Geometry from the Pacific Rim


Book Description

The series is aimed specifically at publishing peer reviewed reviews and contributions presented at workshops and conferences. Each volume is associated with a particular conference, symposium or workshop. These events cover various topics within pure and applied mathematics and provide up-to-date coverage of new developments, methods and applications.




The Third Pacific Rim Geometry Conference


Book Description

Based on a conference sponsored by the Global Analysis Research Center, the Topology and Geometry Research Center, the Korea Science and Engineering Foundation and the Korean Mathematical Society.










Pacific Rim Objective Measurement Symposium (PROMS) 2012 Conference Proceeding


Book Description

Entrusted by the Board of Management of the Pacific Rim Objective Measurement Symposium (PROMS), PROMS2012 is held in Jiaxing, China from August 6-9, 2012. Over the past years, PROMS has been hosted in many parts of the Pacific Rim, in Singapore, Malaysia, Hong Kong, Taiwan and Tokyo, which has greatly promoted the research of and contributed to the development of Rasch Model in one way or another. As early as in 1980s, the ideas and concepts regarding IRT was first introduced into China by Prof. Gui Shichun, my Ph.D supervisor, and it is Prof. Gui who first conducted with great success the ten-year long (1990-1999) Equating Project for Matriculation English Test (MET) in China. MET is the most influential entrance examination for higher education administered annually to over 3.3 million candidates then. The Equating Project won recognition by Charles Alderson and other foreign counterparts during 1990s. Academically, those were Good Old Days for Chinese testing experts and psychometricians. Then for certain reasons, the equating practice abruptly discontinued. Therefore, in China nowadays, the application of IRT-based software like BILOG, Parscale, Iteman 4 and others to real testing problem solving is confined to an extremely small 'band' of people. In this sense, PROMS2012 meets an important need in that it provides an excellent introduction of IRT and its application. And anyone who is seriously interested in research and development in the field of psychometrics or language testing will find such a symposium and related workshops to be an excellent source of information about the application of Rasch Model. PROMS2012 focuses on recent advances in objective measurement and provides an international forum on both the latest research in using Rasch measurement and non-Rasch practice.




Geometry, Algebra and Applications: From Mechanics to Cryptography


Book Description

This volume collects contributions written by different experts in honor of Prof. Jaime Muñoz Masqué. It covers a wide variety of research topics, from differential geometry to algebra, but particularly focuses on the geometric formulation of variational calculus; geometric mechanics and field theories; symmetries and conservation laws of differential equations, and pseudo-Riemannian geometry of homogeneous spaces. It also discusses algebraic applications to cryptography and number theory. It offers state-of-the-art contributions in the context of current research trends. The final result is a challenging panoramic view of connecting problems that initially appear distant.




Explorations in Complex and Riemannian Geometry


Book Description

This book contains contributions by an impressive list of leading mathematicians. The articles include high-level survey and research papers exploring contemporary issues in geometric analysis, differential geometry, and several complex variables. Many of the articles will provide graduate students with a good entry point into important areas of modern research. The material is intended for researchers and graduate students interested in several complex variables and complex geometry.




Bridging Algebra, Geometry, and Topology


Book Description

Algebra, geometry and topology cover a variety of different, but intimately related research fields in modern mathematics. This book focuses on specific aspects of this interaction. The present volume contains refereed papers which were presented at the International Conference “Experimental and Theoretical Methods in Algebra, Geometry and Topology”, held in Eforie Nord (near Constanta), Romania, during 20-25 June 2013. The conference was devoted to the 60th anniversary of the distinguished Romanian mathematicians Alexandru Dimca and Ştefan Papadima. The selected papers consist of original research work and a survey paper. They are intended for a large audience, including researchers and graduate students interested in algebraic geometry, combinatorics, topology, hyperplane arrangements and commutative algebra. The papers are written by well-known experts from different fields of mathematics, affiliated to universities from all over the word, they cover a broad range of topics and explore the research frontiers of a wide variety of contemporary problems of modern mathematics.







Geometry V


Book Description

Few people outside of mathematics are aware of the varieties of mathemat ical experience - the degree to which different mathematical subjects have different and distinctive flavors, often attractive to some mathematicians and repellant to others. The particular flavor of the subject of minimal surfaces seems to lie in a combination of the concreteness of the objects being studied, their origin and relation to the physical world, and the way they lie at the intersection of so many different parts of mathematics. In the past fifteen years a new component has been added: the availability of computer graphics to provide illustrations that are both mathematically instructive and esthetically pleas ing. During the course of the twentieth century, two major thrusts have played a seminal role in the evolution of minimal surface theory. The first is the work on the Plateau Problem, whose initial phase culminated in the solution for which Jesse Douglas was awarded one of the first two Fields Medals in 1936. (The other Fields Medal that year went to Lars V. Ahlfors for his contributions to complex analysis, including his important new insights in Nevanlinna Theory.) The second was the innovative approach to partial differential equations by Serge Bernstein, which led to the celebrated Bernstein's Theorem, stating that the only solution to the minimal surface equation over the whole plane is the trivial solution: a linear function.