The Mathematical Field

The arithmetic, algebraic and geometric applications can be seen by human beings in: 1) The Fields of the galaxies, stars, planets and moons in Heaven. 2) The Fields of Knowledge in the numerous cities of the Earth. This book includes: 1) How numbers, letters, words, books, pictures and even product prices can be represented, and even transmitted to anywhere in the world using waves, binary arithmetic, programming and machines. 2) How algebraic equations are used to see the relationship between different entities. Algebraic quantities can be plotted using Cartesian Co-ordinates to establish a graphical relationship between different quantities. Also, we can see how Boolean Algebra, Electronic Gates and Programming can be used to develop circuits which produce very logical results. 3) How geometry and the equations for the conical sections can be used to describe the orbits of the planets and moons. This also allows us to calculate the orbits of satellites and the velocity required to keep satellites and machines in orbit around stars, planets and moons. By being able to calculate escape velocities from stars, planets and moons, we have been provided with a means to escape from the Earth and even the star and galaxy. 4) How scalar quantities such as temperature and pressure can form different rules for different planets but they are merely numbers. Whereas, vector quantities such as Gravitational Fields, Electric Fields and Magnetic Fields also have rules for the orbiting planets and moons, electric positive and negative charges and iron magnets respectively. It is amazing how the Electric and Magnetic Fields are linked together to produce such useful machines like motors, generators, transformers, contactors, solenoids and many other interesting devices to allow human beings to design and construct Switchgear and Controlgear Assemblies which allow for the automatic control and protection of machines. It is also amazing how waves can be used to carry alternating current and power to cities all over the world, while radio waves can also be used to carry data and information at speeds of gigabits per second. Even the Electromagnetic Spectrum and visible light are made up of particles moving in waves. Our eyes are sensors that can detect visible light waves and our brains receive sensations of colour. Our ears are sensors that can detect sound waves and our brains can interpret the sensations as speech. Using mathematics and machines we can convert visual and sound data into binary numbers which can be sent on carrier waves anywhere on the Earth and displayed on machines. Mathematics and in particular the formula E = mc2 shows us that mass and energy are interlinked and energy is more like a wave, while mass is more like a particle. We have to thank the Creator for giving us the consciousness to understand the Mathematical Field and the machines that help us lead more constructive lives in the Fields of Knowledge all around us.