011
- ISBN:
- 9780198568360
- eISBN:
- 9780191594748
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198568360.001.0001
- Subject:
- Mathematics, Analysis

This text provides a broad account of the theory of traces and determinants on geometric algebras of differential and pseudodifferential operators over compact manifolds. Trace and determinant ... More

## Interpolation and Definability: Modal and Intuitionistic Logics

*Dov M. Gabbay and Larisa Maksimova*

- Published in print:
- 2005
- Published Online:
- September 2007
- ISBN:
- 9780198511748
- eISBN:
- 9780191705779
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198511748.001.0001
- Subject:
- Mathematics, Logic / Computer Science / Mathematical Philosophy

This book focuses on interpolation and definability. This notion is not only central in pure logic, but has significant meaning and applicability in all areas where logic itself is applied, ... More

## The Structure of Models of Peano Arithmetic

*Roman Kossak and James Schmerl*

- Published in print:
- 2006
- Published Online:
- September 2007
- ISBN:
- 9780198568278
- eISBN:
- 9780191718199
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198568278.001.0001
- Subject:
- Mathematics, Logic / Computer Science / Mathematical Philosophy

This book gives an account of the present state of research on lattices of elementary substructures and automorphisms of nonstandard models of arithmetic. Major representation theorems are proved, ... More

## *AN INTRODUCTION TO THE LOCALIZATION METHOD OF Γ-CONVERGENCE

*Andrea Braides*

### in Gamma-Convergence for Beginners

- Published in print:
- 2002
- Published Online:
- September 2007
- ISBN:
- 9780198507840
- eISBN:
- 9780191709890
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198507840.003.0017
- Subject:
- Mathematics, Applied Mathematics

This chapter provides an introduction to the localization method of Gamma-convergence. It presents a brief account of the localization methods of Gamma-convergence that allows for the proof of ... More

## An Introduction to Auction Theory

*Flavio M. Menezes and Paulo K. Monteiro*

- Published in print:
- 2004
- Published Online:
- April 2005
- ISBN:
- 9780199275984
- eISBN:
- 9780191602214
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/019927598X.001.0001
- Subject:
- Economics and Finance, Microeconomics

This book presents an in-depth discussion of the auction theory. It introduces the concept of Bayesian Nash equilibrium and the idea of studying auctions as games. Private, common, and affiliated ... More

## Quantum Optics

*John Garrison and Raymond Chiao*

- Published in print:
- 2008
- Published Online:
- September 2008
- ISBN:
- 9780198508861
- eISBN:
- 9780191708640
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198508861.001.0001
- Subject:
- Physics, Atomic, Laser, and Optical Physics

Quantum optics is the field of physics describing the interaction of individual photons with matter, but in recent years it has expanded beyond pure physics to become an important driving force for ... More

## The Metaphysics of Hyperspace

*Hud Hudson*

- Published in print:
- 2005
- Published Online:
- January 2009
- ISBN:
- 9780199282579
- eISBN:
- 9780191712463
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199282579.001.0001
- Subject:
- Philosophy, Metaphysics/Epistemology

This collection of chapters on metaphysics and philosophy of religion is organized around the theme of hyperspace. The book contains critical discussions and evaluations of some non-theistic reasons ... More

## Likelihood-Based Inference in Cointegrated Vector Autoregressive Models

*Søren Johansen*

- Published in print:
- 1995
- Published Online:
- November 2003
- ISBN:
- 9780198774501
- eISBN:
- 9780191596476
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/0198774508.001.0001
- Subject:
- Economics and Finance, Econometrics

This monograph is concerned with the statistical analysis of multivariate systems of non‐stationary time series of type I(1). It applies the concepts of cointegration and common trends in the ... More

## Repeated Games and Reputations: Long-Run Relationships

*George J. Mailath and Larry Samuelson*

- Published in print:
- 2006
- Published Online:
- January 2007
- ISBN:
- 9780195300796
- eISBN:
- 9780199783700
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780195300796.001.0001
- Subject:
- Economics and Finance, Behavioural Economics

This book begins with a careful development of fundamental concepts, including the notions of a repeated game, strategy, and equilibrium. It synthesizes and unifies the vast body of work in repeated ... More

## The Folk Theorem with Perfect Monitoring

*George J. Mailath and Larry Samuelson*

### in Repeated Games and Reputations: Long-Run Relationships

- Published in print:
- 2006
- Published Online:
- January 2007
- ISBN:
- 9780195300796
- eISBN:
- 9780199783700
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780195300796.003.0003
- Subject:
- Economics and Finance, Behavioural Economics

This chapter presents and proves the folk theorem for games of perfect monitoring. The chapter first proves the folk theorem for two players with public correlation and pure-action individual ... More

## Variations on the Game

*George J. Mailath and Larry Samuelson*

### in Repeated Games and Reputations: Long-Run Relationships

- Published in print:
- 2006
- Published Online:
- January 2007
- ISBN:
- 9780195300796
- eISBN:
- 9780199783700
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780195300796.003.0005
- Subject:
- Economics and Finance, Behavioural Economics

This chapter explores variations on the standard repeated game: random matching games and repeated games played in the context of a market or society, multiple repeated games, repeated extensive form ... More

## The Basic Structure of Repeated Games with Imperfect Public Monitoring

*George J. Mailath and Larry Samuelson*

### in Repeated Games and Reputations: Long-Run Relationships

- Published in print:
- 2006
- Published Online:
- January 2007
- ISBN:
- 9780195300796
- eISBN:
- 9780199783700
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780195300796.003.0007
- Subject:
- Economics and Finance, Behavioural Economics

This chapter provides the basic technical tools for working with games of imperfect public monitoring, with games of perfect monitoring as a special case. It introduces the central notions of a ... More

## The Folk Theorem with Imperfect Public Monitoring

*George J. Mailath and Larry Samuelson*

### in Repeated Games and Reputations: Long-Run Relationships

- Published in print:
- 2006
- Published Online:
- January 2007
- ISBN:
- 9780195300796
- eISBN:
- 9780199783700
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780195300796.003.0009
- Subject:
- Economics and Finance, Behavioural Economics

This chapter shows that in many situations with patient players, the payoffs bounds from Chapter 8 are tight. It then proves various folk theorems for games of public monitoring, including games with ... More

## Almost Public Monitoring Games

*George J. Mailath and Larry Samuelson*

### in Repeated Games and Reputations: Long-Run Relationships

- Published in print:
- 2006
- Published Online:
- January 2007
- ISBN:
- 9780195300796
- eISBN:
- 9780199783700
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780195300796.003.0013
- Subject:
- Economics and Finance, Behavioural Economics

This chapter provides a detailed treatment of work on games with almost-public monitoring. The chapter introduces the key distinction between strategies with bounded and unbounded recall, showing ... More

## Gödel’s incompleteness theorems, free will and mathematical thought

*SOLOMON FEFERMAN*

### in Free Will and Modern Science

- Published in print:
- 2011
- Published Online:
- January 2013
- ISBN:
- 9780197264898
- eISBN:
- 9780191754074
- Item type:
- chapter

- Publisher:
- British Academy
- DOI:
- 10.5871/bacad/9780197264898.003.0007
- Subject:
- Philosophy, Philosophy of Mind

The determinism-free will debate is perhaps as old as philosophy itself and has been engaged in from a great variety of points of view including those of scientific, theological, and logical ... More

## Globalization and All That

*Abhijit Vinayak Banerjee*

### in Understanding Poverty

- Published in print:
- 2006
- Published Online:
- September 2006
- ISBN:
- 9780195305197
- eISBN:
- 9780199783519
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/0195305191.003.0006
- Subject:
- Economics and Finance, Development, Growth, and Environmental

This essay begins with a discussion of the Samuelson-Stolper Theorem, which states that if a labor-abundant country is opened to trade with a labor-scarce country, laborers in the first country and ... More