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From the Preface: "This book has its origin in a graduate course on averaging theory for porous media flow taught by the first author [William G. Gray] at the University of Notre Dame. During one semester when this course was being offered, the students became fascinated with the manipulations that went into the derivation of appropriate averaging theorems, and the course detoured into a study of the use of generalized functions as tools for the development of a wider range of theorems useful in engineering analysis. The most commonly encountered of these theorems are the transport and divergence theorems used in fluid mechanics, as well as other fields, in the derivation and application of conservation principles. The material in this book goes will beyond these theorems and reflections the authors' belief that these standard theorems, as well as many others that find their utility in the study of the conservation laws, can most easily and effectively be developed in the context of generalized functions."
