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Discrete Mathematics with Applications Author: Thomas Koshy Publisher: Academic Press 2003 Pages: 1042 ISBN: 9780124211803 Preface: People often ask: What is discrete mathematics? It's the mathematics of discrete (distinct and disconnected) objects. In other words, it is the study of discrete objects and relationships that bind them. The geometric representations of discrete objects have gaps in them. For example, integers are discrete objects, therefore (elementary) number theory, for instance, is part of discrete mathematics; so are linear algebra and abstract algebra. On the other hand, calculus deals with sets of connected (without any gaps) objects. The set of real numbers and the set of points on a plane are two such sets; they have continuous pictorial representations. Therefore, calculus does not belong to discrete mathematics, but to continuous mathematics. However, calculus is relevant in the study of discrete mathematics. The sets in discrete mathematics are often finite or countable, whereas those in continuous mathematics are often uncountable. Interestingly, an analogous situation exists in the field of computers. Just as mathematics can be divided into discrete and continuous mathematics, computers can be divided into digital and analog. Digital computers process the discrete objects 0 and 1, whereas analog computers process continuous data~that is, data obtained through measurement. Thus the terms discrete and continuous are analogous to the terms digital and analog, respectively. The advent of modern digital computers has increased the need for understanding discrete mathematics. The tools and techniques of discrete mathematics enable us to appreciate the power and beauty of mathematics in designing problem-solving strategies in everyday life, especially in computer science, and to communicate with ease in the language of discrete mathematics. ±¾×ÊÔ´£¬¹²16¸ö¿ÉÑ¡ÍøÂçÓ²ÅÌÁ´½Ó£¬37.3 MB£¬±£ÖÊÆÚ2009-08-01¡£ -------------------------------------------------------------------------------------------------------- Discrete Mathematics with Applications by Thomas Koshy 2003 ISBN_9780124211803.pdf Discrete Mathematics with Applications by Thomas Koshy 2003 ISBN_9780124211803.pdf Discrete Mathematics with Applications by Thomas Koshy 2003 ISBN_9780124211803.pdf Discrete Mathematics with Applications by Thomas Koshy 2003 ISBN_9780124211803.pdf Discrete Mathematics with Applications by Thomas Koshy 2003 ISBN_9780124211803.pdf Discrete Mathematics with Applications by Thomas Koshy 2003 ISBN_9780124211803.pdf Discrete Mathematics with Applications by Thomas Koshy 2003 ISBN_9780124211803.pdf Discrete Mathematics with Applications by Thomas Koshy 2003 ISBN_9780124211803.pdf Discrete Mathematics with Applications by Thomas Koshy 2003 ISBN_9780124211803.pdf Discrete Mathematics_Elementary and Beyond.pdf Discrete Mathematics_Elementary and Beyond.pdf Discrete Mathematics_Elementary and Beyond.pdf Discrete Mathematics_Elementary and Beyond.pdf Discrete Mathematics_Elementary and Beyond.pdf Discrete Mathematics_Elementary and Beyond.pdf Discrete Mathematics_Elementary and Beyond.pdf -------------------------------------------------------------------------------------------------------- [ Last edited by bluesine on 2009-12-8 at 19:13 ] |
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