Mathematical induction is a proof technique used to establish that a given statement is true for all natural numbers. The method involves two steps: the base case, which proves the statement for a starting number (often 0 or 1), and the induction step, which shows that if the statement holds for any given case, it also holds for the next. This method can be extended to more complex structures, such as trees, in a process known as structural induction, and is fundamental to most correctness proofs for computer programs.
Stanford University
Winter 2020
CS 103A serves as an additional review course for CS103 students, focusing on strengthening proof-based mathematics skills and general problem-solving strategies in a context closely tied to CS103.
No concepts data
+ 31 more conceptsBrown University
Spring 2023
CSCI 0220 provides a foundation in discrete math and probability theory. Key topics include logic, set theory, number theory, combinatorics, graph theory, and probability. No prior math background assumed. Aims to develop problem solving, communication, and collaboration skills. Introduces new concepts and ways of thinking to enable analyzing problems arising in computer science. Beginner-friendly introduction to core mathematical concepts underlying many aspects of CS.
No concepts data
+ 26 more concepts