If you are looking for books that are showing some weak points of Calvinism I would like to recommend you a couple. Many people today embrace Calvinist theology because of gifted and popular teachers like John Piper, R.C. Sproul, Albert Mohler, Mark Dever, and John MacArthur. All these men are great teachers, pastors, and ministers of God, but same time we should at least learn about the other aspects of Calvinism that we don’t hear from these influential teachers. These books will help you to see Calvinism from a non-Calvinistic view.

Chosen But Free by Norman Geisler

This is a great book by great theologian Norman Geisler on the election and free will of man. He is taking a moderate position, and explains the issues with a hyper Calvinistic view of providence and election. What I like about this book is that Geisler goes through all the Scriptures in the Bible that Calvinist theology uses as their strongholds and explains from a non-Calvinistic view in a very brief and precise manner.  

If God Why Evil? by Norman Geisler

Hercules’s heel of Calvinist theology is the problem of evil. If God predestined everything then where did evil come from? Did God ordain evil? Did God ordain child to be abused? Did God ordained Holocoust? If you are minister you know that people ask a lot of questions about evil things that happened in their lives. Well, this book gives great non-calvinistic explanation why evil happens and what is the origin of evil. This probably the best book that I read on this topic that takes this complex questions and puts it in very simple terms. Another good book that I read on this topic is Evil and the Justice of God by N.T. Wright. But I found Geisler book much more stronger theologically and clear in explanation. 

Against Calvinism by Roger Olson

Roger Olson is an Arminian theologian that looks at the Calvinist theology and shows the inconsistencies of Calvnist theology with the Word of God. Roger Olson argues that TULIP distorts the character of God, and diminishes the love of God that Scriptures teach. He also looks at the doctrines of election, predestination, and salvation from the Aminian theological perspective and explains how it is taught in the Scriptures. I think this is a really good book to read if you want to see another view of the doctrines that TULIP emphasizes and also see the overall systematized view of theology from an Arminian perspective.