Phu Xuan University Library
Transition to Higher Mathematics

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Transition to Higher Mathematics

This book is written for students who have taken calculus and want to learn what “real mathematics" is. We hope you will find the material engaging and interesting, and that you will be encouraged to learn more advanced mathematics. This is the second edition of our text. It is intended for students who have taken a calculus course, and are interested in learning what higher mathematics is all about. It can be used as a textbook for an "Introduction to Proofs" course, or for self-study.

Author
Bob Dumas and John E. McCarthy
Publisher
University of Washington and Washington University in St. Louis
Source
LibreTexts
License
CC BY
Language
EN
Category
Basic Sciences
Contents· 69 sections
  1. 01: New Page
  2. 1.01: New Page
  3. 1.02: New Page
  4. 1.03: New Page
  5. 1.04: New Page
  6. 1.5: Images and Inverses
  7. 1.6: Sequences
  8. 1.7: Russell’s Paradox
  9. 1.8: Exercises
  10. 1.9: Hints to get started on some exercises
  11. 02: New Page
  12. 2.01: New Page
  13. 2.02: New Page
  14. 2.03: New Page
  15. 2.04: New Page
  16. 2.05: New Page
  17. 2.6: Exercises
  18. 03: New Page
  19. 3.01: New Page
  20. 3.02: New Page
  21. 3.03: New Page
  22. 3.04: New Page
  23. 3.05: New Page
  24. 3.06: New Page
  25. 04: New Page
  26. 4.01: New Page
  27. 4.02: New Page
  28. 4.03: New Page
  29. 4.04: New Page
  30. 4.05: New Page
  31. 05: New Page
  32. 5.01: New Page
  33. 5.02: New Page
  34. 5.03: New Page
  35. 5.04: New Page
  36. 06: New Page
  37. 6.01: New Page
  38. 6.02: New Page
  39. 6.03: New Page
  40. 6.04: New Page
  41. 6.05: New Page
  42. 6.06: New Page
  43. 07: New Page
  44. 7.01: New Page
  45. 7.02: New Page
  46. 7.03: New Page
  47. 7.04: New Page
  48. 7.05: New Page
  49. 7.06: New Page
  50. 08: New Page
  51. 8.01: New Page
  52. 8.02: New Page
  53. 8.03: New Page
  54. 8.04: New Page
  55. 8.05: New Page
  56. 8.06: New Page
  57. 8.07: New Page
  58. 8.08: New Page
  59. 8.09: New Page
  60. 8.10: Order-Completeness
  61. 8.11: Exercises
  62. 09: New Page
  63. 9.01: New Page
  64. 9.02: New Page
  65. 9.03: New Page
  66. 9.04: New Page
  67. 9.05: New Page
  68. 9.06: New Page
  69. 9.07: New Page