Puritan writings reveal the Trinitarian character of theology. The Puritans were driven by a deep sense of the infinite glory of a Triune God. When they answered the first question of the Shorter Catechism that man’s chief end was to glorify God, they meant the Triune God: Father, Son, and Holy Spirit. They took John Calvin’s glorious understanding of the unity of the Trinity in the Godhead, and showed how that worked itself out in electing, redeeming, and sanctifying love and grace in the lives of believers. John Owen wrote an entire book on the Christian believer’s communion with God as Father, Jesus as Savior, and the Holy Spirit as Comforter. The Puritans teach us how to remain God-centered while being vitally concerned about Christian experience, so that we don’t fall into the trap of glorifying experience for its own sake.
If you want to appreciate each Person of the Trinity, so that you can say with Samuel Rutherford, “I don’t know which Person of the Trinity I love the most, but this I know, I love each of them, and I need them all,” read John Owen’s Communion with God and Jonathan Edwards on the Trinity.