The Mathematical Field

About the Book

Arithmetic, algebraic, and geometric applications can be seen by human beings in the following: 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 explains the following: 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, and programming. 2) How algebraic equations are used to see the relationship between different entities. Algebraic quantities can be plotted using Cartesian Coordinates 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 that 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. 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 stars and galaxy. 4) How scalar quantities, such as temperature and pressure, can form different rules for different planets but 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 Electric and Magnetic Fields are linked together to produce such useful machines as 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. 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 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 that 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.

About the Author

Vincent J. Hyde was born in September 1954 in Calcutta, India. While living in Calcutta, He studied in Saint Xavier’s College. He immigrated to Sydney, Australia, in February 1970. While living in Sydney, he completed his secondary education at Marcellin College and Merrylands High School, where he obtained his Higher School Certificate in 1973. He completed the electrical engineering degree course at the University of New South Wales in 1979. He earned a postgraduate diploma in illumination design at the University of Sydney in 1983. He worked as an electrical engineer at the New South Wales Public Works from 1979 to 2014 and retired from active engineering duties in 2014. Since 2014, he has been writing books to continue his professional development. He has written five books with the publisher Balboa Press, as follows: 1. Heaven and Earth 2. A Journey from Dust to Consciousness 3. A Message from the Neighbours 4. Earth’s Reply 5. The Alien World 6. Fields He is a current member of the Institution of Engineers Australia (MIEAust), Chartered Professional Engineer (Ret) No. 1387147.