Number Theory: In Context and Interactive by Karl-Dieter Crisman
Number Theory: In Context and Interactive - Table of Contents
- 1. Prologue
- 2. Basic Integer Division
- 3. From Linear Equations to Geometry
- 4. First Steps with Congruence
- 5. Linear Congruences
- 6. Prime Time
- 7. First Steps With General Congruences
- 8. The Group of Integers Modulo n
- 9. The Group of Units and Euler’s Function
- 10. Primitive Roots
- 11. An Introduction to Cryptography
- 12. Some Theory Behind Cryptography
- 13. Sums of Squares
- 14. Beyond Sums of Squares
- 15. Points on Curves
- 16. Solving Quadratic Congruences
- 17. Quadratic Reciprocity
- 18. An Introduction to Functions
- 19. Counting and Summing Divisors
- 20. Long-Term Function Behavior
- 21. The Prime Counting Function
- 22. More on Prime Numbers
- 23. New Functions from Old
- 24. Infinite Sums and Products
- 25. Further Up and Further In
- A. List of Sage Notes
- B. List of Historical Remarks
- C. Notation
- D. List of Figures
- E. References and Further Resources
What You Will Learn in Number Theory: In Context and Interactive
Number Theory In Context and Interactive by Karl Crisman offers a student-friendly approach to higher arithmetic through active learning and open computational technology. Accessing this karl crisman number theory pdf gives learners hands-on coding experience alongside traditional mathematical proofs.
The textbook covers divisibility, prime factorization, congruences, public-key cryptography, primitive roots, and quadratic reciprocity. Studying this number theory in context and interactive resource allows students to explore real-world applications in computer science and historical developments in mathematics.
Published as an open number theory in context pdf reference, this work features interactive computational exercises, conceptual discussions, and structured problem sets.
Book Details & Specifications
Title:
Number Theory: In Context and Interactive by Karl-Dieter Crisman
Publisher:
Karl-Dieter Crisman
Year:
2024
Pages:
518
Type:
PDF
Language:
English
ISBN-10 #:
B08XLGFMNR
ISBN-13 #:
979-8713540685
License:
CC BY-ND 4.0
Amazon:
Amazon
About the Author: Karl-Dieter Crisman
The author Karl-Dieter Crisman
is a Professor of Mathematics at Gordon College, specializing in voting theory, open-source educational software, and mathematical humanities.
As the author of Number Theory In Context and Interactive by Karl Crisman, he has been a strong advocate for open educational resources (OER) and integrating interactive technology like SageMath into the undergraduate curriculum.
Read or Downloadable Number Theory: In Context and Interactive
Free Number Theory Books PDF | Curated Academic Library Index