Step 1: What the question asks.
We need to know who wrote the famous book "Systema Naturae".
Step 2: Background.
Naming and grouping living things in a proper order is called taxonomy. A few scientists in history gave us the rules and the big books for this.
Step 3: The key fact.
Carl Linnaeus is called the father of modern taxonomy. He wrote "Systema Naturae", where he arranged living things in a neat ranking system.
Step 4: Why the other names are wrong.
Mendel is famous for his work on heredity using pea plants, not for this book. Bauhin is linked to early two-word naming ideas. Hutchinson is known for a plant classification system, but he did not write this book.
Step 5: Putting it together.
Only Linnaeus fits as the author of "Systema Naturae".
Step 6: Conclusion.
Therefore the correct answer is "Linnaeus". \[ \\boxed{\\text{Linnaeus}} \]