This manual is intended for mathematicians who are fairly well acquainted with Russian and have a need to translate mathematical materials into English. Both of the editors worked extensively with such translations and, in the process of their work, kept records of problems, both grammatical and stylistic, that commonly turned up. The main part of the booklet presents typical examples: first the Russian text is given, then the faulty translation, an acceptable translation, and usually some comments. Although such a manual cannot be exhaustive, it does deal with many common mistakes and misconceptions. The examples are taken from the mathematical literature, making the manual of particular interest to mathematicians; however, it should also be useful to physicists, chemists, engineers, and anyone else concerned with the translation of scientific Russian into English.

This book is a reference for librarians, mathematicians, and statisticians involved in college and research level mathematics and statistics in the 21st century. We are in a time of transition in scholarly communications in mathematics, practices which have changed little for a hundred years are giving way to new modes of accessing information. Where journals, books, indexes and catalogs were once the physical representation of a good mathematics library, shelves have given way to computers, and users are often accessing information from remote places. Part I is a historical survey of the past 15 years tracking this huge transition in scholarly communications in mathematics. Part II of the book is the bibliography of resources recommended to support the disciplines of mathematics and statistics. These are grouped by type of material. Publication dates range from the 1800's onwards. Hundreds of electronic resources-some online, both dynamic and static, some in fixed media, are listed among the paper resources. Amazingly a majority of listed electronic resources are free.

The theory of semigroups is a relatively young branch of mathematics, with most of the major results having appeared after the Second World War. This book describes the evolution of (algebraic) semigroup theory from its earliest origins to the establishment of a full-fledged theory. Semigroup theory might be termed `Cold War mathematics' because of the time during which it developed. There were thriving schools on both sides of the Iron Curtain, although the two sides were not always able to communicate with each other, or even gain access to the other's publications. A major theme of this book is the comparison of the approaches to the subject of mathematicians in East and West, and the study of the extent to which contact between the two sides was possible.

This volume presents a short guide to the extensive literature concerning semir ings along with a complete bibliography. The literature has been created over many years, in variety of languages, by authors representing different schools of mathematics and working in various related fields. In many instances the terminology used is not universal, which further compounds the difficulty of locating pertinent sources even in this age of the Internet and electronic dis semination of research results. So far there has been no single reference that could guide the interested scholar or student to the relevant publications. This book is an attempt to fill this gap. My interest in the theory of semirings began in the early sixties, when to gether with Bogdan W ~glorz I tried to investigate some algebraic aspects of compactifications of topological spaces, semirings of semicontinuous functions, and the general ideal theory for special semirings. (Unfortunately, local alge braists in Poland told me at that time that there was nothing interesting in investigating semiring theory because ring theory was still being developed). However, some time later we became aware of some similar investigations hav ing already been done. The theory of semirings has remained "my first love" ever since, and I have been interested in the results in this field that have been appearing in literature (even though I have not been active in this area myself).

How to Find Out in Mathematics: A Guide to Sources of Information, Second Revised Edition presents updated topics about probability and statistics, dictionaries and encyclopedias, computing, and mathematical education. The book discusses the modifications of the content of professional actuarial examinations; the assimilation of modern mathematics into the school curriculum; and the establishment of government departments to administer financial support for mathematical research. The text also describes the efforts to improve communication between mathematicians (i.e. the inception of the Mathematical Offprint Service and the publication of Contents of Contemporary Mathematical Journals by the American Mathematical Society). People who are studying, teaching, or applying mathematics will find the book helpful.