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A Brief Journey in Discrete Mathematics (Hardcover, 1st ed. 2020)
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A Brief Journey in Discrete Mathematics (Hardcover, 1st ed. 2020)
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The goal of this book is to showcase the beauty of mathematics as
revealed in nine topics of discrete mathematics. In each chapter,
properties are explored through a series of straightforward
questions that terminate with results that lie at the doorstep of a
field of study. Each step along the way is elementary and requires
only algebraic manipulation. This frames the wonder of mathematics
and highlights the complex world that lies behind a series of
simple, mathematical, deductions. Topics addressed include
combinatorics, unifying properties of symmetric functions, the
Golden ratio as it leads to k-bonacci numbers, non-intuitive and
surprising results found in a simple coin tossing game, the
playful, trick question aspect of modular systems, exploration of
basic properties of prime numbers and derivations of bewildering
results that arise from approximating irrational numbers as
continued fraction expansions. The Appendix contains the basic
tools of mathematics that are used in the text along with a
numerous list of identities that are derived in the body of the
book. The mathematics in the book is derived from first principles.
On only one occasion does it rely on a result not derived within
the text. Since the book does not require calculus or advanced
techniques, it should be accessible to advanced high school
students and undergraduates in math or computer science. Senior
mathematicians might be unfamiliar with some of the topics
addressed in its pages or find interest in the book's unified
approach to discrete math.
General
Imprint: |
Springer Nature Switzerland AG
|
Country of origin: |
Switzerland |
Release date: |
February 2020 |
First published: |
2020 |
Authors: |
Randolph Nelson
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Dimensions: |
235 x 155mm (L x W) |
Format: |
Hardcover
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Pages: |
185 |
Edition: |
1st ed. 2020 |
ISBN-13: |
978-3-03-037860-8 |
Categories: |
Books >
Science & Mathematics >
Mathematics >
General
|
LSN: |
3-03-037860-8 |
Barcode: |
9783030378608 |
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