Advances in Computers

"This comprehensive reference work provides immediate, fingertip access to state-of-the-art technology in nearly 700 self-contained articles written by over 900 international authorities. Each article in the Encyclopedia features current developments and trends in computers, software, vendors, and applications...extensive bibliographies of leading figures in the field, such as Samuel Alexander, John von Neumann, and Norbert Wiener...and in-depth analysis of future directions."

Algorithms for Computer Algebra is the first comprehensive textbook to be published on the topic of computational symbolic mathematics. The book first develops the foundational material from modern algebra that is required for subsequent topics. It then presents a thorough development of modern computational algorithms for such problems as multivariate polynomial arithmetic and greatest common divisor calculations, factorization of multivariate polynomials, symbolic solution of linear and polynomial systems of equations, and analytic integration of elementary functions. Numerous examples are integrated into the text as an aid to understanding the mathematical development. The algorithms developed for each topic are presented in a Pascal-like computer language. An extensive set of exercises is presented at the end of each chapter. Algorithms for Computer Algebra is suitable for use as a textbook for a course on algebraic algorithms at the third-year, fourth-year, or graduate level. Although the mathematical development uses concepts from modern algebra, the book is self-contained in the sense that a one-term undergraduate course introducing students to rings and fields is the only prerequisite assumed. The book also serves well as a supplementary textbook for a traditional modern algebra course, by presenting concrete applications to motivate the understanding of the theory of rings and fields.

First published in 1985. This book was created due to involvement of the authors to develop a course to enhance thinking skills. A main aim of which was to determine what is known about the teaching of thinking from current research literature and from the results of efforts to develop cognitive enhancement programs. The primary focus is on intentional, purposeful, goal-oriented thinking-thinking, if you will, for the express purpose of realizing some specific objective.

In this monograph Nicholas Georgalis further develops his important work on minimal content, recasting and providing novel solutions to several of the fundamental problems faced by philosophers of language. His theory defends and explicates the importance of ‘thought-tokens’ and minimal content and their many-to-one relation to linguistic meaning, challenging both ‘externalist’ accounts of thought and the solutions to philosophical problems of language they inspire. The concepts of idiolect, use, and statement made are critically discussed, and a classification of kinds of utterances is developed to facilitate the latter. This is an important text for those interested in current theories and debates on philosophy of mind, philosophy of language, and their points of intersection.