Discrete Mathematics with Applications
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However, the nature of the additive inverse depends on the real number; different real numbers have different additive inverses. Why buy extra books when you can get all the homework help you need in one place? The publisher reserves the right to remove content from this title at any time if subsequent rights restrictions require it. Editorial review has deemed that any suppressed content does not materially affect the overall learning experience. Cengage Learning reserves the right to remove additional content at any time if subsequent rights restrictions require it. Susanna Epp Copyright 2010 Cengage Learning.

Cengage Learning reserves the right to remove additional content at any time if subsequent rights restrictions require it. Preface xvii There are also plenty of exercises without solutions to help students learn to grapple with mathematical problems in a realistic environment. May not be copied, scanned, or duplicated, in whole or in part. Editorial review has deemed that any suppressed content does not materially affect the overall learning experience. Flexible Sections Most sections are divided into subsections so that an instructor who is pressed for time can choose to cover certain subsections only and either omit the rest or leave them for the students to study on their own. Why not just use very distinct names? Renowned for her lucid, accessible prose, Epp explains complex, abstract concepts with clarity and precision.

Many of the changes in this edition have resulted from continuing interaction with students. Cengage Learning reserves the right to remove additional content at any time if subsequent rights restrictions require it. The statement can also be expressed so as to make its universal nature explicit and its conditional nature implicit: For all dogs a, a is a mammal. Designing an algorithm requires an understanding of the mathematics underlying the problem to be solved. This book presents not only the major themes of discrete mathematics, but also the reasoning that underlies mathematical thought. Discrete Structures Discrete mathematical structures are the abstract structures that describe, categorize, and reveal the underlying relationships among discrete mathematical objects.

Nonetheless, I became aware that some students wanted the opportunity to obtain additional helpful materials. Editorial review has deemed that any suppressed content does not materially affect the overall learning experience. Compound Statements We now introduce three symbols that are used to build more complicated logical expressions out of simpler ones. Editorial review has deemed that any suppressed content does not materially affect the overall learning experience. May not be copied, scanned, or duplicated, in whole or in part. It helps students understand and apply the power of discrete math to digital computer systems and other modern applications.

Bookmark it to easily review again before an exam. May not be copied, scanned, or duplicated, in whole or in part. May not be copied, scanned, or duplicated, in whole or in part. Editorial review has deemed that any suppressed content does not materially affect the overall learning experience. Not for sale in the U. The exercises are designed to help you start becoming comfortable in translating from one way to another. Editorial review has deemed that any suppressed content does not materially affect the overall learning experience.

Choose expedited shipping for superfast delivery 2-4 business days. She's better than Rosen, I'll give her that. By combining discussion of theory and practice, I have tried to show that mathematics has engaging and important applications as well as being interesting and beautiful in its own right. Editorial review has deemed that any suppressed content does not materially affect the overall learning experience. If logic is easy or 1 , then 2. Editorial review has deemed that any suppressed content does not materially affect the overall learning experience. This book presents not only the major themes of discrete mathematics, but also the reasoning that underlies mathematical thought.

Editorial review has deemed that any suppressed content does not materially affect the overall learning experience. A perfect metaphor for discrete mathematics! Renowned for her lucid, accessible prose, Epp explains complex, abstract concepts with clarity and precision. Preface xxi Acknowledgments I owe a debt of gratitude to many people at DePaul University for their support and encouragement throughout the years I worked on editions of this book. For example: Every real number has an additive inverse. Cover Photo: The stones are discrete objects placed one on top of another like a chain of careful reasoning.

Or : If an animal is a dog, then the animal is a mammal. Figures and tables are included where doing so would help readers to a better understanding. May not be copied, scanned, or duplicated, in whole or in part. In logical expressions, as in ordinary algebraic expressions, the order of operations can be overridden through the use of parentheses. May not be copied, scanned, or duplicated, in whole or in part. To prove that every object inS satisfies theproperty: 1. Cengage Learning reserves the right to remove additional content at any time if subsequent rights restrictions require it.

Rewrite the following statements less formally, without using variables. Let h be in Example 1. Or : There is a positive integer m that is less than or equal to every positive integer. May not be copied, scanned, or duplicated, in whole or in part. The square of the number is represented by The square of a number is can be converted into an equation as follows:. May not be copied, scanned, or duplicated, in whole or in part.

Our interactive player makes it easy to find solutions to Discrete Mathematics With Applications 4th Edition problems you're working on - just go to the chapter for your book. Think of the chapter like the exercises you would do before an important sporting event. Cengage Learning reserves the right to remove additional content at any time if subsequent rights restrictions require it. The presentation was developed over a long period of experimentation during which my students were in many ways my teachers. The goal of the book is to lay the mathematical foundation for computer science courses such as data structures, algorithms, relational database theory, automata theory and formal languages, compiler design, and cryptography, and for mathematics courses such as linear and abstract algebra, combinatorics, probability, logic and set theory, and number theory. Students are strongly urged not to consult solutions until they have tried their best to answer the questions on their own.