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Here are some I can recommend, and I had a couple of these in my history classes so they might seem to be a bit more than you like but they are not bad reads even for non-history types. They are not difficult to get into even if you are not a historian, although modern Chinese history especially in the warlord era is complex so it does take a little bit of time to understand the complexities.
These should get you started, I'd recommend the Grasso, Corrin and Kort book only for its brief synopsis bits of many of the changes in China from the end of the Qing to modernization but I also had classes with Professor Corrin a few years ago so I am slightly biased there. The Changing Face of China might be more to your liking if you want to know about the modern attitudes and changes in China since 1949 and has some good detail on each stage of development and might be the style you want to read.
They are not really history books but Red Azalea by Anchee Min and The Good Earth by Pearl S Buck are views on China that are more fictional, although Anchee Min's story is more about her life in China through the Cultural Revolution. Pearl S Buck is more about China at the end of the Qing and is considered a very good capture of Chinese culture from an outsider for the time.
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You definitely want to read Tai-Pan and Noble House by Clavell.
They are about the foundation of Hong Kong (Tai-Pan) and its economic boom in the 1960s (Noble House).
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I can't believe no one mentioned The Search for Modern China by Jonathan Spence. It is a rather long book and covers a longer time period than asked for by the OP. He is a very good writer who can synthesize the story and the main idea behind historical events. His writing is very easy to read yet also academic. It is the book to have if you want a general understanding of recent Chinese history and politics.
The book spans 1600s to 2000 but I think to understanding the events leading up to the 20th century one must step back a few centuries to examine China's opening up to the rest of the world and the collapse of dynastic rule.