Since the pioneering text Introduction to Finite Mathematics, by Kemeny,
Snell, and Thompson appeared in 1957, finite mathematics has established deep roots in the undergraduate mathematics curriculum. In fact, courses in finite mathematics are offered by most colleges and universities, and hundreds of texts on the subject have been written. Over the years, the emphasis in some of the standard material has shifted, and new topics have been added. A major change from classical to modern applied topics occurred with the introduction of the text For All Practical Purposes in 1988. FAPP included such topics as Euler and Hamiltonian circuits, planning and scheduling, voting systems, fair division and apportionment, and statistical inference. Clones of FAPP soon appeared, and for a time two distinct types of texts – classical and modern – were in use. In our experience, students with relatively strong math backgrounds felt more comfortable with the classical, more formal, texts, and those with weaker backgrounds have preferred the modern, less formal, approach. Also, many instructors have shown strong preferences for one type of text over the other. Recently, texts have appeared that blend the classical and modern topics, and this type now seems to be the trend. Our book, Beginning Finite Mathematics, follows this trend Major topics covered include linear and exponential growth (including financial mathematics), probability, descriptive and inferential statistics, graphs and networks, voting systems, geometry, and linear programming. The coverage of geometry varies considerably in today’s texts, but since many students now entering college do not have a firm grasp of basic notions regarding shape and measurement, due in large part to a de-emphasis of classical Euclidean geometry in the schools, we develop geometric topics in a traditional manner, emphasizing moderately rigorous proofs along with straight-edge and compass constructions.
The positive qualities that distinguish Schaum’s Outline Series have been incorporated in Beginning Finite Mathematics. Each chapter begins with a clear statement of pertinent definitions, principles, and theorems, together with illustrative and other descriptive material. This is followed by graded sets of solved and supplementary problems. The solved problems serve to illustrate and amplify the theory, bring into sharp focus the fine points whose understanding is needed to build confidence, and provide the emphasis on basic principles vital to effective learning. Proofs of theorems and derivations of basic results are included among the solved problems.
The supplementary problems serve as a complete review of the material in each chapter.
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