» Kemeny J., Snell J., Thompson G. - Introduction to finite mathematics
Kemeny J., Snell J., Thompson G. - Introduction to finite mathematics
||Introduction to finite mathematics
||Kemeny J., Snell J., Thompson G.
||The term Finite Mathematics was first used in the title of the first edition of this book. Since that time it has been generally accepted to describe those topics in modern mathematics that do not depend upon limiting processes, derivatives, or other infinite concepts and that have important real-world applications.
The purpose of the first edition of this book was to introduce college students to the elementary theory of logic, sets, probability theory, and linear algebra and to treat a number of practical applications either from everyday situations or from applications to the biological and social sciences. This central idea has been retained in the third edition of the book; however, experience has shown the desirability of adding additional topics. We have therefore treated the original topics more concisely and added some new subjects and new treatments of old subjects.
The core material of the book consists of the first four chapters. Chapter 1 is a brief introduction to the elementary logic of statements. Chapter 2 contains the basic ideas of the theory of sets and also introduces some fundamental counting techniques. These two chapters constitute a condensed version of the first three chapters of the earlier editions. They contain all the material necessary for the later topics, but some of the more esoteric topics have been eliminated. Chapter 3 is an introduction to finite probability theory and Chapter 4 introduces vectors and matrices and the solution of simultaneous equations. This core material constitutes a self-contained unit which may be used as an introduction to finite mathematics. Or, it may be supplemented in a wide variety of ways by selecting topics from the later chapters. We will discuss several such options presently.
The use of computers was in its infancy when the first edition was published and wide-scale use of time-shared computers for educational pur-
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