Understand Mathematics, Understand Computing: Discrete Mathematics That All Computing Students Should Know (Rosenberg Arnold L.)
Understand Mathematics, Understand Computing: Discrete Mathematics That All Computing Students Should Know (Rosenberg Arnold L.) Introduction.- "Doing" Mathematics: A Toolkit for Mathematical…
Specifikacia Understand Mathematics, Understand Computing: Discrete Mathematics That All Computing Students Should Know (Rosenberg Arnold L.)
Understand Mathematics, Understand Computing: Discrete Mathematics That All Computing Students Should Know (Rosenberg Arnold L.)
Introduction.- "Doing" Mathematics: A Toolkit for Mathematical Reasoning.- Sets and Their Algebras: The Stem Cells of Mathematics.- Numbers I: The Basics of Our Number System.- Arithmetic: Putting Numbers to Work.- Summations: Complex Operations from Simple Components.- The Vertigo of Infinity: Handling the Very Large and the Infinite.- Numbers II: Building the Integers and Building with the Integers.- Recurrences: Rendering Complex Structure Manageable.- Numbers III: Operational Representations and Their Consequences.- The Art of Counting: Combinatorics, Probability, and Statistics.- Graphs I: Representing Relationships Mathematically.- Graphs II: Graphs Within Computation and Communication.- Solutions to Exercises.- App. B, A Deeper Look at the Fibonacci Numbers.- App. A, Pairing Functions.- App.
D, Signed-Digit Numerals: Carry-Free C, Two Recurrence-Defined Number Families.- App.