This volume celebrates the anniversary of Professor Johann Radon's publication of the paper on integral transform. It documents the proceedings of the conference at the Erwin Schrodinger International Institute of Mathematical Physics, as well as historical and biographical information.

Seventy-Five Years or Radon Transform: Proceedings of the Conference Held at the Erwin Schrodinger International Institute for Mathematical Physics in ... Physics) (English and German Edition)

Science & Math

Michor, Peter W.

Mathematics

Intl Pr of Boston Inc

In the Spring of 1984, the authors gave a series of lectures in the Institute for Advanced Studies in Princeton. These lectures, which continued throughout the 1984-1985 academic year, are published in this volume. Lectures on Differential Geometry was originally printed in Chinese, and widely circulated in China. This greatly anticipated English translation is an essential reference tool for Differential Geometry. Differential Geometry has progressed rapidly in this century. This book describes the major achievements in this field.

Lectures on Differential Geometry (Conference Proceedings and Lecture Notes in Geometry and Topology)

Schoen, Richard

Yau, Shing-Tung

Geometric Analysis & the Calculus of Variations: For Stefan Hildebrandt

The origins of differential geometry go back to the early days of the differential calculus, when one of the fundamental problems was the determination of the tangent to a curve. With the development of the calculus, additional geometric applications were obtained. The principal contributors in this early period were Leonhard Euler (1707- 1783), GaspardMonge(1746-1818), Joseph Louis Lagrange (1736-1813), and AugustinCauchy (1789-1857). A decisive step forward was taken by Karl FriedrichGauss (1777-1855) with his development of the intrinsic geometryon a surface. This idea of Gauss was generalized to n( &gt; 3)-dimensional spaceby Bernhard Riemann (1826- 1866), thus giving rise to the geometry that bears his name. This book is designed to introduce differential geometry to beginning graduate students as well as advanced undergraduate students (this introduction in the latter case is important for remedying the weakness of geometry in the usual undergraduate curriculum). In the last couple of decades differential geometry, along with other branches of mathematics, has been highly developed. In this book we will study only the traditional topics, namely, curves and surfaces in a three-dimensional Euclidean space E3. Unlike most classical books on the subject, however, more attention is paid here to the relationships between local and global properties, as opposed to local properties only. Although we restrict our attention to curves and surfaces in E3, most global theorems for curves and surfaces in this book can be extended to either higher dimensional spaces or more general curves and surfaces or both. Moreover, geometric interpretations are given along with analytic expressions. This will enable students to make use of geometric intuition, which is a precious tool for studying geometry and related problems; such a tool is seldom encountered in other branches of mathematics.

A First Course in Differential Geometry (Series in Undergraduate Texts)

Hsiung, Chuan-Chih

Proceedings of a conference at the Chinese University of Hong Kong, held in response to Andrew Wile's conjecture that every elliptic curve over Q is modular. The survey article describing Wile's work is included as the first article in the present edition.

Elliptic Curves, Modular Forms, & Fermat's Last Theory: Proceedings of a Conference Held in the Institute of Mathematics of the Chinese University of Hong Kong

VARIOUS

A collection of speeches from a one-day conference in memory of Olga Taussky-Todd held at Caltech in 1996. Additional contributors have added their articles to the volume and a review of Taussky-Todds professional work by H. Kisilevsky has also been included.

Olga Taussky-Todd, in Memoriam

Michael Aschbacher

The Surveys in Differential Geometry are supplements to the Journal of Differential Geometry, which are published by International Press. They include significant invited papers combining original research and overviews of the most current research in specific areas of interest to the growing Journal of Differential Geometry community. The survey volumes serve as continuing references, inspirations for new research, and introductions to the variety of topics of interest to differential geometers. These supplements are published annually since 1999. This volume arises out of the conference sponsored by the Journal of Differential Geometry and held at Harvard University to honor the four mathematicians who founded Index Theory. A large number of geometers gathered for this historic occasion which included numerous tributes and reminiscences which will be published in a separate volume. The four founders of the Index Theory - Michael Atiyah, Raoul Bott, Frederich Hirzebruch, and Isadore Singer - are sources of inspiration, mentors and teachers for the other speakers and participants at the conference. The larger-than-usual size of this volume derives directly from the tremendous respect and admiration for the honorees.  Table of Contents: 1. Projective planes, Severi varieties and spheres - M. Atiyah and J. Berndt 2. Degeneration of Einstein metrics and metrics with special holonomy - J. Cheeger 3. The min-max construction of minimal surfaces - T. H. Colding and C. De Lellis 4. Universal volume bounds in Riemannian manifolds - C. B. Croke and M. Katz 5. A Kawamata-Viehweg vanishing theorem on compact Kahler manifolds - J.-P. Demailly and T. Peternell 6. Moment maps in differential geometry - S. K. Donaldson 7. Local rigidity for cocycles - D. Fisher and G. A. Margulis 8. Einstein metrics, four-manifolds, and differential topology - C. LeBrun 9. Topological quantum field theory for Calabi-Yau threefolds and $G_2$-manifold - N. C. Leung 10. Geometric results in classical minimal surface theory - W. H. Meeks III 11. On global existence of wave maps with critical regularity - A. Nahmod 12. Discreteness of minimal models of Kodaira dimension zero and subvarieties of moduli stacks - E. Viehweg and K. Zuo 13. Geometry of the Weil-Petersson completion of Teichmüller space - S. A. Wolpert

Surveys in Differential Geometry: Papers Dedicated to Atiyah, Bott, Hirzebruch, and Singer (International Press)

Yau, S-T

The Founders of Index Theory: Reminiscences of Atiyah, Bott, Hirzebruch, and Singer

Chaos In Partial Differential Equations (Graduate Series in Analysis)

Li, Y. Charles

Computational conformal geometry is an emerging inter-disciplinary field, with applications to algebraic topology, differential geometry and Riemann surface theories applied to geometric modeling, computer graphics, computer vision, medical imaging, visualization, scientific computation, and many other engineering fields. 
This new volume presents thorough introductions to the theoretical foundations -- as well as to the practical algorithms -- of computational conformal geometry. These have direct applications to engineering and digital geometric processing, including surface parameterization, surface matching, brain mapping, 3-D face recognition and identification, facial expression and animation, dynamic face tracking, mesh-spline conversion, and more.

Computational Conformal Geometry (Advanced Lectures in Mathematics)

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