The calculus has been one ofthe areas of mathematics with a large number of significant applications since its formal development in the seventeenth century. With the recent development of the digital computer, the range of applications of mathematics, including the calculus, has increased greatly and now includes many disciplines that were formerly thought to be non quantitative. Some of the more traditional applications have been altered, by the presence of a computer, to an extent such that many problems hitherto felt to be intractable are now solvable. This book has been written as a reaction to events that have altered the applications of the calculus. The use of the computer is made possible at an early point, although the extent to which the computer is used in the course is subject to the decision of the instructor. Some less traditional applications are included in order to provide some insight into the breadth of problems that are now susceptible to mathematical solution. The Stieltjes integral is introduced to provide for easier transition from the stated problem to its mathematical formulation, and also to permit the use of functions like step functions in later courses (such as statistics) with relative ease. The course is designed to include all the background material ordinarily associa ted with the first course in the calculus, but it is also designed with the user in mind.

The history of American firearms is inseparable from the history of the United States, for firearms have played crucial roles in the nation's founding, westward expansion, and industrial, economic, and cultural development. This history unfolds in compelling words and images in "A Legacy in Arms," a volume that draws upon the collections of the National Cowboy & Western Heritage Museum in Oklahoma City to trace the business and art of gun making from the early national period to the turn of the twentieth century. With more than 200 images--almost all in full color--"A Legacy in Arms" not only documents the inspiration and innovation of arms makers from individual artisans to mass producers, but also describes the development of decorative expression in the gun maker's art.
In an account both entertaining and enlightening, Richard C. Rattenbury details the development of commercial arms making, from the genesis of the Kentucky rifle to the arms of such iconic manufacturers as Colt, Remington, Smith & Wesson, Sharps, Marlin, and Winchester. Into this narrative he weaves the particulars of design evolution and the impact of mass production via the "American System." The accompanying photographs and illustrations stand as eloquent testimony to the range and richness of the gun maker's craft--and its rightful place in the story of American industry and culture.