Discrete Mathematics and Its Applications, Seventh Edition, is intended for one or two term introductory Discrete Mathematics courses taken by students from a wide variety of majors, including Computer Science, Mathematics, and Engineering. This renowned best-selling text, which has been used at over 500 institutions around the world, gives a focused introduction to the primary themes in a Discrete Mathematics course and demonstrates the relevance and practicality of Discrete Mathematics to a wide variety of real-world applications—from Computer Science to Data Networking, to Psychology, to Chemistry, to Engineering, to Linguistics, to Biology, to Business, and many other important fields.
Chapter 1: The Foundations: Logic and Proofs
Chapter 2: Basic Structures: Sets, Functions, Sequences, Sums, Matrices
Chapter 3: Algorithms
Chapter 4: Number Theory and Cryptography
Chapter 5: Induction and Recursion
Chapter 6: Counting
Chapter 7: Discrete Probability
Chapter 8: Advanced Counting Techniques
Chapter 9: Relations
Chapter 10: Graphs
Chapter 11: Trees
Chapter 12: Boolean Algebra
Chapter 13: Modeling Computation
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