July 2013
Intermediate to advanced
282 pages
6h 28m
English
| Preface |
| Where’d This Book Come From? |
| Who This Book Is For |
| How to Read This Book |
| What Do You Need? |
| Acknowledgments |
| 1. | Natural Numbers |
| The Naturals, Axiomatically Speaking |
| Using Peano Induction |
| 2. | Integers |
| What’s an Integer? |
| Constructing the Integers—Naturally |
| 3. | Real Numbers |
| The Reals, Informally |
| The Reals, Axiomatically |
| The Reals, Constructively |
| 4. | Irrational and Transcendental Numbers |
| What Are Irrational Numbers? |
| The Argh! Moments of Irrational Numbers |
| What Does It Mean, and Why Does It Matter? |
| 5. | Zero |
| The History of Zero |
| An Annoyingly Difficult Number |
| 6. | e: The Unnatural Natural Number |
| The Number That’s Everywhere |
| History |
| Does e Have a Meaning? |
| 7. | φ: The Golden Ratio |
| What Is the Golden Ratio? |
| Legendary Nonsense |
| Where It Really ... |
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