Minimal Surfaces I is an introduction to the field of minimal surfaces and a presentation of the classical theory as well as of parts of the modern development centered around boundary value problems. Part II deals with the boundary behaviour of minimal surfaces. Part I is particularly apt for students who want to enter this interesting area of analysis and differential geometry which during the last 25 years of mathematical research has been very active and productive. Surveys of various subareas will lead the student to the current frontiers of knowledge and can also be useful to the researcher. The lecturer can easily base courses of one or two semesters on differential geometry on Vol. 1, as many topics are worked out in great detail. Numerous computer-generated illustrations of old and new minimal surfaces are included to support intuition and imagination. Part 2 leads the reader up to the regularity theory for nonlinear elliptic boundary value problems illustrated by a particular and fascinating topic. There is no comparably comprehensive treatment of the problem of boundary regularity of minimal surfaces available in book form. This long-awaited book is a timely and welcome addition to the mathematical literature.

In the 19 years which passed since the first edition was published, several important developments have taken place in the theory of surfaces. The most sensational one concerns the differentiable structure of surfaces. Twenty years ago very little was known about differentiable structures on 4-manifolds, but in the meantime Donaldson on the one hand and Seiberg and Witten on the other hand, have found, inspired by gauge theory, totally new invariants. Strikingly, together with the theory explained in this book these invariants yield a wealth of new results about the differentiable structure of algebraic surfaces. Other developments include the systematic use of nef-divisors (in ac cordance with the progress made in the classification of higher dimensional algebraic varieties), a better understanding of Kahler structures on surfaces, and Reider's new approach to adjoint mappings. All these developments have been incorporated in the present edition, though the Donaldson and Seiberg-Witten theory only by way of examples. Of course we use the opportunity to correct some minor mistakes, which we ether have discovered ourselves or which were communicated to us by careful readers to whom we are much obliged.

The Fourth International Conference on the Structure of Surfaces provides a forum for the report of new results and less the review of the status of surface structure and the relationship between surface and interface structure and physical or chemical properties of interest. Also within the scope of the meeting are novel experimental and theoretical approaches for the determination of surface and interface structures, computer simulation of dynamic processes and new developments in instrumentation.

Discover exciting new developments and applications of LEED and X-ray diffraction, alongside detailed introductory material.

Transmission electron microscopy (TEM) is now recognized as a crucial tool in materials science. This book, authored by a team of expert Chinese and international authors, covers many aspects of modern electron microscopy, from the architecture of novel electron microscopes, advanced theories and techniques in TEM and sample preparation, to a variety of hands-on examples of TEM applications. Volume 2 illustrates the important role that TEM is playing in the development and characterization of advanced materials, including nanostructures, interfacial structures, defects, and macromolecular complexes.