Sets and Mappings, Monoid, Group. English edition

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Sets and Mappings, Monoid, Group, Sub monoid, Subgroup, Group homomorphism, Kernel of a group homomorphism, Image of a group homomorphism, Group isomorphism, Group automorphism, Operations of subsets of group, Coset, Lagrange's theorem, Normal subgroup, Equivalence relation, Natural group homomorphism, Homomorphism theorem of group, First isomorphism theorem of group, Second isomorphism theorem of group, Subgroup generated by a subset of the group, Cyclic group, Group tables of finite group, Order of a finite cyclic group, Subgroup of infinite cyclic group, Subgroup of finite cyclic group,

In this book, I describe sets and mappings, monoid, group as briefly as possible.
Feature of this book is that logic symbolswere used,
without hesitations. I explained the meanings of these symbols of course.
Feature of this book is that brackets(For example, , [　] etc.)were used, without hesitations.
By using these symbols, I feel proud that I was able to express the delicate contents of
mathematics as faithful as possible.
Contents of mathematics in senior high school, have been assumed as background knowledges.
Because I assume that a reader of this book is an ambitious student of senior high
school.
Because I assume that a reader of this book is a person of science-oriented first year class
of university.
Because I assume that a reader of this book is a student of the Department of Mathematics.
Because I assume that a reader of this book is a person who have a good understanding
until high school mathematics, but don’t have a good understanding math at the University.
I use many formulas as possible. Because I believe that the formulas are nucleus of mathematics.
When be read this book, please read while being confirmed by a pencil and notebook always.
If read while being confirmed by a pencil and notebook, you will be able to enjoy relatively
easily.
I am sad that in recent years, and in the education, the practical side is too emphasized. I
am sad that in recent years, and in the education, the richness of the spirit is neglected.
I am sad the disappearance of the salon in Japan in recent years, in the same as these.
Atmosphere and space like salon will not fit a traditional thing in Japan originally?
However, that there is to spare, is that there are many the atmosphere and space as a
salon. Or Japan has become so poor society? As there is not financial power which has the
atmosphere and space as a salon.
I hope at least in this book, want to be in the atmosphere and space, such as a salon of
people who love mathematics culture. And I intend to write that way.
Humble contribution of my work might be. Even would be modest.
It would be a nonsense that to discuss the practicality of mathematics.
The body of mathematics is an entity that exists in the world of Gods.
Mathematics are present in the lofty extremely, to the high places of the dimension.
Only attitude we mediocre Human can take for mathematics is that to love earnestly and
longing her.
I would like to dedicate this book to all people of understanding the math in this way.
Though we human beings are inferior in the presence, let’s touch to mathematics as described
above along with Jacobi.
For the honor of the human spirit.

Language: English

Pages: 31

Format: Kindle Edition

Sets and Mappings, Monoid, Group. English edition

Yukitaka Miyagawa

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Language: English

Pages: 31

Format: Kindle Edition

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Sets and Mappings, Monoid, Group. English edition

Sets and Mappings, Monoid, Group. English edition

Sets and Mappings, Monoid, Group. English edition

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