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  3. Diskret matematik

A Brief Journey in Discrete Mathematics

Af: Randolph Nelson Engelsk Paperback

A Brief Journey in Discrete Mathematics

Af: Randolph Nelson Engelsk Paperback
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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.


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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.


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Se mere i:
Produktdetaljer
Sprog: Engelsk
Sider: 185
ISBN-13: 9783030378639
Indbinding: Paperback
Udgave:
ISBN-10: 3030378632
Kategori: Diskret matematik
Udg. Dato: 12 feb 2021
Længde: 0mm
Bredde: 155mm
Højde: 235mm
Forlag: Springer Nature Switzerland AG
Oplagsdato: 12 feb 2021
Forfatter(e): Randolph Nelson
Forfatter(e) Randolph Nelson

Kategori Diskret matematik

ISBN-13 9783030378639

Sprog Engelsk

Indbinding Paperback

Sider 185

Udgave

Længde 0mm

Bredde 155mm

Højde 235mm

Udg. Dato 12 feb 2021

Oplagsdato 12 feb 2021

Forlag Springer Nature Switzerland AG

Kategori sammenhænge