This fourth edition contains several additions. The main ones con- cern three closely related topics: Brownian motion, functional limit distributions, and random walks. Besides the power and ingenuity of their methods and the depth and beauty of their results, their importance is fast growing in Analysis as well as in theoretical and applied Proba- bility. These additions increased the book to an unwieldy size and it had to be split into two volumes. About half of the first volume is devoted to an elementary introduc- tion, then to mathematical foundations and basic probability concepts and...

Courant and Friedrich's classical treatise was first published in 1948 and tThe basic research for it took place during World War II. However, many aspects make the book just as interesting as a text and a reference today. It treats the dynamics of compressible fluids in mathematical form, and attempts to present a systematic theory of nonlinear wave propagation, particularly in relation to gas dynamics. Written in the form of an advanced textbook, it should appeal to engineers, physicists and mathematicians alike.

The scattering of acoustic and electromagnetic waves by periodic sur- faces plays a role in many areas of applied physics and engineering. Opti- cal diffraction gratings date from the nineteenth century and are still widely used by spectroscopists. More recently, diffraction gratings have been used as coupling devices for optical waveguides. Trains of surface waves on the oceans are natural diffraction gratings which influence the scattering of electromagnetic waves and underwater sound. Similarly, the surface of a crystal acts as a diffraction grating for the scattering of atomic beams. This...

A linear optimization problem is the task of minimizing a linear real-valued function of finitely many variables subject to linear con- straints; in general there may be infinitely many constraints. This book is devoted to such problems. Their mathematical properties are investi- gated and algorithms for their computational solution are presented. Applications are discussed in detail. Linear optimization problems are encountered in many areas of appli- cations. They have therefore been subject to mathematical analysis for a long time. We mention here only two classical topics from this area:...

This book describes the programming language Modula-2. It is written for people who know the Pascal language and who wish to learn Modula-2 in terms of their knowledge of Pascal. The text is divided into three parts. Part 1 introduces concepts unique to Modula-2 and thus new to Pascal programmers. Part 2 describes differences from Pascal. Part 3 defines modules which provide basic programming facilities. The appendices include a glossary and syntax diagrams. Please note that this book does not offer a complete description of the Modula-2 language; it is intended to complement Niklaus Wirth's...

In the context of interpersonal interaction, it is possible to characterize human beings as complex sources of information. When interacting with one another, people in tentionally, as well as unintentionally, emit cues which other people can use as a basis for generating inferences and forming impressions about them. As a rule, the informa tion that one receives about another person is complex, mutable, and multidimensional. Often, it is contradictory. One of the more enduring lines of investigation in social psychology has been concerned with understanding the processes whereby people mold...

It is Sunday, the 7th of September 1930. The place is Konigsberg and the occasion is a small conference on the foundations of mathematics. Arend Heyting, the foremost disciple of L. E. J. Brouwer, has spoken on intuitionism; Rudolf Carnap of the Vienna Circle has expounded on logicism; Johann (formerly Janos and in a few years to be Johnny) von Neumann has explained Hilbert's proof theory-- the so-called formalism; and Hans Hahn has just propounded his own empiricist views of mathematics. The floor is open for general discussion, in the midst of which Heyting announces his satisfaction with...

It is a pleasure to introduce this special volume of the Industry and Health Care Series. It is special for the best of reasons: it is primarily written by industry representatives. Using the Washing- ton Business Group on Health 1978 Annual Meeting as its starting point, this volume captures the feelings, concerns, and experience of many who are leading industry's increasingly significant presence in health policy and economics. While many of the largest companies achieve more sophisticated levels of involvement, the fact remains that most companies of all sizes and especially the smaller...

Why Math? is designed for a general education mathematics course. It helps develop the basic mathematical literacy now generally demanded of liberal arts students. Requiring only a little background knowledge of algebra and geometry - no more than the minimum entrance requirements at most colleges - the book emphasizes quantitative reasoning and critical thinking for real life problems.In a concrete and relevant way, using extensive motivation from everyday problems, Why Math? shows what one can do with elementary mathematics and how to do it.