The First 1000 Euler Numbers cover

The First 1000 Euler Numbers

Rating 1.3
Word count
569K words
Chapters
57

Tags

Summary

Project Gutenberg was the first provider of free electronic books, or eBooks. Michael Hart, founder of Project Gutenberg, invented eBooks in 1971 and his memory continues to inspire the creation of eBooks and related technologies today.The First 1000 Euler Numbers by Simon PlouffeAuthor: ,Language: English, Class: QA: Science: Mathematics, Release Date: Apr 1, 2001

Editor's review

The First 1000 Euler Numbers is a computational mathematics resource compiled by Simon Plouffe—a reference work rather than an explanatory treatise. Its core value lies in gathering the numerical values of the Euler number sequence in one place, making it convenient for lookup, programmatic verification, and reference in combinatorial mathematics calculations. The Project Gutenberg electronic format is well suited to searching and copying, but the reading experience leans toward data consultation; it is not intended as continuous reading. For readers who need to check specific Euler number values, study generation algorithms, or run numerical experiments, this resource saves lookup time; for readers seeking to understand the definition, properties, and applications of Euler numbers, it must be used alongside textbooks or papers. Users should note that the data covers only the first 1000 terms and should independently verify format and precision.

Who it's for

A good fit for

  • Mathematical researchers who need to look up specific Euler number values
  • Advanced students doing combinatorial mathematics or numerical computation exercises
  • Developers writing programs to verify Euler number generation algorithms
  • Data workers compiling mathematical constants and sequences

Not a good fit for

  • Beginners seeking a systematic introduction to the definition and properties of Euler numbers
  • General readers looking for continuous-reading popular mathematics books
  • Computational projects requiring more than the first 1000 terms

Reading tips

  1. First determine the index range of the Euler numbers needed, then locate the corresponding entries rather than reading through.
  2. Import the data into a spreadsheet or script and spot-check it against known formulas or programs.
  3. Read alongside a combinatorial mathematics textbook to understand the meaning of Euler numbers in permutation statistics.
  4. Record the version information of the electronic text used for later verification and citation.

About the publisher

Project Gutenberg United States · Founded in 1971

Project Gutenberg is a digital publishing project focused on public-domain ebooks. Its publishing direction centers on classic literary works whose copyright has expired, covering genres such as poetry, drama, fiction, and epic. Representative books include Lyrical Ballads by Wordsworth and Coleridge, Proust's Du côté de chez Swann, Shakespeare's Macbeth and The Complete Works of William Shakespeare, Homer's The Iliad, Dante's La Divina Comèdia: Purgatòri, Cervantes's The History of Don Quixote, Volume 2, and Grahame's The Wind in the Willows. Its author resources consist mainly of classic Western writers such as Wordsworth, Proust, Shakespeare, Homer, Dante, Cervantes, Grahame, and Tolstoy. Its publishing feature is the provision of freely accessible ebooks in EPUB and Kindle formats; it is not a traditional publisher, and publicly available information is limited.

Contents

  1. 1
  2. 2
  3. 3
  4. 4
  5. 5
  6. 6
  7. 7
  8. 8
  9. 9
  10. 10
  11. 11
  12. 12
  13. 13
  14. 14
  15. 15
  16. 16
  17. 17
  18. 18
  19. 19
  20. 20
  21. 21
  22. 22
  23. 23
  24. 24
  25. 25
  26. 26
  27. 27
  28. 28
  29. 29
  30. 30
  31. 31
  32. 32
  33. 33
  34. 34
  35. 35
  36. 36
  37. 37
  38. 38
  39. 39
  40. 40
  41. 41
  42. 42
  43. 43
  44. 44
  45. 45
  46. 46
  47. 47
  48. 48
  49. 49
  50. 50
  51. 51
  52. 52
  53. 53
  54. 54
  55. 55
  56. 56
  57. 57

FAQ

Does this resource include derivations of the Euler numbers?
Judging by its nature, it is primarily a compilation of Euler number values, not a textbook that explains derivations. To learn the generating formulas and proofs, consult combinatorial mathematics or number theory literature alongside it.
Can the data be used directly for programming tests?
It can serve as a test reference, but first spot-check several known values to confirm that the text format, delimiters, and numerical precision are correct before using it for automated comparison or algorithm verification.
Why only the first 1000 Euler numbers?
The title states the scope as the first 1000 terms; this is the inclusion boundary set by the compiler. Needs beyond this range require other data tables or independent computation.

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