Theoretical computer science is the foundational branch of computer science that deals with the mathematical and logical foundations of computation and information. It focuses on abstract models of computation and their properties, rather than the practical implementation of computer systems. Key Characteristics / Core Concepts Algorithms and their complexity: Analyzing the efficiency and resource requirements … Read more
Numerical analysis is the study of algorithms that use numerical approximation (as opposed to symbolic manipulations) for the problems of mathematical analysis. It’s essentially about finding approximate solutions to mathematical problems using numerical methods. Key Characteristics / Core Concepts Approximation: Numerical analysis relies on approximating solutions, not finding exact answers. Algorithms: It uses specific step-by-step … Read more
Graph theory is the study of graphs, which are mathematical structures used to model pairwise relations between objects. It’s a branch of mathematics that deals with networks of points (vertices or nodes) connected by lines (edges). Key Characteristics / Core Concepts Vertices (Nodes): Represent objects or entities. Edges: Represent the connections or relationships between vertices. … Read more
Data structures are ways of organizing and storing data in a computer so that it can be used efficiently. They are fundamental to how programs handle information. Key Characteristics / Core Concepts Organization: Data structures define how data is arranged in memory, impacting access speed and efficiency. Relationships: They illustrate the relationships between data elements … Read more
Computer science is the study of computers and computational systems. It deals with their theory, design, development, and application. Key Characteristics / Core Concepts Algorithms and data structures: Efficient ways to organize and process information. Programming languages: Tools for instructing computers to perform tasks. Software engineering: The systematic development and maintenance of software. Computer architecture: … Read more