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Harmonic Morphisms Between Riemannian Manifolds

Paul Baird and John C. Wood.

March 2003; published online September 2007.

Book. Subjects: pure mathematics. 536 pages.

Harmonic morphisms are maps which preserve Laplace's equation. More explicitly, a map between Riemannian manifolds is called a harmonic morphism if its composition with any locally defined...

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Random Geometric Graphs

Mathew Penrose.

May 2003; published online September 2007.

Book. Subjects: probability and statistics. 344 pages.

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...

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System Control and Rough Paths

Terry Lyons and Zhongmin Qian.

December 2002; published online September 2007.

Book. Subjects: probability and statistics. 226 pages.

Systems evolve and interact, and when they do this in a continuous way, differential equations can be used to provide accurate mathematical models for the interaction or reaction of the...

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Numerical Methods for Delay Differential Equations

Alfredo Bellen and Marino Zennaro.

March 2003; published online September 2007.

Book. Subjects: mathematics. 410 pages.

The main purpose of the book is to introduce the numerical integration of the Cauchy problem for delay differential equations (DDEs) and of the neutral type. Comparisons between DDEs and...

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Numerical Methods for Nonlinear Estimating Equations

Christopher G. Small and Jinfang Wang.

October 2003; published online September 2007.

Book. Subjects: probability and statistics. 322 pages.

Nonlinearity arises in statistical inference in various ways, with varying degrees of severity, as an obstacle to statistical analysis. More entrenched forms of nonlinearity often require...

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The Theory of Infinite Soluble Groups

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

August 2004; published online September 2007.

Book. Subjects: pure mathematics. 458 pages.

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,...

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Gamma-Convergence for Beginners

Andrea Braides.

July 2002; published online September 2007.

Book. Subjects: applied mathematics. 230 pages.

This book introduces the main concepts of the theory of De Giorgi's Gamma-convergence and gives a description of its main applications to the study of asymptotic variational problems. The...

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The History of Mathematical Tables

Edited by Martin Campbell-Kelly, Mary Croarken, Raymond Flood and Eleanor Robson.

October 2003; published online September 2007.

Book. Subjects: history of mathematics. 372 pages.

The oldest known mathematical table was found in the ancient Sumerian city of Shuruppag in southern Iraq. Since then, tables have been an important feature of mathematical activity; table...

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Algebraic and Geometric Surgery

Andrew Ranicki.

September 2002; published online September 2007.

Book. Subjects: geometry. 386 pages.

This book is an introduction to surgery theory, the standard algebraic topology classification method for manifolds of dimension greater than 4. It is aimed at those who have already been...

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Thiele: Pioneer in Statistics

Steffen L. Lauritzen.

October 2002; published online September 2007.

Book. Subjects: probability and statistics. 272 pages.

Thorvald Nicolai Thiele was a brilliant Danish researcher of the 19th century. He was a professor of Astronomy at the University of Copenhagen and the founder of Hafnia, the first Danish...

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