An increasing number of computer scientists from diverse areas are using discrete mathematical structures to explain concepts and problems. Based on their teaching experiences, the authors offer an accessible text that emphasizes the fundamentals of discrete mathematics and its advanced topics. This text shows how to express precise ideas in clear mathematical language. Students discover the importance of discrete mathematics in describing computer science structures and problem solving. They also learn how mastering discrete mathematics will help them develop important reasoning skills that will continue to be useful throughout their careers.
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Gary Haggard is Professor of Computer Science at Bucknell University. His research in data structures focuses on the implementation of effective algorithms for computing invariants for large combinatorial structures such as graphs. Dr. Haggard¿s current work is directed towards finding chromatic polynomials of large graphs.Review:
1. SETS, PROOF TEMPLATES, AND INDUCTION. Basic Definitions. Exercises. Operations on Sets. Exercises. The Principle of Inclusion-Exclusion. Exercises. Mathematical Induction. Program Correctness. Exercises. Strong Form of Mathematical Induction. Exercises. Chapter Review. 2. FORMAL LOGIC. Introduction to Propositional Logic. Exercises. Truth and Logical Truth. Exercises. Normal Forms. Exercises. Predicates and Quantification. Exercises. Chapter Review. 3. RELATIONS. Binary Relations. Operations on Binary Relations. Exercises. Special Types of Relations. Exercises. Equivalence Relations. Exercises. Ordering Relations. Exercises. Relational Databases: An Introduction. Exercises. Chapter Review. 4. FUNCTIONS. Basic Definitions. Exercises. Operations on Functions. Sequences and Subsequences. Exercises. The Pigeon-Hole Principle. Exercises. Countable and Uncountable Sets. Exercises. Chapter Review. 5. ANALYSIS OF ALGORITHMS. Comparing Growth Rates of Functions. Exercises. Complexity of Programs. Exercises. Uncomputability. Chapter Review. 6. GRAPH THEORY. Introduction to Graph Theory. The Handshaking Problem. Paths and Cycles. Graph Isomorphism. Representation of Graphs. Exercises. Connected Graphs. The Konigsberg Bridge Problem. Exercises. Trees. Spanning Trees. Rooted Trees. Exercises. Directed Graphs. Applications: Scheduling a Meeting Facility. Finding a Cycle in a Directed Graph. Priority in Scheduling. Connectivity in Directed Graphs. Eulerian Circuits in Directed Graphs. Exercises. Chapter Review. 7. COUNTING AND COMBINATORICS. Traveling Salesperson. Counting Principles. Set Decomposition Principle. Exercises. Permutations and Combinations. Constructing the kth Permutation. Exercises. Counting with Repeated Objects. Combinatorial Identities. Pascal?s Triangle. Exercises. Chapter Review. 8. DISCRETE PROBABILITY. Ideas of Chance in Computer Science. Exercises. Cross Product Sample Spaces. Exercises. Independent Events and Conditional Probability. Exercises. Discrete Random Variables. Exercises. Variance, Standard Deviation, and the Law of Averages. Exercises. Chapter Review. 9. RECURRENCE RELATIONS. The Tower of Hanoi Problem. Solving First-Order Recurrence Relations. Exercises. Second-Order Recurrence Relations. Exercises. Divide-and-Conquer Paradigm. Binary Search. Merge Sort. Multiplication of n-Bit Numbers. Divide-and-Conquer Recurrence Relations. Exercises. Chapter Review.
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Descrizione libro Soft cover. Condizione libro: New. NEW - International Edition - ISBN 9788131501214 - Same Contents as in US edition - in english - 1ed - - SHRINKwrapped BOXpacked - Printed in Asia - Cover image is different from US edition - There is no CD or Access Code, unless specified above - Ships from various locations - Expedited 2 to 4 day Delivery option available -Standard shipping takes 5 to 10 business days - Tracking number is emailed for every order -You get same study contents at a fraction of US edition cost - Save Hard earned money. Codice libro della libreria L60
Descrizione libro Cengage Learning, 2005. Hardcover. Condizione libro: New. Never used!. Codice libro della libreria P11053449501X
Descrizione libro Cengage Learning. Hardcover. Condizione libro: New. 053449501X Brand new book. International Edition. Ship from multiple locations. 3-5 business days Express Delivery to USA/UK/Europe/Asia/Worldwide. Tracking number will be provided. Satisfaction guaranteed. Codice libro della libreria SKU001422
Descrizione libro Florence, Kentucky, U.S.A.: Brooks/Cole Pub Co, 2005. Hardcover. Condizione libro: New. Ship out 1-2 business day,Brand new,US edition, Free tracking number usually 2-4 biz days delivery to worldwide Same shipping fee with US, Canada,Europe country, Australia, item will ship out from either LA or Asia, ha. Codice libro della libreria ABE-5852529222
Descrizione libro International Edition. Paperback. Condizione libro: New. International Edition. Very fast shipping. Receive your book in 2-7 business days if you checkout with expedited shipping. We take pride in our customer service, please contact us if you have any questions regarding the listing. Codice libro della libreria in-us-9780534495015