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Real Analysis

Real Analysis

Fon-Che Liu

Published in print:
2016
Published Online:
January 2017
ISBN:
9780198790426
eISBN:
9780191831676
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198790426.001.0001
Subject:
Mathematics, Analysis

Real analysis in its modern aspect is presented concisely in this text for the beginning graduate student of mathematics and related disciplines to have a solid grounding in the general theory of ... More

Reductive Logic and Proof-searchProof Theory, Semantics, and Control

Reductive Logic and Proof-search: Proof Theory, Semantics, and Control

David J. Pym and Eike Ritter

Published in print:
2004
Published Online:
September 2007
ISBN:
9780198526339
eISBN:
9780191712012
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198526339.001.0001
Subject:
Mathematics, Logic / Computer Science / Mathematical Philosophy

This a research study about logic. Logic is both part of and has roles in many disciplines, including inter alia, mathematics, computing, and philosophy. The topic covered here — the mathematical ... More

Riemann Surfaces

Riemann Surfaces

Simon Donaldson

Published in print:
2011
Published Online:
December 2013
ISBN:
9780198526391
eISBN:
9780191774874
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198526391.001.0001
Subject:
Mathematics, Geometry / Topology, Analysis

The theory of Riemann surfaces occupies a very special place in mathematics. It is a culmination of much of traditional calculus, making surprising connections with geometry and arithmetic. It is an ... More

Sasakian Geometry

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

Set TheoryBoolean-Valued Models and Independence Proofs

Set Theory: Boolean-Valued Models and Independence Proofs

John L. Bell

Published in print:
2005
Published Online:
September 2007
ISBN:
9780198568520
eISBN:
9780191717581
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198568520.001.0001
Subject:
Mathematics, Logic / Computer Science / Mathematical Philosophy

This is the third edition of a well-known graduate textbook on Boolean-valued models of set theory. The aim of the first and second editions was to provide a systematic and adequately motivated ... More

Simplicity Theory

Simplicity Theory

Byunghan Kim

Published in print:
2013
Published Online:
January 2014
ISBN:
9780198567387
eISBN:
9780191746512
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198567387.001.0001
Subject:
Mathematics, Logic / Computer Science / Mathematical Philosophy

This book is about simple first-order theories. The class of simple theories was introduced by S. Shelah in the early 1980s. Then several specific algebraic structures having simple theories have ... More

Smoothing and Decay Estimates for Nonlinear Diffusion EquationsEquations of Porous Medium Type

Smoothing and Decay Estimates for Nonlinear Diffusion Equations: Equations of Porous Medium Type

Juan Luis Vázquez

Published in print:
2006
Published Online:
September 2007
ISBN:
9780199202973
eISBN:
9780191707919
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199202973.001.0001
Subject:
Mathematics, Applied Mathematics

This book is concerned with the quantitative aspects of the theory of nonlinear diffusion equations; equations which can be seen as nonlinear variations of the classical heat equation. They appear as ... More

Spectral/hp Element Methods for Computational Fluid Dynamics

Spectral/hp Element Methods for Computational Fluid Dynamics

George Karniadakis and Spencer Sherwin

Published in print:
2005
Published Online:
September 2007
ISBN:
9780198528692
eISBN:
9780191713491
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198528692.001.0001
Subject:
Mathematics, Numerical Analysis

Spectral methods have long been popular in direct and large eddy simulation of turbulent flows, but their use in areas with complex-geometry computational domains has historically been much more ... More

The Statistical Mechanics of Interacting Walks, Polygons, Animals and Vesicles

The Statistical Mechanics of Interacting Walks, Polygons, Animals and Vesicles

E.J. Janse van Rensburg

Published in print:
2015
Published Online:
August 2015
ISBN:
9780199666577
eISBN:
9780191748653
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199666577.001.0001
Subject:
Mathematics, Mathematical Physics

This book is an account of the theory and mathematical approaches in polymer entropy, with particular emphasis on mathematical approaches to directed and undirected lattice models. Results in the ... More

Statistical ThoughtA Perspective and History

Statistical Thought: A Perspective and History

Shoutir Kishore Chatterjee

Published in print:
2003
Published Online:
September 2007
ISBN:
9780198525318
eISBN:
9780191711657
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198525318.001.0001
Subject:
Mathematics, Probability / Statistics

The book examines the distinguishing features of the various contending approaches to statistical inference (including decision-making) that are currently available in statistical literature, and ... More

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