The Archimage's Fourth Daughter (Magic by the Numbers) (Volume 4)

A strange planet with different technology
No one knows about magic
Or do they?
A fun read. It sticks to the rules [Hardy] laid out 30 years ago, [but this time] the stakes are higher. - Larry Niven

Finally! A book in the Magic by the Numbers series that has a female as the protagonist!

Briana knew she should obey her father, Alodar, the Archimage. She did not have any experience for the job, but adventure beckoned. How hard could it be?

Quite hard, it turns out. Learning centers called colleges rather than magician palaces. The stock market. Erupting volcanoes. Underground aliens plotting to escape from their frigid prison. Three brothers, each with his own agenda on how best to proceed. One has a plan to destroy all native life in a very simple way.

A welcome addition to the series. Would like to see more – Christopher Macy
Delightful return to a Favorite Series – Melinda
New worlds, great science and fantasy – Stephen Wolf
A captivating and entertaining novel – Seregil of Rhiminee

In the tradition of Fletcher Pratt and L. Sprague deCamp
A stand-alone tale of discovery. No need to read any preceding novel in the series first
The Archimage's Fourth Daughter -- a classic tale of action, adventure -- and romance