Journey into Discrete Mathematics
eBook - PDF

Journey into Discrete Mathematics

Owen D. Byer, Deirdre L. Smeltzer, Kenneth L. Wantz

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eBook - PDF

Journey into Discrete Mathematics

Owen D. Byer, Deirdre L. Smeltzer, Kenneth L. Wantz

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About This Book

Journey into Discrete Mathematics is designed for use in a first course in mathematical abstraction for early-career undergraduate mathematics majors. The important ideas of discrete mathematics are included—logic, sets, proof writing, relations, counting, number theory, and graph theory—in a manner that promotes development of a mathematical mindset and prepares students for further study. While the treatment is designed to prepare the student reader for the mathematics major, the book remains attractive and appealing to students of computer science and other problem-solving disciplines.The exposition is exquisite and engaging and features detailed descriptions of the thought processes that one might follow to attack the problems of mathematics. The problems are appealing and vary widely in depth and difficulty. Careful design of the book helps the student reader learn to think like a mathematician through the exposition and the problems provided. Several of the core topics, including counting, number theory, and graph theory, are visited twice: once in an introductory manner and then again in a later chapter with more advanced concepts and with a deeper perspective.Owen D. Byer and Deirdre L. Smeltzer are both Professors of Mathematics at Eastern Mennonite University. Kenneth L. Wantz is Professor of Mathematics at Regent University. Collectively the authors have specialized expertise and research publications ranging widely over discrete mathematics and have over fifty semesters of combined experience in teaching this subject.

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Information

Publisher
American Mathematical Society
Year
2018
ISBN
9781470449124
Topic
Mathematik
Subtopic
Diskrete Mathematik
Think
of
an
integer
between
41
and
59,
inclusive.
Subtract
25
from
your
number
and
write
down
the
resulting
2-digit
num-
ber.
Now
subtract
50
from
your
original
number
and
square
the
result
to
form
another
2-digit
number,
using
a
zero
as
the
ïŹrst
digit
if
necessary.
Append
this
2-digit
number
to
the
right
side
of
the
one
you
wrote
down
earlier,
forming
a
4-digit
num-
ber.
This
4-digit
number
should
be
the
square
of
the
original
number.
Why
does
this
work?
Can
you
amend
the
method
to
work
for
numbers
outside
of
the
41–59
range?

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