A Brief Journey in Discrete Mathematics

Authors: Nelson, Randolph

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  • Demonstrates the beauty of mathematics through a concise discussion of 9 topics in discrete math
  • Appealing to a wide readership from high school students to research mathematicians
  • Includes an appendices with basic tools used in the text and a healthy list of identities derived within the book
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eBook 67,40 €
price for Spain (gross)
  • Due: February 11, 2020
  • ISBN 978-3-030-37861-5
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
Hardcover 83,19 €
price for Spain (gross)
  • ISBN 978-3-030-37860-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
About this book

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.


About the authors

Randolph Nelson received his PhD from UCLA exploring topics in probability and stochastic processes that had applications to computer performance modeling.  For more than a decade he was a research scientist at the Thomas J. Watson research center managing fellow workers in the system performance group.  Currently, Dr. Nelson is a managing general partner at OTA LLC, a private financial firm engaged in algorithmic trading in US equity markets. Dr. Nelson is also the author of another book published by Springer  Probability, Stochastic Processes and Queueing Theory: The Mathematics of Computer Performance Modeling.



Table of contents (10 chapters)

Table of contents (10 chapters)

Buy this book

eBook 67,40 €
price for Spain (gross)
  • Due: February 11, 2020
  • ISBN 978-3-030-37861-5
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
Hardcover 83,19 €
price for Spain (gross)
  • ISBN 978-3-030-37860-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
A Brief Journey in Discrete Mathematics
Authors
Copyright
2020
Publisher
Springer International Publishing
Copyright Holder
Springer Nature Switzerland AG
eBook ISBN
978-3-030-37861-5
DOI
10.1007/978-3-030-37861-5
Hardcover ISBN
978-3-030-37860-8
Edition Number
1
Number of Pages
XIII, 185
Number of Illustrations
1 b/w illustrations
Topics