Elementary Number Theory
eBook - ePub

Elementary Number Theory

Second Edition

  1. 272 pages
  2. English
  3. ePUB (mobile friendly)
  4. Available on iOS & Android
eBook - ePub

Elementary Number Theory

Second Edition

About this book

Ideal for a first course in number theory, this lively, engaging text requires only a familiarity with elementary algebra and the properties of real numbers. Author Underwood Dudley, who has written a series of popular mathematics books, maintains that the best way to learn mathematics is by solving problems. In keeping with this philosophy, the text includes nearly 1,000 exercises and problems—some computational and some classical, many original, and some with complete solutions.
The opening chapters offer sound explanations of the basics of elementary number theory and develop the fundamental properties of integers and congruences. Subsequent chapters present proofs of Fermat's and Wilson's theorems, introduce number theoretic functions, and explore the quadratic reciprocity theorem. Three independent sections follow, with examinations of the representation of numbers, diophantine equations, and primes. The text concludes with 260 additional problems, three helpful appendixes, and answers to selected exercises and problems.

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Yes, you can access Elementary Number Theory by Underwood Dudley in PDF and/or ePUB format, as well as other popular books in Mathematics & Number Theory. We have over one million books available in our catalogue for you to explore.

Information

Publisher
Dover Publications
Year
2012
Print ISBN
9780486469317
eBook ISBN
9780486134871
Topic
Mathematics
Subtopic
Number Theory
Index
Mathematics

Table of contents

  1. Title Page
  2. Bibliographical Note
  3. Copyright Page
  4. Table of Contents
  5. Preface
  6. Section 1 - Integers
  7. Section 2 - Unique Factorization
  8. Section 3 - Linear Diophantine Equations
  9. Section 4 - Congruences
  10. Section 5 - Linear Congruences
  11. Section 6 - Fermat’s and Wilson’s Theorems
  12. Section 7 - The Divisors of an Integer
  13. Section 8 - Perfect Numbers
  14. Section 9 - Euler’s Theorem and Function
  15. Section 10 - Primitive Roots
  16. Section 11 - Quadratic Congruences
  17. Section 12 - Quadratic Reciprocity
  18. Section 13 - Numbers in Other Bases
  19. Section 1410 - Duodecimals
  20. Section 15 - Decimals
  21. Section 16 - Pythagorean Triangles
  22. Section 17 - Infinite Descent and Fermat’s Conjecture
  23. Section 18 - Sums of Two Squares
  24. Section 19 - Sums of Four Squares
  25. Section 20 - x2 - Ny2 = 1
  26. Section 21 - Bounds for π(x)
  27. Section 22 - Formulas for Primes
  28. Section 23 - Additional Problems
  29. Appendix A - Proof by Induction
  30. Appendix B - Computer Problems
  31. Appendix C - Factor Table for Integers Less Than 10,000
  32. References
  33. Answers to Selected Exercises
  34. Answers to Selected Odd-Numbered Problems
  35. Comments on Selected Odd-Numbered Problems
  36. Index