TY - BOOK AU - Fortney,Jon Pierre TI - Discrete mathematics for computer science: an example-based introduction SN - 9780367549886 U1 - 004.0151 PY - 2021/// CY - Boca Raton PB - CRC Press KW - Computer science KW - Mathematics N1 - Includes index; TOC; CHAPTER 1: Introduction to Algorithms 1.1. WHAT ARE ALGORITHMS? 1.2. CONTROL STRUCTURES 1.3. TRACING AN ALGORITHM 1.4. ALGORITHM EXAMPLES 1.5. PROBLEMS CHAPTER 2: Number Representations 2.1. WHOLE NUMBERS 2.2. FRACTIONAL NUMBERS 2.3. THE RELATIONSHIP BETWEEN BINARY, OCTAL, AND HEXADECIMAL NUMBERS 2.4. CONVERTING FROM DECIMAL NUMBERS 2.5. PROBLEMS CHAPTER 3: Logic 3.1. PROPOSITIONS AND CONNECTIVES 3.2. CONNECTIVE TRUTH TABLES 3.3. TRUTH VALUE OF COMPOUND STATEMENTS 3.4. TAUTOLOGIES AND CONTRADICTIONS 3.5. LOGICAL EQUIVALENCE AND THE LAWS OF LOGIC 3.6. PROBLEMS CHAPTER 4: Set Theory 4.1. SET NOTATION 4.2. SET OPERATIONS 4.3. VENN DIAGRAMS 4.4. THE LAWS OF SET THEORY 4.5. BINARY RELATIONS ON SETS 4.6. PROBLEMS CHAPTER 5: Boolean Algebra 5.1. DEFINITION OF BOOLEAN ALGEBRA 5.2. LOGIC AND SET THEORY AS BOOLEAN ALGEBRAS 5.3. DIGITAL CIRCUITS 5.4. SUMS-OF-PRODUCTS AND PRODUCTS-OF-SUMS 5.5. PROBLEMS CHAPTER 6: Functions 6.1. INTRODUCTION TO FUNCTIONS 6.2. REAL-VALUED FUNCTIONS 6.3. FUNCTION COMPOSITION AND INVERSES 6.4. PROBLEMS CHAPTER 7: Counting and Combinatorics 7.1. ADDITION AND MULTIPLICATION PRINCIPLES 7.2. COUNTING ALGORITHM LOOPS 7.3. PERMUTATIONS AND ARRANGEMENTS 7.4. COMBINATIONS AND SUBSETS 7.5. PERMUTATION AND COMBINATION EXAMPLES 7.6. PROBLEMS CHAPTER 8: Algorithmic Complexity 8.1. OVERVIEW OF ALGORITHMIC COMPLEXITY 8.2. TIME-COMPLEXITY FUNCTIONS 8.3. FINDING TIME-COMPLEXITY FUNCTIONS 8.4. BIG-O NOTATION 8.5. RANKING ALGORITHMS 8.6. PROBLEMS CHAPTER 9: Graph Theory 9.1. BASIC DEFINITIONS 9.2. EULERIAN AND SEMI-EULERIAN GRAPHS 9.3. MATRIX REPRESENTATIONS OF GRAPHS 9.4. REACHABILITY FOR DIRECTED GRAPHS 9.5. PROBLEMS CHAPTER 10: Trees 10.1. BASIC DEFINITIONS 10.2. MINIMAL SPANNING TREES OF WEIGHTED GRAPHS 10.3. MINIMAL DISTANCE PATHS 10.4. PROBLEMS APPENDIX A: Basic Circuit Design A.1. BINARY ADDITION A.2. THE HALF-ADDER A.3. THE FULL-ADDER A.4. ADDING TWO EIGHT-DIGIT BINARY NUMBERS APPENDIX B: Answers to Problems B.1. CHAPTER ONE ANSWERS B.2. CHAPTER TWO ANSWERS B.3. CHAPTER THREE ANSWERS B.4. CHAPTER FOUR ANSWERS B.5. CHAPTER FIVE ANSWERS B.6. CHAPTER SIX ANSWERS B.7. CHAPTER SEVEN ANSWERS B.8. CHAPTER EIGHT ANSWERS B.9. CHAPTER NINE ANSWERS B.10. CHAPTER TEN ANSWERS Index; CSE; CSE N2 - "Discrete Mathematics for Computer Science: An Example-Based Introduction is intended for a first or second-year discrete mathematics course for computer science majors. It covers many important mathematical topics essential for future computer science majors, such as algorithms, number representations, logic, set theory, Boolean algebra, functions, combinatorics, algorithmic complexity, graphs, and trees. Features designed to be especially useful for courses at the community college level Ideal as a first or second-year textbook for computer science majors, or as a general introduction to discrete mathematics Written to be accessible to those with a limited mathematics background and to aid with the transition to abstract thinking Filled with over 200 worked examples, boxed for easy reference, and over 200 practice problems with answers. Contains approximately 40 simple algorithms to aid students in becoming proficient with algorithm control structures and pseudocode. An appendix on basic circuit design provides a real-world motivational example for computer science majors by drawing on multiple topics covered in the book to design a circuit that adds two eight-digit binary numbers"-- UR - https://search.worldcat.org/title/1227395034?oclcNum=1227395034 ER -