Introduction to Finite Mathematics - gebunden oder broschiert

CONTENTS: I Compound statements; II Sets and subsets; III Partitions and counting; IV Probability theory; V Vectors and matrices; VI *Linear programming and the theory of games; VII *Applications to behavioral science problems. EXCERPT: Preface to the second edition - The first edition of this book was published in January, 1957. Since that time we and our colleagues at various institutions have had experience teaching its material to a large number of students. We therefore felt it appropriate that a second edition should be prepared that would reflect the experience we have had. The changes to the basic core (the unasterisked sections) of the book are minor, and involved the rewriting of a few sections and the addition of supplementary exercises. We have also added between ten to fifteen percent of new material, most of it in asterisked (optional) sections. A brief summary of the more important changes is as follows: the section on logical possibilities has been rewritten; a new section on counting techniques has been added; Bayes theorem replaces geometric probabilities; the section on the law of large numbers and central limit theorem has been split in two; the section on linear equations has been rewritten and a flow diagram added; the section on the inverse of a matrix has been rewritten; the material on Markov chains has been expanded; the material on linear programming has been completely rewritten; game theory has had minor rewriting; the section on equivalence classes in communication networks is new; and the section on computer simulation is new. Our objectives in the present edition of the book are the same as for the first edition; namely, to present a course in elementary modern mathematics which can appear early in a student's career. The applications discussed in the course are primarily to the biological and social sciences and hence provide a point of view, other than that given by physics - the application stressed in calculus...