## Visual Thinking in Mathematics

*Marcus Giaquinto*

- Published in print:
- 2007
- Published Online:
- September 2007
- ISBN:
- 9780199285945
- eISBN:
- 9780191713811
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199285945.001.0001
- Subject:
- Philosophy, Logic/Philosophy of Mathematics

Visual thinking — visual imagination or perception of diagrams and symbol arrays, and mental operations on them — is omnipresent in mathematics. Is this visual thinking merely a psychological aid, ... More

## Sasakian Geometry

*Charles Boyer and Krzysztof Galicki*

- Published in print:
- 2007
- Published Online:
- January 2008
- ISBN:
- 9780198564959
- eISBN:
- 9780191713712
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198564959.001.0001
- Subject:
- Mathematics, Geometry / Topology

Sasakian manifolds were first introduced in 1962. This book's main focus is on the intricate relationship between Sasakian and Kähler geometries, especially when the Kähler structure is that of an ... More

## The Fourth Janko Group

*Alexander A. Ivanov*

- Published in print:
- 2004
- Published Online:
- September 2007
- ISBN:
- 9780198527596
- eISBN:
- 9780191713163
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198527596.001.0001
- Subject:
- Mathematics, Pure Mathematics

This book illustrates how different methods of finite group theory including representation theory, cohomology theory, combinatorial group theory, and local analysis, are combined to construct one of ... More

## Random Geometric Graphs

*Mathew Penrose*

- Published in print:
- 2003
- Published Online:
- September 2007
- ISBN:
- 9780198506263
- eISBN:
- 9780191707858
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198506263.001.0001
- Subject:
- Mathematics, Probability / Statistics

This book sets out a body of rigorous mathematical theory for finite graphs with nodes placed randomly in Euclidean d-space according to a common probability density, and edges added to connect ... More

## The Greate Invention of Algebra: Thomas Harriot's Treatise on equations

*Jacqueline A. Stedall*

- Published in print:
- 2003
- Published Online:
- September 2007
- ISBN:
- 9780198526025
- eISBN:
- 9780191712364
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198526025.001.0001
- Subject:
- Mathematics, History of Mathematics

This book casts new light on the work of Thomas Harriot (c.1560-1621), an innovative thinker and practitioner in several branches of the mathematical sciences, including navigation, astronomy, ... More

## Chern-Simons Theory, Matrix Models, and Topological Strings

*Marcos Mariño*

- Published in print:
- 2005
- Published Online:
- September 2007
- ISBN:
- 9780198568490
- eISBN:
- 9780191717604
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198568490.001.0001
- Subject:
- Physics, Particle Physics / Astrophysics / Cosmology

In recent years, the old idea that gauge theories and string theories are equivalent has been implemented and developed in various ways, and there are by now various models where the string ... More

## New Perspectives in Stochastic Geometry

*Wilfrid S. Kendall and Ilya Molchanov (eds)*

- Published in print:
- 2009
- Published Online:
- February 2010
- ISBN:
- 9780199232574
- eISBN:
- 9780191716393
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199232574.001.0001
- Subject:
- Mathematics, Geometry / Topology

Stochastic geometry is a subject with roots stretching back at least 300 years, but one which has only been formed as an academic area in the last 50 years. It covers the study of random patterns, ... More

## Space, Time, and Stuff

*Frank Arntzenius*

- Published in print:
- 2012
- Published Online:
- May 2012
- ISBN:
- 9780199696604
- eISBN:
- 9780191738333
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199696604.001.0001
- Subject:
- Philosophy, Metaphysics/Epistemology, Philosophy of Science

Much of this book can be seen as an attempt to show that physics is geometry, an attempt to show that the fundamental structure of the physical world is purely geometrical structure. Along the way, ... More

## Time, Space, and Metaphysics

*Bede Rundle*

- Published in print:
- 2009
- Published Online:
- February 2010
- ISBN:
- 9780199575114
- eISBN:
- 9780191722349
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199575114.001.0001
- Subject:
- Philosophy, Metaphysics/Epistemology

This book engages with major philosophical questions concerning time and space — a framework for the investigation being provided by the debate between the absolutists and the relationists, so ... More

## The grid

*Louis A. Girifalco*

### in The Universal Force: Gravity - Creator of Worlds

- Published in print:
- 2007
- Published Online:
- January 2008
- ISBN:
- 9780199228966
- eISBN:
- 9780191711183
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199228966.003.0004
- Subject:
- Physics, History of Physics

Descartes believed he was meant to create the ultimate natural philosophy. He relied primarily on reason and philosophic principles, so most of the physics he developed was wrong. But he was a great ... More

## Cartesian Method and the Problem of Reduction

*Emily R. Grosholz*

- Published in print:
- 1991
- Published Online:
- October 2011
- ISBN:
- 9780198242505
- eISBN:
- 9780191680502
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198242505.001.0001
- Subject:
- Philosophy, History of Philosophy, Logic/Philosophy of Mathematics

Cartesian method, construed as a way of organizing domains of knowledge according to the ‘order of reason’, was a powerful reductive tool. Descartes produced important ... More

## A Subject With No Object: Strategies for Nominalistic Interpretation of Mathematics

*John P. Burgess and Gideon Rosen*

- Published in print:
- 1999
- Published Online:
- November 2003
- ISBN:
- 9780198250128
- eISBN:
- 9780191597138
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/0198250126.001.0001
- Subject:
- Philosophy, Logic/Philosophy of Mathematics

Numbers and other mathematical objects are exceptional in having no locations in space and time and no causes or effects in the physical world. This makes it difficult to account for the possibility ... More

## The Many Facets of Geometry: A Tribute to Nigel Hitchin

*Oscar Garcia-Prada, Jean Pierre Bourguignon, and Simon Salamon (eds)*

- Published in print:
- 2010
- Published Online:
- September 2010
- ISBN:
- 9780199534920
- eISBN:
- 9780191716010
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199534920.001.0001
- Subject:
- Mathematics, Geometry / Topology

Few people have proved more influential in the field of differential and algebraic geometry, and in showing how this links with mathematical physics, than Nigel Hitchin. Oxford University's Savilian ... More

## Logic and Revisability

*Graham Priest*

### in Doubt Truth to be a Liar

- Published in print:
- 2005
- Published Online:
- May 2006
- ISBN:
- 9780199263288
- eISBN:
- 9780191603631
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/0199263280.003.0011
- Subject:
- Philosophy, Logic/Philosophy of Mathematics

This chapter argues that logic is a theory, and can be revised as any other scientific theory. The comparison with geometry is helpful in this regard. It also discusses Quine’s views on the matter, ... More

## The Vocabulary of the Liberal Arts

*Philip Burton*

### in Language in the Confessions of Augustine

- Published in print:
- 2007
- Published Online:
- September 2007
- ISBN:
- 9780199266227
- eISBN:
- 9780191709098
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199266227.003.0003
- Subject:
- Religion, Early Christian Studies

This chapter considers Augustine's use of Greek and Latin terminology in the technical register of the Seven Liberal Arts (grammar, rhetoric, dialect, arithmetic, geometry, music, and philosophy). It ... More

## Quaternionic Kähler and Hyperkähler Manifolds

*Charles P. Boyer and Krzysztof Galicki*

### in Sasakian Geometry

- Published in print:
- 2007
- Published Online:
- January 2008
- ISBN:
- 9780198564959
- eISBN:
- 9780191713712
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198564959.003.0013
- Subject:
- Mathematics, Geometry / Topology

This chapter gives an extensive overview of various quaternionic geometries. The main focus is on positive quaternionic Kähler manifolds (orbifolds) and on hyper Kähler manifolds (orbifolds). Various ... More

## Anomalies in Quantum Field Theory

*Reinhold A. Bertlmann*

- Published in print:
- 2000
- Published Online:
- January 2010
- ISBN:
- 9780198507628
- eISBN:
- 9780191706400
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198507628.001.0001
- Subject:
- Physics, Theoretical, Computational, and Statistical Physics

The anomaly, which forms the central part of this book, is the failure of classical symmetry to survive the process of quantization and regularization. The study of anomalies is the key to a deeper ... More

## Hertz on the Hamilton formalism

*JESPER LÜTZEN*

### in Mechanistic Images in Geometric Form: Heinrich Hertz's 'Principles of Mechanics'

- Published in print:
- 2005
- Published Online:
- January 2010
- ISBN:
- 9780198567370
- eISBN:
- 9780191717925
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198567370.003.0023
- Subject:
- Physics, History of Physics

In the introduction to his book Principles of Mechanics, Heinrich Hertz emphasised that one of the advantages of his geometric formulation of his mechanics is that it throws a bright light upon ... More

## Variable Geometry, Multilevel Governance: European Integration and Subnational Government in the New Millennium

*Mike Goldsmith*

### in The Politics of Europeanization

- Published in print:
- 2003
- Published Online:
- November 2003
- ISBN:
- 9780199252091
- eISBN:
- 9780191599224
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/0199252092.003.0005
- Subject:
- Political Science, European Union

The creation of the European Union, and the associated process of economic, political, and social integration that has accompanied it, has changed the nature of nation state and subnational politics ... More

## From Community to Diverse Union

*Giandomenico Majone*

### in Dilemmas of European Integration: The Ambiguities and Pitfalls of Integration by Stealth

- Published in print:
- 2005
- Published Online:
- February 2006
- ISBN:
- 9780199274307
- eISBN:
- 9780191603310
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/0199274304.003.0001
- Subject:
- Political Science, European Union

Since the Treaty on European Union, it has become clear that the process of European integration moves along several paths, of which the Community path is the best known, but not necessarily the most ... More