The Mathematical Field

Vincent J Hyde

Description

The Mathematical Field shows how accurate measurements have resulted in better planning and mass production of goods and services. A must read to understand mathematics in our lives.
While writing this book, I felt intuitively that readers would want to know whether the Creator knew about the Mathematical Field. I have answered the question in one section of this book. Unfortunately, I do not know whether you will agree with me because as I mention in the book, human beings have free will.
The book shows the beauty and purity of the Mathematical Field, particularly how the numbers follow specific rules to form different systems like Binary, Octal, Decimal, Duodecimal, and Hexadecimal, where they can have different place values. It is significant that the decimal system suits human beings and our design of 10 fingers and 10 toes for counting seems to be no accident. The rules of the decimal system allows the numbers to be easily added, subtracted, multiplied and divided. Even the higher functions of calculating square roots, cube roots, Sine, Cosine, Tan, logarithms, and exponentials can be easily calculated using a simple calculating machine. The numbers form sequences and series. The arithmetic and geometric series enable easy calculation of numbers using formulae. All the periodic functions like Sine, Cosine, Tan, and ex can be expressed as a series. The Algebraic Arm has shown us how lines and curves can be expressed as simple equations, which we can visualise on the Cartesian Plane in two dimensions. Through differentiation and integration, we can sketch curves and calculate areas and volumes. In the Geometric Arm, we can visualise the points forming lines and the lines forming different slopes and different angles. Geometry also shows the different formations the lines can take—three lines to form triangles, four lines to form quadrilaterals, five lines to form pentagons, and many other shapes with more lines. Geometry also shows the purity of the conic sections forming hyperbolas, ellipses, parabolas, and circles with specific equations and characteristics that enable them to be easily sketched. The manner in which the two foci of the ellipse can come together to form the beautiful circle with one centre and one radius is amazing. Although the Cartesian Plane is more of an algebraic way of showing points in terms of x and y coordinates from an origin of (0,0), the Geometric Arm has shown that points can be described geometrically, as a distance and an angle from an origin. Geometry has also shown us how points around a circle can be drawn as Sine and Cosine waves, which generate the numerous trigonometric identities.
The Mathematical Field shows the importance of measurements, which has led to standardisation and mass production of goods and services. This has obviously made things easy for the large populations supported in the cities and towns all over the world. The Mathematical Field has also made it possible to draw and design objects before manufacture and construction; this eliminates errors and wastage.
Numbers are essentially pure producing the same results when put in equations and formulae. Human beings and the Fields of Knowledge can produce uncertain results because of the free will issue. Mathematics allows for this in Probability Theory, a branch of Arithmetic Arm. The Sporting Field is full of probability associated with the results. If five horses are running in a race, there is only a certain probability that a particular horse will win. Also, if one tossed a coin, there is only a 50% chance of getting a head and a 50% chance of not getting a head. Probability Theory shows how to calculate the chances of certain events occurring.
Finally, the Mathematical Field shows us how to sort the data accumulated in many of Fields of Knowledge to produce useful statistical data and generate formulae and applications in many other Fields of Knowledge, some of which will be considered in my next book.

Sujets

• Sciences et techniques
• Álgebra
• Geometry
• Algebra
• Measurement
• Mathematics
• Abrégé du calcul par la restauration et la comparaison
• Field
• Numbers

Informations

• Publié par: Balboa Press AU
• Date de parution: 06 mars 2023
• Nombre de lectures: 0
• EAN13: 9781982296582
• Langue: English

Extrait

THE MATHEMATICAL FIELD
Part 1 - Measurements
VINCENT J HYDE

 
Copyright © 2023 Vincent J Hyde.
 
All rights reserved. No part of this book may be used or reproduced by any means, graphic, electronic, or mechanical, including photocopying, recording, taping or by any information storage retrieval system without the written permission of the author except in the case of brief quotations embodied in critical articles and reviews.
 
 
Balboa Press
A Division of Hay House
1663 Liberty Drive
Bloomington, IN 47403
www.balboapress.com.au
AU TFN: 1 800 844 925 (Toll Free inside Australia)
AU Local: 0283 107 086 ([phone] from outside Australia)
 
Because of the dynamic nature of the Internet, any web addresses or links contained in this book may have changed since publication and may no longer be valid. The views expressed in this work are solely those of the author and do not necessarily reflect the views of the publisher, and the publisher hereby disclaims any responsibility for them.
 
Any people depicted in stock imagery provided by Getty Images are models, and such images are being used for illustrative purposes only.
Certain stock imagery © Getty Images.
 
ISBN: 978-1-9822-9657-5 (sc)
ISBN: 978-1-9822-9658-2 (e)
 
 
 
Balboa Press rev. date: 04/26/2023

CONTENTS
About the Author
Author’s Notes
Explanation of the Use of Capitalisation
Quotes Relevant to the Two Parts of the Book
 
Chapter 1 Introduction
Chapter 2 The Mathematical Field
Chapter 3 The Stars in the Mathematical Field
Chapter 4 The Arithmetic Arm
Chapter 5 The Algebra Arm
Chapter 6 The Geometry Arm
Chapter 7 Scalar and Vector Quantities
Chapter 8 Conclusion
Chapter 9 Symbols Used

To my teachers , who taught me mathematics from the age of five to my university days. In mathematics, it is always wise to follow the rules in order to get the right answer. I am happy to say that I took their advice and followed the rules.
ABOUT THE AUTHOR
Vincent J. Hyde was born in September 1954 in Calcutta, India. While living in Calcutta, he studied at 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 six books with publisher Balboa Press:
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.
AUTHOR’S NOTES
The Mathematical Field—Measurements is my seventh book.
I have studied in many Fields of Knowledge and wish to thank my teachers and other authors who have contributed to my work.
The Mathematical Field—Measurements is linked to the other six books and is a necessary read for readers who may be interested in any of the other books I have written. The purpose of this book is to show the importance of the Mathematical Field and the development of numbers in the Arithmetic Arm, Algebraic Arm, and Geometric Arm of the Field. The Mathematical Field is full of rules and laws that can operate on the numbers. Accurate measurements are important for establishing and proving the many rules and laws that operate in the Field. Accurate measurements have resulted in standardisation and mass production of goods and services. By measuring, graphing, and drawing objects to scale, projects can be designed and planned. This results in better management and less wastage during the construction phase of the project.
The Mathematical Field also helps us to understand the nature of the Creator’s rules and laws. Most importantly the period functions show us the nature of the Creator’s design in heaven and on the Earth.
In the book, I have solved some specific problems, like calculating the area of triangles using two different methods. This shows that the formulae used are correct. Obviously, I could not solve all the problems because the book would be too long. Therefore, it is up to the reader to solve other mathematical problems as required.
The Mathematical Field has many interesting applications in other Fields, including engineering. Unfortunately, it was impossible for me to include them here.
Therefore, this book becomes part 1, to be followed by part 2, The Mathematical Field—Applications . That is something to look forward to if you like part 1.
EXPLANATION OF THE USE OF CAPITALISATION
Upper case has sometimes been used to make it easy for the reader to follow the text:
1) A single word might have a vague meaning if considered by itself. However, in the context of the Mathematical Field, certain single words have a particular meaning and hence are capitalised. For example, the word field has a meaning associated with “the ground where people play a sport” or “an area where people grow a crop of food.” Field in the context of this book is where people work and develop a particular Field of Knowledge over a long period of time, usually resulting in the formation of many human stars.
2) A two-word phrase might be required to be considered together and not considered separately. For example, the phrase Mathematical Field is associated with people working and developing the Mathematical Field over a relatively long period of time.
3) The three-word phrase Fields of Knowledge must be considered together.
I hope this information is helpful to the reader.
QUOTES RELEVANT TO THE TWO PARTS OF THE BOOK
Part 1—Measurements
Give us this day our daily bread.
—The Lord’s Prayer
The Mathematical Field shows clearly how this portion of the prayer has been answered. In the previous book, we saw how the Creator had created the Fields of Heaven and Earth. Living human beings work in the Fields of Knowledge on the Earth by playing sports and being lawyers, teachers, engineers, doctors, and other professions. Human beings are paid a wage for the work they do. This wage is a numerical value, which is only understood through the Mathematical Field. This wage must be invested in superannuation, buying food, paying bills, paying taxes, paying rent, and living on the Earth. In short, most of us get our daily bread by working in the Fields created by the Creator. Those who do not work in the Fields of Knowledge get the dole for their daily bread. Generally, everyone is taken care of. However, it is important to understand the Mathematical Field at a very basic level, and this is done in primary, secondary, and tertiary education.
The words show that at least for Christians, the Creator cares and has, as we shall see in part 2, provided us with a means of spreading his kingdom across the galaxies.
Part 2—Applications
Thy kingdom come.
—The Lord’s Prayer
One of the possible interpretations of this prayer is that the Creator’s Kingdom will come when Mind or Consciousness is taken to other star systems and other galaxies so we have a universe with Mind and Matter. The Mathematical Field through measurements has shown that the escape velocity from the mass of the Earth is 11.2 kilometres per second, and the escape velocity from the mass of the Sun is 618 kilometres per second. Also, if we can generate a velocity greater than the escape velocity, our machines will be able to follow a hyperbolic path and escape from the Sun’s gravity field. Further details will be published in Part 2—Applications .
1
INTRODUCTION
The Mathematical Field is a significant Field and most human beings study mathematics in school from the age of five years. Mathematics is taught in school from year 1, and it is part of most educated people’s primary and secondary education. Many people take up mathematical applications as part of their tertiary education.
The famous mathematical stars of the past help to hold the Field together, and the institutions, schools, colleges, and universities help keep the Field alive by teaching many of the ideas and rules developed by famous mathematicians who have passed away, as well as by creating mathematical stars of the future.
The Mathematical Field is full of rules, laws, and theorems that have been developed over the last 40,000 years. In this book, we will look at the three main arms of the Mathematical Field:
1) Arithmetic
2) Algebra
3) Geometry
The book contains basic mathematical data, so even a year 1 student will find it is easy to understand the mathematical concepts considered. Obviously, all the mathematical concepts cannot be considered because the book would be too long. It is hoped that the main concepts in this book are sufficient to provide insights into the numerous applications to be written about in the second book. It is also hoped that the mathematical concepts considered will be useful for the reader in any Field of Knowledge.
I have split the Mathematical Field into two separate books because that appears to be the way the field developed. The first book is called Measurements because when human beings settled down to a more civilised lifestyle, there must have been a great need t