Publication Details
Clothbound. 347 pages.
ISBN: 978-1-57146-211-4
Release date: 31 December 2011
Gauge theory in higher dimensions, II (Simon Donaldson and Ed Segal)
An invitation to toric degenerations (Mark Gross and Bernd Siebert)
Lectures on generalized geometry (Nigel Hitchin)
Generalized Donaldson-Thomas invariants (Dominic Joyce)
Geometric structures on Riemannian manifolds (Naichung Conan Leung)
Sasaki-Einstein manifolds (James Sparks)
A survey of geometric structure in geometric analysis (Shing-Tung Yau)
View front-matter (PDF)
Each invited contributor is a prominent specialist in the field of algebraic geometry, mathematical physics, or related areas. Contributors to Surveys tend to transcend classical frameworks within their field.
Once every three years, Lehigh University and Harvard University, in conjunction with the editors of the JDG, sponsor a conference whose purpose is to survey the general field of differential geometry and related subjects. Speakers at the conference are likewise selected for their prominence in a given field and for their innovative contributions to it. Hence every third volume of Surveys is a publication of those presented talks.
Advanced Lectures in Mathematics, Vol. 19
Softcover. 557 pages. With four pages of color photographs.
ISBN: 978-1-57146-229-9
Release date: 31 December 2011
Throughout his career, Stephen Kudla has done significant work in the fields of representation theory, automorphic forms, number theory, and arithmetic geometry.
In this Festschrift volume celebrating Kudla's sixtieth birthday, we present papers from many of the students, collaborators, and colleagues that were influenced by him. The papers in this volume, taken together, give the reader a sense of the current state of the several fields to which Kudla has contributed over the years, and suggest new avenues of future exploration.
CM Values of Automorphic Green Functions on Orthogonal Groups over Totally Real Fields (Jan H. Bruinier and Tonghai Yang)
Some Generalized Functionals and Their Bessel Functions (James W. Cogdell and Freydoon Shahidi)
Spectacle Cycles with Coefficients and Modular Forms of Half-integral Weight (Jens Funke and John Millson)
A Regularized Siegel-Weil Formula for Exceptional Groups (Wee Teck Gan)
L-functions for Symplectic Groups Using Fourier-Jacobi Models (David Ginzburg, Dihua Jiang, Stephen Rallis, and David Soudry)
An Exercise in Automorphic Cohomology ? the Case GL2 over a Quaternion Algebra (Neven Grbac and Joachim Schwermer)
On the Hilbert Polynomials and Hilbert Series of Homogeneous Projective Varieties (Benedict H. Gross and Nolan R. Wallach)
Theta Correspondences for Close Unitary Groups (Michael Harris, Jian-Shu Li, and Binyong Sun )
Deforming Endomorphisms of Supersingular Barsotti-Tate Groups (Benjamin Howard)
Singular Moduli Refined (Benjamin Howard and Tonghai Yang)
Sup-norm Bounds for Automorphic Forms and Eisenstein Series (Jay Jorgenson and Jurg Kramer)
Conjecture d'Adams pour la correspondance de Howe et filtration de Kudla (Colette Moeglin)
On the Number of Local Newforms in a Metaplectic Representation (Brooks Roberts and Ralf Schmidt)
Le foncteur de Colmez pour GL(2, F) (Marie-France Vigneras)
About the Series
Advanced Lectures in Mathematics, Vol. 20
Softcover. 546 pages. With eight pages of color photographs.
ISBN: 978-1-57146-230-5
Release date: 31 December 2011
This volume presents twenty-three selected survey articles on central topics of geometric analysis and general relativity, written by prominent experts in the fields. Topics of geometric analysis include: the Yamabe problem, mean curvature flow, minimal surfaces, harmonic maps, Ricci flow, gluing and desingularization constructions, function theory, collapsing of manifolds, Kahler-Einstein metrics, asymptotic geometry of complete manifolds, and the geometry of Teichmuller spaces. General relativity topics include: the positive mass theorem, the Penrose inequality, scalar curvature and Einstein's constraint equations, quasi-local mass functionals, the topology of higher dimensional black holes, and the positive mass theorem for asymptotically hyperbolic manifolds.
This volume is dedicated to Richard Schoen in honor of his contributions to both geometric analysis and general relativity. It is intended for both researchers and graduate students working in those fields.
On the Positive Mass, Penrose, and ZAS Inequalities in General Dimension (Hubert L. Bray)
Recent Progress on the Yamabe Problem (Simon Brendle, Fernando C. Marques)
Some Recent Progress on Mean Curvature Flow for Entire Lagrangian Graphs (Jingyi Chen)
Radial Viewpoint on Minimal Surfaces (Jaigyoung Choe)
Minimal Surfaces and Mean Curvature Flow (Tobias H. Colding, William P. Minicozzi II)
Scalar Curvature and the Einstein Constraint Equations (Justin Corvino, Daniel Pollack)
On the Intrinsic Differentiability Theorem of Gromov-Schoen (Georgios Daskalopoulos, Chikako Mese)
Minimal Surface Techniques in Riemannian Geometry (Ailana Fraser)
Stability and Rigidity of Extremal Surfaces in Riemannian Geometry and General Relativity (Gregory J. Galloway)
Convex Hypersurfaces of Constant Curvature in Hyperbolic Space (Bo Guan, Joel Spruck)
Ricci Flow in Two Dimensions (James Isenberg, Rafe Mazzeo, Natasa Sesum)
Doubling and Desingularization Constructions for Minimal Surfaces (Nikolaos Kapouleas)
The Metric Properties of Lagrangians (Yng-Ing Lee)
Structure of Complete Manifolds with Positive Spectrum (Peter Li)
Topology of Sobolev Mappings and Associated Variational Problems (Fang Hua Lin)
A Survey of Research on Boundary Behavior of Compact Manifolds via the Positive Mass Theorem (Pengzi Miao)
Recent Progress on Singularities of Lagrangian Mean Curvature Flow (Andre Neves)
Geometric Structures of Collapsing Riemannian Manifolds I (Aaron Naber, Gang Tian)
Deformation of Kahler-Einstein Metrics (Xiaofeng Sun, Shing-Tung Yau)
Reverse Bubbling in Geometric Flows (Peter M. Topping)
Review on Harmonic Diffeomorphisms Between Complete Noncompact Surfaces (Tom Y. H. Wan)
Compactifications of Complete Riemannian Manifolds and Their Applications (Xiaodong Wang)
Some Aspects of Weil-Petersson Geometry of Teichm?ller Spaces (Sumio Yamada)
ISBN: 978-0-470-77081-8
Hardcover
296 pages
April 2012
In the real world, there are numerous and various events that occur on and alongside networks, including the occurrence of traffic accidents on highways, the location of stores alongside roads, the incidence of crime on streets and the contamination along rivers. In order to carry out analyses of those events, the researcher needs to be familiar with a range of specific techniques. Spatial Analysis Along Networks provides a practical guide to the necessary statistical techniques and their computational implementation.
Each chapter illustrates a specific technique, from Stochastic Point Processes on a Network and Network Voronoi Diagrams, to Network K-function and Point Density Estimation Methods, and the Network Huff Model. The authors also discuss and illustrate the undertaking of the statistical tests described in a Geographical Information System (GIS) environment as well as demonstrating the user-friendly free software package SANET.
Spatial Analysis Along Networks:
*Presents a much-needed practical guide to statistical spatial analysis of events on and alongside a network, in a logical, user-friendly order.
*Introduces the preliminary methods involved, before detailing the advanced, computational methods, enabling the readers a complete understanding of the advanced topics.
*Dedicates a separate chapter to each of the major techniques involved.
*Demonstrates the practicalities of undertaking the tests described in the book, using a GIS.
*Is supported by a supplementary website, providing readers with a link to the free software package SANET, so they can execute the statistical methods described in the book.
Students and researchers studying spatial statistics, spatial analysis, geography, GIS, OR, traffic accident analysis, criminology, retail marketing, facility management and ecology will benefit from this book.
400 pages | 234x156mm
978-0-19-965560-1 | Hardback | August 2012 (estimated)
First critical edition of the original Arabic text with a new English translation
The Epistles is a classic work of medieval Islamic learning
Includes a comprehensive Introduction, which explores the historical and cultural context of the work
Bilingual format presents Arabic and English text within the same volume -- ideal for non-native Arabic speakers
The Ikhwan al-Safa' (Brethren of Purity), the anonymous adepts of a tenth-century esoteric fraternity based in Basra and Baghdad, hold an eminent position in the history of science and philosophy in Islam due to the wide reception and assimilation of their monumental encyclopaedia, the Rasa 'il Ikhwan al-Safa' (Epistles of the Brethren of Purity). The fifty-two epistles offer synoptic accounts of the classical sciences of the age, treating themes in mathematics, logic, natural philosophy, psychology, metaphysics, and theology, in addition to didactic fables. The Rasa 'il constitutes a paradigmatic legacy in the canonization of philosophy and the sciences in mediaeval Islamic civilization, and has also shown a permeating influence in Western culture.
This volume is the fifth of the series, consisting of the first critical edition of the Rasa 'il in its original Arabic, complete with the fully annotated English translation. Prepared by Dr Nader El-Bizri, Epistles 1 and 2 (on arithmetic and geometry) present technical and epistemic analyses of mathematical concepts and their metaphysical underpinnings, in terms of investigating the properties of numbers and of geometric magnitudes, based primarily on the traditions of Nicomachus of Geresa and of Euclid as interpreted by the Ikhwan. With a Pythagorean construal of the ultimate principles of mathematics within the symbolic order of mysticism, and inspired by their own ontological outlook on the articles of faith in Islam, the Ikhwan view arithmetic and geometry through a monotheistic spiritual lens. This informed their treatment of mathematical knowledge, in pedagogic and heuristic terms, as part of the essential disciplines of the quadrivium, which aimed at preparing novices to study logic, then sciences of nature and the soul, before graduating to the lofty topics of theology and metaphysics. The volume also provides an overview of the mathematical sciences within the Islamic intellectual milieu, and of the tenth-century urban culture of Mesopotamian and Syrian locales.
Readership: Students and scholars of philosophy, history of science, Islamic studies, history of ideas in Mediaeval Islamic civilization, classics, and theology.
Acknowledgements
Foreword
Introduction
Technical Introduction
Epistle 1: On Arithmetic
Epistle 2: On Geometry
Bibliography
Index
Rasa'il 1-2 (Arabic Text & Variants)
Arabic Index