The first international conference on "Theory and Applications of Moment Methods in Many-Fermion Systems" was held September 10 - 13, 1979 at Iowa State University. Manuscripts of the invited talks presented at this conference are the contents of this volume. These manuscripts were prepared and delivered to the editors by the authors; the responsibility for any errors in scientific con tent is theirs. While we, the editors, have made every effort to keep this volume as free from typographical errors as possible, we accept responsibility for such errors as do occur, even those which may be mistaken for scientific error. All but one of the invited talks given at the conference are reported here; those authors apparently felt unable to provide the editors with manuscripts. The editors. who also served as the organizing committee, would like to express appreciation to the sponsors of this con ference: Physics Department, Ames Laboratory, Energy and Mineral Resources Research Institute, and the Graduate College, all of Iowa State University, the National Science Foundation, and the U. S. Department of Energy. Their generosity both in terms of funding and support made the conference possible. We should also like to express our gratitude to the Interna tional Advisory Committee whose prestige lent support to the con ference and whose advice in topic selection was invaluable. Those members were: Grenoble, France R. Arvieu C. Bender Lawrence Livermore Laboratory J. B. French University of Rochester Fowler California Institute of Technology W.

The Encyclopaedia of Mathematics is the most up-to-date, authoritative and comprehensive English-language work of reference in mathematics which exists today. With over 7,000 articles from `A-integral' to `Zygmund Class of Functions', supplemented with a wealth of complementary information, and an index volume providing thorough cross-referencing of entries of related interest, the Encyclopaedia of Mathematics offers an immediate source of reference to mathematical definitions, concepts, explanations, surveys, examples, terminology and methods. The depth and breadth of content and the straightforward, careful presentation of the information, with the emphasis on accessibility, makes the Encyclopaedia of Mathematics an immensely useful tool for all mathematicians and other scientists who use, or are confronted by, mathematics in their work. The Enclyclopaedia of Mathematics provides, without doubt, a reference source of mathematical knowledge which is unsurpassed in value and usefulness. It can be highly recommended for use in libraries of universities, research institutes, colleges and even schools.

This book a first comprehensive review on statistical spectroscopy deals with two related yet distinct topics a" averages and fluctuations. While fluctuations have been dealt with in considerable detail in Porter's book entitled Statistical Theories of Spectra: Fluctuations and subsequent reviews and books there does not exist at present a similar treatise on averages. This unique volume is designed to fill this significant gap.The book begins with an introductory review and overview of the subject of spectral distributions initiated by J Bruce French in the 60's followed by a collection of original papers which continue to give new insight on average properties of spectra. The purpose is to highlight the considerable advancements made in the application of statistical spectroscopy to nuclear structure and to encourage new directions in random matrix theory many-body chaos and statistical mechanics of finite quantum systems such as nuclei atoms molecules quantum dots etc.Along with Wong's book entitled Nuclear Statistical Spectroscopy this volume would be useful to a reader looking for a thorough introduction to the subject as well as to the specialist contemplating new applications. Finally with most of the material available in one place this book would be ideal in the design of graduate courses in statistical spectroscopy suited to specific needs.