Judging from the calligraphy in the picture, it should be modern calligraphy. The calligraphy style is regular script, which is a bit interesting.
As for your question, it's hard to say whose calligraphy this is. There are too many modern calligraphers, not to mention that book.
It should not be a famous calligraphy.
If you like this style and taste, you can find some small letters in the Jin and Tang Dynasties, such as Huang Tingjing written by Wang Xizhi in the Jin Dynasty.
Yu Ben's Yue Lun and Yi Yi's Sonnets. In the Tang Dynasty, Ling Fei's Jing and Ou Yangxun's short letters were many.
Most of the later lower case calligraphy was directly or indirectly influenced by them, but few of them could achieve skill and flavor.
So it is better to learn from the ancients directly and have a high style.