Let’s find out how maths is contributing to Robotics:
- Algebra: It is that part of maths that deals with symbols to represent numbers and quantities to deal with equations. Algebra has patterns and relationships which are used in the concepts of speed, time, distance, and force in Robotics.
- Making Robotics requires the use of Geometry. Geometry is part of Mathematics that studies the sizes, shapes, positions angles, and dimensions. Many robots are made with the use of wheels requiring the concepts of circles, area, and perimeter.
- Concepts of Statistics is also used in Robotics. The robots once made are required to perform certain tasks. Data is analyzed for the Robots for their speed, use of force, the performance of tasks.
- Calculus is a concept in maths developed by Newton and Leibniz. It deals with the study of the rate of change. It has concepts on differentiation, integration, limits, and functions.
- Differential Equation: It is an equation that has one or more derivatives. The derivative means a rate of change. The differential equation is a relationship between the quantity that is continuously changing in accordance with the change in another quantity. [5]
TODO: google "Geometry in Robotics"
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ROB 501: Subspaces & Linear Independence
- Robotics 501: Mathematics for Robotics [To Read]
- CMU 16-811: Math Fundamentals for Robotics, Fall 2023
- Explore the Vital Role of Geometry in Robotics with our Mind Map: Kinematics, Path Planning, Control, Computer Vision, Design, Localization, Mapping, Calibration, Manipulation, Simulation, and Human-Robot Interaction! [To Read]
- Mobile Robotics: Mathematics Models and Methods [To Read]
- Maths helps in Robotics
- Abstract Linear Algebra about Group, Ring, Field, Vector Space, Vector Subspace. (AAAA) [To Read]