This Companion Encyclopedia examines the history and philosophy of the mathematical sciences in a cultural context, tracing their evolution from ancient times up to the twentieth century. In 176 articles contributed by authors of 18 nationalities, the work describes and analyses the variety of theories, proofs, and techniques, as well as practical applications, of pure, applied and statistical mathematics. It demonstrates the importance of the subject today, treating its historical interactions with the related disciplines of physics, astronomy, engineering, philosophy and the social sciences. It also covers the history of higher education in mathematics and the growth of institutions and organizations connected with the development of the subject. Special Features * 176 articles contributed by authors of eighteen nationalities * Annotated bibliographies of both classic and contemporary sources * Unique coverage of Ancient and non-Western traditions of mathematics * illustrated with line figures, 47 half-tones and 3 tables * Chronological table of main events in the development of mathematics * Fully integrated index of people, events and topics