Product Description: Communities of Learning: Networks and the Shaping of Intellectual Identity in Europe, 1100-1500 explores the fundamental insight that all new ideas are developed in the context of a community, whether academic, religious, or simply as a network of friends...read more

Product Description: Ars musice, composed in Paris during the late thirteenth century, reflects Johannes de Grocheio's awareness of the complexity of the task of describing music. As the editors note in their introduction, Grocheio is aware of the enormous range of types of music performed in different ways in different places...read more

Product Description: Explores the motion of how ideas of number have grown throughout history. Illustrates some of the real problems and subtleties of number, including calculation, measuring, counting, and using machines.

Product Description: This monograph details several important advances in the direction of a practical proofs-as-programs paradigm, which constitutes a set of approaches to developing programs from proofs in constructive logic with applications to industrial-scale, complex software engineering problems...read more

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Product Description: This book presents detailed studies of the development of three kinds of number. In the first part the development of the natural numbers from Stone-Age times right up to the present day is examined not only from the point of view of pure history but also taking into account archaeological, anthropological and linguistic evidence...read more

Product Description: This volume presents a record of mathematical developments in China over a period of more than 2000 years. It goes into greater detail than ever previously available in English. Because the emphasis in Chinese mathematics is on algorithms rather than proofs, readers will find results such as Bezout's theorem and Horner's method appearing in a very different context from the familiar tradition of Euclidean deductive geometry...read more