Discrete Mathematics By Olympia Nicodemi
Understanding truth tables, logical connectives, tautologies, and contradictions.
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This textbook is ideally suited for sophomore-level undergraduate students majoring in Computer Science, Computer Engineering, or Mathematics. Because it does not assume a prerequisite of advanced calculus, it is highly accessible to any student with a strong background in college algebra.
Nicodemi writes in an unusually engaging, almost Socratic tone. She explains why definitions matter, how proofs are constructed, and what the underlying intuition is. This makes the book readable compared to drier, definition-theorem-proof texts. Discrete Mathematics by Olympia Nicodemi
: She illustrates how simple counting principles (like the Pigeonhole Principle or permutations) are actually the engines behind complex computer algorithms.
Nicodemi introduces graph theory using highly visual, intuitive examples. Students explore vertices, edges, Euler and Hamiltonian paths, and optimization algorithms. The text also details tree structures, which are vital for understanding data organization in computer science. 5. Relations and Functions
(1987) is a foundational textbook designed to transition students from continuous mathematics (like calculus) to the discrete structures essential for computing and higher-level math. Core Focus and Purpose Because it does not assume a prerequisite of
Introduction to quantifiers (universal and existential) to express complex mathematical statements.
: While older, the text remains available for study through academic resources like the Internet Archive and is sold by retailers such as Amazon and Biblio .
Understanding structures requires a firm grasp of how elements interact. This makes the book readable compared to drier,
Eulerian and Hamiltonian paths, planar graphs, and graph coloring.
: Techniques for counting and probability, vital for complexity analysis.
Problems requiring students to explain the "why" behind the math.
Olympia Nicodemi’s approach to is famously framed as a "bridge". While a standard textbook might feel like a collection of abstract puzzles, her work—specifically