Product Description: There is more than one way to think. Most people are familiar with the systematic, rule-based thinking that one finds in a mathematical proof or a computer program. But such thinking does not produce breakthroughs in mathematics and science nor is it the kind of thinking that results in significant learning...read more

This CD-ROM shows how to systematically incorporate the principles of water conservation, recycling, and reuse into the design of new plants, retrofits of existing systems, and technology development. Technology summaries and case studies that support this systematic approach to water reuse, as well as recommendations for further research, are included. Included in the price of this CD-ROM is an additional chapter, available in December 2002, detailing water reuse opportunities by industry. The chapter will address the general uses of water in industry, their associated energy costs, and energy management as related to water use and water use reduction.

Product Description: Byers' poems look into the face of facts, experience, and desire, but don't flinch. Continue, they say, continue to love, to hope, to seek, but know there is a price.

To many outsiders, mathematicians appear to think like computers, grimly grinding away with a strict formal logic and moving methodically--even algorithmically--from one black-and-white deduction to another. Yet mathematicians often describe their most important breakthroughs as creative, intuitive responses to ambiguity, contradiction, and paradox. A unique examination of this less-familiar aspect of mathematics, How Mathematicians Think reveals that mathematics is a profoundly creative activity and not just a body of formalized rules and results. Nonlogical qualities, William Byers shows, play an essential role in mathematics. Ambiguities, contradictions, and paradoxes can arise when ideas developed in different contexts come into contact. Uncertainties and conflicts do not impede but rather spur the development of mathematics. Creativity often means bringing apparently incompatible perspectives together as complementary aspects of a new, more subtle theory. The secret of mathematics is not to be found only in its logical structure. The creative dimensions of mathematical work have great implications for our notions of mathematical and scientific truth, and How Mathematicians Think provides a novel approach to many fundamental questions. Is mathematics objectively true? Is it discovered or invented? And is there such a thing as a "final" scientific theory? Ultimately, How Mathematicians Think shows that the nature of mathematical thinking can teach us a great deal about the human condition itself.