The World of Whole Numbers
Number Theory for the Novice
Seiten
2020
|
2nd Revised edition
Kendall/Hunt Publishing Co ,U.S. (Verlag)
978-1-5249-9305-4 (ISBN)
Kendall/Hunt Publishing Co ,U.S. (Verlag)
978-1-5249-9305-4 (ISBN)
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Offers an introduction to the field of Number Theory for students in non-math and non-science majors who have studied at least two years of high school algebra. Rather than giving brief introductions to a wide variety of topics, this book provides an in-depth introduction to the field of Number Theory.
The World of Whole Numbers is an introduction to the field of Number Theory for students in non-math and non-science majors who have studied at least two years of high school algebra. Rather than giving brief introductions to a wide variety of topics, this book provides an in-depth introduction to the field of Number Theory. The topics covered include material in an introductory Number Theory course for mathematics majors, but the presentation is carefully tailored to meet the needs of elementary education, liberal arts, and other non-mathematical majors with a minimal mathematical background. The text covers logic and proofs, so that students may understand how to prove mathematical statements and to give counterexamples when statements are false. The book contains an abundance of worked examples and exercises to both clearly illustrate concepts and evaluate the students' mastery of the material.
The World of Whole Numbers is an introduction to the field of Number Theory for students in non-math and non-science majors who have studied at least two years of high school algebra. Rather than giving brief introductions to a wide variety of topics, this book provides an in-depth introduction to the field of Number Theory. The topics covered include material in an introductory Number Theory course for mathematics majors, but the presentation is carefully tailored to meet the needs of elementary education, liberal arts, and other non-mathematical majors with a minimal mathematical background. The text covers logic and proofs, so that students may understand how to prove mathematical statements and to give counterexamples when statements are false. The book contains an abundance of worked examples and exercises to both clearly illustrate concepts and evaluate the students' mastery of the material.
Testimonial
Preface to the Instructor
Preface to the Student
Acknowledgements
About the Author
Chapter 0 Introduction
Chapter 2 Pythagorean Triples
Chapter 3 Prime Numbers and Unique Factorization
Chapter 4 The Euclidean Algorithm
Chapter 5 Congruences
Chapter 6 Special Congruences and Numerical Functions
Chapter 7 Cryptography
Epilogue
Bibliography
Index
Erscheint lt. Verlag | 28.2.2020 |
---|---|
Verlagsort | Iowa |
Sprache | englisch |
Themenwelt | Mathematik / Informatik ► Mathematik ► Arithmetik / Zahlentheorie |
ISBN-10 | 1-5249-9305-0 / 1524993050 |
ISBN-13 | 978-1-5249-9305-4 / 9781524993054 |
Zustand | Neuware |
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