IEEE Standard Glossary of Mathematics of Computing Terminology 1st Edition by IEEE ISBN 0738145416

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ISBN 10: 0738145416
ISBN 13: 
Author: IEEE

This dictionary defines terms in the field of Mathematics of Computing. Topics covered include Boolean algebra, number systems, computer arithmetic, complementation, shifts, arithmetic errors, error detection and correction, number conversions, numeric codes, mathematical notation, and basic mathematics. Every effort has been made to include all terms in general usage in this field.

IEEE Standard Glossary of Mathematics of Computing Terminology 1st Table of contents:

• Mathematical Foundations in Computing

  • Arithmetic and Number Systems
  • Set Theory and Logic
  • Functions and Relations
  • Algebra and Linear Algebra
  • Mathematical Structures in Computing

• Fundamental Mathematical Concepts

  • Arithmetic Operations
  • Exponentiation and Logarithms
  • Modular Arithmetic
  • Complex Numbers and Their Applications
  • Probability and Statistics in Computing

• Mathematical Logic

  • Propositional and Predicate Logic
  • Logical Operations and Boolean Algebra
  • Mathematical Induction and Proofs
  • Formal Languages and Automata Theory
  • Computational Complexity Theory

• Calculus and Analysis

  • Limits and Continuity
  • Derivatives and Integrals
  • Differentiation and Optimization
  • Multivariable Calculus and Applications
  • Fourier Analysis and Transformations

• Discrete Mathematics

  • Combinatorics
  • Graph Theory and Trees
  • Graph Algorithms
  • Permutations and Combinations
  • Recurrence Relations and Generating Functions

• Linear Algebra in Computing

  • Vectors and Matrices
  • Eigenvalues and Eigenvectors
  • Matrix Operations and Factorization
  • Applications of Linear Algebra in Computing
  • Systems of Linear Equations and Their Solutions

• Numerical Methods and Algorithms

  • Root-Finding Algorithms
  • Numerical Integration and Differentiation
  • Approximation Techniques
  • Solving Differential Equations Numerically
  • Optimization and Computational Methods

• Theory of Computation

  • Turing Machines and Automata
  • Formal Grammars and Languages
  • Computability and Decidability
  • Computational Complexity Classes (P, NP, NP-complete)
  • The Halting Problem

• Probability and Statistics in Computing

  • Probability Theory and Random Variables
  • Probability Distributions and Their Applications
  • Statistical Methods and Inference
  • Bayesian Networks and Machine Learning
  • Data Analysis and Prediction Models

• Algebraic Structures in Computing

  • Groups, Rings, and Fields
  • Algebraic Structures in Cryptography
  • Polynomial Rings and Their Applications
  • Modular Arithmetic and Cryptosystems

• Mathematical Foundations of Software Engineering

  • Formal Methods in Software Development
  • Verification and Validation Techniques
  • Logic-Based Programming Languages
  • Complexity of Software Systems
  • Mathematical Models for Software Reliability

• Advanced Topics in Mathematics for Computing

  • Topology and Its Applications in Computing
  • Differential Equations in Modeling Systems
  • Fractals and Chaos Theory in Computing
  • Advanced Topics in Cryptography and Information Security
  • Computational Geometry

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