People often ask: What is discrete mathematics? 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.

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People often ask: What is discrete mathematics? 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.

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.

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## Discrete mathematics with applications

With an OverDrive account, you can save your favorite libraries for at-a-glance information about availability. Discrete Mathematics with Applications by Thomas Koshy ebook. Discrete Mathematics with Applications Thomas Koshy Elsevier It helps students understand and apply the power of discrete math to digital computer systems and other modern applications. This group can be lumped in with the Quadrant Is: Showing of 2 reviews. Some of the material is fairly easy, but other parts are pretty challenging: Amazon Drive Cloud storage from Amazon. The application focus would please the Quadrant IIs more, though.

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## Discrete Mathematics with Applications

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## 【分享】[PDF]Discrete Mathematics with Applications, Thomas Koshy 2003[无重复]

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## Number Theory & Discrete Mathematics

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