Everything about Arithmetic

🧭 Start here: a 6-step reading path

1. Read the overview: ArithmeticA 5-minute orientation
2. Skim a recent paper: Deep Convolutional Spiking Neural Network optimized with Arithmetic optimization algorithm for lung disease detection using chest X-ray imagesInfluential work since 2022
3. Pick up a classic book: The schoolmasters assistantThe most-reprinted book on the subject
4. Read the landmark paper: The Arithmetic Optimization AlgorithmCited 2,865 times
5. Go sideways: Outline of arithmeticA closely related topic
6. Go sideways: NumberA closely related topic

🏆 Landmark papers (most cited)

• The Arithmetic Optimization Algorithm

  Laith Abualigah, Ali Diabat, Seyedali Mirjalili · 2021 · Computer Methods in Applied Mechanics and Engineering · 2,865 citations

• Arithmetic coding for data compression

  Ian H. Witten, Radford M. Neal, John G. Cleary · 1987 · Communications of the ACM · 2,051 citations

• Matrix multiplication via arithmetic progressions

  Don Coppersmith, Shmuel Winograd · 1990 · Journal of Symbolic Computation · 1,418 citations

• Three-way arrays: rank and uniqueness of trilinear decompositions, with application to arithmetic complexity and statistics

  Joseph B. Kruskal · 1977 · Linear Algebra and its Applications · 1,304 citations

• What every computer scientist should know about floating-point arithmetic

  David Goldberg · 1991 · ACM Computing Surveys · 1,304 citations

• Signed-Digit Numbe Representations for Fast Parallel Arithmetic

  Algirdas Avizienis · 1961 · IEEE Transactions on Electronic Computers · 1,050 citations

• A Sparse Matrix Arithmetic Based on $\Cal H$ -Matrices. Part I: Introduction to ${\Cal H}$ -Matrices

  W. Hackbusch · 1999 · Computing · 987 citations

• Context-based adaptive binary arithmetic coding in the H.264/AVC video compression standard

  D. Marpe, H. Schwarz, T. Wiegand · 2003 · IEEE Transactions on Circuits and Systems for Video Technology · 976 citations

🆕 Influential since 2022

• Deep Convolutional Spiking Neural Network optimized with Arithmetic optimization algorithm for lung disease detection using chest X-ray images

  R. Rajagopal, R. Karthick, P. Meenalochini · 2023 · Biomedical Signal Processing and Control · 168 citations

• Hybrid CNN and XGBoost Model Tuned by Modified Arithmetic Optimization Algorithm for COVID-19 Early Diagnostics from X-ray Images

  Miodrag Zivkovic, Nebojsa Bacanin, Milos Antonijevic · 2022 · Electronics · 158 citations

• An enhanced hybrid arithmetic optimization algorithm for engineering applications

  Gang Hu, Jingyu Zhong, Bo Du · 2022 · Computer Methods in Applied Mechanics and Engineering · 157 citations

• Dynamic Arithmetic Optimization Algorithm for Truss Optimization Under Natural Frequency Constraints

  Nima Khodadadi, Vaclav Snasel, Seyedali Mirjalili · 2022 · IEEE Access · 132 citations

• A novel hybrid arithmetic optimization algorithm for solving constrained optimization problems

  Betul Sultan Yıldız, Sumit Kumar, Natee Panagant · 2023 · Knowledge-Based Systems · 128 citations

📚 Books worth reading

• The schoolmasters assistantThomas Dilworth, Moses Browne · 1744
• Essential MathsSean McArdle · 1996
• The North American arithmeticFrederick Emerson · 1829
• Primary Mathematics (SPMG)Scottish Primary Mathematics Group · 1984
• Addison-Wesley MathematicsRobert E. Eicholz, Phares G. O'Daffer · 1985
• 📕A natural approach to mathematicsHarold William Clayton · 1965
• Collins Primary MathsPeter Clarke · 1999
• The tutor's assistantFrancis Walkingame · 1751

Ranked by number of editions on Open Library, a rough measure of how lasting a book is.

🔗 Related topics

• Outline of arithmetic The following outline is provided as an overview of and topical guide to arithmetic: Arithmetic is an elementary branch of mathematics that deals with…
• Number A number is a mathematical object used to count, measure, order and label. The most basic examples are the natural numbers: 1, 2, 3, 4, 5, and so forth…
• Multiplication Multiplication is one of the four elementary mathematical operations of arithmetic, with the other ones being addition, subtraction, and division. The…
• Modular arithmetic In mathematics, modular arithmetic is a system of arithmetic operations for integers, differing from the usual ones in that numbers "wrap around" when…
• Addition Addition, usually denoted with the plus sign +, is one of the four basic operations of arithmetic, the other three being subtraction, multiplication, and…
• Decimal A decimal system (also called base-ten, denary or decenary) is a numeral system that uses ten as its radix (base). Decimal systems are the global standard…
• Binary number A binary number is a number expressed in the base-2 numeral system or binary numeral system, a method for representing numbers that uses only two symbols…
• Integer An integer is the number zero (0), a positive natural number (1, 2, 3, ...), or the negation of a positive natural number (−1, −2, −3, ...). The negations…